Mathematics word problems, algebra homework help

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Mathematics word problems, algebra homework help

1. Sam borrowed $400 from her brother for book. She agreed to pay him in 6 months with simple annual interest 6.8%.

This simple interest is __

The final balance is__

2. Convert too Celsius. Use the formal

C=5/9*(F-32).

41° f

3. A driver averaged 47 miles per hour and took 5 hours to travel two cities.

What is the distance between the two cities __ miles?

4. A rectangle has a width of 43 centimeters and perimeter of 190 centimeters. What is the rectangle’s length?

The length is __cm.

5. How many gallons of a 60% antifreeze solution must be mixed with 80 gallons of 30% antifreeze to get a mixture that is 50% antifreeze?

You need __ gallons

6. How many quarts of pure antifreeze must be added to 5 quarts of a 10%

antifreeze solution to obtain a 30% antifreeze solution?

__quart(s) of pure antifreeze must be added.

7. Ralph Chase plans to sell a piece of property for $170000. He wants the money to be paid off in two ways−a short-term note at 10% interest and a long-term note at 8% interest. Find the amount of each note if the total annual interest paid is $15500.

The amount of the 10% note is____

and the amount of the 8% note is ___

8. In planning her retirement, Liza deposits some money at 4% interest, with twice as much deposited at 5%. Find the amount deposited at each rate if the total annual interest income is $1400.

She deposited $____ at 4% and $___at 5%.

9. Cynthia Besch wants to buy a rug for a room that is 22 ft wide and 29 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy

294 square feet of carpeting. What dimensions should the rug have?

The dimensions of the rug should be __ft.

10 .A can of beans has surface area 372 cm Its height is 10 cm. What is the radius of the circular top?

The radius of the circular top is ___cm

11 . A square lawn has area 162 ft2. A sprinkler placed at the center of the lawn sprays water in a circular pattern that just covers the lawn. What is the radius of the circle?

The radius of the circle is __ft.

12. A building is 1ft from a 9-ft fence that surrounds the property. A worker wants to wash a window in the building 12 ft from the ground. He plans to place a ladder over the fence so it rests against the building. He decides he should place the ladder 9 ft from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need?

He will need a ___ft ladder.

13. A ball is thrown upward with an initial velocity of 96 ft/sec from a height 640ft. Its height s, in feet, after t seconds is given by s=-16t+96t+640. After how long will the ball reach the ground?

The ball will reach the ground in ___seconds.

14. A projectile is fired straight up from ground level. After t seconds, its height above the ground is s feet, where

S=16t2+144t.

For what time period is the projectile at least 288 feet above the ground?

The projectile will be at least 288 feet above the ground beginning at ___seconds and ending at __seconds.