three postal workers can sort a stack of mail in 30 minutes, 30 minutes, and 60 minutes, respectively. find how long it takes them to sort the mail if all three work together.

it will take about 1/3 of the time (10 minutes)

Step-by-step explanation:

Step-by-step explanation:

t/30+t/30+t/60=1

2t/60+2t/60+t/60=1

5t/60=1

5t=60

t=12 minutes

it would be a on edgenuit y

the diagram below is your final answer

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