With the wind, a cyclist rode 24 miles in three hours. She returned in twelve hours against the wind. Find the rate of the boat in calm water and the rate of the wind

James was playing a game with his friends. he won 35 points. then he lost 15, lost 40 and won 55. how did he come out

Suppose that the price p, in dollars, and the number of sales, x, of a certain item follow the equation 4 p plus 4 x plus 2 pxequals56. suppose also that p and x are both functions of time, measured in days. find the rate at which x is changing when xequals2, pequals6, and startfraction dp over dt endfraction equals1.5.

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?