Question

select the correct answer. solve for p. \\(\frac{2p - 29}{4} = 4\\) \\(\bigcirc\\) a. \\(p = -\frac{13}{2}\\) \\(\bigcirc\\) b. \\(p = \frac{35}{2}\\) \\(\bigcirc\\) c. \\(p = \frac{45}{2}\\) \\(\bigcirc\\) d. \\(p = 66\\)

Explanation:

Step1: Multiply both sides by 4

To eliminate the denominator, multiply each side of the equation \(\frac{2p - 29}{4}=4\) by 4.
\(4\times\frac{2p - 29}{4}=4\times4\)
Simplifying gives \(2p - 29 = 16\).

Step2: Add 29 to both sides

Add 29 to each side to isolate the term with \(p\).
\(2p - 29 + 29 = 16 + 29\)
Simplifying gives \(2p = 45\).

Step3: Divide by 2

Divide each side by 2 to solve for \(p\).
\(\frac{2p}{2}=\frac{45}{2}\)
Simplifying gives \(p=\frac{45}{2}\).

Answer:

C. \( p = \frac{45}{2} \)