Conversations Factors and Proportions Quiz Part 1
1. Which ratios form a proportion
A. 3/15, 12/55
B. 8/24, 12/35
C. 5/18, 25/90
D. 4/11, 16/25
bro someone answer thisss
To determine which ratios form a proportion, we need to check if the cross products are equal. The cross product of a proportion is obtained by multiplying the numerator of the first ratio by the denominator of the second ratio and vice versa.
Let's check each option:
A. Cross product of 3/15 and 12/55: (3 * 55) = 165 and (15 * 12) = 180. Since the cross products are not equal, option A is not a proportion.
B. Cross product of 8/24 and 12/35: (8 * 35) = 280 and (24 * 12) = 288. Since the cross products are not equal, option B is not a proportion.
C. Cross product of 5/18 and 25/90: (5 * 90) = 450 and (18 * 25) = 450. The cross products are equal, so option C is a proportion.
D. Cross product of 4/11 and 16/25: (4 * 25) = 100 and (11 * 16) = 176. Since the cross products are not equal, option D is not a proportion.
Therefore, the correct answer is C. 5/18, 25/90, as the cross products are equal.
To determine which ratios form a proportion, we need to check if their cross products are equal.
For option A, the cross products are (3 * 55) = 165 and (15 * 12) =180, which are not equal. Therefore, option A does not form a proportion.
For option B, the cross products are (8 * 35) = 280 and (24 * 12) = 288, which are not equal. Therefore, option B does not form a proportion.
For option C, the cross products are (5 * 90) = 450 and (18 * 25) = 450, which are equal. Therefore, option C forms a proportion.
For option D, the cross products are (4 * 25) = 100 and (11 * 16) = 176, which are not equal. Therefore, option D does not form a proportion.
Therefore, the ratios that form a proportion are: C. 5/18, 25/90.