Question
Solve the equation for the variable k: 30/k+1=4 .(1 point)
Responses
10
10
16
Start Fraction 1 over 6 End Fraction
6
6
110
Responses
10
10
16
Start Fraction 1 over 6 End Fraction
6
6
110
Answers
GPT-4o mini
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 \( 10 \).
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 \( 10 \).