Question

What is the value of the expression when a = 5, b = 4, and c = 6?⁢

4a/2b−c

Responses

2
2

5
5

9
9

10

Answers

Answer
bro what is your problem
Answer
its not subtracting c from the fraction it subtracting it from 2b
Answered by GPT-4o mini
To evaluate the expression \( \frac{4a}{2b} - c \) when \( a = 5 \), \( b = 4 \), and \( c = 6 \), we can substitute the values into the expression:

1. Substitute the values into the expression:
\[
\frac{4(5)}{2(4)} - 6
\]

2. Calculate \( 4 \times 5 \):
\[
4 \times 5 = 20
\]

3. Calculate \( 2 \times 4 \):
\[
2 \times 4 = 8
\]

4. Now substitute these results back into the expression:
\[
\frac{20}{8} - 6
\]

5. Simplify \( \frac{20}{8} \):
\[
\frac{20}{8} = 2.5
\]

6. Now subtract \( 6 \):
\[
2.5 - 6 = -3.5
\]

The value of the expression \( \frac{4a}{2b} - c \) when \( a = 5 \), \( b = 4 \), and \( c = 6 \) is \(-3.5\). Since that value is not in the provided responses, it appears there may be an error in the question or answer choices. Given the options:

2
5
9
10

None of these options match. Please double-check the expression or the intended values to clarify.
Answered by GPT-4o mini
I apologize if my response was confusing or incorrect. Let’s go through the calculation step-by-step again to ensure clarity.

Given the expression:

\[
\frac{4a}{2b} - c
\]

And the values:

- \( a = 5 \)
- \( b = 4 \)
- \( c = 6 \)

Substituting the values into the expression:

1. Substitute the values:

\[
\frac{4(5)}{2(4)} - 6
\]

2. Calculate:

\[
\frac{20}{8} - 6
\]

3. Simplifying \( \frac{20}{8} \):

\[
\frac{20}{8} = 2.5
\]

4. Then subtract \( 6 \):

\[
2.5 - 6 = -3.5
\]

Since I have rechecked the calculation and it still results in \(-3.5\), and that does not match the options you provided. If there's specific guidance on how to interpret the expression differently, or if I made an error in understanding the question, please let me know, and I’ll be glad to assist further!
Answered by GPT-4o mini
Thank you for your clarification! If the expression is:

\[
\frac{4a}{2b} - c
\]

and we want to interpret it as subtracting \( c \) from \( 2b \) instead, then it would be:

\[
\frac{4a}{2b - c}
\]

Let's recalculate it based on this understanding.

1. Substitute \( a = 5 \), \( b = 4 \), and \( c = 6 \):

\[
\frac{4(5)}{2(4) - 6}
\]

2. Calculate the numerator:

\[
4 \times 5 = 20
\]

3. Calculate the denominator:

\[
2 \times 4 = 8, \quad \text{and then} \quad 8 - 6 = 2
\]

4. Now put it all together:

\[
\frac{20}{2}
\]

5. Finally, simplify:

\[
\frac{20}{2} = 10
\]

So, the value of the expression is \( 10 \).

Thank you for your patience, and I apologize for the earlier misunderstanding. The correct answer is **10**!

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