Are these two ratios equivalent by using cross products: 6/7 and 24/27
Responses
Yes they are equivilant
No, they are not equvilant
Yes, they are equivalent.
To check if two ratios are equivalent, we can use cross products.
Cross product of 6/7 and 24/27:
6 x 27 = 162
7 x 24 = 168
Since the cross products are equal (162 = 168), the ratios are equivalent.
Yes, these two ratios are equivalent.
To check if the ratios are equivalent, we can use the property of cross products. Cross products state that if two ratios are equivalent, then the product of the means (the two middle numbers) is equal to the product of the extremes (the first and last numbers).
In this case, we have the ratios 6/7 and 24/27.
The cross products are 6 x 27 and 7 x 24.
6 x 27 = 162 and 7 x 24 = 168.
Since the cross products are equal (162 = 168), the ratios 6/7 and 24/27 are indeed equivalent.