Using the properties of equality, find the solution to the equation 2f5−85+2f=8 .(1 point)

Responses

83
Start Fraction 8 over 3 End Fraction

12
12

4
4

166

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To solve the equation \( 2f5 - 85 + 2f = 8 \), first, let's rewrite it in a clearer form. We should recognize that \( f5 \) might just be a representation of a multiplication (e.g., \( f \cdot 5 \)).

So, let's rewrite the equation as follows:

\[ 2 \cdot 5f - 85 + 2f = 8. \]

Now, simplifying it:

1. \( 10f - 85 + 2f = 8 \)
2. Combine like terms: \( 10f + 2f = 12f \)

This gives us:

\[ 12f - 85 = 8. \]

Next, we'll solve for \( f \):

3. Add 85 to both sides:

\[ 12f = 8 + 85 \]
\[ 12f = 93. \]

4. Now, divide both sides by 12:

\[ f = \frac{93}{12}. \]

5. Simplify the fraction:

\[ f = \frac{31}{4} = 7.75. \]

Now let's check your given options for a match. The calculations seem more straightforward, but if we were to match:

- **83**
- **Start Fraction 8 over 3 End Fraction** (which is approximately 2.67)
- **12**
- **4**
- **166**

None of the provided choices seem to match \( 7.75 \) or \( \frac{31}{4} \).

Based on the solutions offered, it seems like there was possibly a misinterpretation in terms of the variables or the exact form of the equation as typed. If you want exact matches based on the equation provided, you'd want to check back on any potential misunderstandings of symbols or numerical constants included.

If the equation stands valid as is, none from your options are equivalent to \( f = 7.75 \) or \( \frac{31}{4} \).

Please clarify if the equation or notations were intended differently!