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 166 Start Fraction 16 over 6 End Fraction 12 12 4

Answer 1

To solve the equation \( 2f5 - 85 + 2f = 8 \), we first need to clarify the expression. It appears there might be a typographical issue with "f5". Assuming it means \( f \) multiplied by \( 5 \), we will rewrite the equation as follows:

\[ 2(5f) - 85 + 2f = 8 \]

This simplifies to:

\[ 10f - 85 + 2f = 8 \]

Now, combine like terms:

\[ (10f + 2f) - 85 = 8 \]

This gives us:

\[ 12f - 85 = 8 \]

Next, isolate the term involving \( f \) by adding \( 85 \) to both sides:

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

Now, divide both sides by \( 12 \) to solve for \( f \):

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

To simplify \( \frac{93}{12} \):

• Both numbers can be divided by \( 3 \): \[ f = \frac{31}{4} \]

Thus, the solution to the equation is:

\[ f = 31/4 \]

Since \( \frac{31}{4} \) equals \( 7.75 \), none of the provided options (83, \( \frac{8}{3} \), 166, \( \frac{16}{6} \), 12, 4) seem to match with \( 7.75 \).

So the final answer is \( f = \frac{31}{4} \) which is not listed in the options provided. If the expression was intended to have a different meaning, please clarify for further assistance.

Answer 2

what is the answer

Answer 3

Apologies for the confusion earlier. Let's recalculate the solution step-by-step.

We need to solve the equation:

\[ 2f5 - 85 + 2f = 8 \]

Assuming "f5" means \(5f\), the equation can be rewritten as:

\[ 2(5f) - 85 + 2f = 8 \]

This simplifies to:

\[ 10f - 85 + 2f = 8 \]

Now, combine like terms:

\[ (10f + 2f) - 85 = 8 \]

Which gives:

\[ 12f - 85 = 8 \]

Next, add \(85\) to both sides:

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

Now, divide both sides by \(12\):

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

Simplifying \( \frac{93}{12} \):

\[ f = \frac{31}{4} \quad \text{(which is 7.75)} \]

Since you are asking for responses listed as potential choices, it appears \( \frac{31}{4} \) is equivalent to \( 7.75 \) but does not match the options you've given.

Among the options you provided (83, \( \frac{8}{3} \), 166, \( \frac{16}{6} \), 12, 4), \( 12 \) and \( \frac{16}{6} \) are the closest integers, but the calculation shows the correct value is \( \frac{31}{4} = 7.75 \).

If those are the only options provided and a match is required, it seems there is no correct choice based on provided values.

To summarize, the calculated answer for \( f \) is:

\[ f = \frac{31}{4} \quad \text{or} \quad 7.75 \]

Please let me know if there is an error in the equation or if the options provided were incorrect.

Answer 4

which one is the answer

Answer 5

Based on the equation you provided and its solution, the closest correct numerical option needs to be identified. Let's quickly summarize:

From the equation:

\[ 2(5f) - 85 + 2f = 8 \]

We found:

\[ f = \frac{93}{12} = \frac{31}{4} = 7.75 \]

Now, let’s review the answer choices you listed:

1. 83
2. \(\frac{8}{3}\) (which is approximately 2.67)
3. 166
4. \(\frac{16}{6}\) (which simplifies to \(\frac{8}{3}\) or approximately 2.67)
5. 12
6. 4

Among these options, none match \( 7.75 \) or \(\frac{31}{4}\).

Conclusion

Since \( f = 7.75 \) or \( \frac{31}{4} \) does not correspond with any of the provided options, it appears there is either an error in the problem or the options given do not reflect the correct solution. If I had to pick an option based on numerical proximity or if there's an assumption to consider, it would be none of them are correct.

Please double-check to see if there’s any confusion about the equation or if different options should be provided. If you need anything else, feel free to ask!