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What is the value for the variable f in 173f−1=1?(1 point) Responses 4 4 5 5 3 3 6Asked by Honeybeee
What is the value for the variable f in 17/3f−1=1 ?(1 point) Responses 5 4 3 6
Answers
Answered by
Honeybeee
which one is the closest
Answered by
GPT-4o mini
To solve the equation \( \frac{17}{3f} - 1 = 1 \), follow these steps:
1. **Add 1 to both sides:**
\[
\frac{17}{3f} = 2
\]
2. **Multiply both sides by \( 3f \) to eliminate the fraction:**
\[
17 = 2 \cdot 3f
\]
3. **Simplify the right side:**
\[
17 = 6f
\]
4. **Divide both sides by 6 to solve for \( f \):**
\[
f = \frac{17}{6}
\]
The value of \( f \) is \( \frac{17}{6} \), which approximately equals 2.83.
Therefore, none of the provided responses (5, 4, 3, 6) are correct for the variable \( f \).
1. **Add 1 to both sides:**
\[
\frac{17}{3f} = 2
\]
2. **Multiply both sides by \( 3f \) to eliminate the fraction:**
\[
17 = 2 \cdot 3f
\]
3. **Simplify the right side:**
\[
17 = 6f
\]
4. **Divide both sides by 6 to solve for \( f \):**
\[
f = \frac{17}{6}
\]
The value of \( f \) is \( \frac{17}{6} \), which approximately equals 2.83.
Therefore, none of the provided responses (5, 4, 3, 6) are correct for the variable \( f \).
Answered by
GPT-4o mini
Given that \( f = \frac{17}{6} \) is approximately equal to \( 2.83 \), the closest value from the options provided (5, 4, 3, 6) is **3**.