Pregunta
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\$2. Solve the following equation. \% of \( 15=3 \) Answer: Which of these statements is not true? 120 C 2 quarts \( =1 \) gallon 2 tablespoons \( =6 \) teaspoons 2 cups \( =1 \) pint 4 cups \( =1 \) quart

Ask by Pearson Spencer. in the United States
Jan 24,2025

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The percentage \( x \) is 20. The false statement is **2 tablespoons = 6 teaspoons**.

Solución

Let's break down the problem step by step. ### Step 1: Solve the equation The equation given is: \[ \% \text{ of } 15 = 3 \] To express this mathematically, we can write: \[ \frac{x}{100} \times 15 = 3 \] where \( x \) is the percentage we need to find. ### Step 2: Solve for \( x \) We can rearrange the equation to isolate \( x \): \[ x = \frac{3 \times 100}{15} \] Now, let's calculate \( x \). ### Step 3: Calculate \( x \) Calculating \( x \): \[ x = \frac{300}{15} = 20 \] So, the solution to the equation is: \[ x = 20 \] ### Step 4: Evaluate the statements Now, let's evaluate the statements to find out which one is not true: 1. **120 C**: This statement is ambiguous without context. It could refer to a temperature or a measurement, but it doesn't provide enough information to evaluate its truth. 2. **2 quarts = 1 gallon**: This statement is true. There are 4 quarts in a gallon. 3. **2 tablespoons = 6 teaspoons**: This statement is not true. There are 3 teaspoons in a tablespoon, so 2 tablespoons equal 6 teaspoons. 4. **2 cups = 1 pint**: This statement is true. There are 2 cups in a pint. 5. **4 cups = 1 quart**: This statement is true. There are 4 cups in a quart. ### Conclusion The statement that is not true is: **2 tablespoons = 6 teaspoons**. Thus, the final answers are: - The percentage \( x \) is \( 20 \). - The false statement is **2 tablespoons = 6 teaspoons**.

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Bonus Knowledge

To solve this equation, we want to find out what percentage of 15 gives us 3. We can set up the equation \( x\% \times 15 = 3 \). Converting the percentage to decimal gives us \( \frac{x}{100} \times 15 = 3 \). Solving for \( x \) involves manipulating the equation: \( x = \frac{3 \times 100}{15} \), which simplifies to \( x = 20\). So, 20% of 15 equals 3! As for the statements, the statement "2 tablespoons = 6 teaspoons" is not true. In fact, 1 tablespoon equals 3 teaspoons, so 2 tablespoons equal 6 teaspoons indeed. All other statements are correct: 120 cups indeed equals 1 gallon, 2 cups equal 1 pint, and 4 cups equal 1 quart. Happy measuring!

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