Chapter 11.4, Problem 53HP

To determine

To find if Mei or Tamika is correct or no one is correct.

Answer to Problem 53HP

No one is correct as after solving the expression, we have $x+3$ .

Explanation of Solution

Given:

Expression: $\frac{2x+6}{x+5}÷\frac{2}{x+5}$

Calculation:

Given:

Expression: $\frac{2x+6}{x+5}÷\frac{2}{x+5}$

Solving above expression, we have:

  $\begin{array}{l}\frac{2x+6}{x+5}÷\frac{2}{x+5}\\ =\frac{2\left(x+3\right)}{x+5}\times \frac{x+5}{2}\\ =\frac{2\left(x+3\right)}{1}\times \frac{1}{2}\\ =x+3\end{array}$

Conclusion:

Hence, No one is correct as after solving the expression, we have $x+3$ .