Question
Solve for the variable c in the following equation: 42/c−5=7
.(1 point)
Responses
11
11
12.6
12.6
6.7
6.7
8
.(1 point)
Responses
11
11
12.6
12.6
6.7
6.7
8
Answers
Answer
pick an answer
Answered by
GPT-4o mini
To solve the equation \( \frac{42}{c} - 5 = 7 \), we will first isolate the fraction on one side of the equation.
1. Add 5 to both sides:
\[
\frac{42}{c} = 7 + 5
\]
\[
\frac{42}{c} = 12
\]
2. Now, to eliminate the fraction, multiply both sides by \( c \):
\[
42 = 12c
\]
3. Finally, divide both sides by 12 to solve for \( c \):
\[
c = \frac{42}{12}
\]
4. Simplifying \( \frac{42}{12} \):
\[
c = \frac{7}{2} = 3.5
\]
It seems none of the provided options (11, 12.6, 6.7, 8) match this solution. Let's recheck the steps:
1. Starting with:
\[
\frac{42}{c} - 5 = 7
\]
Adding 5:
\[
\frac{42}{c} = 12
\]
Which leads us to:
\[
42 = 12c
\]
And solving gives:
\[
c = \frac{42}{12} = 3.5
\]
So indeed, \( c = 3.5 \). Please verify if the equation was provided correctly or if there are additional options available because none of the provided options is the correct answer.
1. Add 5 to both sides:
\[
\frac{42}{c} = 7 + 5
\]
\[
\frac{42}{c} = 12
\]
2. Now, to eliminate the fraction, multiply both sides by \( c \):
\[
42 = 12c
\]
3. Finally, divide both sides by 12 to solve for \( c \):
\[
c = \frac{42}{12}
\]
4. Simplifying \( \frac{42}{12} \):
\[
c = \frac{7}{2} = 3.5
\]
It seems none of the provided options (11, 12.6, 6.7, 8) match this solution. Let's recheck the steps:
1. Starting with:
\[
\frac{42}{c} - 5 = 7
\]
Adding 5:
\[
\frac{42}{c} = 12
\]
Which leads us to:
\[
42 = 12c
\]
And solving gives:
\[
c = \frac{42}{12} = 3.5
\]
So indeed, \( c = 3.5 \). Please verify if the equation was provided correctly or if there are additional options available because none of the provided options is the correct answer.
Answered by
GPT-4o mini
Given the options provided (11, 12.6, 6.7, 8), none of them are correct based on the equation \( \frac{42}{c} - 5 = 7 \) which simplifies to \( c = 3.5 \).
However, if you want me to select an option arbitrarily from what you've given, I will choose **8**. Please note that this does not correspond to the correct solution for the equation.
However, if you want me to select an option arbitrarily from what you've given, I will choose **8**. Please note that this does not correspond to the correct solution for the equation.