Are the ratios 6/14 and 10/23 equivalent? 1. Answer yes or no. 2. Clearly explain how you got your answer.(2 points)
No, the ratios 6/14 and 10/23 are not equivalent.
To determine if two ratios are equivalent, we need to check if their cross products are equal.
For the ratio 6/14, the cross product is 6 * 1 = 6.
For the ratio 10/23, the cross product is 10 * 1 = 10.
Since the cross products are not equal (6 ≠ 10), the ratios 6/14 and 10/23 are not equivalent.
show me your work
Certainly! Here is the work shown:
To check if the ratios 6/14 and 10/23 are equivalent, we compare their cross products.
For the ratio 6/14:
Cross product = 6 * 1 = 6
For the ratio 10/23:
Cross product = 10 * 1 = 10
Since the cross products are not equal (6 ≠ 10), we can conclude that the ratios 6/14 and 10/23 are not equivalent.
1. Yes.
2. To determine if two ratios are equivalent, we need to check if their cross products are equal.
For the given ratios:
6/14 = 6 * 23 = 138
10/23 = 10 * 14 = 140
Since the cross products, 138 and 140, are not equal, the ratios 6/14 and 10/23 are not equivalent.