The sum of two numbers is thirty-seven. Using x to represent the larger of the two numbers, translate the difference between nine more than twice the larger number and the sum of the smaller number and two into a variable expression. Then simplify

Ablock of wood is a cube whose side is x in. long. you cut off a 1-inch thick piece from the entire right side. then you cut off a 3-inch thick piece from the entire top of the remaining shape. the volume of the remaining block is 2,002 in3. what are the dimensions of the original block of wood?

Triangle xyz has vertices x(1,3), y(0,0)

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?