determine if 2.25/10, 9/40, 2.5/10, 90/40 or 2.25/12, 90/40 is a proportion
To determine if the given pairs are in proportion, we need to check if their cross products are equal.
First pair: 2.25/10 and 9/40
Cross product of the first pair: (2.25)(40) = (10)(9) = 90
Second pair: 2.25/12 and 90/40
Cross product of the second pair: (2.25)(40) = (12)(90) = 1080
Since the cross products of the pairs are not equal (90 ≠ 1080), the given pairs are not in proportion.
To determine if two fractions are in proportion, we need to check if their cross products are equal.
Let's compare the fractions 2.25/10 and 9/40:
Cross product 1: (2.25) * (40) = 90
Cross product 2: (10) * (9) = 90
Since the cross products are equal, the fractions 2.25/10 and 9/40 are in proportion.
Now let's compare the fractions 2.5/10 and 90/40:
Cross product 1: (2.5) * (40) = 100
Cross product 2: (10) * (90) = 900
Since the cross products are not equal (100 ≠ 900), the fractions 2.5/10 and 90/40 are not in proportion.
Lastly, let's compare the fractions 2.25/12 and 90/40:
Cross product 1: (2.25) * (40) = 90
Cross product 2: (12) * (90) = 1080
Since the cross products are not equal (90 ≠ 1080), the fractions 2.25/12 and 90/40 are not in proportion.
Thus, only the fractions 2.25/10 and 9/40 are in proportion.
To determine if two ratios are proportionate, we need to compare their cross products.
For the first set of ratios: 2.25/10 and 9/40
Cross products: (2.25) * (40) = 90 and (10) * (9) = 90
Since the cross products are equal (both equal 90), the first set of ratios is proportionate.
Now, let's check the second set of ratios: 2.25/12 and 90/40
Cross products: (2.25) * (40) = 90 and (12) * (90) = 1080
Since the cross products are not equal (90 is not equal to 1080), the second set of ratios is not proportionate.
Therefore, the first set of ratios, 2.25/10 and 9/40, is a proportion while the second set of ratios, 2.25/12 and 90/40, is not a proportion.