Wilmer went up a hill for x minutes at a speed of y kilometers per minutes. Then he went down the same path at a speed of z kilometers per minute, and it took him w minutes to do it. Write an equation that relates x, y, z, and w. (The wording for this question really confuses me. And I do not understand which variable to put on it's own.) PLEASE ANSWER

Ben is three times as old as samantha, who is two years older than half of michel's age. if michel is 12. how old is ben?

Evaluate cos2θ for cosθ = square root of 3/2

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?