Question

Consider this statement: 60 is equal to the product of a number, n, and 10. Which of the following are true? Select all that apply. The equation 60 = 10 ÷ n represents this statement. The equation 60 = 10 x n represents this statement. The equation 60 = 10 + n represents this statement. The value of n is 6. The value of n is 50

Answer 1

Let's analyze each statement based on the original statement: "60 is equal to the product of a number, n, and 10." This can be expressed as the equation:

\[ 60 = 10 \times n \]

Now, let's evaluate the options provided:

1. **The equation 60 = 10 ÷ n represents this statement.**
- This is **false**. The original statement defines a product, not a division.

2. **The equation 60 = 10 x n represents this statement.**
- This is **true**. This correctly reflects the statement that 60 is equal to the product of n and 10.

3. **The equation 60 = 10 + n represents this statement.**
- This is **false**. The original statement expresses an equality based on multiplication, not addition.

4. **The value of n is 6.**
- This is **true**. If we solve the equation \( 60 = 10 \times n \), then \( n = \frac{60}{10} = 6 \).

5. **The value of n is 50.**
- This is **false**. From our equation, we determined that \( n \) is 6, not 50.

Based on the evaluations, the true statements are:

- The equation 60 = 10 x n represents this statement.
- The value of n is 6.