Which ratios form a proportion?
3/15, 12/55
8/24, 12/35
5/18, 25/90••
4/11, 16/25
Which ratio form a proportion with 9/15?
6/10
16/21
36/50••
45/70
1. yes
2. no
I'm really sure it's B
Correct me
Hold on I'm really sure it's A not B
A is right.
9/15 = 3/5 = 6/10
Is 4/5 and 36/50 form a proportion
To determine which ratios form a proportion, we need to check if the two ratios are equal.
In the given options, we can use cross-multiplication to check if the ratios are equal:
1) 3/15 and 12/55:
Cross-multiplication: 3 * 55 = 12 * 15 → 165 ≠ 180
Therefore, 3/15 and 12/55 do not form a proportion.
2) 8/24 and 12/35:
Cross-multiplication: 8 * 35 = 12 * 24 → 280 = 288
Therefore, 8/24 and 12/35 do not form a proportion.
3) 5/18 and 25/90:
Cross-multiplication: 5 * 90 = 25 * 18 → 450 = 450
Therefore, 5/18 and 25/90 form a proportion.
4) 4/11 and 16/25:
Cross-multiplication: 4 * 25 = 16 * 11 → 100 = 176
Therefore, 4/11 and 16/25 do not form a proportion.
Therefore, the ratios 5/18 and 25/90 form a proportion.
Now, to find which ratio forms a proportion with 9/15, we can set up a proportion using the given ratio and check for equality using cross-multiplication.
The given ratio is 9/15, and we have the options:
1) 6/10:
Cross-multiplication: 9 * 10 = 6 * 15 → 90 ≠ 90
2) 16/21:
Cross-multiplication: 9 * 21 = 16 * 15 → 189 ≠ 240
3) 36/50:
Cross-multiplication: 9 * 50 = 36 * 15 → 450 = 450
Therefore, 36/50 does form a proportion with 9/15.
4) 45/70:
Cross-multiplication: 9 * 70 = 45 * 15 → 630 ≠ 675
Therefore, 45/70 does not form a proportion with 9/15.
Therefore, the ratio 36/50 (or simplifying it to 18/25) forms a proportion with 9/15.