Solve for the variable c in the following equation: 42c−5=7
.(1 point)
Responses
6.7
6.7
8
8
12.6
12.6
11
.(1 point)
Responses
6.7
6.7
8
8
12.6
12.6
11
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To solve for \( c \) in the equation \( 42c - 5 = 7 \), follow these steps:
1. Start with the original equation:
\[
42c - 5 = 7
\]
2. Add 5 to both sides to isolate the term with \( c \):
\[
42c = 7 + 5
\]
\[
42c = 12
\]
3. Now, divide both sides by 42 to solve for \( c \):
\[
c = \frac{12}{42}
\]
4. Simplify the fraction:
\[
c = \frac{2}{7}
\]
Now, we can convert \( \frac{2}{7} \) to decimal form:
\[
c \approx 0.2857
\]
None of the options given (6.7, 8, 12.6, 11) match the solution \( \frac{2}{7} \) or its decimal equivalent approximately 0.2857.
Please double-check the options as the answer computed does not correspond to any provided responses.
1. Start with the original equation:
\[
42c - 5 = 7
\]
2. Add 5 to both sides to isolate the term with \( c \):
\[
42c = 7 + 5
\]
\[
42c = 12
\]
3. Now, divide both sides by 42 to solve for \( c \):
\[
c = \frac{12}{42}
\]
4. Simplify the fraction:
\[
c = \frac{2}{7}
\]
Now, we can convert \( \frac{2}{7} \) to decimal form:
\[
c \approx 0.2857
\]
None of the options given (6.7, 8, 12.6, 11) match the solution \( \frac{2}{7} \) or its decimal equivalent approximately 0.2857.
Please double-check the options as the answer computed does not correspond to any provided responses.
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