Hello,

Need help with the following math questions.

1. The pressure exerted by a certain liquid at a given point varies directly as the depth of the point beneath the surface of the liquid. The pressure at 50feet is 23pounds per square inch. What is the pressure at170feet?

The pressure at 170feet is ________pounds per square inch.

2. The stopping distance d of a car after the brakes are applied varies directly as the square of the speed r. If a car traveling 70 mph can stop in 220 ft, how many feet will it take the same car to stop when it is traveling 140mph? It will take _______ ft.

3. If y varies inversely with the square ofx, and yequals=11when xequals=22,find y when xequals=0.2.

Y=

4.Last summer the price of gasoline changed frequently. One station owner noticed that the number of gallons he sold each day seemed to vary inversely with the price per gallon. If he sold2900gallons when the price was $3.90,how many gallons could he expect to sell if the price fell to $3.60?

The station owner could expect to sell approximately___________gallons of gasoline.

5.Every year on EarthDay, a group of volunteers pick up garbage at Hidden Falls Park. The time it takes to clean the beach varies inversely with the number of people picking up garbage. Lastyear, 35 volunteers took 6 hours to clean the park. If 67 volunteers come to pick up garbage thisyear, how long will it take to clean thepark? It will take approximately_______hours.

6.

The weight that can be safely supported by a2- by6-inch support beam varies inversely with its length. A builder finds that a support beam that is 8feet long will support 1000pounds. Find the weight that can be safely supported by a beam that is 20feet long.

The weight that can be safely supported by the beam is_____ lb.

7. The amount of time it takes to fill a whirlpool tub is inversely proportional to the square of the radius of the pipe used to fill it. If a pipe of radius 3.5 inches can fill the tub in 7 minutes, how long will it take the tub to fill if a pipe of radius 5.5 inches isused?

The tub would fill in approximately ______minutes.