Hannah is giving her sister a softball for her birthday, and wants to put it in a cubic gift box to preserve the surprise. She will fill the empty space in the box with packing peanuts so that the softball doesn’t roll around. If the volume of the softball is 29 cubic inches, which equation models the relationship between the length of each side of the box (s) and the amount of empty space inside? Justify your answer in paragraph form. *

the answer is 844

step-by-step explanation:

it is 844 because if you add 836.50 + 7.5 you will get 844

where are the choices?

y -5 = (-1/4)(x + 8)

step-by-step explanation:

hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.