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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

3 answers

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.

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

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.