Question
Variable Expressions in Denominators Quick Check
4 of 54 of 5 Items
Question
Solve the equation for the variable k: 30k+1=4
.(1 point)
Responses
110
Start Fraction 1 over 10 End Fraction
6
6
16
Start Fraction 1 over 6 End Fraction
10
4 of 54 of 5 Items
Question
Solve the equation for the variable k: 30k+1=4
.(1 point)
Responses
110
Start Fraction 1 over 10 End Fraction
6
6
16
Start Fraction 1 over 6 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 of the equation:
\[
30k + 1 - 1 = 4 - 1
\]
This simplifies to:
\[
30k = 3
\]
2. Now, divide both sides by 30:
\[
k = \frac{3}{30}
\]
3. Simplify \(\frac{3}{30}\):
\[
k = \frac{1}{10}
\]
The solution for the variable \(k\) is:
\[
\boxed{\frac{1}{10}}
\]
So the correct response from the options you provided would be "Start Fraction 1 over 10 End Fraction."
1. Subtract 1 from both sides of the equation:
\[
30k + 1 - 1 = 4 - 1
\]
This simplifies to:
\[
30k = 3
\]
2. Now, divide both sides by 30:
\[
k = \frac{3}{30}
\]
3. Simplify \(\frac{3}{30}\):
\[
k = \frac{1}{10}
\]
The solution for the variable \(k\) is:
\[
\boxed{\frac{1}{10}}
\]
So the correct response from the options you provided would be "Start Fraction 1 over 10 End Fraction."