Use cross products to demonstrate whether or not the two ratios are equivalent:
4
6
and
14
21
.
again?
compare
4*21 and 6*14
they arnt equevilent, sry i was eating lunch
To determine whether two ratios are equivalent using cross products, we compare the products of the numerator of the first ratio and the denominator of the second ratio, and the products of the denominator of the first ratio and the numerator of the second ratio.
First, let's calculate the cross-products of the given ratios:
Cross-product of the first ratio: 4 * 21 = 84
Cross-product of the second ratio: 6 * 14 = 84
Since the cross-products are the same (84 = 84), we can conclude that the two ratios are equivalent.
Here's how you can use cross products to check for equivalent ratios:
1. Take the numerator of the first ratio and multiply it by the denominator of the second ratio.
2. Take the denominator of the first ratio and multiply it by the numerator of the second ratio.
3. Compare the two products obtained.
- If the products are equal, the ratios are equivalent.
- If the products are not equal, the ratios are not equivalent.
In this case, the cross products are both 84, indicating that the ratios 4/6 and 14/21 are indeed equivalent.