The following day Cory returned to the store to purchase some more socks at $1.25 per pair. He had $40 to spend. When he arrived at the store, the shoes were on sale for 1/4 off. Write and solve an inequality to show the greatest amouThe following day Cory returned to the store to purchase some more socks at $1.25 per pair. He had $40 to spend. When he arrived at the store, the shoes were on sale for 1/4 off. Write and solve an inequality to show the greatest amount of pairs of socks Cory can purchase if he purchases another pair of shoes in addition to the socks?nt of pairs of socks Cory can purchase if he purchases another pair of shoes in addition to the socks?

y = x + 95

y = 42 + 95

y=137 mm hg

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58

something over 10 so ? /10

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