Simplify 7/9h +10 - 4/9h -3

To simplify the expression \( \frac{7}{9}h + 10 - \frac{4}{9}h - 3 \), let's combine like terms step by step.

1. Start with the expression: \[ \frac{7}{9}h - \frac{4}{9}h + 10 - 3 \]

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

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

4. Now, combine everything: \[ \frac{1}{3}h + 7 \]

This means the simplified expression is: \[ \frac{1}{3}h + 7 \]

Now, examining the options provided: A. \( \frac{3}{18}h^2 + 7 = \frac{1}{6}h^2 + 7 \) --> This is incorrect since we have a linear expression, not quadratic. B. \( \frac{3}{9}h^2 + 7 = \frac{1}{3}h^2 + 7 \) --> This is also incorrect for the same reason. C. \( \frac{3}{18}h \times 7 = \frac{1}{6}h + 7 \) --> Not correct, interpreting incorrectly. D. \( \frac{3}{9}h \times 7 = \frac{1}{3}h \times 7 \) --> This is incorrect since we are not multiplying by 7 here.

None of the options represent the simplified expression \( \frac{1}{3}h + 7 \).

Thus, the solution doesn't match any of the provided options.