A metal rod 9.4 meters long is cut into two pieces.One piece is 3 times as long as the other.Find the length of the longer piece

Question

3 years ago

15

in meters.Round your answer to the nearest tenth of a meter

1 answer:

Anna007 [38] · Answer 1 · 2022-09-19T08:03:13+03:00

Answer: the length of the longer piece is 7.2 meters

Step-by-step explanation:

Let x represent the length of one piece of the metal rod.

Let y represent the length of the other(longer) piece of metal rod.

A metal rod 9.4 meters long is cut into two pieces. This means that

x + y = 9.4 - - - - - - - - - - - - - -1

One piece is 3 times as long as the other. This means that

y = 3x

Substituting y = 3x into equation 1, it becomes

x + 3x = 9.4

4x = 9.4

x = 9.4/4 = 2.4 to the nearest tenth.

Substituting x = 2.4 into y = 3x, it becomes

y = 3 × 2.4

y = 7.2