When a 49 pound weight is attached to a spring, the spring stretches 7 inches. assume that the length of the spring y varies directly with the weight attached x. write and solve a direct variation equation to find the length of the spring when a 63 pound weight is attached?

Prove that 3: 8 is equivalent to 12: 32.a. use diagrams to support your answer.

Reduce fractions expressing probability to lowest terms. in 3,000 repetitions of an experiment, a random event occurred in 500 cases. the expected probability of this event is?

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.