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\\) 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 get from \(\frac{c}{5}+13 = 20\) to \(\frac{c}{5}=7\), we subtract 13 from both sides (since \(20 - 13=7\)). So the missing description is "Subtract 13 from both sides".

Step2: Solve for \(c\) in \(\frac{c}{5}=7\)

To solve for \(c\), we multiply both sides of the equation \(\frac{c}{5}=7\) by 5 (the reciprocal of \(\frac{1}{5}\)). So \(c = 7\times5=35\).

Answer:

The missing description is "Subtract 13 from both sides" and the value of \(c\) is \(35\). So the completed equation steps are: \(\frac{c}{5}=7\) (by subtracting 13 from both sides) and \(c = 35\) (by multiplying both sides by 5, though the operation for the second step here is to solve for \(c\) from \(\frac{c}{5}=7\) which is multiplying by 5, but the first missing operation is subtracting 13 from both sides). The missing term \(c\) is \(35\) and the missing description is "Subtract 13 from both sides".