Sarah went to the grocery store and bought 4 loaves of bread and 1 gallon of milk for $12. The next week, Sarah bought 2 loaves of bread and 3 gallons of milk for $13.50. Which system of equations below can be used to determine the cost of one loaf of bread (b) and one gallon of milk (m)? A.
4m × b = $12
2m × 3b = $13.50
B.
4m + b = $12
2m + 3b = $13.50
C.
4b + m = $12
2b + 3m = $13.50
D.
4b × m = $12
2b × 3m = $13.50

answer: it's d

step-by-step explanation:

1/8 3/16 3/4

step-by-step explanation:

you put them as all the same denominator and multiply

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

i believe it’s 165 because if u add 137 and 58 u get 195 and then subtract that from 360 and there’s ur answer