Question

complete the process of solving the equation. fill in the missing term and select the missing description. simplify any fractions. \\(\frac{c}{5} + 13 = 20\\) \\(\frac{c}{5} = 7\\) \\(c = \square\\) options: add 13 to both sides, subtract 13 from both sides, multiply both sides by 13, divide both sides by 13, apply the distributive property

Explanation:

Step1: Determine the operation for \(\frac{c}{5}=7\)

To solve for \(c\) when \(\frac{c}{5} = 7\), we need to isolate \(c\). Since \(c\) is divided by 5, we multiply both sides by 5. Wait, first, let's check the step from \(\frac{c}{5}+13 = 20\) to \(\frac{c}{5}=7\). To get from \(\frac{c}{5}+13\) to \(\frac{c}{5}\), we subtract 13 from both sides (because \(13 - 13 = 0\)). So the missing description for that step is "Subtract 13 from both sides". Then, for \(\frac{c}{5}=7\) to \(c=\)?, we multiply both sides by 5. So \(c=7\times5 = 35\).

Step2: Solve for \(c\)

Given \(\frac{c}{5}=7\), multiply both sides by 5: \(c = 7\times5=35\).

Answer:

The missing description is "Subtract 13 from both sides" and the value of \(c\) is \(35\). So for the dropdown, select "Subtract 13 from both sides" and \(c = 35\).