Question
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Write the equations in statement form \( \frac{3 m}{5}=6 \) Set up an equation in the following case.

Ask by Franklin Ray. in India
Mar 11,2025

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Tutor-Verified Answer

Answer

The equation \( \frac{3 m}{5} = 6 \) can be stated as: "Three-fifths of the number \( m \) is equal to 6."

Solution

To express the equation \( \frac{3 m}{5} = 6 \) in statement form, we can break it down into a verbal description. The equation states that three-fifths of a certain number \( m \) is equal to 6. In statement form, this can be written as: "Three-fifths of the number \( m \) is equal to 6." If you need to set up an equation based on this statement, it would be: Let \( m \) be the unknown number. Then, the equation representing this statement is: \[ \frac{3 m}{5} = 6 \] This is the same as the original equation you provided. If you need further assistance or a different type of equation setup, please let me know!

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The Deep Dive

To express the equation \( \frac{3 m}{5} = 6 \) in statement form, you can say, "Three-fifths of a number \( m \) is equal to six." This clarifies that when you take \( m \), multiply it by three, and then divide by five, you arrive at six. For another variation, you can express it as: "If you have a number \( m \), when you take three times that number and then divide the result by five, the outcome is six." This provides a little more context by emphasizing the operations applied to the number \( m \).

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