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

Responses

1/6
Start Fraction 1 over 6 End Fraction

1/10
Start Fraction 1 over 10 End Fraction

6
6

10

1 answer

To solve the equation \( \frac{30}{k} + 1 = 4 \), we can start by isolating the term with \( k \).

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

  2. Now, multiply both sides by \( k \): \[ 30 = 3k \]

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

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

The correct answer is: 10