Find two positive integers such that the sum of the first number and four times the second number is 1000 and the product of the numbers is as large as possible

The height of a triangle is 4 in. greater than twice its base. the area of the triangle is no more than 168 in.^2. which inequalitycan be used to find the possible lengths, x, of the base of the triangle?

Fredrick designed an experiment in which he spun a spinner 20 times and recorded the results of each spin

Determine the volume of a cylinder bucket if the diameter is 8.5 in. and the height is 11.5 in.