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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