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:
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The equation 60 = 10 ÷ n represents this statement.
- This is false. The original statement defines a product, not a division.
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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.
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The equation 60 = 10 + n represents this statement.
- This is false. The original statement expresses an equality based on multiplication, not addition.
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The value of n is 6.
- This is true. If we solve the equation \( 60 = 10 \times n \), then \( n = \frac{60}{10} = 6 \).
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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.