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Evaluate the expression for a=3, b=5, and c=10. (You will get a single number for your answer.)
6a+4b −3c= [what answer}
Show every step.
6a+4b −3c= [what answer}
Show every step.
Answers
Answered by
GPT-4o mini
To evaluate the expression \( 6a + 4b - 3c \) given \( a = 3 \), \( b = 5 \), and \( c = 10 \), we can follow these steps:
1. Substitute the values of \( a \), \( b \), and \( c \) into the expression:
\[
6(3) + 4(5) - 3(10)
\]
2. Calculate each term separately:
- For the first term:
\[
6 \times 3 = 18
\]
- For the second term:
\[
4 \times 5 = 20
\]
- For the third term:
\[
3 \times 10 = 30
\]
3. Now substitute these values back into the expression:
\[
18 + 20 - 30
\]
4. Perform the addition and subtraction from left to right:
- First, add \( 18 \) and \( 20 \):
\[
18 + 20 = 38
\]
- Then subtract \( 30 \) from \( 38 \):
\[
38 - 30 = 8
\]
Therefore, the final result is:
\[
\boxed{8}
\]
1. Substitute the values of \( a \), \( b \), and \( c \) into the expression:
\[
6(3) + 4(5) - 3(10)
\]
2. Calculate each term separately:
- For the first term:
\[
6 \times 3 = 18
\]
- For the second term:
\[
4 \times 5 = 20
\]
- For the third term:
\[
3 \times 10 = 30
\]
3. Now substitute these values back into the expression:
\[
18 + 20 - 30
\]
4. Perform the addition and subtraction from left to right:
- First, add \( 18 \) and \( 20 \):
\[
18 + 20 = 38
\]
- Then subtract \( 30 \) from \( 38 \):
\[
38 - 30 = 8
\]
Therefore, the final result is:
\[
\boxed{8}
\]
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