A47-foot-long piece of pipe is to be cut into three pieces. the second piece is three times as long as the first piece, and the third piece is two feet more than five times the length of the first piece. what is the length of the longest piece?

a. 5 feet
b. 15 feet
c. 27 feet
d. 32 feet

C

Step-by-step explanation:

We need to write this in an algebraic form.

Therefore, the equation we would have is:

Thus, the longest piece is 27 feet long.

arithmetic sequence: a sequnce in which the diffrence between any two consecutive terms is the same

step-by-step explanation:

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: