Use cross products to see if each pair of ratios forms a proportion. Replace each box with = or ≠.
1. 7/5 15/10
• =
• ≠
7/5 vs 15/10
70 vs 75
70 < 75 , so
7/5 < 15/10 or, as you asked for : 7/5 ≠ 15/10
thank you
To determine if each pair of ratios forms a proportion, we can use the cross product property.
The cross product of the first pair of ratios (7/5 and 15/10) is calculated by multiplying the numerator of the first ratio (7) by the denominator of the second ratio (10) and multiplying the numerator of the second ratio (15) by the denominator of the first ratio (5).
Cross product: 7 * 10 = 15 * 5
70 = 75
Since 70 is not equal to 75, the pair of ratios does not form a proportion.
Therefore, the answer is ≠.
To determine if the pair of ratios forms a proportion, we can use cross products.
In this case, we have the ratios 7/5 and 15/10.
To find the cross products, we multiply the numerator of the first ratio with the denominator of the second ratio, and vice versa.
For the first ratio, the cross products are 7 * 10 = 70 and 5 * 15 = 75.
If the cross products are equal, the pair of ratios forms a proportion. If the cross products are not equal, the pair of ratios does not form a proportion.
Comparing the cross products, we have 70 ≠ 75.
Therefore, the pair of ratios 7/5 and 15/10 forms a proportion, and we can replace the box with ≠.