select all the pairs of ratio's that form a proportion.
1/6 4/20
7/9 28/36
14/18 21/27
30/80 6/18
this question has to answers help my answer's are B. and C.for this question
I agree with your answers
ok thanks i had to repost this question because of stuff being put on the website and the comments are blending in and it driving me crazey.
To determine which pairs of ratios form a proportion, we need to compare the ratios.
There is a property of proportions that says if the cross-products of two ratios are equal, then the ratios form a proportion.
Let's analyze each pair of ratios:
1/6 and 4/20:
To find the cross-products:
1 * 20 = 20
6 * 4 = 24
Since the cross-products are not equal (20 and 24), this pair of ratios does not form a proportion.
7/9 and 28/36:
To find the cross-products:
7 * 36 = 252
9 * 28 = 252
The cross-products are equal (252 and 252), so this pair of ratios forms a proportion.
14/18 and 21/27:
To find the cross-products:
14 * 27 = 378
18 * 21 = 378
The cross-products are equal (378 and 378), so this pair of ratios also forms a proportion.
30/80 and 6/18:
To find the cross-products:
30 * 18 = 540
80 * 6 = 480
The cross-products are not equal (540 and 480), so this pair of ratios does not form a proportion.
The correct pairs of ratios that form a proportion are B (7/9 and 28/36) and C (14/18 and 21/27).
Therefore, your answers B and C are correct.