Bot GPT 4-o mini To solve the equation \( 2f5 - 85 + 2f = 8 \), let's first clarify the equation because it seems like \( f5 \) is not standard notation. Assuming it means \( 5f \), we rewrite the equation as:
\[ 2(5f) - 85 + 2f = 8 \]
which simplifies to:
\[ 10f - 85 + 2f = 8 \]
Now, we combine like terms:
\[ 12f - 85 = 8 \]
Next, we isolate \( f \) step by step:
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Add 85 to both sides:
\[ 12f = 8 + 85 \]
\[ 12f = 93 \]
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Divide both sides by 12:
\[ f = \frac{93}{12} \]
Simplifying \( \frac{93}{12} \):
- The greatest common divisor (GCD) of 93 and 12 is 3.
\[ f = \frac{93 \div 3}{12 \div 3} = \frac{31}{4} \]
This fraction is equivalent to \( 7.75 \).
However, let's see if any of the response options fit:
- \( \frac{16}{6} = \frac{8}{3} \) is not equal to \( \frac{31}{4} \).
- The rest of the responses do not match either.
Ultimately, the correct answer \( f = \frac{31}{4} \) isn't listed in the multiple-choice answers provided.
If however, you meant something else or if there is a consistent error in the responses then do let me know so I can assist you further.
1 answer