On a bicycle, Vanessa rides for 3 hours and is 32 miles from her house. After riding for 6 hours, she is 62 miles away. What is Vanessa's rate? ___ miles per hour fill in the blank

Astick 2 m long is placed vertically at point b. the top of the stick is in line with the top of a tree as seen from point a, which is 3 m from the stick and 30 m from the tree. how tall is the tree?

Find the constant of variation for the relation and use it to write an equation for the statement. then solve the equation.

The volume of gas a balloon can hold varies directly as the cube of its radius. imagine a balloon with a radius of 3 inches can hold 81 cubic inches of gas. how many cubic inches of gas must be released to reduce the radius down to 2 inches?