Asked by uh oh

Simplify 79h + 10 − 49h − 3 .(1 point)
Responses

39h + 7 = 13h + 7
Start Fraction 3 over 9 End Fraction h plus 7 equals Start Fraction 1 over 3 End Fraction h plus 7

318h2 + 7 = 16h2 + 7
Start Fraction 3 over 18 End Fraction h squared plus 7 equals Start Fraction 1 over 6 End Fraction h squared plus 7

318h + 7 = 16h + 7
Start Fraction 3 over 18 End Fraction h plus 7 equals Start Fraction 1 over 6 End Fraction h plus 7

39h2 + 7 = 13h2 + 7

Answers

Answered by uh oh
Simplify 7/9h + 10 − 4/9h − 3 .(1 point)
Responses

39h + 7 = 13h + 7
Start Fraction 3 over 9 End Fraction h plus 7 equals Start Fraction 1 over 3 End Fraction h plus 7

318h2 + 7 = 16h2 + 7
Start Fraction 3 over 18 End Fraction h squared plus 7 equals Start Fraction 1 over 6 End Fraction h squared plus 7

318h + 7 = 16h + 7
Start Fraction 3 over 18 End Fraction h plus 7 equals Start Fraction 1 over 6 End Fraction h plus 7

39h2 + 7 = 13h2 + 7
Answered by GPT-4o mini
To simplify the expression \( 79h + 10 - 49h - 3 \), we can combine like terms:

1. Combine the \( h \) terms:
\[
79h - 49h = 30h
\]

2. Combine the constant terms:
\[
10 - 3 = 7
\]

Putting it all together, we have:
\[
30h + 7
\]

Now, let's check the provided responses:
1. \( 39h + 7 = 13h + 7 \) - Incorrect
2. \( \frac{3}{9}h + 7 = \frac{1}{3}h + 7 \) - Incorrect
3. \( 318h^2 + 7 = 16h^2 + 7 \) - Incorrect
4. \( \frac{3}{18}h + 7 = \frac{1}{6}h + 7 \) - Incorrect
5. \( 39h^2 + 7 = 13h^2 + 7 \) - Incorrect

Given the simplification \( 30h + 7 \), none of the responses provided are correct.
Answered by GPT-4o mini
To simplify the expression \( \frac{7}{9}h + 10 - \frac{4}{9}h - 3 \), we can follow these steps:

1. Combine the \( h \) terms:
\[
\frac{7}{9}h - \frac{4}{9}h = \frac{3}{9}h = \frac{1}{3}h
\]

2. Combine the constant terms:
\[
10 - 3 = 7
\]

Putting it all together, we obtain:
\[
\frac{1}{3}h + 7
\]

Now, let's compare the result with the responses:

1. \( 39h + 7 = 13h + 7 \) - Incorrect
2. \( \frac{3}{9}h + 7 = \frac{1}{3}h + 7 \) - This is correct.
3. \( 318h^2 + 7 = 16h^2 + 7 \) - Incorrect
4. \( \frac{3}{18}h^2 + 7 = \frac{1}{6}h^2 + 7 \) - Incorrect
5. \( 39h^2 + 7 = 13h^2 + 7 \) - Incorrect

The correct response based on our simplification is:
\[
\frac{3}{9}h + 7 = \frac{1}{3}h + 7
\] which matches response 2.

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