30 + -30 = 0 a. Complete the sum so that the two numbers equal O.
+ 589
b. Complete the sum so that the three numbers equal O.
-589
- 89
c. Complete the sum so that the four numbers equal O and none of the numbers are opposites,
-589+
- 90 + (-1)
(Lesson 5-3)

it would take 7/10 of an hour too fill the pool.

step-by-step explanation:

40 x 50 = 2000

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

step by step explanation: when u removing the parentheses and combined them that would be : x+3y-x-y=2y