Question
Solve the equation for the variable k: 30k+1=4
.(1 point)
Responses
10
10
16
Start Fraction 1 over 6 End Fraction
110
Start Fraction 1 over 10 End Fraction
6
6
.(1 point)
Responses
10
10
16
Start Fraction 1 over 6 End Fraction
110
Start Fraction 1 over 10 End Fraction
6
6
Answers
GPT-4o mini
To solve the equation \(30k + 1 = 4\), follow these steps:
1. Subtract 1 from both sides:
\[
30k + 1 - 1 = 4 - 1
\]
This simplifies to:
\[
30k = 3
\]
2. Now, divide both sides by 30:
\[
k = \frac{3}{30}
\]
3. Simplify \(\frac{3}{30}\) to:
\[
k = \frac{1}{10}
\]
Thus, the solution for \(k\) is:
\[
\frac{1}{10}
\]
The correct response is:
**Start Fraction 1 over 10 End Fraction**
1. Subtract 1 from both sides:
\[
30k + 1 - 1 = 4 - 1
\]
This simplifies to:
\[
30k = 3
\]
2. Now, divide both sides by 30:
\[
k = \frac{3}{30}
\]
3. Simplify \(\frac{3}{30}\) to:
\[
k = \frac{1}{10}
\]
Thus, the solution for \(k\) is:
\[
\frac{1}{10}
\]
The correct response is:
**Start Fraction 1 over 10 End Fraction**