Equations Word Problems
An equation is a mathematical statement, in symbols, that two things are the same (or equivalent). Equations are written with an equal sign. Equations are often used to state the equality of two expressions containing one or more variables.
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Danny had $22.00 in loonies and toonies. a) Write a linear relation for the total amount of money in terms of the number of loonies and toonies. b) Write an equation to express the number of toonies in terms of the number of loonies. c) Use the equation to determine 4 diffrent possible combintations of coins Danny could have.

A supplier gives a quote for you: $3000 for 500 tshirts; $5500 for 1000 tshirts. Assume there is a linear relationship between the number of tshirts ordered (n) and the total cost (C). Show the relationship on a qraph with n on the horizontal axis.

A 240 inches pipe is cut into two pieces. One piece is 3 times the length of the other. Find the lengths of the peices.

I have 9 boxes and each box contains equal number of books. If there are 99 books in all how many books each box contain?

A boat traveled 126 miles downstream and back. The trip downstream took 6 hours. The trip back took 42 hours. Find the speed of the boat in still water and the speed of the current.

The school that Asanji goes to is selling tickets to a play. On the first day of ticket sales the school sold 10 senior citizen tickets and 9 student tickets for a total of $200. The school took in $87 on the second day by selling 7 senior citizen tickets and 1 student ticket. What is the price each of one senior citizen ticket and one student ticket?

Simone has 16 player on her soccer team. There are 6 more boys than girls. How many boys and how many girls?

The formula for velocity is v = (sqrt. 2gh). Find g when h = 2 and v = 12.

If ab=6, bc=9 and ac=13, what must be true of points a,b, and c?

Suppose that an object is 100 pounds when it is at sea level. Find the value of C that make the equation true. Sea level is 3,963 miles from the center of the earth.

April buys eight books for $44. Paperback books cost $4 and hardback cost $8. How much of each type did she buy?

Bob, driving a new Ford, travels 330 miles in the same amount of time it takes John, driving and old Chevy and traveling 10 miles per hour faster, to travel 390 miles. How fast is Bob driving?

The following table gives the population (in millions) of Georgia and North Carolina in 1990 and 2003. Year Georgia North Carolina 1990 6.5 6.8 2003 8.7 8.4 Assume that the population growths are linear. Find when the two states had equal populations and find that population.

Aprroximately 4.5 million wrecked cars are recycled in two consecutive years. There were 700,000 more recycled the second year than the first year. How many are recycled each year?

Two numbers have a sum of 127. The larger is 17 more than the smaller. What are the numbers?

Sarah had an idea, what would happen if you put a golf ball inside a basketball? How much room would there be inside the basketball afterwards. Her golf ball has a radius of 1.68 inches while her basketball has a diameter of 9.4 inches. How much space will be left over after the golf ball is placed inside the basketball?

Two satellites are orbiting earth. The path of one has the equation x2 +y2 = 2250000. The orbit of the other is 200 km farther fro the centre of earth. In one orbit, how much farther does the second satellite travel than the first one?

The owner of a health foods store determines that the demand equation for sellin a nutritional supplement is p=18  0.5 square root ((x4) where p is the price of dollars and x is the number of bottles demanded per week. Solve the equation for x.

A circle with radius 5 has its center at (4,1). the line x2y+4=0 intersects the circle. find the intersections

The sum of two numbers is 42. The difference is 14. Find the two numbers.

How do the Quarter Pounder and Whopper with cheese measure up in the calorie department? Actually, not too well. Two Quarter Pounders and three whoppers with cheese provide 2607 calories. Even with one of each provides enough calories to bring tears to Jenny Crag`s eyes9 calories in excess of what is allowed on a 1000 caloriesaday diet. Find the calories in each item.

6 times a number decreased by 5 is the same as 4 times the number increased by 9. What is the number?

The product of whole positive even integer and the product of the next larger positive integer equals the reciprocal of the first integer. Find the larger.

The tallest structure in the U.S. is a TV tower in Blanchard, North Dakota. Its height is 2063 feet. A 2382foot length of wire is to be used as a guy wire attached to the top of the tower. Approximate to the nearest foot how far from the base of the tower the guy wire must be anchored to the ground.

My friends and I went to the mall last Saturday. We went into Hollister. A shirt was on sale for $25.00 . 5 times the cost of the skinny jean minus the cost of the shirt equals $300.00. How much does the Skinny Jean cost?

A piggy bank contains 20 coins, consisting of nickels and dimes. How many of each type of coin are there if the piggy bank contains $1.40?

A framer at a photo gallery wants to frame a print with a matte of uniform width all around the print. To make it pleasing to the eye, the area of the matte should equal the area of the print. If the print measures 40 cm by 60 cm, how wide should the matte be?

The sum of two numbers is 26 and their difference is four. Find the numbers.

You want to put a fence around your vegetable garden. The garden has a square shape. You want the fence to be one yard away from each side of the garden. You used 56 yards of fencing. What are the dimensions of your garden?

An intake pipe can fill a certain tank in 6 hours when the outlet pipe is closed, but with the outlet pipe open it takes 9 hours. How long would it take the outlet pipe to empty a full tank?

A balloon is rising from the ground at 4 feet per second. Another balloon is at 756 feet and descending at 3 feet per second. In how many seconds will the be at the same altitude?

Find the area of a circular flower bed with a diameter of 54 feet.

At the animal shelter there were 46 cats and dogs. There were 18 more dogs than cats. How many of each animal is at the shelter?

The path of the ball for many golf shots can be modeled by a quadratic function. The path of a golf ball hit at an angle of about 10 degrees to the horizontal can be modeled by the function, h= 0.002d^{2} + 0.4d, where h is the height of the ball, in meters, and d is the horizontal distance the ball travels, in meters, until it first hits the ground. a) What is the maximum height reached by the ball? b) What is the horizontal distance of the ball from the golfer when the ball reaches its maximum height? c) What distance does the ball travel horizontally until it first hits the ground?

You have made a quilt that is 4 feet by 5 feet. You want to use the remaining 10 square feet as a decorative border of uniform width. What should the width of the border be?




Solve the system of equation: 2q + 3r = 1 5q + 5r = 3

Solve the system of equations: x + y = 1 x  y = 1/3

Solve the system of equation: 23x + 21y = 593 21x + 23y = 595

Find the solutions to: 2 x4 + 7 = 3

Find the solutions to: 2 x+4 = 6

Find the solutions to: x+2 = 5

Which way does the graph of y= 2 x6 +9 open?

Which way does the absolute value graph open for y = 3 x+8 +12

Which graph is steeper? y = (1/2) x or y = (1/4) x

Where is the vertex of y = (1/2) x3 + 6

Where is the vertex of y = 2  x + (1/2)   4

Where is the vertex of the equation y = 3 x+4  6

In the quadratic formula, if b^{2}  4ac is less than 0, what can you say about the solution?

In the quadratic formula, if b^{2}  4ac is greater than 0, what can you say about the solution?

What is b^{2}  4ac called in the quadratic formula?

Graph the quadratic formula y = (1/3) (x+1)^{2} + 2

Graph the quadratic equation y = 2 (x2)^{2} + 1

a(1,4) b(6,3) What is the midpoint?


one number is five less than another. If twice the larger is divided by the smaller, the quotient is 3 and the remainder is 4. If none of the numbers is equal to zero, what are the two numbers?

Suppose you invest $2000 today and you don`t add or subtract anything from the money to your investment for 30 yrs. If you earn 12% per year on your investment every year for 30 years. How much money will you have in 30 yrs?

The perimeter of Mrs. McCord`s rectangular garden is 100 feet. If the length is 1.5 times longer than the width, what are the dimensions of the garden?

change to vertexaxis form by completing the square f(x)=x^{2}+4x5




It costs $5 to become a new member of a book club. There is a $10 charge per book ordered and tax is 7% on the books. Shipping and handling is free for all members. How many books were purchased by a new member if the total bill comes to $69.20?

A grocer plans to mix candy that sells for $2 a pound with candy that sells for $4 a pound to get a mixture that sells for $2.75 a pound. How much of each type of candy should she use if she wants a 40 pound mixture?

One positive integer is 8 less than twice another and the sum of their squares is 244

Flex drove 800 miles in x hours on Monday a) write a rational expression for his average speed. b) On tuesday he drove for 6 hours at the same average speed. Write a rational expression for his distance on tuesday.


There is a bag that contains: blue, green, and red marbles. There is a total value of 10 marbles. There are twice as many blue marbles as there are green, and the amount of red is one more than three times the amount of green. How many of each color are there?


Two numbers are in the ratio 5:2. One half of their sum is 10 and a half. Find the numbers.


During a used book sale, a total of 62 books were sold and $103 was made. The books were priced at $1.50 or $2.00 each. Find how many books are sold at $1.50 and how many at $2.00

The sum of the digits of a twodigit number is 13. The number is 27 more than the number formed by interchanging the tens digit with the one digit. Find the number.

Suppose you decide to move your garden away from the house, so you have to use 50 feet of fencing for four sides. The length of the garden must be twice as long as the width. If the area is now 139 feet square, what dimensions should the garden have?


The sum of the squares of two consecutive positive numbers is 61. what is the smaller number?

Andres and Biloy, working together, can build a chicken house in 6 2/3 hours. Andres became ill after 3 hours of working with Biloy, and Biloy finished the job, continuing to work alone in 8 1/4 more hours. How long would it take each working alone to do the job?

A town`s old street sweeper can clean the streets in 60 h. The old sweeper together with a new sweeper can clean the streets in 15 h. How long would it take the new sweeper to do the job alone?

Tina hiked 15km up a mountain trail. Her return trip along the same trail took 30 minutes less because she was able to increase her speed by 1km/h. How long did it take her to climb up and down the mountain?

Erica hiked up a mountain trial at 3km/h and returned at 4k/h. The entire trip took five hours 10 min including the half an hour she spent at the top. How long was the trial?


Twelve less than the quotient of the number and 7 is 2

Dave sold popcorn and pretzels at the game. He sold a told of $336 worth of both. He sold popcorn for $2.50 and pretzels for $2 each. He sold twice as many bags of popcorn than pretzels. How many of each did he sell?

Frank`s Specialty Coffees makes a house blend from two types of coffee beans, one selling for $9.05 per pound, and the other selling for $6.25 per pound. His house blend sells for $7.37 per pound. If he is using 9lb of the 6.25/lb beans, how many pounds of the $9.05/lb beans does he need to make his house blend?


Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Write a system of equations to represent this situation.

Diophantus was a famous Greek mathematician who lived and worked in Alexandria, Egypt, probably in the third century A.D. After he died, someone described his life in this puzzle: He was a boy for 1/6 of his life. After 1/12 more, he acquired a beard. After another 1/7, he married. In the fifth year after his marriage his son was born. The son lived half as many years as his father. Diophantus died 4 years after his son. How old was Diophantus when he died?


The sum of the squares of the two larger of three consecutive even integers is 12 less than 4 times the square of the smaller one. Find the integers.

Juan goes to a bank and gets change for a $50 bill consisting of all $5 and $1 bills. There are 22 bills in all. How many of each kind are there?

A motorcycle breaks down and the rider has to walk the rest of the way to work. The motorcycle was traveling at 45 mi/hr, and the rider walks at a speed of 6 mi/hr. The distance from home to work is 25 miles, and the total time of the trip was 2 hours. How far did the motorcyle go before it broke down.

AB is one of the direct common tangent of two circles with radius 12 cm and 4 cm respectively touching each other. Find the area of the region enclosed by the circles and tangent.

copper that was 63% pure was melted together with copper that was 90% pure to make 18 kilograms of an alloy that was 75% pure. How many kilograms of each kind were used?

Ahmed has first half of a treasure map, which indicates that the treasure is buried in the desert (2x + 6) paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must go to the Castle Rock, walk ‘x’ paces to the North, and then walk (2x + 4) paces to the East. If they share their information, then they can find ‘x’ and save a lot of digging. What is ‘x’?

Find the vertex point of y=2x+5

2x + 8y= 11 2x  2y =1 Solve using the elimination method

You are selling tickets for a high school basketball game. Student tickets cost $3 and general admission tickets cost $5. You sell 350 tickets and collect $1450. How many of each type of ticket did you sell?

A total of $8000 is invested in two funds paying 4% and 5% annual interest. The combined annual interest is $350. How much of the $8000 is invested in each account?

The length of a rectangle is 4 feet longer than twice its width. If the area is 96 square feet, find its width and length.

One eighth of a number is ten less than one fifth of the number. Find the number.

The sum of two numbers is 20. Their difference is 4. What are the numbers?

Kaya pasted 3 rows of photos on each of 5 pages of her scrapebook. She put 2 photos in each row. How many photos are in Kaya`s scrapebook?



Two taps turned on together can fill a tank in 15 mins. Separately, one tap takes 16mins longer than the other tap to fill the tank. Find the time taken to fill the tank by each tap separately?

A man buys x cans of beer at 30 cents each and (x+4) cans of lager at 35 cents each. The total cost is $3.35. Find x.

Jill ran up the hill at 6 km/hr and down at 10 km/hr. How many kms did she run in 1 hr and 20 mins?

Find an equation of variation y varies jointly as w and the square of x and inversely as z, y=25 when x=5 w=5 and z=10

A boy is now twothirds as old as his sister, and two years ago he was fiveeighths as old as she was then. Find their present ages.

5(2x6)=307x How do you do this problem.


Four times a number is 21 more than the number.

The length of a rectangle is 2 feet more than twice the width. The perimeter of the rectangle is 40 square feet. Find the length and width of the rectangle. (Hint: First write the length using an algebraic expression that contains width)

George`s mom spent 3 times as much money on fruit than dairy products. She spent twice as much on dairy products than cereal. If her bill was $48.75, how much did she spend on cereal?

Find a twodigit number where the sum of the digits is 6 and the number is 6 times the unit`s digit.

Car 1 leaves St. Louis at 12 noon, traveling at 52mph. Car 2 leaves St. Louis at 2 pm, but travels at 72mph, going in the same direction. At what time wil the cars meet?

If a 5 foot tree cost $20 then what is the price of a 6foot tree?

Three consecutive even integers are such that the square of the third is 100 more than the square of the second. Find the three integers.

A rectangular patio is 7 ft longer than it is wide. Determine the dimensions of the patio if it measures 13 ft diagonally.

A 240inch pipe is cut into 2 pieces. One piece is 3 times the length of the other. Find the lengths of the pieces.

Cary spent 1/3 of his time working on fractions and 3/6 of his time working on algebra. He spent the last 10 minutes of his class reading a chapter in his textbook. How many minutes long was the entire class?

A ball costs $1.25 and a bat costs $79.00. The team only has 150.00 to spend how many ball and bats can they buy?

If the length of each side of a square is decreased by 4 inches, the perimeter of the new square is 10 inches more than half the perimeter of the original square. what are the dimensions of the original square?

The sum of three consecutive numbers is the same as twice the value of the last number. Find the numbers.



A chemical plant is rectangular and has a length of a hundred meters and a width of sixty meters. A safety zone of uniform width surrounds the plant. if the area of the safety zone equals the area of the plant, what is the width of the safety zone?

Shoes cost $20 per pair and boots cost $60 per pair. Arlene and Jerry spent $8000 and bought 3 times as many boots as shoes. How many pairs of each did they buy?

Two cars started from the same point but traveled in opposite directions. the faster car traveled 15 kilometers faster than the slower car. after five hours the 2 cars were 575 kilometers apart. how many kilometers per hour did each car travel?

Tickets for a school play cost $4 for adults and $2 for students. At the end of the play, the school sold a total of 105 tickets and collected $360. Write a linear system. Let x be the number of adult tickets sold and let y be the number of student tickets sold. Graph the system. Find the number of adult tickets sold and the number of student tickets sold.


A boy walked at the rate of 2mph and then rode a bicycle back the same distance at the rate of 10mph. If the entire trip took 3 hours, how far and how long did he walk?

If robert has ten coins all nickels and dimes worth 70 cents how many of each kind of coin does he have?

The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures 6 m. Find the width and height.

Sally can paint a house in 4 hours. John can paint the same house in 6 hours. How fast can they paint the house together?

A community center sells a total of $301 tickets for a basketball game. An adult ticket costs $3. A student ticket costs $1. The sponsors collect $487 in ticket sales. Find the number of each type of ticket sold.

At full speed, an airplane can travel 4500 miles with the wind in 6 hours, but it requires 10 hours to travel the same distance against the wind. what is the wind speed,in miles per hour?


Crane A can unload the container ship in 10 hours, and crane B can unload it in 14 hours. Crane A started to unload the ship at noon and was joined by crane B at 2 P.M. At what time was the unloading job of the ship completed?

A rectangle corral is to be built using 70m of fencing. If the fencing has to enclose all four sides of the corral, what is the maximum possible area of the corral in square metres?

The sum of the squares of two consecutive negative even integers is 100. Find the integers.

At the afternoon matinee movie 3 adult tickets and 4 child tickets cost $41, and 4 adult tickets and 3 child tickets cost $43. Which system of linear equations below can be used to determine the price of each ticket?

The side of a square house is 24 ft long, and the house is located on a lot which is 50 ft longer than it is wide. The perimeter of the lot is 20 ft more than 5 times the perimeter of the house. Find the length of the lot.


There are 48 heads and 134 legs among the chicken and pigs on the farm. How many pigs and chickens are there?

If 3 times the second number is subtracted from the sum of the first number and 3 times the third number, the result is 2.

A mixture of 12 liters of chemical A, 16 liters of chemical B, and 26 liters of chemical C is required to kill a certain destructive crop insect. Commercial spray X contains 1, 2, and 2 parts, respectively, of these chemicals. Commercial spray Y contains only chemical C. Commercial spray Z contains only chemicals A and B in equal amounts. How much of each type of commercial spray is needed to get the desired mixture?


If the price of 3 hats and 7 shirts is $189 and 5 hats and 11 shirts is $301, what is the price of each hat and shirt?

The sum of the squares of two consecutive positive even integers is 244. Find the numbers.

Paul bought 8 eating utensils for a total of $26. Spoons cost $4 and forks cost $3. How many of each eating untensil did he buy?

solve by elimination method 4x+9y=9 x 3y=  6

Ravi will be four times his present age after five years. Find his present age?

Shelly can paint a fence in 8 hours. Karen can do it in 4 hours. How long will it take them to do the job if they work together?

Traci and Gene walk at the same rate and jog at the same rate.Traci walks for 1 hour and jogs for 1 hour, and covers a distance of 17km. Gene walks for 2 hours and jogs for half and hour, and covers a distance of 16km. Find the rate at which they both walk and the rate at which they both jog.

A parallelogram has a base of length 2x +1 and a height of x+3 and has an area of 42 square units. Find the base and height of the parallelogram. (A=BH)

Two rental airplanes were flown a total of 54 hours in one month. One plane rents for $105/h, and the other rents for $130/h. The total income from the two planes was $6570. Find the number of hours each plane was flown for the month.



Amy took a test that had a math section and an English section. She earned a total score of 88. Her math score was 6 points higher than her English score. What were her scores on each section?

Tasty Bakery sells three kinds of muffins: chocolate chip muffins at 25 cents each, oatmeal muffins at 30 cents each, and cranberry muffins at 35 cents each. Charles buys some of each kind and chooses three times as many cranberry muffins as chocolate chip muffins. If he spends $4.70 on 15 muffins, how many cranberry muffins did he buy?

Rudy must play 12 commercials during his 1hr radio show. Each commercial is either 30 sec or 60 sec long. If the total commercial time during that hour is 10 min, how many commercials of each type does Rudy play?

A rectangular lot whose perimeter is 360 ft. is fenced along 3 sides. An expensive fencing along the lot`s length costs $20 per ft. and an inexpensive fencing along the 2 side widths costs $8 per ft. The total cost of the fencing along the 3 sides comes to $3280. What are the lot`s dimensions?

A motor boat travels 400km. If the boat went 18km/h faster, it could have traveled 600 km in the same amount of time. What was the original speed of the boat?

The formula N=4x^{2}+5x+1 represents the number of households N, in thousands, in a certain city that have a computer x years after 1990. According to the formula, in what year were there 175 thousand households with computers in this city?





If a ladder is leaning against a building, and the distance from the bottom of the ladder to the building is 8 ft. less than the length of the ladder, how high up the side of the building is the top of the ladder if the distance is 1 ft. less than the length of the ladder?

Two cows in four weeks can eat all of the grass on two acres and all the grass that grows on these two acres during the four weeks. Three cows in two weeks can eat all the grass on two acres and all the grass that grows on these two acres during the two weeks. How many cows can eat in six weeks all the grass on six acres and all the grass that grows on these six acres during the six weeks? Assume that the rate of growth of the grass is constant and that the grass is evenly distributed.

there is a ring of fourteen stepping stones. A girl hops round the ring, stopping to change feet every time she has made three hops. She notices that when she has been round the ring three times, she has stopped to change feet on each one of the fourteen stones. The girl now hops round the ring, stopping to change feet every time she has made four hops. Explain why, in this case she will not stop on each one of the fourteen stones no matter how long she continues hopping around the ring.

Mike bought 3 cokes and 2 fries and paid 5.25. he also noticed the cost of an order of fries is 2 times the cost of a coke. What was the price of each coke and fry?

The total cost of a radio and a camera is $1650. If the radio costs 4/7 as much as the camera, find the cost of each item.

A company borrowed 600,000 for one year. Part was at 8% interest, part was at 10% interest rate. How much at each rate if annual interest is $53,000?



The board of directors of a corporation grant a bonus of $5000 to be divided between two employees. The senior employee receives $1200 more than the junior employee. How much does each employee receive?

The numerator of a fraction is 19 less than the denominator. If the value of the fraction is 3/8, what is the original fraction?

What number must be added to both the numerator and the denominator of the fraction 5/11 to make the result equal 5/9?


A bulldozer can move 25 tons/h of material,and an end loader can move 18 tons/h.The bulldozer costs $75/h to operate,and the end loader costs $%0/h to operate.During a 1 hour construction company moved 204 tons at a cost of $600.How many bulldozers and how many end loaders were operating during this hour?

Alvin is 15 years older than Elga. The sum of their ages is 85. What is Alvin`s age?

The length of a rectangle is 5 cm less than twice the width. If the area of the rectangle is 88 cm squared, fine the dimensions of the rectangle.

A candy shop sells two new flavors of candy. Chewy nut and chocolate chew. Each barrel of chewy nut requires 8 pounds of nuts and 4 pounds chocolate and has a profit of $540. Each barrel of chocolate chew requires 8 pounds of nuts and 2 pounds of chocolate and has a profit of $210. There are 64 pounds of nuts and 32 pounds of chocolate in stock, and the owner does not want to buy more stock to make the batch. How many barrels of each should be made for a maximum profit and what is that maximum profit?

x^{2} + 4y^{2} = 64 9y^{2}  16x^{2} = 144


Bob, traveling in a new Ford, travels 330 miles in the same amount of time it takes John, driving an old Chevy 10 miles per hour faster, to travel 390. How fast is Bob driving? How fast is John driving?

Lara arranged the books on her shelf by size. 2/10 of the books were tall, and 1/2 of the books were medium. If 12 of the books were small how many books did she arrange?

A pet store has a total of 35 dogs, cats, and snakes. The number of snakes is 1 more than dogs and there are 3 fewer snakes than cats.

A farmer raises wheat and soybeans on 215 acres. if he wants to plant 31 more acres in wheat than soybeans, how many acres of each should be planted?

I bought a can of varnish and store at temperature of 40 degree. I change to another place where the temperature was 74degree. After 2 hours the temperature of the varnish was 58 degree .If the temperature of varnish must be 68 degree for best results ,how much longer must i wait before i can use the varnish ?


The population of black mountain is 40,000 and is gowing by 800 per year. The population of Hidden Valley is 67,000 and is decreasing by 550 per year. How long will it take for both areas to have the same population?

The sum of the reciprocals of two consecutive even integers is 13/84. What are the integers?


A motorboat travels 332 in 4 hours going upstream 555 and in 5 hours going downstream. What is the speed of the boat in still water, and what is the speed of the current?


A ball is shot into the air. It`s height , h in metres after t seconds is modeled by h=4.9t^{2} + 30t +1.6. How long to 2 decimal places will it take the ball to reach a height of 35m?

Three pumps are being used to empty a small pool. The first pump is twice as fast as the second pump. The first two pumps can empty the pool in 8 hours, while all three pumps can empty it in 6 hours. How long would it take each pump to empty the pool individually? Hint: Let x represent the fraction of the pool that the first pump can empty in one hour. Let y and z represent this fraction for the second and third pumps, respectively.

Write a quadratic equation having the given numbers as solutions. 9 and 4

The restaurant can currently seat 120 people up to 4 people in each booth and up to 8 people in each table. Plan a new seating arrangement with no more than 12 sections that will hold a total of 250 people. Each section should have no more than 6 table or 6 booths and no section may have both. How many tables and booths will it take to hold a total of 250 people?

A pilot flies 630 miles with a tail wind of 35 miles per hour. Against the wind, he flies only 455 miles in the same amount of time. Find the rate of the plane in still air.

The sum of 2 numbers is 30, and their quotient is 2/3. Find the numbers.

If a certain number is added to both the numerator and denominator to the fraction 7/9, the result is 5/7. Find the number.



There are a total of 126 cats and dogs at an animal shelter. For every 5 dogs, there are 4 cats. How many cats are in the shelter?

You are selling tickets to a high school play. Student tickets cost $5 and general admission tickets cost $8. you sell 566 tickets and collect $3797. How many of each type of ticket did you sell?



A child in an airport is able to cover 291 meters in 3 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk`s motion. Running at the same speed in the direction opposite to the sidewalk`s movement, the child is able to cover 228 meters in 4 minutes. What is the child`s running speed on a still sidewalk, and what is the speed of the moving sidewalk?

The hypotenuse of a right triangle is 16 in. longer than the shortest side and 2 in. longer than the remaining side. Find the dimensions of this triangle.

At a point 30 meters from the base of the tower, the distance to the top of the tower is 2 meters more than twice the height of the tower. Find the height of the tower.

The product of two consecutive positive even intergers is one hundred sixtyeight. Find the two intergers.

A park is twice as long as it is wide. It`s length is 30m. Find the Area of the park.


Jurassic Park charges $20 for adults and $12 for children. Total bill for 454 people was $3860. How many adults and how many kids went to the park?

The difference when 7 less than a number is subtracted from twice the number is 12. What is the number?

The total proceeds from a used book sale were $115. A total of 65 books were sold. The books were priced at $1.50 and $2.00 each. How many books were sold for $1.50?



The chief executive has just requested that Suzie`s division make 300 gallons of sparkling water to sell at $6 per gallon. She wishes to mix 3 grades of water selling for $9, $3, $4.50. She must use twice as much of the 4.50 water as the 3.00. How much of each type will she have?

You want to build a fence around a square garden that covers 506.25ft^{2}. How many feet of fence will you need to complete the job?

A rectangle`s width is 4 times the length. The perimeter is 30 feet. What is the width of the rectangle?

A 63 inch pipe is cut into two pieces. If one piece has a length of z inches, what is the length, in inches, of the other piece?


The height, H metres, of a batted baseball as a function of time, t seconds, since the ball was hit can be modeled by the relation H=2.1(t2.4)^{2}+13. a) what was the maximum height of the ball? b) at what time after it was first hit did the ball reach its maximum height? c) how far off the ground was the ball first hit? d) how long did it take the ball to first hit the ground?

Find the value of two numbers if their sum is 12 and their difference is 4

The band boosters are organizing a trip to a national competion for the 226member marching band. A bus will hold 70 students and their instruments. A van will hold 8 students and their instuments. A bus costs $280 to rent for the trip. A van costs $70 to rent for the trip. The boosters have $980 to use for transportation. Solve the system.

The perimeter of a court is 108 meters. If the length is 6 meters longers than twice the width. What is the length and width.

Sam takes 6 days less than the number of days taken by John to complete a piece of work. If both Sam and John together can complete the same work in 4 days. In how many days will john complete the work?

What value of c makes x^{2}x+c a perfect square?

Twice the sum of a number and 9 is the same as 4 times the difference obtained when 6 is subtracted from the number. What is the number?

If Jennifer were three times as old as she was five years ago, she will be twenty seven more than current age. How old is Jennifer?

log_{5} (3x10) + log_{5} (7) = 2

A cricket jumps off the ground with an initial vertical velocity 4 feet per second. a. Write an equation that gives the height (in feet) of the cricket as a function of the time (in seconds) since it jumps. b. After how many seconds does the cricket land on the ground?

A construction worker is working on the roof of a building. A drop of paint falls from a rafter that is 225 feet above the ground. After how many seconds does the paint hit the ground?

Trains at each end of the 50.0kmlong Eurotunnel under the English Channel start at the same time into the tunnel. Find their speeds if the train from France travels 8.0 km/m faster than the train from England and they pass in 17.0 min.

The perimeter of a rectangular lawn is 24m. If the area of the lawn is 35m^{2}, how wide is the lawn?

The fencing to surround a flower garden 14 feet by 9 feet costs $8 per foot. What is the total cost to fence in the garden?

A software development company is getting ready to release a new product. The QA Director is notified the following: A Junior Verification Engineer takes 1 hour longer to fix a bug than it takes a Senior Engineer. If they can fix the bug in 5 hours working together, how long would it take each Engineer to finish the task by themselves?

Two hundred tickets for the school play were sold. Tickets cost $2.00 for students and $3 for adults. The total amount collected was $490.00. How many student tickets were sold?

The difference of a positive number and its square is 30. Find the number.

The sum of three numbers is 15. The third number is nine less than the sum of the first and second number. The first number is four more than the third number. What are the numbers?

The sum of three numbers is 64. The second number is 3 more than the first. The third number is 11 less than twice the first. Find the numbers

A car leaves New York traveling south at 50 m/hr. One hour later, another car leaves New York on the same road traveling south at 55m/hr. How far from New York will the faster car overtake the slower car?

A model rocket is shot into the air and its path is approximated by h = 5t^{2} + 30t where h is the height of the rocket above the ground in metres and t is the elapsed time in seconds. When will the rocket hit the ground?

A total of 512 tickets were sold for the school play. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold?




Harry can paint a room in 3 hours, and Kerry can paint it in 4 hours. How long will it take if they work together?


2x + y^{2}  4y + 4 = 0 x + y = 2

Write a mathematical expression for each number 1 through 18, using only the number 4 and mathematical symbols. The goal is to use the fewest number of 4s as possible. No other digit can be used. NOTE: Fours can be combined to create 44, 4.4, 444, 0.4, and so on.

I have $50 consisting of all $5 bills and $1 bills and total of 22 bills. How many of each kind are there?

Stella’s Catering is planning a wedding reception. The bride and groom would like to serve a nut mixture containing 25% peanuts. Stella has available mixtures that are either 40% or 10% peanuts. How much of each type should be mixed to get a 10 lb mixture that is 25% peanuts?

A total of 50 juniors and seniors were to give a mathmatics test. The 35 juniors attained an average score of 80 while the 15 sneiors attained an average of 70. What was the average for all 50 students who took the test?

A machine produces open boxes using square sheets of plastic. The machine cuts equal sized squares measuring 2 inches on a side from each corner of the sheet, and then shapes the plastic into an open box by turning up th esides. If each box must have a volume of 242 cubic inches, find the length of one side of the open box. Define vairables (including units).

The area of a triangle is 30in^{2}. The base of the triangle measures 2 in. more than twice the height of the triangle. Find the measures of the base and the height.

9 times the side of one square exceeds the perimeter of the second square by 1 metre and 6 times the area of the second square exceeds 29 times the area of the first by 1 square metre. Find the side of each square?

A bike shop rents mountain bikes for a $8.50 insurance charge plus $3.50 per hour. For how many hours can a person rent a bike with $32.50?

Ruby is 6 years younger than Carlo. The average of their ages now, is twice Ruby`s age 5 years ago. How old are they?

The length of a rectangular field is 24 meters. This is 3 meters less than twice the width. Find the width.

There are two phone plans. One plan has $28 one time fee, and 9 cents a min. The second is 13 cents a min. How many mins of ues to make the plans cost the same?


Mark bought 114 meters of fencing to enclose an area of pasture for his sheep. He plans to use all of the fencing to make a rectangle that is twice as long as it is wide. What is the length in meters of the area he plans to fence?

The length, L, of a certain rectangle is four feet more than three times its width, W. The perimeter of the rectangle is 88 inches. Find the length.

I think of a number. I add 100 and subtract 10. My answer is 100. What is my number?

Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x + 4 paces to the east. If they share their information, then they can find x and save a lot of digging. What is x?

At an IMAX theatre, the giant rectangular screen has a width 36 feet less than its length. If the perimeter of the screen is 332 feet, find the length and width of the screen.

A running track has straight sides and a semicircular ends. If the length of the track is 440 yd and the two straight parts are each 110 yd long, what is the radius of the semicircular parts?

The sum of two numbers is 12 and product is 32. What are those numbers?

A rectangular garden is 5 feet longer than twice its width. It has a sidewalk 3 feet wide on two of its sides. The area of the sidewalk is 213 square feet. Find the dimensions of the garden.

Two houses are for sale on the same street. The second house has 1000 square feet less than twice the square feet of the first house. Together the houseshave 4400 square feet. What is the square footage of the first house?








Nancy had &18,000 in savings. She invested part of it at 7.5% interest and the rest at 9%. If the total income from the two investments was $1560, how much did she invest at 9%?

A commercial jet airplane climbs at takeoff with slope m=3/8. How far in the horizontal direction will the airplane fly to reach an altitude of 12,000 ft above the takeoff point?

The length of the top of a table is 6m greater than the width. The area is 91m squared. Find the dimensions of the table.

a tank contains 200 gallons of solutions consisting of 50 kg of salt dissolved in water. pure water is pumped into the tank at the rate of 5 gal/min, and the mixture  kept uniform by stirring  is pumped out at the same rate. How long will it be until only 1 kg of salt remains int he tank?

Rudy must play 12 commercials during his 1hr radio show. Each commercial is either 30 sec or 60 sec long. If the total commercial time during that hour is 10 min, how many commercials of each type does Rudy play?

Fencing Your Garden It takes 80 feet of fencing to enclose your garden. According to your calculations, you will need 350 square feet to plant everything you want. Is your garden big enough? Explain your answer. ...

An amount of 40% acid solution is to be mixed with enough 10% acid solution to make 25% acid solution. If there are to be 20 litres of the final mixture, how much of each solution should be mixed together?

A group of 10 workers were responsible for assembling hotplates. Anumber of different modles were manufactured. With small tools, each worker assembled part of a hotplate. The partiallycompleted hotplate was placed on a belt, to be carried from one assembly station to the next. When completed, an inspector would chek it over. The workers were paid a straight hourly rate and were supposed to take the same amount of time to complete their task. Morale seemed to be low, inspector found a relatively high percentage of badly assembled hotplaces. Rejects were caused by operator error rather than faulty materials were 23 percent. The workers decided they would build hotplats individually. Productivity climbed quickly. By the end of the year,productivity rose 84 percent higherthan during the first half of the year. Controllable rejects dropped from 23 to 1 percent during the same period. Absenteesim dropped from 8percent to 1 percent. Reject level was so low that inspections were done by the workers themselves. What changes in the work situation might account for the increase in productivity and tghe decrease in controllable rejects? 2. What might account for the drop in absenteeism and the increase in morale? 3. What were the major changes in the situation? Which changes were under the control of the manager? Which were controlledby workers? What might happen if the workers went back to the old assembly method?

A father is four times as old as his daughter. In 6 years, he will be three times as old as she is. How old is the daughter now?

Use your equation from part a to approximate how many years it would take for the population to reach 7000. Round to the nearest whole year when necessary.

An airplane makes a 900km flight with a tailwind and returns, flying into the same wind. The total flying time is 3 hrs 20 mins. The planes speed in still air is 600km/h. What is the wind speed. Answer is 60km/h. How?

you are putting a fence around a rectangular garden with the lengeth 15 and the width of 8 feet . What is the lengthof the fence that you will need

At the end of the year, a business has made a profit of $150,000 and is trying to calculate the amount of tax due to the federal government and to the state. The federal tax rate is 30%, and the state tax rate is 10%, but state taxes are deductible before federal taxes are calculated, and federal taxes are deductible before state taxes are calculated. In other words, state taxes are subtracted from the profits before the 30% federal tax is calculated, and federal taxes are subtracted from the profits before the 10% state tax is calculated. Write down and solve a system of equations to figure out how much state and federal taxes are owed by this company.

i want to change the carpet in an office that measure 12 feet by 15 feet, if the carpet cost $12.50 per square yard how much is it ?

the length of a triangle is twice the width. the area is 512^2 what is the width and the length

The width of a rectangle is 15 feet less than its length, and the perimeter is 210 feet. Find the width

the manager of a movie theater found that Saturday`s total sales were $3675. he knew that a total of 650 tickets were sold. Adult tickets cost $7.50 and child tickets cost $4.50. how many of each kind of tickets were sold?

a toy train has 20 cars blue, purple and orange. there are 4 times as many blue cars as purple cars. there are 5 times as many orange cars as purple cars. how many cars of each color are there?

Nancy had $18,000 in savings. She invested part of it at 7.5% interest and the rest at 9%. If the total income from the two investments was $1560, how much did she invest at 9%?

Two cell phone companies are promoting cell phone plans. Company A offers a flat fee of $90.00 per month. Company B offers a different plan. It will cost $15 per month for service and $.10 per minute. You will need to compare the two pans to decide which cell phone company is the best for you.


The perimeter of a rectangle is 202 inches. The length exceeds the width by 61 inches. Find the length and the width.


If f(x) equals X to the fourth power minus x plus 2, then F(x) equals?

write an expression for the cost of food if n people attend the fundraiser. $5.25 pp

there are 150 apples and they need to split between 40 friends for 30 diffrent pies how much will each friend have in the pies

mike and adam left a bus terminal at the same time and traveled in opposite directions. Mike`s bus was heavy in traffic and had to travel 20mi/h slower than adam`s bus. after 3 hours, their buses were 270 miles apart. how fast was each bus going?

A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipen opened. If both pipes are accidentally opened when the tank is full, then how long will it take to empty the tank?

Yvonne sold 15 tickets to a play. Some of the tickets were adult tickets that cost $5 each and some were children tickets that cost $2 each. All together Yvonne has $60. How many of each ticket did he sell?


billy can mow his mother`s lawn in 6 minutes.His brother Jim can mow it in 9 minutes.How long wil it take them to it together,if each has his own lawnmower

If shelly can paint the house in 4 hours and john can paint the same house in 6 hours how long will it take them to paint the house together

A total of tickets were sold for the school play. The number of student tickets sold was three times the number of adult tickets sold . How many adult tickets were sold?


The sum of two numbers is 62. Their difference is 16. Find the numbers

The value of an uncirculated `Mint State65` 1950 Jefferson nickel minted in denver is 5/3 the value of a 1945 nickel minted in Philadelphia in similar condition. Together the total value of the two coins is $56. What is the value of each coin?

A job is shared by 4 workers, W, X, Y, and Z. Worker W does 1/4 of the total hours. Worker X does 1/3 of the total hours. Worker Y does 1/6 of the total hours. What fraction represents the remaining hours allocated to person Z?

It takes Suzie 8 hours to paint a room and it takes Billy 6 hours to paint the same size room. How long will it take them if they paint the room together?

The number of computers produced by a certain factory varies jointly as the number of workers and the time they work. 400 workers can produce 120 cmputers in 2 hours, how many computers can 480 workers produce in 3 hours

a 240in. pipe is cut into two pieces. one piece is three times the length of the other. Find the lengths of the pieces.

Lowfat yogurt. Ziggy’s Famous Yogurt blends regular yogurt that is 3% fat with its nofat yogurt to obtain lowfat yogurt that is 1% fat. How many pounds of regular yogurt and how many pounds of nofat yogurt should be mixed to obtain 60 pounds of lowfat yogurt?

the width of a photograph is 4 cm more then three tenths of the lenth. if the width is 13 cm find the length

6c. Mark Clay has twice as many 10centavo coins as 25centavo coins, amounting to $6.75 in all. How many coins does he have?


the stoppint distance of d of a car after the breades are applied varies directly as the square of the speed r. If a car travelling 30 mph can stop in fo FT, how many feet will it take the same car to stop when it is traveling 40 mph?

Marilyn is three years younger than her friend Rosie. In seven years the product of their ages will be 5 more than thrice the product of their ages 5 years ago. How old are each at present?

Caroline has eight more quarters than dimes. All together she has $4.10. How many of each coin does she have?

A total of 50 juniors and seniors were fiven a mathematics test. The 35 junior attained an average score of 80 while the 15 seniors attained an average of 70. What was the average score for all 50 students who took the test?

johnn and peter can do a piece of work in 3 3/7 days .while john works 3 days and peter works 4 days, they will finish the work .Find the time required by each to do the work

Find all points (x,y) with x=y that are 3 units away from point (2,7)

a piece of wire 100 inches long is cut into two pieces and each bent into the shape of a square. If the Sum of the areas of the two squares is 400 in^2, fiind the length of each piece of wire

Consumer Cost: a customer has $70 to spend in a grocery store. She spends %28.20 for canned goods. The remaining amount is needed to buy a total of 9 pounds of steak and chicken. If the cost per pound for steak and chicken is $6.95 and $2.80 respectively, how many pounds of each meat can she afford to buy?

The base of a triangle exceeds the height by 4 inches. The area of the triangle is 30 square inches. Find the height of the triangle.

A boat travels 12 km upstream and back in 1 hour 45 minutes. If the speed of the current is 3 km/h throughout, find the speed of the boat in still water?

A 60foot pipe is divided into three pieces. One piece is twice as long as the shortest piece. Another piece is 4 feet less than five times the shortest piece.

a rectangular box is to be built with a 15 by 12 ft. piece of material by cutting square corners, if the volume of the box is 176 cubic ft. find the dimensions of the square corners

In a family there are two cars. In a given week, the first car gets an average of 40 miles per gallon, and the second car gets 35 miles per gallon. The two cars combined drive a total of 2450 miles in that week, for a total gas consumption of 65 gallons. How many gallons were consumed by each of the two cars that week?

The rate of change of the number of mountain lions N(t) in a population is directly proportional to 725 – N(t), where t is the time in years. When t = 0, the population is 400. When t = 3, the population is 650. Find the population when t = 5. Round your answer to the nearest 50 mountain lions. a. Write the implied differential equation. b. Solve the equation to find the general solution. c. Use the given information to find a particular solution. d. Use the particular solution to answer the question.

which is a better plan? plan a: invest $1000 at 4% compounded quarterly for 3 years plan b: invest $1000 at 3.9% compounded monthly for 3 years

In 1920 the record for a certain race was 46.3 sec. In 1930, it was 46.2 sec. Let R(t)= the record in the race and t = the number of years since 1920. A) find a linear function that fits the data. B)use the function in (a) to predict the record in 2003 and in 2006. C) find the year when the record will be 45.40 sec.


A child in an airport is able to cover 324 meters in 3 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk`s motion. Running at the same speed in the direction opposite to the sidewalk`s movement, the child is able to cover 360 meters in 6 minutes. What is the child`s running speed on a still sidewalk, and what is the speed of the moving sidewalk?


Remi has $8.40 in a jar that contains only nickels and dimes. There are 108 coins in the jar. How many nickels are in the jar?

Carol Blitz plans to buy shares of two stocks. One costs $32 per share and pays dividends of $1.20 per share. The other costs $23 per share and pays dividends of $1.40 per share. She has $10,100 to spend and wants to earn dividends of $540. How many shares of each stock should she buy?

7.9 percent for white students, compared to 13.6 percent for black students and 27.5 percent for Hispanic students dropedout from high school.

She can paint fence in 5 hours with tom 3 hours. How many hours for just tom

matting around the picture has a uniform width. How wide is the matting if its area equals the area of the picture?

Find two numbers whose sum is and such that one is times as large as the other.

Suppose the perimeter (the total distance around) of a rectangular chicken yard is 56 feet and the length of the chicken yard is 16 feet. What is the width

A house costs $600.00 more than 12 times the lot on which it was built. If the lot cost x dollars, what did the house cost?

A motorboat travels 366 km in 6 hours going upstream and 264 km in 3 hours going downstream. What is the speed of the boat in still water, and what is the speed of the current?

A ladder is resting against a wall. The top of the ladder touches the wall at a height of 15 feet. Find the length of the ladder if the length is 5 feet more tnan its distance from the wall.

How do I work systems of equations word problems involving work? Examples please.

The winner of an election for class president won by a vote of 8 to 5 with 992 votes. How many votes did the loser get?


Richard received orders from his doctor to begin an exercise program. His exercise must consist of both cardiovascular work and weight training, and his weekly exercise time for the two combined must be at least hours per week. The time Richard spends doing cardiovascular work must be at least as much as the time he spends doing weight training. However, he is allowed to spend no more than hours per week doing cardiovascular work. Let denote the time, in hours per week, that Richard spends doing cardiovascular work, and let denote the time, in hours per week, that he spends doing weight training. Shade the region of the plane that represents all the weekly time allocations that satisfy Richard`s exercise requirements.

twice the smaller of two numbers is one half of the larger number. the larger is 10 more than 3 times the smaller

a theater sells two types of tickets to their plays. Childrens tickets and adult tickets. For todays performance they have sold total of 930 tickets. They have sold 4 times as many childrens tickets as adult tickets. How many childrens tickets have they sold.

a round coffee table is five feet in diameter. what will it cost to refinish it at $3 per square foot?

A shop builds chairs. Employees use two methods of building chairs. Method one takes 0.5 hours and the materials cost $6. Method two takes 1.5 hours and the materials cost $5. Next week they plan to spend 100 hours in labor and $446 hours in materials to build chairs. How many chairs do they plan to build with each method?



The cancer death rate(number of deaths per 100,000 people) in the united states can be approximatedby the equation y=2.2x + 216, where x is the number of years since 1990 solve this equation for x use this new equation to determine in which year the approximate cancer death rate will be 150.


a group of 266 persons consists of men, women, and children. there are four times as many men as children, and twice as many woman as children. how many of each are there?

Uniform Motion Problems Show a complete solution to each problem. See Example 5. Upstream, downstream: Junior’s boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the current?

Bob has two sacks of apples and four more apples in his pocket. Each sack contains the same number of apples. Altogether, Bob has 60 apples. How many apples are in each sack?

1.) In 1990, the area covered by rain forest was decreasing a about 78,000 square miles per year.Suppose that the desert areas were increasing at 50,000 square miles per year.At those rates,how many would pass before Earth`s deserts cover twice the land area that the rain forests cover? In 1990,there were about 35 million sqare miles of rain forest and 39.4 million sqare miles of desert.

a jet can travel 12000km. distance in 12 hrs.with the wind . the return trip takes 15 hrs. find the rate of the jet in still air and the rate of the wind?




As a business owner there are many decisions that you need to make on a daily basis, such as ensuring you reach the highest production levels possible with your company’s products. Your company produces two models of bicycles: Model A and Model B. Model A takes 2 hours to assemble, where Model B takes 3 hours to assemble. Model A costs $25 to make per bike where Model B costs $30 to make per bike. If your company has a total of 34 hours and $350 available per day for these two models, how many of each model can be made in a day?

1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: , where C is a constant, and r is the distance that the object is from the center of the earth.

The sum of 3 integers is 242. The second number is 3 more than twice the first and the the third number is 9 less than 5 times the first.Find the numbers.

ln times (c times (square root of a times b))

jill wants to create a rectangular garden. she purchased a box of fencing to go around her garden. each piece of fencing is 1 ft long, and many possible rectangles can she make?

jill wants to create a rectangular garden. she purchased a box of fencing to go around her garden. each piece of fencing is 1 ft long, and the box contains a total of 24 pieces.if jill uses all of the pieces, how many possible rectangles can she make?

If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?


A total of tickets were sold for the school play. There were more student tickets sold than adult tickets. How many adult tickets were sold?

If ibuy 10 floweers I will have 6 more than I have now. Tranlate this into an Algebraic expression

If i buy 10 flowers I will have 6 more than I have now. Tranlate this into an Algebraic expression

the length of a rectangle is 3 inches greater than its width. its area is 70 squares inches. what are its dimension?

a stunt pilot is testing a new plane. The equation that models his height over time is f(x)=15x2195x+950, where x is his time in second and f(x) is his height in metres. determine when the pilot is below 500 metres.


A 2mile cab ride costs $5.25. A 5mile cab ride costs $10.50. Write an equation to model the cost of the cab ride as a function of distance.

one number is 61 less than 7 times another number, if each number were multiplied by 6, then their difference would be 570, what are the numbers?

a rectangular table is two time as long as wide. if area is 50ft square. fine the length and width.

A second tank that is curently full contains 20,000 gallons of home heating oil. This tank will be emptied through a drain pipe at the rate of twenty five gallons per minute. How much heating oil will be in the tank after 10 minutes? One hour? Ten hours?

I take the kids to the movies and I purchase 3 adult tickets and 2 child tickets and the total was $43.50


An open rectangular gutter is made by turning up the sides of a piece of metal 20 inches wide. The area of the cross section of the gutter is 50 inches squared. Find the depth of the gutter.


Find the length and width of a rectangle lot with a perimeter of 70 meters if the length is 5 meters more than the width

The amount of oil used by a ship traveling at a suniform speed varies jointly with the distance and the square of the speed. If the ship uses 200 barrels of oil in traveling 500 miles at 40 miles per hour, determine how many barrels of oil are used when the ship travels 400 miles at 20 miles per hour.

$103 in consecutively numbered two dollar bills

jims weekly pay is two thirds of alica`s. together they earn $600 per week. what is each persons pay?




twice the smaller of two is one half of the larger number. the larger is 10 more than 3 times the smaller


if a number multiplied by 6, and 5 is subracted from the product, the result is 19. fund the number.

if a number multiplied by 6, and 5 is subracted from the product, the result is 19. find the number.

Perimeter of a rectangle. The width of a rectangular playground is 2x  5 feet, and the length is 3x + 9 feet. Write a polynomial P(x) that represents the perimeter and then evaluate this perimeter polynomial if x is 4 feet.

a computer or graphing calculator can quickly calculate and draw all of the points on a line. suppose a computer takes horizontal stops of +0.1 and 0.1 when drawing the points on this line?

the sum of a number y an 17 is at most 36

suppose a market research company finds that at a price of p=$20, they would sell x=42 tiles each month. If they lower the price to p=$10, then more people would purchase the tile,and they can expect to sell x=52 tiles in a months time. Find the equation of the line for the demand equation. Write your answer in the form of p=mx+b


Ruby drove M miles in H hours. Write an expression for her average speed.

the length of a certain lot is 20 feet less than four times its width. The area is 4200 sq. ft. What are the dimensions of the lot?


Two copy machines are available to print final exams, The faster copy machine can do the whole job in 75 minutes. If both machines print at the same time, they can do the whole job in 50 minutes. How long would it take the slower machine to do the whole job alone?

need to find a real world example of a rational equation

Two friends are renting an apartment. They pay the landlord the 1st monts rent. The landlord also requires them to pay an additional 1/2 of a monts rent or a security deposit. The total amount they pay the landlord before moving in is 1725.00.

Find a real number k such that the line 3x  ky + 2 = 0 has y  intercept 3

enrollment at talls gym increases by a factor of 0.2{110,132,158.4,190.1.......}

A theater sells children`s tickets for half the adult ticket price. If 5 adult tickets and 8 children`s tickets cost a total of $27, what is the cost of an adult ticket?

sally can paint a house in 4 hours and john can paint a house in 6 hours. if they work together house fast can the house get painted.

The length of a rectangleis 4ft longer than twice the width if the perimeter is 50ft find the length and width

The length of a rectangular garden is 6 feet less than 3 times its width. The area is 360 square feet. What is the length of the garden?

eight x equals one hundred eight plus four x

the width of a rectangle is 3 meters more than onefourth its length. the perimeter is 26 meters. find the length and width.

Given a rectangle that is 20 cm longer than it is wide. Express the perimeter (in cm) of a rectangle in terms of its width

What would you expect the total charge to be for working 4 hours when the total charge is the sum of the service charge ($25) and the hourly charge.

bill can paint a room alone in 6 hours. together bill and john can paint aroom of the same size in 4 hours. How long will it take john to paint a room the same size alone?

Shannon has $75.00 to spend on pizzas and soda pop for a picnic. Pizzas cost $9.00 each and the drinks cost $0.75 each. Five times as many drinks are needed. What is the maximum number of pizzas that Shannon can buy? (Use a system of equations to solve the problem.)

You borrow $10,000 to get a business up and running. If it cost $o.50 to make each golf ball and you sell them for $1.25 each, how long will it take for your business to make a profit?


The length of a rectangle is four times its width. If the perimeter of the rectangle is 60 ft , find its area

There are 3 times as many houses available with floor plan 2 than there are with floor plan 1. There are 56 houses in total that are available. How many of each floor plan is there?

a companys emplayees are working to create a new energy bar. they would like the two key ingredients to be peanut butter and oats, and they want to make sure they have enough carbohydreates and protein in the bar to supply the athlete. they want a total of 31 carbohydreates and 23 grams of protein to make the bar sufficeint. using the following table, create a system of tw equations and two unknowns to find how many tablespoons of each ingreident the bar will need. solve the sustem of equations using matirces


The sum of 5 and a number divided by 4 is 9. Find the number.


A total of 515 tickets were sold for the school play. There were 65 more student tickets sold than adult tickets. How many adult tickets were sold?

a rectangle is five times as long as it is wide. the difference of its length and width is 9 inches. find its perimeter

C= 6,000/2002x a. What is the cost to remove 75% of the pollutant? b. What is the cost to remove 90% of the pollutant? c. What is the cost to remove 99% of the pollutant? d. For what value is this equation undefined? e. Do the answers to sections ad match your expectations? Why or why not?

find a number such that 7 times the number is 56 greater than the opposite of the number.

perimeter of rectangular garden is 54 yards. the lenght is twice the width

An adult ticket to the school play costs $1.50 less than twice a student`s ticket. The adult ticket costs $4.50. How much does a student`s ticket cost?


The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $3. Total ticket sales were $1050. How many tickets of each type were sold?

Bob and Ted entered the Big Boys Bogus Tricycle Race. Ted can peddle three times as fast as Bob, and two hours into the race has a 7 mile lead. How fast was Ted peddling?

I have a problem putting word problems into equations. Here is my word problem: At $10 per ticket, the Rhythm Kings will fill all 8000 seats in the Saint cloud Arena. For every $1 increase in ticket price, 500 tickets will go unsold. Find a linear equation that gives the number of tickets sold (n) in terms of the ticket price (p). Find the revenue if the tickets are $20 each.

A contractor plans to distribute a total of $2400 in bonus money to nine carpenters and three helpers. The carpenters all get the same amount and the helpers all get the same amount. Find a linear equation that gives the helpers` bonus (h) in terms of the carpenters` bonus (c). Interpret the slope. HELP

A total of 512 tickets were sold for the school play. The number of student tickets sold was three times the number of adult tickets sold . How many adult tickets were sold?

Drama Club sold 320 adult tickets and 153 student tickets . Adult tickets were 75 cents more than student tickets. If total receipts were $949.50, what was the price of each ticket?


create a discrete dynamical system that models the following sutuation: you currently have $3,000 in your savings account. Each month you get 0.5% interest, and you deposit another $150

Suppose x is the amount of money Jenny earned on Monday, and she earned twice that amount on Tuesday. Write an expression for the amount Jenny earned on those two days.

crissy bought a pack of gum with 24 pieces .the pack of gum had the following flavors : 12.5% watermelon, 0.25 wildberry,and 5/24 grape.

a child`s coin bank contains nickels, dimes, and aurters. there are three times as many nickels as dimes and there are five more quarters than nickels. the total value of the coins in the bank is $6.25. find the number of each type of coin.

The perimeter of a pool table is 30 ft. The table is twice as long as it is wide. What is the length of the pool table?

tom had 30 pens. he gave 10 away. how much does he have left?

A boy walked 10 kilometers. He returned in a car at the rate of 30 kilomerters an hour. He was gone for 4 hours. WHat was his rate while walking?

There is a retangular garden 60 by 80 feet. I add a sidewalk xwidth across and the area of the new garden is 1/2 the size of the original. What is x, the width of the sidewalk, and the new dimensions?

Doris is as much older than Joris as Joris is older than Boris. Five years ago Doris` age was double what the age difference between her and Joris will be 15 years from now. How old is Boris?

An overseas phone call is charged at one rate for the first minute and at a different rate for each additional minute. If a 7 min call costs $10, and a 4 minute call costs $6.40, find each rate.


The width of a rectangle is 5 less than twice its length. If the area of the rectangle is 139 cm, what is the length of the diagonal?

A train leave a station going 85 kph. Another train going in the opposite direction leaves at the same time. How long until the two trains are 315 km apart?

what algebraic expression can you write to represent the total catering cost in dollars if n people attend?

Ron and Kathy are ticket sellers for their class play. Ron sells student tickets for $2.00 each, and Kathy sells adult tickets for $4.50 each. If their total revenue for 364 tickets is $1175.50, then how many tickets did Ron sell?

The sum of two integers in ten. Three times the larger integer is three less than eight times the smaller integer. Find the integers.

Tony and Chelsea both worked hard over the summer. Together, they earned a total of $425. Tony earned $25 more than Chelsea did. How much did each of them earn? Write a system of two equations with two variables to model this problem and solve for each.

Alvin`s age is two times Elga`s age. The sum of their ages is . What is Alvin`s age?

Two planes travel toward each other from cities that are 780 km apart, at rates of 190 and 200 km/h.They started at the same time. In how many hours will they meet?


The perimeter of a square equals 4 times the length of a side.


Write an expression for 3 consecutive multiples of 5 with n being the smallest number.

You have one board that measures 3 feet and 7 inches. Another board measures 4 feet. How much longer is the second board?

Two trains left a station at the same time. One traveled north at a certain speed and the other traveled south at twice the speed. After 4 hours, the trains were 600 miles apart. How fast was each train traveling?

Write a story problem that can be solved using the equation: 18.64/ 0.5=x


The length of a rectangular bed is 2 feet less than 2 times its width. Find the length of the bed if the perimeter is 32 feet.

A boat travels 24 miles upstream in 3 hours. It takes 3 hours to go 36 miles downstream. What is the speed of the current given that the equations modelling this situation are:



while Michelle sat observing birds at a bird feeder, one forth of the birds flew away when they were startled by a noise.Two birds left the feeder to ggo to another stationed a few feet away. Three more birds flew into the branches of a nearbytree.Four birds remained at the feeder.How many birds were at the feeder initially?

Tina worked 14 hours last week and earned a total of $96 before taxes. Her job as a lifeguard pays $8 per hour, and her job as a cashier pays $6 per hour. How many hours did Tina work at each job.


For a certain experiment, a student requires 100 ml of a solution that is 8% HCI(hydrochloric acid). The store room has only solutions that are 5% HCI AND 15% HCI. How many milliliters of each available solution should be mixed to get 100 ml of 8% HCI.

the manager of farmers delight bought a load of watermelons for $750 and priced the watermelons so that he would make $2 on each melon. when all but 100 of the melons had been sold, he broke even. how many did he originally buy?

a bank teller has 73 bills in $5, $10, $20 denominations. the number of $5 bills is 1 more than 6 times the number of $10 bills. if the total value of the bills is $945, how many bills of each type are there?

The cash flow per share for the trojanland company was $0.18 in 1995 and $4.04 in 2003. Predict the cash flows for the years 2008 and 2010.


Talent show tickets are $3 for adults and $2 for students. Ticket sales of at least $600 are needed to cover the costs. At least 5 times as many students as adults attended. Write a system ot equations to find the number of adult and student tickets that need to be sold. Let x represent the number of adult tickets, and y represent the number of student tickets.

A pipe is cut into two pieces. One piece has a length of inches. If the other piece has a length of inches, what was the total length of the pipe, in inches, before it was cut?

A square mirror has sides measuring 2 feet less than the sides of a square painting. If the difference between their areas is 32 square feet, find the lengths of the sides of the mirror and the painting.

the sum of two numbers is 10 and the sum of their squares is 58. Find the numbers

You are trying to fit your family`s home videos on two 2 hour videotapes. The table lists the lengths in minutes of the video clips. Which clips would you put on each videotape?

You are trying to fit your family\`s home videos on two 2 hour videotapes. The table lists the lengths in minutes of the video clips. Which clips would you put on each videotape?

1 inch longer than twice a number


If matrix A = [ 1 1.5 0.75] [ 0.75 1 1.50 ] represents in thousands the number of Toyota, Honda, and Dodge vehicles sold in January and February by dealer one and matrix B =[ 0.15 0.2 0.2] [ 0.12 0.2 0.3] represents in thousands the numbers of Lexus, Lincoln, and Cadillac vehicles sold by dealer two during January and February, write down the matrix representing the total number of cars sold in January and February. Also, if the sale prices of a Toyota, Honda, Dodge, Cadillac, Lexus, and Lincoln vehicle are $15,000, $16,000, $15,000, $35,000, $45,000, and $35,000, respectively, find which dealer had the higher revenue.

the number of hours in m minutes


An investment of $110,000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the investment was $8280. The interest from the first investment was 2 times the interest from the second. Find the amounts of the three parts of the investment.

A child`s admission sells for 2.00 and an adult sells for 4.00. they sell 200 tickets and raised 650.00 from the event. how many child and adult admissions were sold?

Juan goes to a bank and gets change for a $100 bill consisting of all $10 bills, $5 bills, and $1 bills. There are 34 bills in all. How many of each kind are there?

The lowest point on the African continent is the Qattarah Depression in the Sahara Desert, 436 feet below sea level. The lowest point on the North American continent is Death Valley, California, 282 feet below sea level. Find the difference in these elevations.


A trucking firm has 3 sizes of trucks. The biggest holds 10 tons of gravel, the next size 6 tons, the next 4 tons. There are 15 trucks available to haul 104 tons. Use 2 more of the 10 ton trucks than the 6 ton. How many turcks of each type will be used?

Juan goes to a bank and gets change for a $50 bill consisting of all $5 bills and $1 bills. There are 22 bills in all. How many of each kind are there?

You are making a frame of uniform width for a picture that is to be displayed at the local museum. The picture is 3.25 feet tall and 3 feet wide. The museum has allocated 15 square feet of wall space to display the picture. What should the width of the frame be in order tousle all of the allocated space?


In a fraction,twice the numerator is two more than the denominator.If 3 is added to the numerator and to the denominator,the new fraction is 2/3 .Find the original fraction

Erica hiked up a mountain trail at 3 km/h and back down at 4 km/h. The entire trip took 5 h and 10 min, including the half hour she rested at the top. How long was the trail, one way?


The cost of water use (in dollars) is a linear function of the amount of water used (in hundreds of cubic feet, HCF), as shown in the figure below. The cost for using HCF of water is , and the cost for using HCF is . What is the cost for using HCF of water?

THE perrimeter of a rectangle is 34cm. given that the diagonal is of length 13cm, and that the width is xcm, derive the equation x squared  17x + 60 = 0. hence find the dimensions of the rectangle.

(x2/4)(xyz)+(3xy/8)(x2+2)+(3x2/5)(xyz)+(2xy/3)(x2+y)

(x2/4)(xyz)+(3xy/8)(x2+2)+(3x2/5)(xyz)+(2xy/3)(x2+y) simplify

a baseball is thrown straight up with an initial velocity of 19m/s from a height of 2m above the ground. When is the ball 15m above the ground? 4.9t^2 + 19t + 2 = 15

Katie has $880 in five and twentydollar bills. If she has four more twenties than fives, how many 20dollar bills does she have?

The perimeter of a rectangle is 250 inches. The length exceeds the width by 57 inches. Find the length and the width

Juan goes to the bank to get change for $50 bill consisting of all $5 and $1 bills. There are 22 bills in all. How many of each kind are there?

A company has determined that the profit, in dolalrs, it can expect form the manufacture and sale of x tennis racquets is given by P=0.01x^2+168x120 How many racquets should the company manufacture and sell to earn a profit of $518,000?

Will and Grace share a room. If the monthly rental is P11,50 and Will pays twice as much as Grace, how much does each pay?

A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four lemons and six oranges for $11.16. What is the price of each fruit?

There are two floor plans available, and there are a total of 56 houses available. Use x to represent floor plan #1 and y to represent floor plan #2.

There are two floor plans available, and there are a total of 56 houses available. Use x to represent floor plan #1 and y to represent floor plan #2. You then find out that there are 3 times as many homes available with the second floor plan than the first.

on planet leedo, math 1310 has only 2 tests. In order to get a B, Ivan needs a total of at least 160 points.

a sample from a refuse deposit had 57% of carbon 14 found in a comtemprary living sample. how old was the sample?

In 1998, the population of Country C was 26 million, and the exponential growth rate was 1% per year. Find the exponential growth function.

a number contains 2 digits. the units digits is twice than the ten`s digit. if the number is inverted the new number is 39 more than the original number. find the original number.

earthquakes are measured on the richter scale a log scale which corresponds to stronger earthquakes. Los Angelas has a earthquake of magnitude 4 and tokyo earthquake of 6.5 which is stronger

robert is twice as old as john. three years ago the sum of their ages was 27. find the age of each boy now


the larger of 2 numbers is 5 more than the smaller numbers. the smaller number plus twice the larger number equals 100

a square lawn has an area of 1152 square feet. a sprinkler placed at the center of the lawn sprays a water in a circular pattern that just covers the lawn. what is the radius of the circle?

Samantha charges $27.28 for 14 tacos and 6 burritos and $18.52 for 8 tacos and 6 burritos. Determine the cost of one burrito.

THE KEYBOARD OF A PIANO HAS 7 FULL OCTAVES PLUS 2 EXTRA WHITE KEYS AND 1 EXTRA BLACK KEYS. THERE ARE 36 BLACK KEYS ON A PIANO. HOW MANY BLACK KEYS ARE THERE IN 1 OCTAVE?


A video store sells about 150 DVDs a week at a price of $20 each. The owner estimates that for each $1 decrease in price, about 25 more DVDs will be sold each week.

A total of $560,000 is budgeted for the construction of a roadway. The pavement costs twice the amount of the base material, and the sidewalk costs onefourth the amount of the pavement. Using these figures, how much should each of them cost?

the product of two consecutive integers is 156 . Use the equation n(n+1)=156 to find the integers


Doy and his son can do a job in 4 and a half days. After they have worked for 3 days, Doy got sick, and the son finished the task in 6 more days. How many days each is required to do the entire task?


a bullet was fired horizontally at a speed of 3300ft/sec and the sound was heard after 1.5 second. the speed of sound was 1100ft/sec. find how far is away is the target?

If a vehicle travels a distance of 100 miles at a particular rate, write an expression that describes the amount of time it takes the vehicle to travel that 100 miles

a 60foot pipe is divided into 3 pieces. One piece is twice as long as the shortest piece and the 3rd piece is 4 feet less than 5 times the shortest piece. find the length of the shortest piece


A cheeseburger costs 3 times as much as a soft drink, and an order of fries costs twice as much as a soft drink. If a soft drink costs s cents, express the total cost of a cheeseburger, an order of fries, and a soft drink in terms of s.

A 60 foot pipe is divided into 3 pieces. one piece is twice as long as the shortest piece and the 3rd piece is 4 feet less than 5 times the shortest piece. Find the length of the shortest piece.

A 90meter path surrounds a rectangular garden. The width of the garden is twothirds its length. Find the length l and the width w.

There were 1000 more students at the soccer game than nonstudents. Student tickets were $8.50 and nonstudent tickets were $13.25. If the total revenue for the game was $75,925, then how many tickets of each type were sold?

Suzy is ten years older then Billy,next year she will be twice as old as Billy.How old are they now?

Skip is five years older than Blake. Three years ago Blake was twothirds as old as Skip. How old is Skip?

A group of people go to a play. Adult tickets cost $8 and tickets for the children under twelve years of age cost $5. There are 4 children under twelve. The group spends $44 for all the tickets. How many adults attend the play?

if one half of a number is 5 less than one third of the number, find the number

Deposit $250 in bank account that pays annual interest rate of 2%. How much simple interest would you earn after two years?

Grace Toledo, Owner of Grace`s Apparel Shop, plans to spend $130 for 50 caps, Children`s caps cost $2 each, regular size adult caps cost $3 each and large size adult caps cost $5 each. Grace wants to have ttwice as many children`s caps as regular size adult caps

Plot the points P(1,4), Q(1,1), and R(4,2), on a coordinate plane. Where should the point S be located so that the figure PQRS is a parallelogram?


Spike averaged 45 mph driving from Rochester to Syracuse and 49 mph driving from Syracuse to Albany. If he drove a total of 237 miles in 5 hours, then how far is it from Syracuse to Albany?


quadratic problems and solutions in digits

the difference between two numbers is 16. Three times the larger number is nine times the smaler. What are the numbers?

find three consecutive positive integers such that the product of the first and third, minus the second, is a more than 5 times the third.

The perimeter of a rectangle is 34 cm and the diagonal is 13 cm. Determine the lengths of the sides of the rectangle.

A rectangular piece of cardboard 11 inches by 14 inches is made into a box by cutting identical squares from each corner and folding up the sides. if the bottom of the box turns out to have an area of 80 inches squared what size squares were cut from the corners?

A river has a current of 5 mph. It takes Al half an hour longer to paddle upstream 1.2 miles than to paddle downstream the same distance. What is Al`s rate in still water?

Mike plans on selling tickets to a play he is hosting, he will sell adult tickets for $15.00 and he will sell student tickets for $7.00. Mike would like to make $7000 on the play. How many of each ticket can Mike sell to make his $7000 dollars?

Fill in the missing coefficient of x such that there will be an infinite number of solutions to the system of equations. y = 2x + 4 x = 2y + 8

joey knows a route from 10th and maple to 29th and cedar that is 4/1/2 inches long on his map. the scale of his map is 3/4inch to one mile. which equation could be used to how many long joeys route is

three consecutive integers are such that their sum is 27 decreased by twice the third integer. What are the integers

three consecutive integers are such that their sum is 27 decreased by twice the third integer. What are the integers?

Sarah and Jessica are sisters. Sarah`s height is s inches and Jessica`s height is j inches. Their father wants to know how many inches separate the two.

there are 9c museum in Atlanta Georgia . 9c =63,


There are twice as many girls as boys on a basketball team. The girls average 18 points per game. The boys average 17 points per game. How many members are on the team?

george travels at 45 mi/hr write an expression for the number of miles george travels in h hours

the sum of the squares of two consecutive even integers is 1252. Find the integers.


A picture frame measures 18cm by 20cm. The part of the picture that shows is 120cm2. What is the width of the frame.

two landscapers must mow a rectangular lawn that measures 100 feet by 200 feet. each wants to mow no more than half of the lawn. the first starts by mowing around the outside of the lawn. how wide a strip must the first landscaper mow on each of the four sides in order to mow nor more than half of the lawn?

the sum of two numbers is 18 and the sum of their squares is 4more than 16 times the larger number.

If Troy can mow a lawn in 30 mins and Jake can mow the same lawn in 40 mins. How long does it take them to do the same lawn together?

A bicyle wheel has a 26 inch diameter How far does it travel in one revolution?

Roger can run one mile in 18 minutes. Jeff can run one mile in 16 minutes. If Jess gives Roger a 1 minute head start, how long will it take before Jeff catches up to Roger? How far will each have run?

The perimeter of a triangle is 55 cm. The measure of the shortest side is 8 cm less than the middle side. The measure of the longest side is 1 cm less than the sum of the other two sides. Find the lengths of the sides.

A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $487. The second order was for 6 bushes and 2 trees, and totaled $232. The bills do not list the peritem price. What were the costs of one bush and of one tree?

Gonzalez Manufactoring borrowed $24000. Part of the money was borrowed at 10%, part ast 12%, and part at 14%. The annual interest was $2960, and the total amount borrowed at 10% and 12% was twice the amount borrowed at 14%.

Gonzalez Manufactoring borrowed $24000. Part of the money was borrowed at 10%, part ast 12%, and part at 14%. The annual interest was $2960, and the total amount borrowed at 10% and 12% was twice the amount borrowed at 14%. Find the amount borrowed at each rate.

at a basketball game student tickets are sold for $4.50 each. write an equation that models the income y from the sale of x student tickets.

how can i write 54  n = 24 in a word equation

how can i write 54  n = 24 as a word equation

two numbers have a sum of 20. the second is 2 mores than three times the first. find the numbers

You buy a jacket and the sales tax is 10.25% in the city of Chicago. The total cost if the jacket is $82.68. Find the initial cost of the jacket before the sales tax is applied

Rose cost $3.50/each; Lily Cost $2.50/each. The total of 10 flowers cost $50. How many lilies and how many roses?

I have total of Rs 300 in coins of demonitions Re1, Rs 2, Rs 5. The no. of Rs 2 coins is 3 times the no of Rs 5 coins.Total no. is 160. How many coins of each are with me?

If Sam were to paint a room in 3 hours. her sister could do the job in 5 hours.How long will it takethem together?

area of a painting a rectangular painting with a width of x centimeters has an area of x^2 + 50x square centimeters. Find a binomial that represents the length.

To make a 10 pound mix of M&M`s and peanuts worth $3.50 a pound, how many pounds of peanuts worth $3 per pound should be mixed with M&M`s worth $4 per pound?

the sum of two consecutive check numbers is 357. Find the numbers

suppose that an open box is to be made from a square sheet of cardboard by cutting out 4inch squares from each corner and then folding along the bottom of the cut. If the box is a have a volume of 100 cubic inches find the original dimensions of the sheet of cardboard.

Bob, driving a new Ford, travels 330 miles in the same amount of time it takes John, driving an old Chevy and traveling 10 miles per hour faster, to travel 390 miles. How fast is Bob driving?

The perimeter of a basketball court is 114 meters and the length is 6 meters longer than twice the width. What are the length and width?

the square of a number decreased by 4 times the number equals 21. Find the number.

roger has 2.30 in dimes and nickles. There are 5 more dimes than nickels, find the number of each kind of coin that he has

Bill leaves his house for Makayla`s house riding his bicycle at 8 miles per hour. At the same time, Makayla leaves her house heading toward Bill`s house walking at 3 miles per hour. a. write a system of equations to represent the distance, d, each is from Makayla`s house in h hours. They live 8.25 miles apart. b. solve the system to determine how long they travel before meeting.

Bill leaves his house for Makayla\`s house riding his bicycle at 8 miles per hour. At the same time, Makayla leaves her house heading toward Bill\`s house walking at 3 miles per hour. a. write a system of equations to represent the distance, d, each is from Makayla\`s house in h hours. They live 8.25 miles apart. b. solve the system to determine how long they travel before meeting.

A shipment of tv sets, some weighing 30 kg each and the others weighing 50 kg each, has a total weight of 880kg. If there are 20 tv sets all together, how many weigh 30kg and how many weigh 50?

the attendence at a ball game was 400 people. Student tickets cost $2 and adult tickets cost $3. if $1050was collected in ticket sales how many of each ticket were sold?

A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the width. Material for the base costs 14 dollars per square meter. Material for the sides costs 5 dollars per square meter. Find the cost of materials for the cheapest such container.

At 10 am a car leaves a house at a rate of 60mph. At the same time , another car leaves the same house at a rate of 50mi/h in the opposite direction. Atr what time will the cars be 330 miles apart?

The sum of a the digits of a certain twodigit number is 7 . Reversing its digits increases the number by 9 . What is the number ?


Jane has Y dimes. Express the value of the dimes in cents

A domestic consumer is offered two alternativ methods of paying for her annual water bill. The first option is to make 8 payments of $32 at certain points over the forthcoming year. The second is to have her water metered and pay .08 cents for each cubic meter of water used plus an annual standing charge of $20. What is the maximum amount of water she would have to use ove the year to make it economical for her to choose the second payment method.

the perimeter of a rectangle is 100. the width of the rectangle is 12less than the length. find the length and width

the perimeter of a rectangle is 242. the length exceeds the width by 45 inches . find the length and width


two times three to the third power plus four equals fur thousand three hundred seventy four

twice a number plus its reciprocal equals 3. Find the number.


video membership is $12 per year and it will cost $1.50per video rental. write a linear euation to show the amount of money it cist to rent a video


Juan drives to work. Because of traffic problems, he averages 22 mph. He returns home averaging 32 mph. The total travel time is 2 1/4 hours. Write an expression for the time Juan takes to return home. Write and solve an equation to find the time Juan spends driving to work.

Alvin`s age is three times Elga`s age. The sum of their ages is 68. What is Alvin`s age?

Admission a baseball game is $5.00 for general admission and $7.00 for reserve seats. The receipts were $7348.00 for 1334 paid admission. How many of each ticket were sold. Round to nearst interger if neccessary.

The perimeter of a rectangle is 30cm and its area is 50cm square. Find, in centimetres, the longest side

Find two consecutive even integers such that the sum of the larger and three times the smaller is 234.

The sum of the digits of a twodigit number is 13. The number is 27 more than the number formed by interchanging the tens digit with the ones digit. Find the number.

MaiLee bought a computer for her home office and depreciated it over 5 years using the straightline method. If it`s initial value was $2350, what is its value 3 years later?

A total of 816 tickets were sold for the school play. There were 66 more student tickets sold than adult tickets. How many adult tickets were sold?

A number of students rented a car for $160 for a one weekend trip. if another sudent had joined the original group, each person`s share of expenses would have been reduced by $8. How many students were n he original group?


which equation has a graph you can trace to find the value of x that makes 8 = 2x  6 a true statement? i. y = 2x ii. y = 5x iii. y = 2x  6 iv. y = 2x + 1 v. y = 7


At full speed, a motor boat can travel 24 miles upstream in 4 hours, but it can travel the same distance downstream in 3 hours. In miles per hour, what is the maximum speed of the motorboat in still water?

at full speed, an airplane can travel 2800 miles with the wind in 4 hours. but it requires 7 hours to travel the same distance against the wind in miles per hour what is the maximum speed of the airplane in still air?


The gap in a bridge is 21 millimeters at a temperature of 0 degrees C and decreases by 0.4 millimeters for every 1 degrees increase in temperature. How wide will the gap be if the temperature is 1 degrees C

A rectangle table is three times as long as it is wide. If the area is 108 ft^2, find the length and the width of the table

the sum of three consecutive even numbers is 48. what are the smallest of these numbers? *i dont want the answer i want the equation to solve it

A box contains $28.45 in dimes and quarters. There are 160 coins in all. Write a system of linear equations and solve.

P=15+1/2D now find the depth of a diver when the pressure on the diver is 45 pounds per square inch.


a total of 395 tickets were sold to the school play. there were 55 fewer tickets student tickets sold than adult tickets. How many adult tickets were sold





The sum of two integers is 295,and the larger number is 40 more than 2 times the smaller number.Find the two integers.

Suppose a book cost b dollars. What is the cost of a radio if it costs $8 more than the book? Write an algebraic expression to show how much the radio costs



a 360yd. long pipe is cut into 3 pieces. The first piece of pipe is 5 times as long as the second .

Student tickets at a high school basketball game cost $2.50 each. Adult tickets cost $6.00 each. The ticket sales at the first game of the season total $7000. Write a model that shows the numbers of student and adult tickets that could have been sold. Then graph the model and determine three combinations of student and adult tickets that satisfy the model.

The sum of two numbers is 25. If three times the smaller number is subtracted from twice the larger number, the result is 10. Find the numbers.

Thirty years from now, Jose will be eight times as old as he was 12 years ago. How old is he now?

85  62 = n: taking away one length from another

if I have some candy and give 2 to a friend and buy 6 more,what is the answer?

some cds give 2 away and buy 6 more

three is added to a number and then the sum is multiplied by 4. the result is 16. find the number

jan can do a job in 2 hrs, joe can do the job in 4 hrs how long does it take them to complete the job if they work together

an insurance agent receives a 12% fee on each new policy payment and a 3% fee on each renewal payment. If the agent received $1350 on total payments of $26250, how much were the payments for new policies?

A skydiver in free fall will eventually reach a constant velocity , called terminal velocity. A skydiver reaches terminal velocity of 160 feet per second at an altitude of 3200 feet. Write an equation for the altitude "a" (in feet) of the skydiver as a function of the time "t" in seconds after reaching terminal Velocity.

A repairman purchased several furnaceblower for a total cost of $210. If his cost per motor had been $5 less, he couldhave purchased 1 additional motor. How many motors did he buy at regular rate?

A repairman purchased several furnace blower motors for a total cost of $210. If his cost per motor had been $5 less, he could have purchased 1 additional motor. How many motors did he buy at regular price?

A machine cuts equalsized squares measuring 2 inches on a side from each corner of the sheet, and then shapes the plastic into an open box by turning up the sides. If each box must have a volume of 242 cubic inches, find the length of one side of the open box.


six less than two thirds of a number is negative ten.

Find the coefficient of y^6 in (2x3y^2)^6

if sam can paint a house in 4 hours and jill can paint that same house in 6 hours, how long will it take them to do it together

As a business owner there are many decisions that you need to make on a daily basis, such as ensuring you reach the highest production levels possible with your company’s products. Your company produces two models of bicycles: Model A and Model B. Model A takes 2 hours to assemble, where Model B takes 3 hours to assemble. Model A costs $25 to make per bike where Model B costs $30 to make per bike. If your company has a total of 34 hours and $350 available per day for these two models, how many of each model can be made in a day? * Solve the equations for the different bicycle models that can be made daily with the desired technique learned (graphing, substitution, elimination, matrix). * Explain how to check your solution for both equations.

For their class play, Ron sold student tickets for $2.00 each and Kathy sold adult tickets for $5.50 each. If their total revenue for 29 tickets was $121.00, then how many tickets did Ron sell?

ingrid and tara have a walking race.ingrid has a walking rate of 1.5 meters per second. tara has walking rate of 3 meters per second.ingrid gets head start of 30 meters. write an equation for each girl.


Billy found $3.26 in quarters and pennies. There were 12 more quarters than pennies. How much of each coin did Billy find?

mr. Towne takes loans from two banks. He borrows $300 more from the bank which charges 7% interest than from the bank which charges 8% interest. If his interest payments for one year are $126, how much does he borrow at each rate?


An airplane travels 800 miles in 120 minutes. Find the average speed.

50 MULTIPLIED BY THE QUANTITY DIVIDED BY A NUMBER N IS GREATER THAN OR EQUAL TO 250

26 more than the product of a number and 17 is 42

you and your neighbor are building fences of the same length. each piece of your fence is 60 inches long, and each piece of your neighbor`s fence 45 inches long. the 60 inch fence pieces cost 30 dollar each. the 45 inch long fence pieces cost 22 dolla each. what is the shortest possible fence length that bth of you can build? how many pieces of fence do each of you need for this length of fence? which fence costs less to build?



Barry;s walkie talkie has a range of 2 mi. Barry is traveling on a straight highway and is at mile marker 207. Write and solve an absolutevalue equation to find the minimum and maximum mile marker that Barry`s walkie talkie will reach.

3 times a number plus seven is 8

find the value of the coefficient of 1/x in the expansion (2x  1/x)^5

a tank was being filled with water at the rate of 1.5 gal/min. by 10 a.m., it contained 50 gal. several minutes later, the water going into the tank was turned off, the plug was pulled, and the tank drained at the rate of 2.3 gal/min. the tank was empty at 11:08 a.m. how many minutes did it take to drain the tank?


You have two consecutive even page numbers. One third of the first page number plus 8 more than the second page number is 130. What are the page numbers?

An accountant has money in three accounts that pay 9%, 11%, and 12% in annual interest. He has twice as much invested at (% as he does at 11% and three times as much invested at 12% as he does at 11%. If the total interest from the three accounts is $520 for the year, how much is invested at each rate? Let x=the amount invested at 11%.

An aide in the mathematics department office gets paid $7 per hour for clerical work and $12 per hour for tutoring. If she wants to work a total of 20 hours and earn at least $10, what is the maximum number of hours she can spend on clerical work?

Rudy must play 12 commercials during his 1 our radio show. Each commercial is either 30 sec or 60 sec long. If the total commercial time during that hour is 10 min, how many commercials of each type does Rudy play?

A total of tickets were sold for the school play. There were more student tickets sold than adult tickets. How many student tickets were sold?

student tickets are sold for $4.50 each 10. Write an equation that models the income y from the sale of x student tickets

mrs snail is 72 days old sara is half as old as sandra. sol is 3 days younger than sal and one sixth as old as sigmund. sherry is 12 days older thank sugmund and twice asold as the combined age of sara and sal. the total of all the kids ages combined together is twice mrs. snails age.?

physicians consider an adult`s body temperature to be a normal of it is 98.6 degrees, plus or minus 1 degree. Write anabsolute value inequality that describes this normal temperature range

A kettle full of water is brought to a boil in a room with temperature 20°C. After 15 minutes the temperature of the water has decreased from 100°C to 75°C. Find the temperature after another 8 minutes.

Write an equation that models the income y from the sale of x student tickets...At a basketball game, student tickets are sold for $4.50 each

Shelly is 5 years older than Michele. Four years ago the sum of their ages was 63. Find the age of each person now.

Find an equation of the line that passes through the point and has the indicated slope m. (3,4) and m=2

Al is 3/4 as old as Ann. Six years ago Al was 1/2 as old as Ann. How old is each now?

the dolphin jumps out the water at a show, the function can be modeled by f(x)=16x^2X32x, which the x is the time in second. find out what is the max. height, and how long does it take to reach that height, and how long will the dolphine stay in the air before he went back into the water.


Darren enclosed a rectangular pen against a barn. He used 80m of electric fencing for three sides and left the side next to the barn unfenced. Darren made the Length twice as long as the width. Write a system of equations in two variables that would allow you to determine the length and width for the pen. Indicate what each of the variables of the system represents.

Jim has 8 M&Ms and he wants 14. How many must he add?

Flying with the wind a plane went 183 km/h. Flying into the same wind plane only went 141 km/h. Find the speed of the plane in still air and the speed of the wind.

A FATHER TRAVELS 36 MILES IN 12 HOURS HIS SON COVERS TWICE THE DISTANCE ON A BICYCLE, WAT IS THE AVERAGE THEY BOTH TRAVEL IN 9 HOURS

to estimate animal population, biologists count the total number of animals ina small section of a habitat. The total population of animals is directly proportional to the size of the habitat (in acres) polled. write an equation using only one variable that could be used to solve for the constant of variation K.

warren high has 3000 students and is increasing at 250 students per year. Downey high has 5500 students per year. write linear equations to represent the population of each school and graph.





one more than the difference between 18 and seven times a number is negative 9

Quixote wants to fence in his rectangular garden (see illustration below) and has $16800 to spend. One side (one of the x sides) needs a stronger fence to keep the cows outmaterials will cost $14 per foot for this side. The other three sides can be fenced with less expensive materials at $7 per foot.




What is the largest area that can be covered with 20 meters of fence?

The area in square meters for a triangular sail is given by A=x^2 + 5x + 6. Find A(5) and if the height of the sail is x + 3 meters, then what is the length of the base of the sail?

Chelsea has to line up 48 chairs in 6 equal rows. How many chairs should she put in each row?

You have 2 weeks to read a book for English class. The book you chose has 504 pages. You plan on reading the same amount each day. How many pages should you read each day to finish in 2 weeks? Remember to include a key value for the number of days in a week.

a division equation that compares the number of inches recorded during november 2 inches to the number of inches recorded during february 24 inches

Kristen owes $1200 to her bank. She earns $150 each week. How many weeks will it take Kristen to pay her money?

Shaq shot three times as many baskets as Duane and Duane shot four more baskets than Duncan. If they shot a total of 96 shots, how many did Duncan shoot?

FIVE MORE THAN TWICE A NUMBER IS 13.FIND THE NUMBER

At the latest sporting event on campus, the ticket takers counted 5,412 attendees for a total take of $18,216 in ticket sales. There were 3 children for every 2 adults and there was one senior for every 24 children. If the price per ticket is $4/Adult, $3/Child, and $2/Senior, how many adults, children, and seniors saw the contest?

The number of girls at Sky High School is 60 greater than the number of boys. If there are 1250 students all together, how many girls are there?


a rectangle is 15 feet longer than it is wide and its area is 324 square feet. Find its length and width.


At the book fair, hard cover books cost $7 each and paperback books cost $2 each. Dorothy spent $40 on books at the fair. How many of each type of book did she buy?

at a basketball game student tickets are sold for 4.50 each A)write an equation that shows the income of y from the sale of x student tickets B) How many student tickets must be sold to have 1125 in student sale tickets

A baseball is hit from a height of 1m. It`s height in metres, h, after t seconds is h=4.9t squared +10 +1. What is the maximum height of the ball?


the length of a rectangular field is 24 meters. this is 3 meters less than twice the width. find the width

medium pizza cost $10.95 and large pizza cost $14.95. 50 pizzas sold for total $663.50. How many of each were sold.

Juan goes to a bank and gets change for a $50 bill consisting of all $5 bills and $1 bills. There are 22 bills in all. How many of each kind are there?

A 50 lb. sack of bread flour will make 20 1lb. loaves of bread, and 8 pans of rolls with 120 rolls on each tray. How much does each roll weigh?

Diagonal brace. The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures 6 m. Find the width and height.

Rose is two thirds as old as Johnny, in 5yrs the sum of their ages will be 50yrs. find their present ages.

In eight years, peter will be three times old as he was eight years ago. how old is peter now?

1. a man who is 42yrs old has a son of 12yrs old. in how many years will the father be twice as old as his son? 2. Mr. Santos, working as a salesman for a firm, gets a salary of 5000 per month plus a commission of 10% on all sales above 2000000 per month. his total gross pay last month was 21000. how much was his total sale last month? 3. Train A leaves a station 1/2 hour ahead of Train B. The trains travel on parallel tracks. Train A travels at 25km/h while train B travels at 25km/h , how many hours will it take Train B to overtake Train A? 4. Mark can finish task alone in 24days while Andrei can do the same task in 18days. If they work together, how long can they finish the task? 5. A variety of candies costing $10.50 per kg is mixed with another variety costing $15 per kg, to make a mixture of 12kg that would cost $12.50 per kg. how many kg of each variety were mixed? 6. Three hundred people attended a band concert. Reserved seat tickets were sold at $100 each while general admission tickets cost $60 each. If the sales totaled $26000, how many tickets of each type were sold? 7. Grace found some coins under her pillows. There were equal numbers of one peso coins and five peso coins. the number of twentyfive centavo coins was twice that of one peso coins. If the total value of the coins was P39 how many of each denomination did she find? 8. When Professor Recalde drives his car to school, the trip takes one hour. When he takes an FX cab, the trip takes 1 hour and 15 minutes. The speed of FX cab is 10 kilometers per hour less than Professor Recalde`s speed when driving. Find the distance that he travels to school.

Lindsay is twice as old as she was 10 years ago. Asi is half as old as she will be in 10 years. What is lindsay and ali age now?

three concsecutive positive even intengers such that the sum of the squres of the first and second integers is equal to the square of the third integer plus 48

an electrician works trice as fast as his apprentice. together they can complete a rewiring job in 3 hours. how long would it take each of them alone?

the sum of three numbers is 163. The second number is twice the first, and the third is 15 more than the first. Find the numbers.

Suppose the length of a certain triangle is 5 cm more than two times its width. If the area of the rectangle is 56 cm squared, find its length and width

the length ofa rectangular field is 6 less than twice the width. the perimeter is 312 meters. what is the length

Bob fenced in a rectangular garden in his yard. The length of the rectangle is 6 feet longer than the width and the perimeter is 96 feet. What is the width of the rectangle?

A bathtub can be filled by cold water faucet in 10 minutes and by hot water faucet in 12 minutes how long does it take to fill the tub if both faucet are open?

A total of tickets were sold for the school play. The number of student tickets sold was two times the number of adult tickets sold . How many adult tickets were sold?

the sum of two numbers is 47. The sum of the larger number and twice the smaller number is 64.find the numbers.

2x3y+z=1 2xy+2z=6 5x4y+3z=6

a class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses.Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.

find two consecutive even integers such that the sum of the smaller and 5 times the larger is202

a two digit number is 3 times the sum of its digits. The number is also 45 less than the number formed by reversing the digits. find the number

Caleb had 90 pencils and pens. After giving away 1/3 of his pencils and 10 pens, he had an equal number of pencils and pens left. How many pencils did he have in the begining?

a book club charges a one time membership fee of $15 plus $22 per book. Write an expression that represents the amount a customer spends for b books

two friends ar renting an apartment. They pay the landlord the first month`s rent. The landlord also requires half of a moth`s rent for a security deposit. the total amount they pay is $1725. What is the montly rent?

In a family there are two cars. In a given week, the first car gets an average of 20 miles per gallon, and the second car gets 25 miles per gallon. The two cars combined drive a total of 1225 miles in that week, for a total gas consumption of gallons. How many gallons were consumed by each of the two cars that week?

we have to find the maximum number of pieces for each number of certain slices


Malcolm is twice as old as sundeep. the sum of their afes is 39



it took kathy and her helper 24 minutes to feed 18 cats. Working at the same rate, how long should it take Kathy and 2 helpers to feed 18 cats.

Can you write on equation that can be used to find the temperature t based on the depth in the lake d?

four times the lesser of two consecutive even integers is 12 less than twice the greater number. find the integers.

the difference of two integers is 4 and the sum of their reciprocals 4/15. Find the two integers.

The height of a Blue hot air balloon is 10 meters above the ground rising at a rate of 15 meters per minute. Another balloon is 150 meters above the ground descending at a rate of 20 meters per minute. After how long will the balloons be at the same height?

The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers?

A 240in pipe is cut into two pieces. one piece is three times the length of the other find the length of the pieces

find the largest of two consecutive even integers such that three times the larger added to the small is 54.

what is the average speed of a car traveling 234 miles over 5 hours

what is the average speed of a car traveling 234 miles over 5 hours?

two inches shorter than kathryn`s height

two inches shorter than kathryns height

Five less than four times a number is nine more than twice the number. What is the number?

I am taking a pre calculus class after being away from math for 25 plus years. I do not understand x intercept or y intercept. can you explain what it means if i say xintercept 3 and yintercept 5.

Fred is two years older than her brother. Twelve years ago she was twice as old as he was. How old are they now?

john uses 114 feet of fencing to enclose a field whose length is 21 feet longer than its width. what are the two numbers?

the cost to rent a machine is $25 per day plus a $20 deposit


Tickets for the school play sold at $2 each for adults and .75 cents for students. if there were four times as many adult tickets sold as student tickets, and the total receipts were $1750, how many adult and how many student tickets were sold?

5 times a number, decreased by 15




At a family reunion three cousins were comparing their ages. Jennifer is 17 years younger than Rene and Rene is 10 years older than Melissa. Their ages total 60 years. How old is Rene?


April buys 8 books for $44. paperback books cost $4 and hardback books cost $8.

in the us house of representatives there are 435 members. if an appropriations bill passes the house with 85 more members voting in favor than against . how many voter in favor and how many voter against

a rock dropped into a pond sends out a circular ripple whos radius increases steadily at 6 cm a second. a boat is floating on the pond 2 meters east and 1 meter north of the spot where the rock is dropped how long does it take for the ripple to reach the boat?


nine days ago the area covered bymold on a peice of breadwas 3 square inches.today the mold covers 9 square inches.find the rate of change in the molds area

nine days ago the area covered by mold on a peice of bread was 3 square inches.today the mold covers 9 square inches.find the rate of change in the molds area

A total of 384 tickets were sold for the school play. The number of student tickets sold was three times the number of adult tickets sold . How many adult tickets were sold?

California oil has 6 pounds of impurities per barrel. texas oil has only 2 pounds of impuities per barrel. the most the refinery can handle is 120,000 pounds of impurities a month

A rectangular field has a perimteter of 300 feet and the length is 50 feet longer than the width. What is the length of the field?

The difference of two numbers is 2 and the difference of their squares is 20. Find the numbers.

each pail of plaster covers 81 square feet of ceiling. How many pails are needed to cover the ceiling of a square room with walls 25 feet long?

jim has 2000 kg of cocaine. He wants to dilute 10% for distribution on the streets. How much filler must he use?

the rectangular picture frame is to be 8 inchs longer than it is wide. Dennis uses 84 in. of oak to frame the picture. What is the width of the frame

Dempsey Candy company wants to make a new mixture. How many pounds of nut mix worth $8 per pound should be added to 20 pounds of chocolate drops worth $5 per pound to get a mixture worth $6 per pound?

solve systems of equations in three variables 2xy+2z=15 x+y+z=3 3xy+2z=18


Suppose that your family is going to buy a new air conditioning unit. One brand costs $1800 to buy, and $60 a month to operate. A more expensive brand costs $2600 to buy. But it is more efficient, and costs only $50 a month to operate. Solve the system of equatoins to find the "breakeven" point.



The perimeter of a rectangle is 204 inches. The length exceeds the width by 42 inches. Find the length and the width.

Bob, driving a new Ford, travels 330 miles in the same amount of time it takes John, driving an old Chevy and traveling 10 miles per hour faster, to travel 390 miles. How fast is John driving?

the sum of the digits of a twodigit number is 8. The value of the number is 2 less than 11 times the tens digit. Find the number


Find the length of the side of a cubic boxwhose volume is 80 cubic feet.

A slice of thickness Icm is cut off from one side of a cube. If the volume of the remaining figure is 180 cm3, how long is the edge of the original cube?

Write the equation of a line in slope intercept form: 3x+2y=6

It takes Brent 1 hour longer than Calvin to shuck a sack of oysters. If together they shuck a sack of oysters in 45 minutes, then how long would it take each one working alone

than Calvin to shuck a sack of oysters. If together they shuck a sack of oysters in 45 minutes, then how long would it take each one working alone?

On the half shell. It takes Brent 1 hour longer than Calvin to shuck a sack of oysters. If together they shuck a sack of oysters in 45 minutes, then how long would it take each one working alone?

I have a radical equation that I can`t figure out. The written form is confusing to on how to approach. I have all the substituted values but can`t come up with a good answer. It`s as follows: P = 1000 √ 1 + 2000 can you please help me in solving this word problem?

I have a radical equation that I can\`t figure out. The written form is confusing to on how to approach. I have all the substituted values but can\`t come up with a good answer. It\`s as follows: P = 1000 √ 1 + 2000 can you please help me in solving this word problem?

the perimeter of a rectangle floor is 90 feet.find the demansions of the floor if the lengh is twice the width

The sum of the page numbers on facing pages of a book is 157; what are the page numbers?

the greater of two number is 4 less than thrice the smaller nuber, and their sum is 32. find the numbers.


jake ar A,and he was tolk in the town in 290 m/hr as b.find the number

jack is twice as old as lacy. in 3 years the sum of their ages will be 54. How old are they now?

Les Moore has $100 and adds $5 per week. Lotta Spences has $300, but she spends $10 per week. Write an equation for wehn they both have the same amount of money.

the half life of carbon 14 is 5700 years and approximately 0.9957287 of the original amount remains. use logs to express how old your math teacher is?


two drinks cost you $4.50. one drink was half the price of the other. find the price of each drink

During 60 miles of city driving

A total of 378 tickets were sold for the school play. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?

The sales representative later indicates that there are 3 times as many homes available with the second floor plan than the first. Write an equation that illutrates this situation.

You are making mosaic tiles from three types of stained glass. You need 6 square feet of glass for the project and you want there to be as much iridescent glass as red and blue glass combined. The cost of the sheet of glass having an area of 0.75 square foot is $6.50 for iridescent, $4.50 for red, and $5.50 for blue. How many sheets of each type should you purchase if you plan to spend $45 on the project? Let x=number of sheets of iridescent glass; y=number of sheets of red glass; z=number of sheets of blue glass

a rectangular lawn measures 7m by 5m. A uniform border of flowers is to be planted along to adjacent sides of the lawn, as shown in the diagram. If the flowers that have been purchased will cover an area of 6.25 m squared, how wide is the border?

Find two numbers whose sum is 44 and such that one is 3 times as large as the other.


sum of two consecutive even integers is 1252.

the sum of two numbers and it`s square is 72. find the numbers

Today, John`s mom is 5 times as old as he is. In 7 years she will only be 3 times as old. What is John`s age today?

A farmer raises wheat and soybeans on 215 acres. If she wants to plant 31 more acres in wheat than in soybeans, how many acres should she plant?

A pharmacist is to prepare 15 militers of special eye drops for a glaucoma patient. The eyedrop solution must have a 2% active ingredient, but the pharmamcis only has 10% solution and 1% solution in stock. How much of each type of solution should be used to full the prescription?

Farmer John is buying cows for $10, pigs for $3, and chickens for .50 cents. He has $100 to spend and needs 100 animals. He needs at least one of each animal. How many of each animal did he buy?

Helped by a strong jet stream, a LaBoston plane flew 10% faster than usual and made the 4400 trip in 30 minutes less time than usual. At what speed does the plane usually fly?

4th root of 3 times the 4th root of 3

for each patio material option write a simplied algreric expression for the total cost of insalling the patio

Our printer can print the paychecks for the employees of a company in 80 min. A second printer can print the checks in 120 min. How lond would it take to print the checks with both printers operating?

4x+2y2z=10 2x+8y+4z=32 30x+12y4z=24

the intake pipe can fill a certain tank in 6 h when the outlet pipe is closed, but with the outlet pipe open it takes 9 h. how long would it take the outlet pipe to empty a full tank?

At the school fair hamburgers cost $4.50 and nachos cost $3.00. If the vendor sold 37 food tickets for a total of $129, then how many of each food item was sold?


in triangle abc the measure of angle b is three times that of angle a. the measure of angle c is 20 degrees more than that of angle a. find angle abc

The sum of two numbers is 56. Their numbers is 18.Find the numbers.

Moe, Curly and Larry are painters. In one day, Moe can paint 3 times as much square footage as Curly, and Larry can paint 5 more square feet than Curly. In two days the three men working together painted a room with 1000 square feet of wall space. If just Moe and Curly work together, can they paint a wall space of 1189 square feet in 3 days?

family received 19 pieces of mail, consisting of magazines, bills, letters, and ads. If the received the same number of magazines as letters, three more bills than letters, and five more ads than bills, how many magazines did they receive?

a 36foot pipe is divided into three pieces. One piece is twice as long as the shortest piece and the thrid piece is1 foot longer than four times the shortest piece. find the lenght of the shortest piece

Anne has two places she could work at over the summer. She could work at McDonalds and Macy`s but only a few hours at each. She can`t work over 20 hours a week, and she wants to make $200 every week. She gets paid $10 an hour at McDonalds and $15 dollars an hour at Macy`s.

A group of office workers plans to share equally the $100 cost of giving a baby shower for a coworker. If they can get six more people to share the cost then the cost per person will decrease by $15. How many people are in the original group?

two people earned $2300 together. One earned $500 more than the other. how much did each earn?

two times the difference of a number decreased by five is fourteen. What is the number

a piggy bank contains $6.35 in quarters and dimes. if there are 38 coins in total, how many nickels are there?

there were 400 trees sold at the tree farm in 1 day. The large trees are $25 and the small trees are $15. If the total profit was $8850, how many of each type of tree were sold?

Mr. Murphy rode his bike for 3 hours on Saturday and 1 hour on Sunday. If his average speed each day was 15 mph, what distance did he travel altogether?

An adult ticket to the school play costs $4.50 and a student ticket costs $3.00. what would be the total cost of 8 adlt and 12 student tickets?

How long does it take to unload 8063 aTEU


# An object is launched at 19.6 meters per second (m/s) from a 58.8meter tall platform. The equation for the object`s height s at time t seconds after launch is s(t) = –4.9t2 + 19.6t + 58.8, where s is in meters. When does the object strike the ground?

what number must be added to both the numerator and the denominator of the fraction 1/3 to get the fraction 7/8

A balloon is rising from the ground (#457) A balloon is rising from the ground at 4 feet per second. Another balloon is at 756 feet and descending at 3 feet per ...

Use the formula M=log(A/Ao), where the magnitude of an earthquake on the Richter scaleis based on A, the measurement of a seismic wave, And Ao, the measurement of a seismic wave of a level zero earthquake with the same epicenter. An earthquake was recorded which was 7,93,282 times more powerful than a reference level zero earthquake. What is the magnitude of this earthquake?

Jamie drove to visit her parents who live 70 miles away. On her way there, her average speed was 24 miles per hour faster than on her way home (she ran into some bad weather). If Jamie spent a total of 2 hours driving, find the two rates.

Pump A can unload the Lunar Petro in 30h and pump B can unload it in 24h. Working together, how long to empty the ship?

The river boat Delta Duchess paddled upstream at 12 km/h, stopped for 2 h of sightseeing, and paddled back at 18 km/h. How far upstream did the boat travel if the total time for the trip, including the stop, was 7 h?

The mean distance of the earth from the sun is 93 million miles the distance varies by 1.6 million miles find the range of distances of the earth from the sun?

suppose that an object is 100pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 mile from the center of the earth.)


One canned drink is 15% orange juice; another is 5% orange juice. How many liters of each should be mixed together in order to get 10L that is 11% orange juice?

The sum of two numbers is 35. Three times the larger number is the same as four times the smaller number. Find the larger number.

Ahmed has the first half of a treasure map, which inducastes that the treasure is buried in the desert (2x+4) paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must go to Castle Rock, walk `x` paces to the North, and then walk (2x+4) paces to the East. If they share their information, then they can find `x` and save a lot of digging. What is `x`?




a tugboat can travel 8 mph in still water.going against a current it spends 1 hour and 20 minutes more than going the same distance of 8 miles with the current.find the rate of the current.

130 individual slippers were made. Twice as many slippers were made for bats than cats. how many slippers were mabe for bats?

The tens digit of a two digit positive number is 2 more than three times the unit`s digit. If the digits are interchanged, the new number is 13 less than half the given number. Find the given integer

The sum of two numbers is 92. Their difference is 20. Find the numbers.

If A change machine contains nickels, dimes and quarters. There are 75 coins in the machine. The value of the coins is $7.25. There are five times as many nickels as dimes. Find the number of coins of each type in the machine.

A long distance phone company has a monthly fee of $7.95 and charges a rate of $0.05 per minute. Another long distance company has a monthly fee of $9.95 and charges a rate of $0.03 per minute. At how many minutes would the two companies have equal charges?

The volume of a sphere is equal to 4/3 of π times the cube of the radius r. Complete the formula V=

A rectangular storage container with an open top is to have a volume of 40 cubic meters. The length of its base is twice the width. Material for the base costs 40 dollars per square meter. Material for the sides costs 4 dollars per square meter. Find the cost of materials for the cheapest such conta

in a chemistry experiment,student kept track of the temperature of a solution as it heated over a period of time. this is the data.time(minutes) 5 , 15 25, 30 , 32 .. and temperature (F) 77 , 127, 177, 202, 212

myrtle invested 420,000 for 1 year part at 5% and part at 8%. how much was invested at 8% if the same ammount of interest was recieved from each ammount

A rectangular storage container with an open top is to have a volume of 50 cubic meters. The length of its base is twice the width. Material for the base costs 50 dollars per square meter. Material for the sides costs 4 dollars per square meter. Find the cost of materials for the cheapest such container.

A pet store recieves a shipment of pet foods at the beginning of each month. Over a three month period, the store recieved 1770 pounds of dog food, 1165 pounds of cat food, and 365 pounds of bird seed. Write and solve a system of equations to find the number of pounds of pet food in each of the three shipments. 1st shipment 60% of dog food, 25% of cat food, 15% of bird seed. 2nd shipment 50% dog food, 35% cat food, 15% bird seed. 3rd shipment 50% dog food, 45% cat food, and 5% bird seed.

Shelly has 2 times more dimes than nickels and she has $3.50 how many nickels does she have?

Rudy must play 12 commercials during his 1hr radio show. Each commercial is either 30 sec or 60 sec long. If the total commercial time during that hour is 10 min, how many commercials of each type doe Rudy play?

A total of 548 tickets were sold for the school play. The number of student tickets sold was three times the number of adult tickets sold . How many adult tickets were sold?

The centre of the smallest circle passing through origin lies on the line XY+1=0 then find the coordinates of its centre.

Mindy received 20 pear trees and 10 apple trees for $450. A week later she bought 30 pear tears and 20 apple trees for $700. How much did Mindy pay for each type of tree?

Total revenues from sales of recorded R&B and pop music amounted to $8.4 billion. R&B music brought in five times as much revenue as pop music. How much revenue was earned in each category of recorded music?

A rectangular storage container with an open top is to have a volume of 10 cubic meters. The length of its base is twice the width. Material for the base costs 10 dollars per square meter. Material for the sides costs 8 dollars per square meter. Find the cost of materials for the cheapest such container. A rectangular storage container with an open top is to have a volume of 10 cubic meters. The length of its base is twice the width. Material for the base costs 10 dollars per square meter. Material for the sides costs 8 dollars per square meter. Find the cost of materials for the cheapest such container.



cary spent 1/3 of his class working on fraction problems and 3/6 of his class working on algebra problems. He spent the last 10 minutes of his class reading a chapter in his textbook. How many minutes long was the entire class?

Jan wants to buy maps for her trip. The maps cost $2 each and she has $25. MAke a table and write an equattion to represent the amopunt she will have left if she buys m maps.

literal eqations acording to the volume of a basketball


on calm lake phil can paddle his canoe at a speed of 10km/h. when he enters the river that feeds the lake and paddles against the current, his lakespeed is reduced by the speed of the river. when he turns around and returns with the current back to the lake, his lake speed is increased by the speed of the river. What is the speed of the river if 24 km trip upstream and back (another 24 km) takes 5 hours?

A rectangular storage container with an open top is to have a volume of 30 cubic meters. The length of its base is twice the width. Material for the base costs 30 dollars per square meter. Material for the sides costs 2 dollars per square meter. Find the cost of materials for the cheapest such container.

If the length of a rectangular field is 24meters. This is 3meters less than twice the width. Find the width.

A 36 foot pipe is divided into three pieces. One piece is twice as long as the shortest piece, and the third piece is 1 foot longer than four times the shortest piece. find the length of the shortest piece

x+y=15 if 3 times x =5y minus 11 what are x and y

the perimeter of a standerd rectangular rug is 32ft.The lenght is 2ft longer than the width.Fimd the dimension



The area of jenny’s garden is onetwelfth the area of her entire yard. The area of the garden is 10 square feet. Find the area of the yard.

beth has saved $4500. she would like to earn $250 per year by investing her money. One investtment earns 5% annually ( lower risk) and the other 9% (higher risk). How can she divide her money to reach her goaL?

A rectangular storage container with an open top is to have a volume of 20 cubic meters. The length of its base is twice the width. Material for the base costs 20 dollars per square meter. Material for the sides costs 4 dollars per square meter. Find the cost of materials for the cheapest such container.



Team A and team B have 20 players each.Team A has 7 girls.Team B has twice as many girls as team B has.On both teams,how many players are girls?How many players are boys?

Elvin drove halfway from Ashton to Dover at 40 mi/h and the rest of the way at 60 mi/h. What was his average speed for the whole trip?

calvins home is located at the midpoint between fast pizza and pizza now fast pizza ia a quater mile away from calvins home how far away is pizza now from calvins home? how far apart are the two pizzerias

Gloria is planning to ride her bicycle near the transmitter of a radio station. She will be riding from a point 10 miles due east of the transmitter, and will ride to a point 35 miles west and 7 miles north of the transmitter. She has a radio on her bicycle which can pick up the station as long as she is within 10 miles of it. If she rides at a constant speed of 16 miles per hour, for what length of time during her ride will she be able to listen to the radio station?

how to solve worded equations for linear equlitias

find the length of a rectangle with a perimeter of 114 meters if the length is 7 meters more than the width?

The midpoint of segment AB is (4,3). If A is the point (1, 4) find the coordinants of B.

two sides of a triangle are equal. each of the two equal sides is 5 in more than the third side. the perimeter is 35 in. find the length of each side?


Write a word problem for the equation x over 2 = 87

Joe is selling mix tapes for $54 each.He has a sale for 20% if you buy on Friday at no later than 12:00 noon.Martin buys 10 mix tapes at 12:00 and 3 others on Saturday.How much does the whole unit cost.What is his change if he had $300.

onehalf of a no. decrease by one third of the no. is 9. find the no.

Last month, a bookstore ran the following ad. Calculator Specials, scientific models $12 and graphing models $19 each. Sales of 5,370 were generated, with 15 more graphing calculators. How many of each type of calculator did the bookstore sell?


An environmental group estimates that the amount of pollution in a pond will decrease by 10% each month. To determine the concentration C, of pollutants (in parts per million) after (m) months, the group uses the functionn C(m)=23(0.95)^m . (1) to the nearest tenth, what will be the concentration of pollutants in the pond in 5 years? (2) What was the initial concentration of pollutants in the pond?


how does linear equations work in the real world

word problems of linear equation



if there was 20 people and each bus holded 60 people then how many buses do you need


juice box measures 6.4cm x 3.8cm x10.3 cm the contents is to be increased by twice as much. What will the new dimensions of the juice box be?

we have differential problem . please help us

Suppose that a market research company finds that at a price of p=$20, they would sell x=42 tiles each month. If they lower the price to p=$10, then more people would purchase the tile, and they can expect to sell x=52 tiles in a month`s time. Find the equation of the line for the demand equation. Write your answer in the form p=mx+b. (hint: write an equation using two points in the form (x, p)

an airline baggage truck can hold 95 pieces of baggage in two seperate compartments. in one trip from the airplane to the terminal, the truck is filled to capacity. one compartment is holding 14 more than twice the other. how many pieces of baggage are in each compartment of the truck

In a basketball game, Will scored 26 points, consisting only of threepoint shots and twopoint shots. He made a total of 11 shots. How many shots of each type did he make?

lydia is twice older than his daughter what is the age of lydia after three years?

if a number is added to its square the result is 42. find the number?

the park is twice as long as it is wide.its length is 3om.find the area of the park.

If the same length is cut off at three pieces of wood measuring 21cm, 42cm and 45cm, the three pieces of wood (not the cut offs) can be assembled into a right triangle. Determine the length that should be cut off each piece.

one number is four times another. their sum is 35. find the numbers

santo is whitewater rafting. the entire trip is 150 miles and santo travels an average of 15 miles each day

A plane flying the 3020mile trip from City A to City B has a 60mph tailwind. The flight`s point of no return is the point at which the flight time required to return to City A is the same as the time required to continue to City B. If the speed of the plane in still air is 430 mph, how far from City A is the point of no return? Round your answer to the nearest mile

A plane flying the 3020mile trip from City A to City B has a 60mph tailwind. The flight\`s point of no return is the point at which the flight time required to return to City A is the same as the time required to continue to City B. If the speed of the plane in still air is 430 mph, how far from City A is the point of no return? Round your answer to the nearest mile

A rectangle is 4/3 as long as it is wide. A second rectangle is 4 meters longer and 2 meters wider than the first, and its area is twice that of the first. Find the dimensions of the rectangles.

To raise $1,000, the members of the Nice People Club pledged to chip in equal amounts. However, five of the Nice People did not contribute, so to make the $1,000 the rest of the members had to pay a extra $10 each. How much did each paying member contribute?

karlita is preparing a special dinner for her parents. she is making mango flavored catfish.she has to go to the supermarket to buy the fish and mangos. the mangos were $1.50 per pound, and the fish was $3.50 per pound. how much fish and mangos did she buy if she spent $25.00?

Five times the square of a number is 980. Find the Number.

The coin container on a bus has 10 more nickels than dimes and together the nickels and dimes are worth $3.50. How many nickels and dimes are in the container?

the sum of two numbers is 18. If twice the smaller number is 6 more than the larger, find the two numbers.

Five sisters are going to clean their playroom. Alice is the oldest, so she works the fastest. Beth would take twice as long as Alice to clean the room herself. Cathy would take twice as long as Beth. Daria would take two days longer than Cathy, and Elaine would take 4 time as long as Daria. Together, the five girls can clean the room in one day. How long would it take each girl by herself?

A community center sells a total of 301 tickets for a basketball game. An adult ticket costs $3. A student ticket costs $1. The sponsors collect $487 in ticket sales.Find the number of each type of ticket sold.


A plane flies 400 miles with wind and 300 miles against the wind in the same length of time. If the speed of the wind is 22 mph, what is the speed of the plane in still air?

List all possible rational zeros of f(x)=3x^33x^2+x+2 given by the rational zeros theorem. Be sure that no value in your list appears more than once.

The ratio of the distances a 7iron and 5iron will drive a golf ball is 5 to 6.. If a golfer averages 171 yards with a 7iron, how far should he average with a 5iron?

find a trinomial for the area of the rectangular rug shown below whose sides are x+5 feet and 2x3 feet.

The measure of the largest angle of a triangel is 12 less than the sum of the measures of the other two. The smallest angle measures 58 less than the largest. Find the measure of the angles.

Stan loaded his truck in 24 min. If Chris helps him, it takes 15 min to load the truck. How long does it take Chris alone?


find two consecutive positive even integers such that the square of the lager is 80 less than 24 times the smaller


A school play had attendance of 216 people with admission profit of $511.50. They charge $3 for adults and $1,5 for students. What is the number of adults and students that attended the play?

Solve the literal equation s=Vot16t^2 for Vo.

A school play had a attendance of 216 people. The profit was 511.50 and they charged $3 for adults and $1.50 for students. What is the number of adults and students that attended the play?

a magazine subscription service sold 6,2620 subscriptions in February and 14,211 subscriptions in June. a. Assuming the number of subscriptions S in terms of the month M. (Hint: Let the month of January be 1. Set the rest of the month values based on the starting point.) b. Based on your equation in part a, how many subscriptions did they sell in May?

A car loses 15 percent to 20 percent of its value each year. a 2 year old car will be worth 80 to 85 percent of its 1year old value. A 3 year old car will be worth roughly 80 to 85 percent of its 2 yearold value. Let`s say you have a 1 year old used car worth $12,000 that loses 15 percent of its value each year. At 2 years old, the cae would be worth $10,200. At 3 years old, it would be worth $8,670. According to this description, is the relationship between car value and the car age linear? How do you know? Find a linear equation to model this situation if the data is linear.

Find the point on the line y = x closest to the point (3, 0).

The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?

a discount pass for a bridge is $30 per month. Normal toll is $5, but is reduced to $3.50 for someone who purchased a discount pass. Determine number of times the bridge must be crossed so that the total monthly cost without a discount pass is the same as with a discount pass?

Suppose that 139 ft of fencing are used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle as the following figure

To Pay your monthly bills, you can either open a checking account or use an online banking service. A local nak charges $3 per month and $0.40 per check, while and online service charges a flat fee of $9 per month. Write and graph a system of linear equations to model the cost(c) of each service for bills(b) that you need to pay monthly.


Michael buys two bags of chips an three boxes of pretzels for $5.13. He then buys another bag of chips and two more boxes of pretzels for $3.09. Find the cost of each bag of chips and each box of pretzels?

A rectangular storage container with an open top is to have a volume of 30 cubic meters. The length of its base is twice the width. Material for the base costs 30 dollars per square meter. Material for the sides costs 3 dollars per square meter. Find the cost of materials for the cheapest such container.

what number can be added to both the numerator and the denominator of 17/ 25 to form a fraction equal to 5/7


what is the measure of line AC if A is the midpoint of line BC: 3x / 6 2x / 14 A. 60 .______________.______________. B. 8 B A C C. 30 D. 15 Use algebra to find measures.

find the minimum product of two numbers whose difference is 9


You are driving at a speed of 55 miles per hour to your sisters house. At 1 p.m you are 150 miles from her house. Write an equation that models the distance from your sister`s house in terms of the number of hours since 1 p.m

jay worked for 3.5 hours and packed 91 cartons. craig packed 126 cartons in 5.25hours.who worked at the faster rate

Trent can mow the grass in 2 hours and his brother Tanner takes 3.5 hours to mow it. How long will it take if both of them work together?

suppose that your family is going to buy a new air conditioning unit. One brand costs $1800 to buy and $60 a month to operate. A more expensive brand costs $2600 to buy,but it is more efficent, and costs $50 a month to operate. Find the number of months for which the total cost of either unit would be the same.


Your student loans total $12,000. The Sallie Mae loan jas a 6% simole interest and the Stafford loan has 9%. After one year, you owe $855 in interest. What is the amount of each loan?

The perimeter is 204 feet and the length is 2 feet less than three times the width. What are the dimensions?

Bill`s train leaves at 8:06 AM and accelerates at the rate of 2 meters per second per second.Bill who can rub 5 meters per second, arrives at the train station 5 seconds after the train has left. (a) Find parametric equations that describe the motion of the train and Bill as a function of time. (b) Determine algebraically whether Bill will catch the train.

At a water pollution control facility one pipe can fill a tank in 4 hours. Combined with another pipe the tank can be filled in 2 hours, 24 minutes. How many hours would it take the second pipe to fill the tank by itself?

the polynomial 0.041h0.018A2.69 can be used to estimate the lung capacity,in liters,of a female with height h cm and age A years.find the lung capacity of a 50 year old woman who is 175 cm tall.round to the nearest liter.

For 1990 through 1992, the number of banks in the US can be modeled by K = 1,228,230 + 36,590t^2  100 + 4.66t^2 where K is the number of banks and t is the year, t=0 corresponding to 1990. For 1990 through 1992, the number of branches in the US can be modeled by R = 505,430 + 9661t^2  10 + 0.128t^2 where R is the number of branches and t is the year, with t=0 corresponding to 1990.

The sum of two positive integers is 80. Find the integers if one number is 8 greater than the other.

The population of Mudflatt is 64000 and it is increasing by 1,800 per year. The population of Reefwater is 70,000 and it is decreased by 1,000 per year, How long will it take for Mudflatt to have double the population of reefwater

pops cycle shop sells bicycles and tricycles. the number of bicycles is 1 less than 5 times the number of tricycles. all the bicycles and tricycles together have a total of 154 wheels. how many bicycles are there? how many tricycles are there?

Tickets for a school play cost $4 for adults and $3 dollars for children. A total of 390 tickets are sold, totalling $1380. How many adult tickets and how many children tickets were sold?

A rectangular storage container with an open top is to have a volume of 50 cubic meters. The length of its base is twice the width. Material for the base costs 50 dollars per square meter. Material for the sides costs 3 dollars per square meter. Find the cost of materials for the cheapest such container.

your local cable company offers two plans:basic service with one movie channel for $35 per month or basic service with two movies channels for $45 per month. what is the charge for the basic service and the charge for each movie channel?


A rectangular painting with a width of x centimeters has an area of x2 50x square centimeters. Find a binomial that represents the length. See the accompanying figure.

a famer want to bulid fece to enclose an area 8 meter long by 7 meter wide.how many meter of fencing she need

a rectangle is 1.5 times as long as it is wide. The perimeter of the rectangle is 75 inches. Find the width of the rectangle



Kelly bought a bike and a year later sold it for 30% less than what she paid for it. If she sold the bike for $126, what did she pay for it?

The perimeter of a rectangle is 160ft. One fourth the length is the same as twice the width. Find the Length and the width

write an equation comparing the temperature on two days:58 on monday and 62 on tuesday

kristin spent $131 on shirts. fancy shirts cost $28 and plain shirts cos t$15. if she bought a total of 7 the how many of each kind did she buy?

the formula A= 6s square will calculate the surface area of a cube. Suppose you have a cube that has a surface area of 216 in square. what is the length of each side?

a comercial jet airplane climbs at takeoff with slope m=3/8. how far in the horizontal direction will the airplane fly to reach an altitude of 12,000 feet above takeoff point?

A rectangular storage container with an open top is to have a volume of 60 cubic meters. The length of its base is twice the width. Material for the base costs 60 dollars per square meter. Material for the sides costs 4 dollars per square meter. Find the cost of materials for the cheapest such container.

A Piper Cub can cover 500 miles in the same amount of time it takes a jet plane, flying 250 miles per hour faster, to cover 1500 miles. How fast is the jet plane flying?

the number is greater than 5. It doubles 7 but it is an even number

juan earns $6 per hr on Saturday and $5 per hr after school on weekends. he worked three times as many hrs on weekdays as on saturday last week and earned $105. how many hrs did he work on saturday

A rectangular storage container with an open top is to have a volume of 10 cubic meters. The length of its base is twice the width. Material for the base costs 13 dollars per square meter. Material for the sides costs 9 dollars per square meter. Find the cost of materials for the cheapest such container.


mary has 7(9)5=r and she doesnt have an answer so she needs your help what does r satnd for


A small corporation borrowed $775,000 to expand its software line. Some of the money was borrowed at 8%, some at 9%, and some at 10%. How much was borrowed at each rate if the annual interest was $67,000 and the amount borrowed was at 8% was four times the amount borrowed at 10%?

Make a 32 0z solution with 2 parts oil and 1 part lemon juice

A three digit number is 198 less than the number when its digits are reversed. Twice the sum of the digits is five more than seven times the tens digit. The tens digit is five less than twice the hundreds digit. Find the original number

A polynomial in x has degree 3. The coefficient of x2 is 3 less than the coefficient of x3. Te coefficient of x is three times the coefficient of x2. The remaining coefficient is more than the coefficient of x3. The sum of the coefficients is 4. Find the polynomial.

the sum of two numbers is 16. their difference is 20. find the numbers

an experienced bricklayer can work twice as fast as an apprentice bricklayer. After they work together on a job for 6 hours, the experienced bricklayer quits. The apprentice requires 10 more hours to finish the job. How long would it take the experienced bricklayer working alone to do the job?

A rectangular room is 7 feet longer than it is wide. If the area of the room is 228 square feet, find the length and the width.

A rectangular room is 7 feet longer than it is wide. If the area of the room is 228 square feet, find the length and width.

feed a has 12% protein. feed b has 5% protein.

82. Diagonal brace. The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures 6 m. Find the width and height.

the sum of three numbers is 8. twice the smallest is two less than the largest , while the sum of the largest and smallest is 5.

Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: w=cr^2 , where C is a constant, and r is the distance that the object is from the center of the earth. Solve the equation w=Cr^2 for r.

The cost of 150 brochures is $29 and the ost of 200 brochures is $35. Find the equation that defines this linear relationship.

Billy likes to mix two cereals for breakfast. He wants to reduce his sugar intake without giving up SugarO`s, his favorite cereal. SugarO`s contains 20% sugar while HealthNut contains 5% sugar. How much of each cereal should he eat to fill a bowl with a 25g mixture which is 10% sugar

During a football game, the parents of the football players sell pretzels and popcorn to raise money for new uniforms. They charge $3.00 for a bag of popcorn and $2.00 for a pretzel. The parents collect $112.00 in sales during the game. They sell twice as many bags of popcorn as pretzels. How many bags of popcorn do they sell? How many pretzels do they sell?

stan can load his truck in 24 minutes. If chris helps him, it takes 15 minutes to load the truck. How long does ti take Chris alone?

J and M have $32. J tells M, if you give me $5 we`ll have the same amount. How much did each one have?

A car and a bus set out at 2 p.m. from the same point, headed in the same direction. The average speed of the car is 30 mph slower than twice the speed of the bus. In two hours, the car is 20 miles ahead of the bus. Find the rate of the car.

A man jumps off a building 35ft 4in high into a twelve inch pool what is the equation of height in terms of time?

how many times stronger is an earthquake which measures 6 on the Richter scale than one which measures 5.5


The sum of two numbers is 11. The first number is the second number times two minus one. what are the two numbers?

Rosa has decided to sell pet rocks at an art fair for $5 each. She has paid $50 to rent a table at the fair and it costs her $2 to package each rock with a set of instructions. For what numbers of sales will Rosa make a profit?

A rectangular storage container with an open top is to have a volume of 10 cubic meters. The length of its base is twice the width. Material for the base costs 10 dollars per square meter. Material for the sides costs 3 dollars per square meter. Find the cost of materials for the cheapest such container.

Find a number that is 56 less than its square.

1. Bob and Sara went to a restaurant last Saturday. Sara remembers that she had a steak and Bob remembers that he had a burger. Their total bill was $22 but they don’t remember what the cost for each was. Sara remembers that her meal was twice as much as Bob’s. How much was each of their meals?

use an equation to model and solve the problem April buys 8books for$44.Paperback books cost $4 and hardback books cost $8/ How many of each type of book did she buy?

When a plane flies into the wind, it can travel 3000 km in 6 hours. When it flies with the wind, it can travel the same distance in 5 hours. Find the rate of the plane in still air and the rate of the wind.

Jim needs to rent a car for a day. He has a choice of 3 different companies. American car rental charges $25 per day plus $0.35 per mile. Tommy`s car rental charges $35 per day plus $0.15 per mile. Northeast car rental charges $50 per day plus $0.10 per mile. How many miles must Jim travel for Tommy`s car rental to be the cheapest rental?

A toy savings bank contains $17.30 consisting of nickels, dimes and quarters. Thenumber of dimes exceeds twice the number of nickels by 3, and the number of quarters is 4 less than 5 times the number of nickels. How many of each coin are in the bank?

use an equation to model and solve the problem April buys eight books for $44. Paperback books cost $4 and hardback books cost $8. How many of each type of book did she buy?


Kristen spent $131 on shirts. Fancy shirts cos $28 and plain shirts cost $15. If she bought a total of 7 then how many of each kind did she buy?

the sum of two number is 300 the first number is 14 less than the second find the number

a rectangular storage container with an open top is to have a volume of 10 m^3. The length of its baed is twice the width. material for the base costs 10 dollars per square meter. Material for the sides costs 6 dollars per square meter. Find the costs of the materials for the cheapest such container

you need to put a fence around a rectangular garden that has a perimeter of 64 feet. The width is 12 feet less than the length. Find the length and width of the garden using an equation

Three years from now a mother will be twice as old as her daughter. Seven years ago, she as three times as old as her daughter. Find the present age of each.


Suppose that it takes Janet 6 hours to paint her room if she works alone and it takes Carol 4 hours to paint the same room if she works alone. How long will it take them to paint the room if they work together?

The Coffee Shop sells a coffee blend made from two coffees, one costing $5/lb and the other costing $6/lb. If the blended coffee sells for $5.60/lb, find how much of each coffee is used to obtain the desired blend. Assume the weight of the blended coffee is 100 lb.

tickets to a play cost $5 for adults, $3 for students and $1 for children less than six years of age. The number of adult tickets sold was eight less than twice the number of student tickets sold while the number of student tickets sold was eleven more than t

it took Mrs. Wilson 3/4 hour to drive to the grocery store. It took her 11/12 hour to drive back home. which activity took the longest time?

Identify the polynomial written in completely factored form 8x^3 () 42^2 (+) 9x (+) 5


a rectangular lot that has a length of 12 feet less than 3 times the width is fenched with less than 40 feet of fence. What are the possible witdths of the lot?



what is three apples plus two yellow apples?

The total value of the quarters and dimes in a coin bank is $6.90. If the quarters were dimes and the dimes were quarters, the total value of the coins would be $7.80. Find the number of quarters in the bank.

What points are the solution to the system of equations? 2x3y=7 3x2y=3

Three times a first number is 2 more than the opposite of a second number. The difference of four times the first number and the second number is 5. Find the smaller of the two numbers.

the sond of two numbers is 4 more than the first. The sum of the numbers is 56. find the numbers

a town`s old street sweeper can clean the streets in 60 h. the old sweeper together with a new sweeper can clean the streets in 15 h. how long would it take the new sweeper to do the job?

how do you do the substitution method?

the larger of two numbers is 23. if three times the larger is 5 more than eight times the smaller

Museum tickets cost $5 for adults and $2 for children. one day the museum sold 1820 passes totaling $6100 in receipts. how many of each type of ticket were sold?

john pilots small planes for a living in a farming region. he earns $30 an hour for dusting crops and $45 transporting cargo. He works 40 hours a week and wants to earn $1600. How many hours should he spend on each job to earn $1600


I do not understand 2x1=y x=y+3 I do not understand system of linear equations

helped by a strong jet stream, a los angeles to boston plan flew 10% faster than usual and made the 4400 km trip in 30 min less time than usual. at what speed does the plane usually fly?

the length of a rectangle is a 5 cm less than three times its width the perimeter is 86 cm find the length and width

A motel clerk counts his $1 and $10 bills at the end of a day. He finds that he has a total of 53 bills having a combined monetary value of $170. Find the number of bills of each denomination that he has.

5(2x6)=307x 10x+30=307x 17x=0 x=0

The Riverside Dance Theater has 47 members in its dance troupe. Each member sold 75 tickets last season. Write and equation showing how many tickets each member sold. Solve.

Xavier owns a music store that sells CDs. CD sales this month were 20 more then three times sales for last month. Next month he hopes to double sales for mthis month

the second of two numbers is 5 more than twice the first.

if 26a = 5  3a, evaluate 4a^  2a +1

2 brands of at home dry cleaning products sell both startup kits and refill packets each start up kit does five loads of dry cleaning. each refill does one load. A= $8.00 price of first kit $1= price of refill B= $9.00 price of first kit $.50 price of refill. Write a system of equations that represents the cost of y for x number of loads

A rectangular storage container with an open top is to have a volume of 70 cubic meters. The length of its base is twice the width. Material for the base costs 70 dollars per square meter. Material for the sides costs 7 dollars per square meter. Find the cost of materials for the cheapest such container.



How much water must be evaporated from a 300 L tank of a 2% salt solution to obtain a 5% solution?

The Cougars football team did a fund raisers before the season. There were twenty players on the team. Each player was responsible for selling a box of chocolate bars and a box of chocolate covered almonds. The chocolate bars sold for $2 each and the chocolate covered almonds sold for $3. The teams goal was to raise $3000. How many chocolate bars and chocolate covered almond did each player have to sell to meet the goal?

A motor boat travels 400 km. if the boat went 18km/h faster, it could have traveled 600 km in the same amount of time. What was the original speed of the boat

The sum of two numbers is 70. The difference of theses numbers is 24. What are the two numbers?

They will be selling adult tickets for $5.00 and children`s tickets for $2.00. How many tickets do they need to sell to make at least $1,200?

Deanna asked a bank teller to cash a $390 check using $20 bills and $50 bills. If the teller gave her a total of 15 bills, how many of each type did she receive?

A company that manufactures bicycles has fixed cost of $300 per day and total costs of $4,300 per day for producting 100 bicycles per day. The cost C is lineraly related to production of x bicycles. Find the slope of the line joining the points associated with producting 0 and 100 bicycles. Then find an equation of the line relating production to cost.

a rectangular field has a perimeter of 300 yards. The equations l = 150  w represents the relationship between the lenght l and w of the field explain why the equation is correct

Two planes travel toward each other from cities that are about 450 km apart at rates of 240 km/hr and 210 km/hr. They started at the same time. In how many hours will they meet?

The little town arts center charges $23 for adults, $13 for senior citizens, and %8 for children under 12 for their live performances on sunday afternoon. this past sunday, the paid revenue was $12843 for 896 tickets sold. there were 44 more children than adults. how many children attended?

The perimeter of a rectangle is 28 and its diagonal is 10. Find its length and width.

Winter wheat. While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three fields is 38 square kilometers, then what is the area of each field?

scientists are studying temperature.

an object is dropped from a hotair balloon 1296 feet above the ground. the height of the object is given by h=16(t9)(t+9) where the height h is measured in feet, and the time t is measured in seconds. after how many seconds does the ball land?


the length of a rectangle is 5cm more than twice the width. the perimenter of the rectangle is 34 cm. find the dimensions of the rectangle a) write an equation to model the length of the rectangle as a function of the width b)write an equation using the fact that the perimeter of the rectangle is 34 cm c) what are the dimentions of the rectangle


Advance tickets to a show cost $35 , and sameday tickets cost $20 . The total number of tickets sold was $50 for total receipts of $1225 . How many tickets of each type were sold?

if Janet is older than chris and ther total age is 46. what is Janet` s age.

if Janet is 5 years older than chris and ther total age is 46. what is Janet\` s age.

A rectangular storage container with an open top is to have a volume of 60 cubic meters. The length of its base is twice the width. Material for the base costs 60 dollars per square meter. Material for the sides costs 8 dollars per square meter. Find the cost of materials for the cheapest such container.

(1 pt) A rectangular storage container with an open top is to have a volume of 80 cubic meters. The length of its base is twice the width. Material for the base costs 80 dollars per square meter. Material for the sides costs 8 dollars per square meter. Find the cost of materials for the cheapest such container.

An Infinity GS35 travels at an average speed of 50 mph. The Lincoln Aviator travels at an average speed of 40 mph. In the time it takes the Lincoln to travel a certain distance, d, the Infinity travels 100 miles farther. Find the distance that each car travels and the time of the trip.

Two cars are 420 miles apart and traveling towards each other along the same road. They meet in 3.5 hours. One car is traveling 15 mph slower than the other. What is the speed of each car?

A social club charters a bus to go to Six Flags at a cost of $900. At the last minute, 5people decide not to go. This raises the cost per person by $2 each. If the cost is split evenly between all the people who go, how many people originally intended to take the trip? How many did take the trip?

Twice the greater of two consecutive odd integers is 13 less than three times the lesser

the perimeter of a triangle is 47 cm. the length of the shortest side is 5 more than 1/2 of the longest side. the remaining side is the average of the 2 sides. what is the length of each side

Fithteen more than twice a number in 9.

Fithteen more than twice a number is 9.

Fifteen more than twice a number is 9.

You order books through a catalog. Each book costs $12 and the shipping and handling cost is $5. Write an equation and make a graph that represents your totaql cost.

Molly`s Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60 and spoons for $5.40. Last April Molly`s Custom Kitchen Supplies spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20. How many forks and how many spoons did they make last April?

A rectangular storage container with an open top is to have a volume of 20 cubic meters. The length of its base is twice the width. Material for the base costs 11 dollars per square meter. Material for the sides costs 5 dollars per square meter. Find the cost of materials for the cheapest such container.

the sum of 7 and twice a certin number is 10 more than the number. what is the number?

the sum of 7 and twice a certin number is 10 more than the number. what is the number

The sum of 7 and twice a certin number is 10 more then the number. what is the number?

The sum of 7 and twice a certain number is 10 more then the number. what is the number?

if the width of a rectangle is 2cm more than onehalf its length and the perimeter is 40cm. What are the dimensions?

how can you solve a system of linear equation word problems spped/current?

how can i sove system of equation word problems that have speed/current?

A small canoe paddled 500 feet upstream in 10 minutes. The paddlers return only 300 feet back downstream in 2 minutes. Calculate the rate of the canoe and of the stream in feet per minute.

the units digit of a twodigit number is one less than three times the tens digit. if the sum of the digits is 11, find the number

A motorboat travels 378 km in 7 hours going upstream and 258 in 3 hours going downstream. What is the speed of the boat in still water, and what is the speed of the current?

Mandy and Mackenzie spent the same amount of maoney at the arcade. They both played the same number of games. Mandy played $0.50 games and spend $10 on refreshments. Mackenzie played $0.75 games and spent $6 on refreshments. How many games did each person play?

A cannon was shot off a 100ft building to hit a target at 100 feet away. it is launched with an initial velocity of 20ft/second. it took the cannon 3 minutes to reach the target. what was the height of the cannon when it hit the target?

if sally takes 4 hours and max takes 6 hours how long will it take if they work together to paint the house


Four large cheeseburgers and two chocolate shakes cost a total of $7.90. Two shakes cost .15 more then one cheese burger what is the cost of a cheese burger? What is the Cost of a shake?

Find a number if the sum of three times the number and 4 times its square is 22.

Ben`s team has scored 159 points that year. knowing tnat the team had won all matches apart from 3 noscore draws. how many games had Ben`s team played?

A rectangular storage container with an open top is to have a volume of 30 cubic meters. The length of its base is twice the width. Material for the base costs 30 dollars per square meter. Material for the sides costs 8 dollars per square meter. Find the cost of materials for the cheapest such container.


you have been put in charge of of event planning for a corporation that is having a martini cocktail hour for its guests.Your boss has given you a budget of $1000 and you would like ti order Grey Goose vodka for the VIP`s and Skyy vodka for the other guests. A bottle of Grey Goose costs $30 while a bottle of Skyy costs $2. you must have 36 bottles total based on the number of guests attending. How many bottles of each type of vodka should you buy?

Ms.speedi is going to have jewels,which cost$100 a piece, set along the outer border of the face of her watch.the jeweler explained that she could place two jewels per cm.,but to estimate the price of the jewels,she would need to know the circumfrence of the watch.the radius of the face of the watch is 2 cm.help Ms. Speedi by finding the approximate cost of the jewels(incuding 8% tax).show all your subproblems.

The reciprocal of two more than a number is three times the reciprocal of the number. Find the number.

The machine cuts equalsized squares measuring 2 inches on a side from each corner of the sheet, and then shapes the plastic into an open box by turning up the sides. If each box must have a volume of 242 cubic inches, find the length of one side of the open box.

one car leaves at 5:00 a.m. the other car leaves at 5:20 a.m. both car go 80 miles, I need a equation to solve for x amount of mph for both cars

Rudy must play 12 commercials during his 1hr radio show. Each commercial is either 30 sec or 60 sec long. If the total of commercial time during that hour is 10 mins, how many commercials of each type does Rudy play?

Tasty Bakery sells three kinds of muffins: chocolate chip muffins at 40 cents each, oatmeal muffins at 45 cents each, and cranberry muffins at 50 cents each. Charles buys some of each kind and chooses twice as many cranberry muffins as chocolate chip muffins. If he spends $6.45 on 14 muffins, how many chocolate chip muffins did he buy

InGeorgia there is a daily limit of 5 largemouth bass that may be caguht.A fIshing license is required with the exception of speCified special dates and places.Annual fishing licenses Cost $9.00 and daily licenses cost $3.50.

A cubic container, with sides of length, x inches, has a volume equal to x^3 cubic inches. The height of the container was decreased and the length was increased so that the volume is now modeled by the expression x^3+4x^25x By how many feet were the height and length changed? (Hint: Volume = length times width times height)

17oz of mixed nuts containing 70% peanuts were mixed with 8oz of another kind of mixed nuts that contain 20% peanuts. Peanuts are what percent of the new mixture

Show an equation and a solution for the problem. It takes John 20 hours to paint a building. It takes Sam 15 hours to paint the same building. How long will it take for them to paint the building if they work together, with Sam starting one hour later than John? Round to the nearest tenth

It takes two hours to drive between the towns of Potter and Germantown. It takes 8 hours to make the trip by bicycle. How long will it take for a car and a bicycle to meet, starting at opposite towns at the same time?

A high school had 1200 students enrolled in 2003 and 1500 students in 2006. If the student population P ; grows as a linear function of time t, where t is the number of years after 2003. a) How many students will be enrolled in the school in 2010? b) Find a linear function that relates the student population to the time t.

A jet leaves the charlotte,north carolina,airport travelling at an average rate of 564km/h.another jet leaves the airport one half hour later travelling at 744km/h in the same direction.use an equation to find how long the second jet will take to overtake the first.

Carlos is 8 years older than his sister Maria. Four years ago Maria was twothirds as old as Carlos. How old are they now?

Several students decide to start a Tshirt company. After inital expenses of $280, they purchase each Tshirt wholesale for $3.99. They sell each Tshirt for $10.99. How many must they sell to break even?

The combined cost of one advance ticket and one sameday ticket to a show was . It is known that tickets were sold in advance and the same day, for total receipts of . What was the price of each kind of ticket?

You buy a car for $18,000. Eight years later the car is worth $4500. Let X be the ca`s age in years and let y be the value of the car after x years. Find two ordered pairs (x, Y) from the above information.

A town`s old street sweeper can clean the streets in 60h. The old sweeper together with a a new sweeper can clean the streets in 15h. How long would it take the new sweeper to do the job alone?

So Wing has made a quilt that is 4 feet by 5 feet. So wants to use the remaining 10 square feet of fabric to add a decorative border of uniform width. What should the width of the boarder be?

a boat travels 30 miles downstream in 15 minutes. Find the average rate of speed of the boat in feet per second.

A farmer has 50 animals, chickens and pigs. between the animals there are 144 legs. assuming no amputees or mutations, how many are there of each animal? Construct a systems of equations and solve.

a wine maker has two large casks of wine. One wine is 8% alcohol, and the other is 18% alcohol. How many gallons of each wine should be mixed to produce 30 gallons of wine that is 12% alcohol?


the length of a rectangle is 6 inches more than it is wide. The area of the rectangle is 91 square inches. Find the dimensions of the rectangle.

mom is 5 times as old as son. in 5 years she will be just 3 times as old as son. how old is son?

The length of a rectangle is 2 feet more than twice the width. The perimeter of the rectangle is 40 feet. Find the length and width of the rectangle. (Hint: First write the length using an algebraic expression that contains width. Then use the formula for the Perimeter = 2(width + length )

the sum of the squares of two consecutive positive integers is 244. find the numbers

a small circle of diameter 15 cm and a big circle of diameter 30 cm. is the small circle twice as large as the big circle? use calculation to support your answer.

Given t=16.625ln(x/x750), which approximates the length of a home mortgage of $150,000 at 6%in terms of a monthly payment. What is the monthly payment if the length of the mortgage is 22 years?





the path of the ballf or many folf shots can be modelled byu a quadratic function. The path of a golf ball hit at an angle of about 10 degrees to the horizontal can be modelled by the function. h= 0.002d squared + 0.4d where h is the height of the ball, in metres, and d is the horizontal distance the ball travels, in metres, until it first hits the ground. What is the maximum height reached by the ball?

Heidi mkes a bank deposit of P59,500with 96 bills consisting of P500 and 1000 bills

Heidi mkes a bank deposit of P59,500 with 96 bills consisting of P500 and 1000 bills

word problem invovlving linear equations and inequalities


the sum of two numbers is 65.their difference is 15.find the numbers

A radioactive material has a halflife of 500 years. a laboratory has 50 grams of this material.



The perimeter of a rectangle is 88 inches. The length exceeds the width by 14 inches. Find the length and the width.

A total of 420 tickets were sold for the cicus. Children`s addmissions tickets were $5 and Adult addmission tickets were $11. The circus collected a total of $3180.

A pool is partially filled with 1000L of water. A garden hose with a flow rate of 8L/min, is used to completely fill it. Consider the relation between the quantity of water (Q) in the pool and the time (t) in minutes since the faucet was turned on. Give the equation that expresses this relation.

Roast beef has 25g of protein and 11g of calcium per serving. A serving of mashed potatoes has 2g of protein and 25g of calcium. How many servings of each are needed to supply exactly 29g of protein and 61g of calcium?

carma travels 185 miles at a certain speed to get to her school Strayer. If the car had gone 5 mph faster, the trip would have taken 1 hr less. What is Carmas speed?

A man bought a certain number of tin milk for 126kobo. he kept 4 tins for his own use and sold the rest at 3kobo more per tin than he pay for them, making a total profit of 14kobo on the deal. how many tins did he bought?

how much of each of 30% alcohol and 80% alcohol should be added together to get 5 liters of mixture that is 50% alcohol

suppose you throw a ball over a 10foot fence. barely clearing the fence, the ball reaches its highest point directly above the fence and lands 10 feet from the fence.using the fence as axis of symmetry, write a quadratice equation that models the balls height.

Consider a 90°C cup of coffee in a 20°C room. Suppose it is known that the coffee cools at a rate of 1°C per minute when its temperature is 70°C. What is the differential equation in this case? Sketch a direction field and use it to sketch the solution curve for the initialvalue problem.What is the limiting value of the temperature?

if samantha hiked up a hill at 4 km/hr and back down at 6km/hr and her total time was three hours how long did the trip up the hill take her?

The length of a rectangle is twice the width. the area 242 yd^2. find the length and the width


one pump can fill a tank in 4 hours. A second pump can fill the tank in 3 hours. If both pumps are used at the same time, how long will they take to fill the tank

a)The sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. Use x to represent floor plan #1 and y to represent floor plan #2. Write an equation that illustrates the situation. b)The sales representative later indicates that there are 3 times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in part a. c)Use the equations from part a and b of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem. d)What are the intercepts of the equation from part a of this problem? What are the intercepts from part b of this problem? Where would the lines intersect if you solved the system by graphing?

Four oranges and five apples cost $3.56. Three oranges and four apples cost$2.76. Find the cost of an orange and the cost of an apple.


the intake pipe can fill a certain tank

when first the marriage knot was tied between my wife and me, her age did mine as far exceed as three plus three does three; but when three years and half three years we man and wife had been our ages were in ratio then as twelve is to thirteen. How old were they on his wedding day?

A gardner sets 180 plants in rows. Each row contains the same number of plants. If there are 40 more plants in each row, the gardner would need 6 fewer rows. How many rows are there?

A chemical storeroom has a 62% alcohol solution and a 39% alcohol solution. How many ounces of each should be used to obtain 36 ounces of a 52% solution?

Find three consecutive even integers such that half their sum is 7 less than the greatest.

bob was a boy for 1/6 of his life/ after 1/12 more, he aquired a beard. after another 1/7, he married. in the fifth year after his marriage his son was born. the son lived half as many years as his father. bob died 4 years after his son. how old was bob when he died?

In a motorcycle race, one lap of the course is 650m. At the start of the race, Genna sets off 4 seconds after Tom does, but she drives her motorcycle 5m/s faster and finishes the lap 2.5 seconds sooner than he does. a) Find the speed at which each of them is driving. b) Find the tim etaken by each of them to cover the distance.

Write an equation for the number of miles traveled and $4 charged for each trip

The moving sidewalk at O`Hare Airport in Chicago moves 1.8ft/sec. Walking on the moving sidewalk, Roslyn travels 105 ft. forward in the time it takes to travel 51 ft. in the opposite direction. How fast does Roslyn walk on a nonmoving sidewalk?

The moving sidewalk at O\`Hare Airport in Chicago moves 1.8ft/sec. Walking on the moving sidewalk, Roslyn travels 105 ft. forward in the time it takes to travel 51 ft. in the opposite direction. How fast does Roslyn walk on a nonmoving sidewalk?

the sum of three consecutive integers is o6. Find those 3 numbers alegebracially.

the sum of three consecutive integers is 36. Find those 3 numbers alegebracially.

You want to know which month had the highest percentage of rainy days for your city last year. Your investigation gave the following results: March had 5 days of rain, April had 8 days of rain, and May had 3 days of rain . For each month, what percentage of the month had rainy days? Which month had the highest percentage of rainy days?

After t seconds, the height ( h(t) ) of a model rockett launched from the ground into air is given by the function: h(t) = 16t +80t. How long before the rocket hits the ground?


the U.S senate has 100 members. After a Certain election, there 12 more democrats than repubilcans, with no other parties represented. how many members of each party was there i9n senate?

24 decreased by the quotient of the number and 6 is 5

a number when added to its halfgives 72. Find the number?

Molly`s Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60 and spoons for $5.40. Last April Molly`s Custom Kitchen Supplies spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20. How many forks and how many spoons did they make last April?


A certain molecule contains twice as many atoms of hydrogen as oxygen and one more atom of carbon than hydrogen. If there are 21 atoms altogether in the molecule, how many atoms of carbon are there?

A 10% solution of isoproply alcohol is mixed with a 20% solution of isopropyl alcohol to produce 40 liters of a 17% solution. How many liters of the 10% solution and how many of the 20% solution must be used?

If a number is added to two times its square, the result is thirtysix.

a manufacturer of a certain product sells all that is produced. We know that the product will be sold for $8 per unit, fixed cost is $5000 and variable cost is $22/9 per unit. At what level of production will company Profit of $5000 breakeven loss of $2500


There are > 1000 coins w/ "heads" facing up on a table. One at > a time 1000 people > > are about to go walk pass the table. The first person in > line goes down the > > table and flips over every coin. The second person in line > goes down the table > > and flips over every other coin (starting with the second > coin). The third > > person in line proceeds down the table and flips over every > third coin (starting > > with the third coin). After everyone has gone through the > line, which numbered > > coins will have "tails" facing up.

salt coming in at one rate and going out at another

A pennsylvania fruit grower has at most 1500 bushels of apples that are to be divided between markets in Harrisburg and Philadelphia. These two markets need at least 400 bushels and 600 bushels respectively. Find a system of inequalities that model the description.

A collection of 64 c coins containing only nickels and dimes is worth $4.50. How many of each coin are there?

A company purchased a machine for $5000. After 5 years the machine is worth $2000. Write a linear relation that represents the value of the machine each year.

Phil can paint the garage in 10 hours. If Rick helps Phil and they paint together they can complese the job in 6 hours. How long would it take Rick by himself to paint the garage?


One number is 4 more than thrice another. Find the number if their sum is 36.

the sum of two integers is 116. the second number is three times the first number. find the numbers

the sum of two integers is 64. when the smaller number is subtracted from the larger number, the difference is 26. find the two numbers.

The sum of two numbers is 25. And their differnece is 7. Find the numbers.

The Sum of two numbers is 48. Four times the smaller number is equal to twice the larger number. Find the two numbers.

The length of a rectangle is three times its width. If the perimeter of the rectangle is , find its area. The length of a rectangle is three times its width. If the perimeter of the rectangle is , find its area. The length of a rectangle is three times its width. If the perimeter of the rectangle is , find its area. The lenght of a rectangle is three times its width. If the perimeter of the rectangle is 56 feet, find its area

While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three fields is 38 square kilometers, then what is the area of each field?

Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21. Find the numbers.

24Karat Gold is pure gold, 12karat gold is half gold, and 17karat gold is an alloy that consists of 17 parts gold and 7 parts of another metal. Supoose that both pure gold and 14karat gold are available. How many grams of each must be mixed to get 120 grams of 17karat gold?

Diophantus was a famous Greek mathematician who lived and worked in Alexandria, Egypt, probably in the third century C.E. When he died, someone described his life in this puzzle. He was a boy for 1/6 of his life. After 1/12 more, he acquired a beard. After another 1/7, he married. In the fifth year after his marriage, his son was born. The son lived half as many years as his father. Diophantus died 4 years after his son. How old was Diophantus when he died?

In a family there are two cars. In a given week, the first car gets an average of 40 miles per gallon, and the second car gets 20 miles per gallon. The two cars combined drive a total of 1800 miles in that week, for a total gas consumption of 55 gallons. How many gallons were consumed by each of the two cars that week?


A rectangular storage container with an open top is to have a volume of 14 cubic meters. The length of its base is twice the width. Material for the base costs 11 dollars per square meter. Material for the sides costs 9 dollars per square meter. Find the cost of materials for the cheapest such container.

The volume of a box V is given by the formula V = lwh, where l is the lngth, w is the width, and h is the height. a. solve the formula for h b. what it the height of a box with a volume of 50 cubic meters, length of 10 meters, and width of 2 meters

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. Combining 144 ounces of Solution A with 36 ounces of Solution B gives 180 ounces of a mixture that is 75% salt. Combining 20 ounces of Solution A with 80 ounces of Solution B gives 100 ounces of a mixture that is 90% salt.

Two tractors are removing a tree stump from the ground. The tractors are pulling at a right angle from each other with forces A and B, respectively. The resulting force, R is given by the formula: R = sqrt A^2 + B^2. Tractor A exerts a force of 300 pounds. If the resulting force is 500 pounds, how much force is tractor B exerting in the removal of the stump?

Wind speed varies in the first twenty meters above the ground. For a particular day, let f(x) = 4.0 ln x +4.9 compute the wind speed x meter above the ground. At what height is the wind speed 7 meters per second?

find three consecutive positive intergers such that the product of the first and third,minus the second, is 1 more than 4 times the third

in 2000 the populaion is 10,000 with a growth rate of 100. find a linear equation P=mt+b which gives the population p, t years from 2010.

find the critical point of the function f(x)=abs(x+3)1

The expensive ones cost $7 each, whereas the worthless ones cost $2 each. Alex spent $111 and bought three more expensive ones than worthless ones. How many of each kind did she buy?

The sum of two numbers is 360. Their difference is 30. Find the numbers and write the equation for the problem.

a square is turned in a rectangle by increasing one dimension by 9 and decreasing the other by 3. the area of the rectangle is 5 times more than the area of the square. what was the original side of the square?

John has decided to remodel his house. One room in his house is 9ft. by 12 ft. He will increase the length and width by the same amount and the new area of the room will be 208 sq. ft. By what amouont will he increase the length and width?

Investments. William opened two investment accounts for his grandson’s college fund. The first year, these investments, which totaled $18,000, yielded $831 in simple interest. Part of the money was invested at 5.5% and the rest at 4%. How much was invested at each rate? .055x + (18,000  x).04 = 831 .055x + 720  .04x = 831 .015x = 111 x = 7,400 $7,400 was invested at 5.5% $10,600 was invested at 4.0% Radio Airplay. Rudy must play 12 commercials during his 1hr radio show. Each commercial is either 30 sec or60 sec long. If the total commercial time during thathour is 10 min, how many commercials of each typedoes Rudy play?


the length of a rectangle is 7 feet less than one half the width. the area of the rectangle is 40 square feet. find the length and width of the rectangle.

one number is 3 less than a secong number. twice the second number is 48 more than the 5 times the first. find the two numbers

Frank’s Specialty Coffees makes a house blend from two types of coffee beans, one selling for $9.05 per pound, and the other selling for $6.25 per pound. His house blend sells for $7.37 per pound. If he is using 9 lb of the $6.25/lb beans, how many pounds of the $9.05/lb beans does he need to make his house blend

candy worth $1.25 a pound were mixed with candy worth $1.50 a pound to produce a mixture worth $1.35 a pound. How many pounds of each kind of candy were used to make 45 pounds of the mixture?

Shawna and Mei are sellingflower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of daffodil bulbs . Shawna sold 8 packages of tulip bulbs and 8 bags of daffodil bulbs for a total of $224.Mei sold 3 packages of tulip bilbs and 11 bags of daffodil bulbs for a total of $220. What is the cost each of one package of tulips and one bag of daffodil bilbs?

the decay rate of a certan chemical is 9.7%. What is its half life?

There is a 50 ft. beam that has cast a shadow of 13 ft. across the ground, what is the angle at which the shadow was casted

On a certain day two inspectors, A and B, employed by a factory, were inspecting a lot of manufactured articles. In the morning A had inspected 1500 articles before B started in. During the remainder of the morning they inspected 4000 more, A working 4 hours altogether. In the afternoon A worked 4 hours and b 2 hours, in which time they inspected 5200 articles. Find the average number of articles that each inspected per hour and the number of hours that B worked in the morning.

a motorboat travels 300km in 5 hours going upstream and 440km in 4 hours going downstream. What is the speed of the boat in still water, and what is the speed of the current?


A rectangular garden is 3 feet longer than it is wide. A onefoot border of flowers surrounds the garden. If the area of the flower border is 26 feet, what is the length of the garden


Your friend asks you to bring ice cream to his party. There are several different brands of ice cream with a different size and shape. Write a formula that will help you fine the price per gram for each brand. x=price of carton of ice cream. y=number of grams in carton. z=price per gram

A farmer has 8,000 feet of fencing. He wants to enclose a rectangular plot and then divide it into tow plots with a fence parallet to one of the sides. What is the largest area that can be enclosed? What are the lengths of the sides of each part of the enclosed area?

You invest $14,000 in stocks and bonds paying 9% and 3% annual interest. If the total interest earned for a year was $900 how much interest was invested in each?

if each of the sides of a square is lengthened by 7 cm, the area of the new square is 225 square centimeters. what is the length of a side of the original square?

a plot of ground is to be enclosded by a rectangular fence. fencing for three sides costs 8 per foot. Fencing for the fourth side costs 24 per foot. use the techniques of calculus to find the maximum area that can be enclosed for $8000

A leanto green house extending 2 m from a wall is to have one end and four fifths of its square slanting side made from transperent plastic. What is the tallest it can be if enough plastic is available to cover 6.5 sq m?

a cornstalkis 5 inches tall and the weed is 11 inches tall.the cornstalk is growing at a rate of 2 1/2 per week and the weed is growing at a rate of 1 inch per week .when will the cornstalk and the weed be the same height ? equation with variables on both sides

The denominator of a fraction is 8 more than the numerator. If 3 is added to both the numerator and the denominator, the value of the resulting fraction is 1/2. What is the original fraction?

Mary has $5000 to invest into two accounts paying simple interest. The first accounts pays a guaranteed 8% simple interest and the second account pays a guaranteed 10% simple interest. How much money should Mary should invest in each account if she wants to earn $ 800 combined annual interest paid on the two accounts?


The University of Michigan`s basketball team made 48 field goals in a recent game; some were 2pointers and some were 3pointers. How many 2point baskets were made and how many 3point baskets were made if Michigan scored 114 points?

find 4 consecutive even integers whose sum is 360.

The reciprocal of 5 less than a number is 4 times the reciprocal of twice the number. Find the number.


the absolute value of x9/x5 is greater than or equal to 5

Mary takes twice as long as Carole to make the display case at school. Together it takes 4 hours to do the display case. How long does it take Mary to do it herself?


• Determine whether an outfitter leading a backpacking trip would find it more cost effective to make a onetime bulk foods purchase at a buyer’s club with membership fees or purchase the same goods at a conventional supermarket. i need to create variables and arrange an equation from this problem... PLEASE HELP!!!!


systems of equations, systems, equations, solving systems of equations, solving equatio


Adult tickets for a basketball game are $5 and children`s $4. At the game 300 seats were filled. If the revenue from the ticket sales was $1410, how many adults attended the game and how many children attended the game?

the revenue of a charter bus company depends on the number of unsold seats. If 100 seats are sold, the price is $50. Each unsold seat increases the cost per passenger by $1. Let x represent the number of unsold seats. Write and expression for the number of seats that are sold. Write and expression for the price per seat. Write and expression for the revenue. Find the number of unsold seats that will produce the maximum revenue. Find the maximum revenue.

Zelma is 18 years older than her son> She was three times as old as he was one year ago. How old are they


the perimeter of a rectangle is 202 inches. the length exceeds the width by 63 inches. What are the length and width


The depth of water at the end of a pier varies with the tides throughout the day.Today the high tide occurs at 2:17 a.m. with a depth of 9m. The low tide occurs at 8:31 a.m. with a depth of 3.5 m .If the tide ebb and flow over time in a periodic manner. Find a trignometric equation that models the depth of the water x hours after midnight

John recently drove to visit his parents who live 840 miles away. On his way there is average speed was 24 mph faster than on his way home. If John spent a total of 24 hours driving, find the two rates.

a vendor at a county fair wishes to invest $300 in his milkshake booth and would like his total revenue to be $900. He figures he can make a small shake for $ 0.40 anda large shake for $0.68. He plans to sell a small shake for $1.25 and a large shake for $2.00. How many of each size shake will he need to make and sell to realize his revenue

a certain twodigit number has a value that is 2 more than 6 times of its digits. the tens digit is 1 more than the unit digit. find the number

my son`s basketball team charges adults $3.50 and children $1.50 for admission there was 220 person that attended and they made $535.50. How many adults and children attended the game?

Guy wants to market a new type of lock, which costs him $11 to manufacture. Guy plans to spend $14 000 on promotion and will sell each lock for $18.

Devon purchased tickets to an air show for 7 adults and 2 children. The total cost was 114 dollars. The cost of a childs ticket was 6 dollars less than the adult`s ticket. Find the price of an adult and child ticket.

A collection of dimes and quarters has a value of $1.35. List all possible combinations of dimes and quarters?

Find the value of two numbers if their sum is 12 and their difference is 4.

a farmer wants to fence 600m. Tell the dimensions

it takes Paul 9 hours more than it does Patty to construct a stone wall. Working together, they can build the wall in 20 hours. How long would it take each, working alone, to bulid the wall?

Write a system of equations to solve the following problem. Let c be the number of child tickets and a be the number of adult tickets. Each child ticket for a ride costs $2, while each adult ticket costs $6. If the ride collected a total of $148, and 38 tickets were sold, how many of each type of ticket were sold

Pump A can unload the Lunar Petro in 30 h and pump B can unload it in 24 h. Because of an approaching storm, both pumps were used. How long it take to empty the ship?

Johnny buys a pair of jeans and a shirt for $60. The jeans cost three times as much as the shirt. How much did the shirt cost?

seven halves of a number added to the same number the sum is 5 1/3. find the number.

A farmer wishes to create two equal corrals in an open pasture by enclosing a total of 600 square meter with fencing material.What is the least amount of fencing required?

An aircraft with a constant speed in still air travels 4400 km with a constant tailwind in 4 hours. With the same wind now against the aircraft, it takes 5 hours to make the return trip. What was the speed of the wind, in km/hr?


One type of granola is 30% fruit and another type is 15% fruit. What mass of each type of granola should be mixed to make 600 g of granola that is 21 % fruit?

how to solve logarithmic function in a given word problems?

list of word problems in logarithmic function for our project ?

An aircraft with a constant speed in still air travels 4400 km with a constant tailwind in 4 hours. With the same wind now against the aircraft, it takes 5 hours to make the return trip. What was the speed of the plane, in km/hr?

eight less than three times a number is 36 more than onefourth of the number. find the number

Eight less than three times the number is 36 more than onefourth of the number. Find the number

Eight less than three times the number is 36 more than onefourth of the number. Find the numbers

Mack’s Tee Shirt Shack sold 36 shirts one day. All shortsleeved tee shirts cost $12 and all longsleeved tee shirts cost $18. Total receipts for the day were $522. How many of each kind of shirt were sold?

together Steve and Heather`s ages add up to be ten. If we let "x" be Steve`s age, set up the polynomial describing Heather`s age.

The Madison Local High School marching band sold gift wrap to earn money for a band trip to Orlando,Florida .The gift wrap in solid colors sold for $4.00 per roll ,and the print gift wrap sold for $6.00 per roll .The total number of rolls sold was 480 ,and the total amount of money collected was $2340. How many rolls of each of each kind of gift wrap were sold?


The area of sherry`s flower garden is onefourth the area of her vegetable garden.The area of the flower garden is 17 square feet. Let X represent the area of the flower garden. Find the area of her vegetable garden?

The area of sherry\`s flower garden is onefourth the area of her vegetable garden.The area of the flower garden is 17 square feet. Let X represent the area of the flower garden. Find the area of her vegetable garden?


ma hs 150 coins,all nickels and dimes. he has 12 more dimes than nickles. howmany nickles and how many does he have?

Berta likes to run in her neighborhood. Some days, she goes on a short route that takes 10 minutes. On other days, she runs on a longer route that takes 45 minutes. The longer route is 4150 yards longer than twice the short route. She runs at the ssame average speed on both routes. How long is the short route?

the length of a rectange is 3 ft less than twice the width. the area of the rectange is 135ft sq. find the length oand width of the triangle

One pipe fills a storage pool in 7 hours. A second pipe fills the same pool in 21 hours. When a third pipe is added and all three are used, it only takes three hours. Find how long it takes the third pipe to do the job alone.

A total of 312 tickets were sold for the school play. The number of student tickets sold was two times the number of adult tickets sold . How many adult tickets were sold?

A business is adding a new parking lot. The length must be at least twice the width, and the perimeter must be under 800 feet

There were a total of 575 people that bought either popcorn or a candy bar at the Charolotte Eagle`s men`s soccer game. Each person bought only one item. The price of each bag of popcorn wa $2.50 and each candy bar was $2.00. The popcorn and candy bar sales brought in $1,275. How many bags of popcorn, and candy bars were sold?

There were a total of 575 people that bought either popcorn or a candy bar at the Charolotte Eagle\`s men\`s soccer game. Each person bought only one item. The price of each bag of popcorn wa $2.50 and each candy bar was $2.00. The popcorn and candy bar sales brought in $1,275. How many bags of popcorn, and candy bars were sold?

The sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. The sales representative later indicates that there are 3 times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation.

there are twice as many girls in a classroom. When three new girls join the class will have 24 students. how many boys and girls were originally in her class?

a water tank can be filled from source A, source B, or Both. Using source A alone, it takes 12 hour. Using both sources takes 4 4/5 hours.how long does it take using source B alone?


Two housese are for sale on the same street. The second house has 1,000 square feet less than twice the square feet of the first house. Togehter the housese have 4.400 square feet. What is the square footage of the first house?

Shelley can paint a fence in 8 hours. Karen can do it in 4 hours. How long will it take them to do the job together?

a square is turned into a rectangle by increasing one dimension by 9 and decreasing the other by 3. The area of the rectangle is 5 more than the area of the square. What was the original side of the square?

the perimeter of a rectangle is 58 cm. the width is 7 cm. less than three times the length. find the width of the rectangle.

a picture frame measures 70 cm by 60 cm. 600 cm^2 of picture shows inside the frame. Find the width of the frame.

Tickets to play were $4 for children and $5 for adults. if the theater sold 46 tickets for a toal of $200, how many were adult tickets?

ryan is driving south.gabby left 3 hours later driving 42 km/h faster to catch him. after two hours gabby finally caught up. find ryan`s average

I need help with an example of a Quadratic word equation using a ball thrown off a roof.


A fishing boat with a trolling motor can move at a speed of 5 km/h in still water. The boat travels 42 km downriver in the same time that it takes to travel 12 km upriver. What is the speed of the river

a metal alloy is 25% copper. Anothermeatal alloy is 50% copper. How much of each alloy should be used to make 1000g of a metal alloy is 45% copper?

The drama club sold a total of 370 tickets to their spring production. Adult tickets cost $8 each and student tickets cost $5 each. If the amount sold was $2540, how many adult tickets were sold?

5 times the sum of 3 consecutive numbers is 1185. Find the 3 numbers


a total of 50 juniors and seniors were given a math test. The 35 junior attained an average score of 80 while the 15 seniors attained an average of 70. What was the average score for all 50 students

e) The second home has 1000 square feet less than twice the square feet of the first home. Write an equation that illustrates this situation using x and y to denote home #1 and home #2, respectively.

BOY BOUGHT 3/8 OF HIS MONEY FOR BOOK AND 1/2 OF HIS REMAINING MONEY OF $6.25. hOW MUCH MONEY DID HE START WITH?


the maximum number of units a worker can produce in a day is 30. the learning curve for the number of units N produced per day after a new employee has worked T days is N=30(1  e^kt). after 20 days on the job, a new employee produces 12 units. how many days shuld pass before this employee is producing 24 units per day?

alumium metal+copper (II) chloride=aluminum chloride+copper metal

e) The second home has 1000 square feet less than twice the square feet of the first home. Write an equation that illustrates this situation using x and y to denote home #1 and home #2, respectively. f) Together, both homes have 4,400 square feet. Write an equation that illustrates this situation using the same variables you used in part e.

Kristen makes $5 an hour at a video store and $7 an hour at a landscaping company. She must work at least 4 hours per week at the video store, and the total number of hours she works at both jobs in a week cannot be greater than 15. What is the maximum amount Kristen could earn in a week?

Your are choosing between two cell phone plans. One has a $15/mo fee and $.05/min charge. The other has a fee of $5 and charges $.07/min. At how many minutes with the two plans cost the same. What will be the cost for each plan?

the sum of two numbes is 19. their difference is 5. what are the numbers?

suppose that y varies jointly with w and x and inversely with z and y=360 when w=8, x=25 and z=5. Write the equationg that models the relationship.

The county`s new asphalt paving machine can srface 1 km of highway in 10 h. A much older machinge can surface 1 km in 18 h. How long will it take them to surface 21 km of highway if they start at opposite ends and work day and night?

Ms.Seymon invested 5400$ for one year. part at 4% and the rest at 7%. Her total interest for the year was $297. How much did she invest at each rate?


Eight years ago, Albert was 1/4 of Bubba`s age. In 12 years he will be 2/3 of Bubba;s age. How old is Bubba now?

Eight years ago, Albert was 1/4 of Bubba\`s age. In 12 years he will be 2/3 of Bubba;s age. How old is Bubba now?

1. In this problem, we will analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research). a. Suppose that a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)). A company’s revenue is the amount of money that comes in from sales, before business costs are subtracted. For a single product, you can find the revenue by multiplying the quantity of the product sold, x, by the demand equation, p. b. Substitute the result you found from part a into the equation R = xp to find the revenue equation. Provide your answer in simplified form. The costs of doing business for a company can be found by adding fixed costs, such as rent, insurance, and wages, and variable costs, which are the costs to purchase the product you are selling. The portion of the company’s fixed costs allotted to this product is $300, and the supplier’s cost for a set of tile is $6 each. Let x represent the number of tile sets. c. If b represents a fixed cost, what value would represent b? d. Find the cost equation for the tile. Write your answer in the form C = mx + b. The profit made from the sale of tiles is found by subtracting the costs from the revenue. e. Find the Profit Equation by substituting your equations for R and C in the equation . Simplify the equation. f. What is the profit made from selling 20 tile sets per month? g. What is the profit made from selling 25 tile sets each month? h. What is the profit made from selling no tile sets each month? Interpret your answer. i. Use trial and error to find the quantity of tile sets per month that yields the highest profit. j. How much profit would you earn from the number you found in part i? k. What price would you sell the tile sets at to realize this profit (hint, use the demand equation from part a)?

an electric current runs through molten silver nitrate, and produces an element

Shelley can paint a fence in 8 hours. Karen can do it in 4 hours. How long will it take them to do the job if they work together?


You are selling tickets for a high school basketball game. Student tickets cost $3 and general admission tickets cost $5. You sell 350 tickets and collect $1,450. How many student tickets did you sell?

The specifications for a cardboard box state that the width is 5 cm less than the length, and the height is 1 cm more than double the length. Write an equation for the volume of the box and find possible dimensions for a volume of 550 cm^3

a running track of 400m of six lane .give geometrical ideas on circum ference and radius

a running track of 400m of six lane .give geometrical ideas on circumference and radius


Two young boys, Bob and Tom, are mowing grass one summer as a means of making money to save for their college education. They always split the work and proceeds equally. They have one lawnmower. They obtain a new job which involves mowing a 40` by 80` rectangular vacant lot. The owner wants it mowed in a collapsing pattern (begin mowing around the outside perimeter, with each pass moving closer to the center of the lot). Bob will mow first, turning the work over to Tom when he has mowed exactly half the area. Bob decides that he will stop at a uniform distance in from the perimeter on all sides, leaving a remaining rectangle for Tom to complete. At what uniform distance (in feet to 2 decimal places) should Bob stop mowing? Solve by creating and solving a quadratic equation.

64 to the 4th power equal to 4 to the 4thpower times x plus 1

What is the difference bettwen linera equations

two cars travel in opposite directions, starting from th same place at the same time. one travels at an average rate of 48 miles an hour and th other averages 55 miles an hour. in how many hours willl they be 618 miles apart?

A 240 inch pipe is cut into two pieces. One piece is 3 times the length of the other. Find the lengths of the pieces.

A jar held 450 coins in nickels and quarters. Their value altogether was $62.50. How many of each type of coin were in the jar?

A person invests $36,000, partly at 5%, partly at 6%, and the remainder at 6.5%. The total annual interest is $2,190. Three times the amount invested at 6% equals the amount invested at 5% and 6.5% combined. How much is invested at each rate?

Charlie traveled 600 miles, averaging 40 miles per hour for part of the trip and 60 miles per hour for the remainder of the trip. The entire trip took 11 hours. how long did Charlie travel at each rate?

2x^2+3xy4y^2 when x=2 and y =4

Lori made the 10km round trip to take the tackle shop in the family boat. She left at 9AM, stayed 5 min at the shop, and was back at 10. If the current of the river is 1km/h, what is the boat`s rate in still water?

Using only 32cent and 20cent stamps, Charlie put $3.36 postage on a package he sent to his sister. He used twice as many 32cent stamps as 20cent stamps. Determine how many of EACH type of stamp he used.

The length of a rectangular painting is 9 feet greater than the width. If the perimeter is 30 feet, then what are the lenght and the width?

Current Rate Increased Rate Initial Charge $6 $10 Hourly Rate $4 $5 a. Write a variable expression showing the total cost to rent a bike at the current rate. Write a variable expression showing the total cost to rent a bike at the increased rate. Define the variable. b. Use the variable expressions to calculate the cost to rent a bike for 6 hours at the current rate and at the increased rate. Show all your work. c. Calculate the percent increase in the total cost to rent a bike for 6 hours if the proposed rates are approved. Show all your work. d. Jerome paid $42 for a bike rental at the current rate. Write and solve an equation to determine the number of hours he rented the bike. Show all your work.

the area of a rectanle exceeds the area of a square by 24cm find x (additional information) rectangle: lenght=(x7) width=(x6) sqaure: lenght=(x7) width=(x7)

The number of girls at Sky High School is 60 greater than the number of boys. If there are 1250 students all together, how many girls are there?

the sum of the squares of two consecutive even intergers is 244. find the interger

the maximum number of people allowed in the restaurant is 130. write an inequality for the statement

With a tail wind, a plane traveled 800 mi in 5 hours. With a head wind, the plane traveled the same distance in 8 hours. Which system of equations could be used to solve this problem?

Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip the plane only averaged 112 kn/h while flaying back into the same wind. Find the speed of the wind and the speed of the plane in still air

Big Video offers a apecial discount card that costs $9.99 for one year. With the discount card, each video rental costs $2.49. A discount card from Main Street Video costs $20.49 for one year. With the Main Street Video discount card, each video rental costs $1.79. After how many video rentals is the cost the same?

the landing for the steps leading up to a county courthouse is shaped like a trapezoid. the area of the landing is 1500 square feet. the shorter base of the trapezoid is 15 feet longer than the height. the longer base is 5 feet longer than 3 times the height. what is the length of the longer base?

galina spent $3.60 for stamps to mail packages. some were 30 cent stamps and the rest were 20 cent stamps. the number of 20 cent stamps was 2 less than the number of 30 cent stamps. how many of each kind did galina buy?

8x + 4y what is the lenght of the missing sides

karen is twice as old lori. three years from now the sum of their ages will be 42. how old is karen?

a carpet store charges $20 per square yard of carpet after an initial installatin fee. A customer paid a total of $800 for 30 square yards

When you light a bunsen burner, you are causing methane gas to react with oxygen in the air. This produces carbon dioxide and water.

A rectangle has a perimeter of 30 inches. The length is twice as long as the width. What equation could be used to find the length?

Hoses A and B are used to fill a pool. Together the two hoses can fill the pool in 4 hours and 15 min. If hose A can fill the pool alone in 9 hours, how long will it take for hose B to fill the pool by itself?

You invested money in two funds. Last year , the first fund paid a dividend of 9% and the second a dividend of 3% and you received a total of $1047. This year the fund paid a 10% dividend and the second of 1%, and you received a total of $846. How much money did you invest in each fund?

Tickets for the play cost $4.50 for adults and $3.00 for kids. If one hundered people attended and $360 was collected from ticket sales, how many adult tickets were sold?

A total of 753 tickets were sold for the school play. There were 53 more student tickets sold than adult tickets. How many adult tickets were sold?

Suppose that y varies directly with x and inversely with z y = 25 when x = 35, and z = 7. Write the equation that models the relationship. Then find y when x = 12 and z = 4

The cost, in millions of dollars, to remove x% of pollution in a lake modeled by c = 6,000/2002x. What is the cost to remove 75% of the pollutant?

does the equation have a slope?does it have a y intercept ?is it in the form of y = mx + b?

A total of tickets were sold for the school play. The number of student tickets sold was two times the number of adult tickets sold . How many adult tickets were sold

A total of 228 tickets were sold for the school play. The number of student tickets sold was two times the number of adult tickets sold . How many adult tickets were sold

Describe two reallife examples where rational expressions are used on the job

A baseball player hits a baseball at a height of 3 feet. A snapshot of the ball shows that as it crossed over second base it had reached a height of 22 feet. It was caught by the center fielder 380 feet away from home plate at a height of 6 feet. A baseball "diamond" is a square with sides of 90 feet.

llida went to minewaska sate park one day this summer.all of the people at the park were either hiking or bike riding.there were 178 more hikers than bike riders.if there were a tottal of 676 people at the park,how many were hiking and how many were riding their bikes.

The difference f tw numbers is 3. Thier sum is 13. find the numbers.

The difference of two numbers is 3. Thier sum is 13. find the numbers.

In the city of Burbun, people don`t take shots or medicine to prevent diseases because they are poor. When the swine flu wave hit Burbun in 2002, for every 100 people 8 people got the swine flu and 2 died. when the swine flu wave hit Burbun in 2008, for every 80 people 6 people got the swine flu and 2 died.

A farmer grows only sunflowers and flax on his 240 acre farm. This year he wants to plant 80 more acres of sunflowers than flax. How many acres of each crop does the farmer need to plant?

serge and francine have 24 m of fencing to enclose a vegetable garden at the back of their house. Determine the dimensons of the largest rectangle garden they could enclose, using the back of their house as one of the sides of the garden


THe trajectory of a rocket lauched from the top of a cliff can be modeled by a quadratic equation. the rocket reaches a max height of 250 ft at a horizontal distance of 4 ft from cliff. the rocket touches the ground at a horizontal distance of 9 ft from the cliff. determine a quadratic function that models the height h(d) of the rocket at any given distance d ft from cliff.

Rudy must play 12 commercials during his 1hour long show. Each commercial is either 30 seconds or 60 seconds long. If the total time during that hour is 10 minutes, how many commercials of each type does Rudy play?

The length of a new rectangular playing field is 5 yards longer than triple the width. If the perimeter of the rectangular playing field is 378 yards, what are it`s dimensions in yard?

supose you are staring an office cleaning service. you have spent $315 on equipment. to clean the office you use $4 worth of supplies. you charge $25. how many offices must you clean?

Shoes cost $20 a pair and boots cost $60 dollars a pair. Arlene and Jerry spent $8000 and bought 3 times as many boots as shoes. How many of each pair did they buy?

Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchase 8 tickets for $52.75. Write a system of equations to represent the situation

what is the length and width of a frame if the length is 4 inches more than twice the width if the perimeter of the frame is 50 inches?

The nickels and dimes fell on the floor. There were 12 more nickels than dimes, and the total value of the coins was $5.10. How many nickels and how many dimes were on the floor?

at an IMAX theater, the giant rectangular movie screen has a width 26 feet less than its length. if its perimeter is 332 feet, find the lengthand the width of the screen.

A square is 29 inches on one side. What is the perimeter ?

A group of friends decides to buy a vacation house for $210,000, sharing the cost equally. One of the friends has to drop out of the deal. This raises the price for htose remaining in the group by $5000 a piece. How many friends were originally in the deal?

Suppose that y varies jointly with w and x and inversely with z and y = 360 when w = 8, x = 25 and z = 5. Write the equation that models the relationship. Then find y when w = 4, x = 4 and z = 3.

a boat traveled 242 miles downstream and back. The trip downstream took 11 hours. The trip back took 121 hours. What is the speed of the boat in still water? what i the speed of the current?

diophantus lived one sixth og his life in chilhood. one twelth in his youth and one seventh more as a bachelo. Five years after his marriage a son was born who died four years before diophantus at half of diophantus final stage. Waht is the age of diophantus when he died

The sum of two numbers is . One number is times as large as the other. What are the numbers?

is the width of a rectangle with an area of 60 square feet and a length of x feet a linear equation?

A rental car agency charges $16 per day plus 15 cents per mile to rent a certain car. Another agency charges $19 per day plus 9 cents per mile to rent the same car. How many miles will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency? (round your answer to the nearest hundredth of a mile.) express the problems as a system of linear equations and solve using the method of your choice to find the solution of the problem.

Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchase 8 tickets for $52.75

The sum of the digits of a twodigit number is 4. If the order of the digits is reversed, the result is a numberthat exceeds the original number by 18. Find the original number.

AN 18WHEELER IS TRAVELING ONA THE TURNPIKE AT A SPEED THAT IS 8 MILES PER HOUR FASTER THAN A RENTAL TRUCK. DURING THE SAME PERIOD OF THE TIME, THE 18WHEELER TRAVELS 220 MILES, AND THE RENTAL TRUCK TRAVELS ONLY 198 MILES. HOW FAST IS THE RENTAL TRUCK GOING?


The length of a rectangle is 4 less than twice the width. If the perimeter is 244, find the length, width

Spong Bob blew 42 bubbles in June. In December he blew 56 bubbles. Write an equation that gives the number of bubbles, y, in terms of the month, x. Let x=0 correspond to January

a wedding cake measures 2 feet high in the center and the diameter of the bottom tier is 12 inches. What is the slope of the cake?

Coffee worth $2.95 a pound was mixed with coffee worth $3.50 a pound to produce a blend worth $3.30 a pound. How much of each kind of coffee was used to produce 44 pounds of blended coffee?


math problem help: a man`s childhood lasted for 1/6 of his life, he played soccer for the next 1/12 of his life and he marreid adter 1/7 of his life. a daughter was born 5 years after his marriage and the daughter lived 1/2 as many years as her father did. if the man died 4 yers after his daughter did. how old was the man when he died?

A fish swims 12 miles downstream in 2 hours. The fish swims back upstream to the same point, but the trip takes 3 hours. Assume the speed of the current was constant and the fish swam along the same path.

A plane flies 600 miles with a tailwind in 2 hours. It takes the same plane 3 hours to fly 600 miles when flying against the wind. What is the plane`s speed in still air?

A piece of cardboard is twice as long as it iss wide. It is to be made into a box with an open top by cutting 2inch squares from each corner and folding up the sides. Determine a function V that represents the volume of the box. Find the dimensions.

student averages 74 on 6 grades

the width of a rectangular room is 4/7 of its length, x,and its perimeter is y. find the length of the room when perimeter is 4400 cm.

The length of a rectangle exceeds its width by 7 inches, and the area is 30 square inches. What are the length and width of the rectangle?

The length of a rectangle exceeds its width by 7 inches, and the area is 30 squares inches. What are length and width of the rectangle?

Jake is now onequarter of his father`s age and in 7 years his age will be onethird the age of his father How many years old is Jake now?

Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets fo $52.75

Theater sold 480 tickets. Floor seats were 30.00. Balcony seats were 24.00. total amount collected for 480 tickets was 13200. How many seats of each type were sold.

4 divided by 2976 lond division

While on a fourweek hiking trip in the mountains, the Tryon family washed 11 loads of clothes at The Mountain View Laundry. The 20lb capacity washing machine costs $1.50 per load while the 30lb costs $2.50. Their total laundry expense was $20.50. How many loads were laundered in each size washing machine?

Two men travelling at 10 miles per hour

The houses on the north side of Perry Street are consecutive odd numbers. Tom and Voula are nextdoor neighbors and the sum of their house numbers is 524. Find their house numbers.

A rectangular storage container with an open top has a volume of 18 m3. The length of its base is twice its width. Material for the base costs $6 per square meter; material for the sides costs $3 per square meter. Express the cost of materials as a function of the width of the base.

If y varies jointly with x and z, and y=24 when x=3 and z=2, then the value of x when y=6 and z=0.5 is

suppose you invest $1500 in equipment to put pictures on Tshirts. You buy each Tshirt for $3. After you have placed the picture on a shirt you sell it for $20. How many Tshirts must you sell to break even?

An individual wants to use milk and orange juice to increase the amount of calcium and vitamin A in her daily diet. An ounce of milk contains 38 milligrams of calcium and 56 micro grams of vitamin A. An ounce of orange juice contains 5 milligrams of calcium and 60 micro grams of vitamin A. How many ounces of milk and orange juice should she drink each day to provide exactly 550 milligrams of calcium and 1,200 micro grams of vitamin A

Biologists want to set up a station to test alligators in the lake for West Nile Virus. Suppose that the costs for such a station are $3,000 for setup costs and $4.00 to administer each test. Write an equation that gives the total cost (C) to test x animals

Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Write a system of equations to represent this situation.

milk and cream contain different percents of butter fat . How much 3% milk needs to be mixed with how much 15% cream to give you 20L of 6% cream?

Ball drops from 70 meter bridge. What is height of ball to the nearest tenth of a meter exactly 2 seconds after ball is released? how many seconds after ball is released will it hit the ground>?

Ball drops from 70 meter bridge. What is height of ball to the nearest tenth of a meter exactly 2 seconds after ball is released? how many seconds after ball is released will it hit the ground?

a dissoluter or licentious person is called

adissoluter or licentious person is called

THE TOTAL FURNITURE COMPANY MANAFACTURES SMALL TABLES AND CHAIRS. IT COSE $30 TO MAKE EACH TABLE AND $20 TO MAKE EAACH CHAIR. THE AMOUNT AVAILABLE TO PRODUCE ALL THE TABLES AND CHAIRS IN ONE WEEK IS $1400. THEY MUST ALWAYS PRODUCE 4 CHAIRS WITH EACH TABKE.

two coins equal ten cents. One of them is a penny. What is the other coin?

the perimeter of allans fence,P,is 10ft less than 3 times 25

the length of a rectangle is 6 times its width. if the area of the rectangle is 600 ft sq. find its perimeter

the total cost of printing a newspaper consitts of

The length of a rectangle is 2 feet less than three times the width. The area is 40 square feet. Using w as the variable, write the equation that can be used to calculate the width. How would you write this as an equation?