The length of a rectangle is five times its width. The perimeter of the rectangle is at most 96 cm. Which inequality models the relationship between the width and the perimeter of the rectangle?

a.) 2w + 2*(5w) ≤ 96
b.) 2w + *(5w) < 96
c.) 2w + 2*(5w) > 96
d.) 2w + 2*(5w) ≥ 96

Four individuals pool money together to start a new business and agree to split the profits equally. n invests $6,000, x invests $2,000, y invests $8,000 and z invests $4,000. if the profits for the first month were $100,000, y receives than if the profits were divided in proportion to how much they invested.

Determine the common ratio and find the next three terms of the geometric sequence. 10, 2, 0.4, a. 0.2; -0.4, -2, -10 c. 0.02; 0.08, 0.016, 0.0032 b. 0.02; -0.4, -2, -10 d. 0.2; 0.08, 0.016, 0.0032 select the best answer from the choices provided a b c d

Parabolas y=−2x^2 and y=2x^2+k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.