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