Ross wants to cut a 40-foot rope into two pieces so that the length of the first piece divided by the length of the second piece is 2.

a. Let x represent the length of the first piece. Write an equation that represents the relationship between the pieces as stated above.

b. What values of x are not permissible in this equation? Describe within the context of the problem what situation is occurring if x were to equal this value (s). Rewrite as a system of equations to exclude the value (s).

c. Solve the equation to obtain the lengths of the two pieces of rope. (Round to the nearest tenth if necessary.)

Question

Alexis Pruitt

Mathematics

19 February, 12:04

Ross wants to cut a 40-foot rope into two pieces so that the length of the first piece divided by the length of the second piece is 2.

a. Let x represent the length of the first piece. Write an equation that represents the relationship between the pieces as stated above.

b. What values of x are not permissible in this equation? Describe within the context of the problem what situation is occurring if x were to equal this value (s). Rewrite as a system of equations to exclude the value (s).

c. Solve the equation to obtain the lengths of the two pieces of rope. (Round to the nearest tenth if necessary.)

+3

Answers (1)

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Travis Hanson · Answer 1

Answer and Step-by-step explanation:

40-foot

two pieces = length of the first piece divided by the length of the second piece is 2.

a. first piece: x

second piece: y

x/y = 2 ∴ x = 2y

b. y = 0 ∴ x = 0

If he divides the rope, we have x and y ≠ 0.

c. x+y = 40

x = 2y

2y + y = 40

3y = 40

y = 40/3

y = 13.3