Aroll of paper towels is 12 inches high and 8 inches in diameter .the cardboard tube in the center of the roll has the same height as the paper towels and has a diameter of 2.5 inches .estimate the volume of paper towels on the roll .use 3.14 for pi.

Find the sum of 4x^{2} -4+6 and -7^{2} +3x+1

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

If a || b and b | y, then ? a) x || y. b) x | a. c) a | y. d) a || y.