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Sagot :
To determine which ratio is equivalent to 3:5, let's compare each choice step by step:
1. Original Ratio:
The ratio we need to compare against is 3:5, which is calculated as follows:
[tex]\[ \frac{3}{5} = 0.6 \][/tex]
2. Option A: 9:15
Calculate the value of the ratio 9:15:
[tex]\[ \frac{9}{15} = 0.6 \][/tex]
This matches the original ratio of 0.6.
3. Option B: 9:5
Calculate the value of the ratio 9:5:
[tex]\[ \frac{9}{5} = 1.8 \][/tex]
This does not match the original ratio of 0.6.
4. Option C: 5:3
Calculate the value of the ratio 5:3:
[tex]\[ \frac{5}{3} \approx 1.6667 \][/tex]
This does not match the original ratio of 0.6.
5. Option D: 8:4
Calculate the value of the ratio 8:4:
[tex]\[ \frac{8}{4} = 2.0 \][/tex]
This does not match the original ratio of 0.6.
Based on these calculations, the only ratio equivalent to 3:5 is Option A: 9:15.
1. Original Ratio:
The ratio we need to compare against is 3:5, which is calculated as follows:
[tex]\[ \frac{3}{5} = 0.6 \][/tex]
2. Option A: 9:15
Calculate the value of the ratio 9:15:
[tex]\[ \frac{9}{15} = 0.6 \][/tex]
This matches the original ratio of 0.6.
3. Option B: 9:5
Calculate the value of the ratio 9:5:
[tex]\[ \frac{9}{5} = 1.8 \][/tex]
This does not match the original ratio of 0.6.
4. Option C: 5:3
Calculate the value of the ratio 5:3:
[tex]\[ \frac{5}{3} \approx 1.6667 \][/tex]
This does not match the original ratio of 0.6.
5. Option D: 8:4
Calculate the value of the ratio 8:4:
[tex]\[ \frac{8}{4} = 2.0 \][/tex]
This does not match the original ratio of 0.6.
Based on these calculations, the only ratio equivalent to 3:5 is Option A: 9:15.
A. 9:15 because it’s just multiplied by 3 and so its the exact same as the original ratio.
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