Flynn Davison
09/10/2024 · Middle School
S)) Select all ratios equivalent to 7:4.
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Step-by-step Solution
To find ratios equivalent to 7:4, we can multiply both the numerator and the denominator by the same non-zero number. Here are some examples of equivalent ratios:
1. Multiply by 1:
\( 7 \times 1 : 4 \times 1 = 7:4 \)
2. Multiply by 2:
\( 7 \times 2 : 4 \times 2 = 14:8 \)
3. Multiply by 3:
\( 7 \times 3 : 4 \times 3 = 21:12 \)
4. Multiply by 4:
\( 7 \times 4 : 4 \times 4 = 28:16 \)
5. Multiply by 5:
\( 7 \times 5 : 4 \times 5 = 35:20 \)
6. Multiply by -1 (to get negative ratios):
\( 7 \times -1 : 4 \times -1 = -7:-4 \)
Any ratio that can be expressed in the form \( 7k : 4k \) (where \( k \) is any non-zero number) will be equivalent to 7:4.
If you have specific options to choose from, please provide them, and I can help identify which ones are equivalent to 7:4.
Quick Answer
Ratios equivalent to 7:4 include 14:8, 21:12, 28:16, 35:20, and -7:-4, among others.
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