How many of the following are proportions?

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

Question

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Answer :

yaswanthmandapati123 yaswanthmandapati123 · Answer 1 · 2024-10-31T15:30:05-04:00

All of the given equations are proportions.

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

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

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