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

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."

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