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Elena’s salad dressing recipe calls for 4 tablespoons of oil for every 3 tablespoons of vinegar.

Select all of the true statements.

A. The recipe uses 3/4 tablespoon oil per every 1 tablespoon vinegar.

B. The recipe uses 3/4 tablespoon vinegar per every 1 tablespoon oil.

C. The dressing could be made with exactly 5 tablespoons oil and 4 tablespoons vinegar.

D. The dressing could be made with exactly 4 tablespoons oil and 3 tablespoons vinegar.

E. The dressing could be made with exactly 2 tablespoons oil and 3/2 or 1 1/2 tablespoons vinegar.

Answer :

Answer:

Step-by-step explanation:

The true statements are:

- The dressing could be made with exactly 4 tablespoons oil and 3 tablespoons vinegar.

- The dressing could be made with exactly 2 tablespoons oil and 1 1/2 tablespoons vinegar.

To determine the true statements, we need to consider the ratio of oil to vinegar in the recipe. According to Elena's salad dressing recipe, the ratio is 4 tablespoons of oil for every 3 tablespoons of vinegar.

Let's analyze each statement:

1. The recipe uses 3/4 tablespoons oil per every 1 tablespoon vinegar.

This statement is not true. The correct ratio is 4 tablespoons of oil for every 3 tablespoons of vinegar. So, for 1 tablespoon of vinegar, we would need (4/3) tablespoons of oil, not 3/4 tablespoons.

2. The recipe uses 3/4 tablespoons vinegar per every 1 tablespoon oil.

This statement is not true. The correct ratio is 4 tablespoons of oil for every 3 tablespoons of vinegar. So, for 1 tablespoon of oil, we would need (3/4) tablespoons of vinegar, not 3/4 tablespoons.

3. The dressing could be made with exactly 5 tablespoons oil and 4 tablespoons vinegar.

This statement is not true. If we use 5 tablespoons of oil, according to the ratio, we would need (5 * 3/4) = 3.75 tablespoons of vinegar, not 4 tablespoons.

4. The dressing could be made with exactly 4 tablespoons oil and 3 tablespoons vinegar.

This statement is true. Using the given ratio, 4 tablespoons of oil perfectly matches with 3 tablespoons of vinegar.

5. The dressing could be made with exactly 2 tablespoons oil and 3/2 or 1 1/2 tablespoons vinegar.

This statement is true. Using the given ratio, 2 tablespoons of oil matches with (3/4 * 2) = 1 1/2 tablespoons of vinegar.

Therefore, the true statements are that the dressing could be made with exactly 4 tablespoons oil and 3 tablespoons vinegar, and it could also be made with exactly 2 tablespoons oil and 1 1/2 tablespoons vinegar.

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