Question

1. solve the equation for n.

4n + m = 7q
the equation is
□ $n = \frac{7q + m}{4}$.
□ $n = \frac{7q - m}{4}$.
□ $n = 4(7q + m)$.
□ $n = 4(7q - m)$.

1. the volume of a cylinder is giv

by the formula $v = \pi r^2 h$, whe
r and h are as identified in the

Explanation:

Step1: Isolate the term with n

Subtract \( m \) from both sides of the equation \( 4n + m = 7q \).
\( 4n + m - m = 7q - m \)
Simplifying, we get \( 4n = 7q - m \).

Step2: Solve for n

Divide both sides of the equation \( 4n = 7q - m \) by 4.
\( \frac{4n}{4} = \frac{7q - m}{4} \)
Simplifying, we get \( n = \frac{7q - m}{4} \).

Answer:

\( n = \frac{7q - m}{4} \) (the second option: \( n=\frac{7q - m}{4} \))