Question
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
Real Tutor Solution
Tutor-Verified Answer
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:**
- \( 6:14 \)
- \( 12:28 \)
- \( 15:35 \)
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain
Simplify this solution
Extra Insights
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 \( 15:35 \).