Question

Solve the equation for the variable k: 30/k+1=4.(1 point)
Responses

A) 1/6
Start Fraction 1 over 6 End Fraction

B) 6

C) 1/10
Start Fraction 1 over 10 End Fraction

D) 10

Answer 1

To solve the equation \( \frac{30}{k} + 1 = 4 \), we can follow these steps:

1. Subtract 1 from both sides:
\[
\frac{30}{k} = 4 - 1
\]
\[
\frac{30}{k} = 3
\]

2. Multiply both sides by \( k \) to eliminate the fraction:
\[
30 = 3k
\]

3. Divide both sides by 3:
\[
k = \frac{30}{3}
\]
\[
k = 10
\]

Thus, the solution for \( k \) is:

**D) 10**