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6 Multiple Answer 1 point Choose 3 ratios that are equivalent to \( 3: 7 \) \( 1: 2 \) \( 6: 14 \) \( 6: 24 \) \( 12: 28 \) \( 15: 35 \) \( 24: 42 \)

Ask by Ellis Potter. in the United States
Jan 24,2025

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Answer

Equivalent ratios to \( 3:7 \) are \( 6:14 \), \( 12:28 \), and \( 15:35 \).

Solution

The ratios equivalent to \( 3:7 \) are: - **\( 6:14 \)** Simplifies to \( 3:7 \) when divided by 2. - **\( 12:28 \)** Simplifies to \( 3:7 \) when divided by 4. - **\( 15:35 \)** Simplifies to \( 3:7 \) when divided by 5. **Equivalent Ratios:** - \( 6:14 \) - \( 12:28 \) - \( 15:35 \)

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To find ratios equivalent to \( 3:7 \), we can multiply both terms of the ratio by the same number. First, let's check \( 6:14 \). By multiplying \( 3 \) by \( 2 \) and \( 7 \) by \( 2 \), we get \( 6:14 \). This one is equivalent! Next, \( 12:28 \) works because multiplying \( 3 \) by \( 4 \) and \( 7 \) by \( 4 \) gives us \( 12:28 \). That's another! Finally, check \( 15:35 \). Multiply \( 3 \) by \( 5 \) and \( 7 \) by \( 5 \) to get \( 15:35 \). That's a winner as well! So, the equivalent ratios are \( 6:14 \), \( 12:28 \), and \( 15:35 \).

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