PLEASE HELP! IT WILL MAKE MY DAY! BRAINLIEST IF CORRECT! For questions 1 - 2, determine the most important variable in the problem.

1. An auto shop has 98 cans of oil at the beginning of the day. 12 hours later, there are 10 cans remaining. How many were sold?
2. A bag holds 25 potatoes. If the potatoes in the bag are split among 5 people, how many potatoes does each person get?

1) 882) 5

Step-by-step explanation:

1) 98 - 10 = 88 cans

2) 25/5 = 5 potatoes each person gets

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt