Write and expression that represents the difference of 32 and n , multiplied by 10

10(32 - n)

Step-by-step explanation:

This is a beginning algebra question. It is trying to find out if you know what a difference is.

A difference always means subtract in math. Always. There are no exceptions.

So the difference between 32 and n is 32 - n

This difference is multiplied by 10

10(32 - n)

Usually the number mentioned first is the number put to the left of the subtract sign.

If you tell me the answer is 10(n - 32) then you should say that it is the difference between n and 32.

12*c

step-by-step explanation:

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