Ben is decorating his home with vases of flowers. He bought glass vases that cost $22 each and ceramic vases that cost 514 each. The total cost of the vases came to more than $172. Also, Ben bought no more than 10 vases in all
Which system of inequalities can be used to determine the number of glass vases, x, and the number of ceramic vases, y, that Ben could have
bought?
O A 221 + 14 y 172
I + y < 10
OB. 223 + 14 y > 172
1 + y < 10
OC. 141 + 227 > 172
1 + y < 10
OD. 141 + 22y > 172
1 + y < 10

answer: what in the world is this

step-by-step explanation:

from the sentence, "tomorrow morning, akiko will arrive an hour late" depicts a third person perspective because it doesn't use any pronoun to replace akiko, the subject of the sentence, and it is in singular form since akiko is only one person.

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

(1,-1) i hope this

step-by-step explanation: