91Ó°ÊÓ

What is the length of the side of a square if its area and perimeter are numerically equal?

Solve each inequality. Give the solution set using interval notation. $$|3 x-4|<2$$

Wind Speed Joe traveled against the wind in a small plane for 3 hr. The return trip with the wind took 2.8 hr. Find the speed of the wind if the speed of the plane in still air is \(180 \mathrm{mph}\)

A rectangle has an area that is numerically twice its perimeter. If the length is twice the width, what are its dimensions?

A can of Blue Runner Red Kidney Beans has surface area \(371 \mathrm{cm}^{2}\). Its height is \(12 \mathrm{cm} .\) What is the radius of the circular top? Round to the nearest hundredth.

A sewage treatment plant has two inlet pipes to its settling pond. One pipe can fill the pond 3 times as fast as the other pipe, and together they can fill the pond in 12 hr. How long will it take the faster pipe to fill the pond alone?

Alcohol Mixture Beau Glaser wishes to strengthen a mixture from \(10 \%\) alcohol to \(30 \%\) alcohol. How much pure alcohol should be added to \(7 \mathrm{L}\) of the \(10 \%\) mixture?

With both taps open, Robert can fill his kitchen sink in 5 min. When full, the sink drains in 10 min. How long will it take to fill the sink if Robert forgets to put in the stopper?

Saline Solution How much water should be added to \(8 \mathrm{mL}\) of \(6 \%\) saline solution to reduce the concentration to \(4 \% ?\)

Tanner Jones and Sheldon Furst have received communications receivers for Christmas. If they leave from the same point at the same time, Tanner walking north at \(2.5 \mathrm{mph}\) and Sheldon walking east at \(3 \mathrm{mph}\), how long will they be able to talk to each other if the range of the communications receivers is 4 mi? Round your answer to the nearest minute.