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

Question

Responses

10
10

16
Start Fraction 1 over 6 End Fraction

6
6

110

Answer 1

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

1. First, isolate the fraction by subtracting 1 from both sides: \[ \frac{30}{k} = 4 - 1 \] \[ \frac{30}{k} = 3 \]

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

3. Now, divide both sides by 3 to solve for \( k \): \[ k = \frac{30}{3} \] \[ k = 10 \]

Thus, the solution for \( k \) is \( 10 \).