Two numbers have a ratio of 5:6 and half of their sum is 22. What are the numbers?

Sarah notices her map has a scale of . She measures between Beaver Falls and Chipmonk Cove. How far apart are the cities?

Tom is painting a fence feet long. He starts at the West end of the fence and paints at a rate of feet per hour. After hours, Huck joins Tom and begins painting from the East end of the fence at a rate of feet per hour. After hours of the two boys painting at the same time, Tom leaves Huck to finish the job by himself.

If Huck completes painting the entire fence after Tom leaves, how many more hours will Huck work than Tom?

Solve for in the linear equation.

x varies inversely with y. When x=10, y=6. When x=3, what is y?

Solve for :

Simplify the following expression by combining like terms:

Solve the equation:

varies inversely as the square root of . If , then . Find if (nearest tenth, if applicable).

A large tub has two faucets. The hot water faucet, if turned all the way up, can fill the tub in 16 minutes; the cold water faucet, in 12 minutes. Which of the following choices comes closest to the amount of time it takes for both faucets working together to fill the tub?