HH Co. uses corrugated cardboard to ship its product to customers. Currently, the company’s returns department incurs annual overhead costs of $72,000 and forecasts 2,000 returns per year. Management believes it has a found a better way to package its products. As a result, the company expects to reduce the number of shipments that are returned due to damage by 5%. In addition, the initiative is expected to reduce the department’s annual overhead by $12,000. Compute the returns department’s standard overhead rate per return (a) before the sustainability improvement and (b) after the sustainability improvement.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2