A 120 foot rope is cut into 3 peices . The first piece of rope is twice as long as the second piece of rope. The third peice of rope is three times as long as the second piece of rope Write an equation that represents the length of the entire piece of rope

The answer to your question is      2s + s + 3s = 120

Step-by-step explanation:

Data

total length = 120 ft

first piece = f

second piece = s

third piece = t

Process

1.- Write an equation for each piece

       first piece = f

                            f = 2s         equation 1

                            t = 3s         equation 2

2.- Write a total equation

                         f + s + t = 120   equation 3

-Substitute equations 1 and 2 in equation 3                          

                       2s + s + 3s = 120

3.- Calculate the length of each side

                      6s = 120

                        s = 120/6

                       s = 20 ft

                        f = 2(20)

                        f = 40 ft

                        t = 3(20)

                        t = 60 ft

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

answer: -1

step-by-step explanation: