Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10
Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14
Answer:
what do you want me to do subtraction, addition, multiplication or division?
Step-by-step explanation:
The total area painted was 480 inches. 4 cubed is 64, 8 cubed 512. 512 +64= 576. Then you subtract two sides of the 4 inch square because the bottom is not painted and one side is pushed against the 8 inch cube. That means 576-32= 544. Then you subtract the bottom of the 8 inch cube, which means 544-64= 480.
Alright! First you'd subtract the amount of the part ($44) from your total ($179), then you'd divide by the rate of cost ($45). Your equation would be:
($179 - $44) ÷ $45 = h.
Then you solve:
($179 - $44) = $135
($135 ÷ $45) = 3
h = 3.
The answer is 3 hours.
