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.)
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