Algebra 1 mauro has 140 ft of rope. he will cut it into two pieces so that the length of the longer piece is 3 times the length of the shorter piece. what will the length of the longer piece be?

105

Work Shown:

x = length of shorter piece, 3x = length of longer piece

x+3x = 140

4x = 140

4x/4 = 140/4

x = 35

3*x = 3*35 = 105

So the longer piece is 105 feet long (shorter piece is 35 ft).

Note how 35+105 = 140 which helps confirm the answer.

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation:

step-by-step explanation: