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How many of the following are proportions?

\[
\frac{4}{5} = \frac{24}{30}; \quad \frac{4}{5} = \frac{32}{40}; \quad \frac{4}{5} = \frac{20}{40}; \quad \frac{4}{5} = \frac{28}{25}
\]

Answer :

Final answer:

All of the given equations are proportions.

Explanation:

To determine if the given set of equations represents proportions, we need to check if the cross products are equal for each equation.

  1. For the equation (4)/(5) = (24)/(30), the cross products are 4 * 30 = 5 * 24 = 120. Therefore, this equation represents a proportion.
  2. For the equation (4)/(5) = (32)/(40), the cross products are 4 * 40 = 5 * 32 = 160. Therefore, this equation represents a proportion.
  3. For the equation (4)/(5) = (20)/(40), the cross products are 4 * 40 = 5 * 20 = 100. Therefore, this equation represents a proportion.
  4. For the equation (4)/(5) = (28)/(25), the cross products are 4 * 25 = 5 * 28 = 140. Therefore, this equation represents a proportion.

Therefore, all of the given equations represent proportions.

Learn more about identifying proportions here:

https://brainly.com/question/29521675

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