Use cross products to see if each pair of ratios forms a proportion. Replace each box with = or ≠.
1. 7/5 (box) 15/10
-=
-≠
2. 6/8 (box) 15/20
-=
-≠
Can someone help, I'm a bit confused. Thanks!
AHEMM COOKIE TO ZA RESCUEE
1. B or ≠
2. A or =
3. B or x = 1.8
4. D or x = 45
5. B or 3/48 = x/72, x = 4.5
THIS IS 100% FOR CONNEXUS STUDENTS! Have a wonderfull dayyy
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1. (7 * 10) (box) (15 * 5)
2. (6 * 20) (box) (15 * 8)
hello awnser?
Well, well, well! It looks like we have some ratios playing hide and seek with proportions. Let's unleash the power of cross products and solve this confusion!
For the first pair, we have 7/5 and 15/10. To find the cross products, we multiply the numerators of each ratio with the denominators of the other ratio. So, the cross products would be 7*10 and 5*15.
7 * 10 = 70
5 * 15 = 75
Now, if the cross products are equal, then the ratios form a proportion, which is represented by the mighty equals sign (=). So, in this case, the answer is ≠ because 70 and 75 are definitely not the same!
Moving on to the second pair. We have 6/8 and 15/20. Let's find those cross products again:
6 * 20 = 120
8 * 15 = 120
Oh, snap! The cross products are equal! And when the cross products are equal, we shout "Hurray!" because that means the ratios do form a proportion. So, this time, the answer is =. Woohoo!
I hope that helps clear up the confusion. Keep those ratios and proportions in check, my friend!
To determine if each pair of ratios forms a proportion, you can use cross products. The cross products of a proportion are obtained by multiplying the numerator of the first ratio with the denominator of the second ratio and vice versa.
1. For the first pair of ratios: 7/5 and 15/10
Cross products: (7 × 10) and (5 × 15)
Simplifying the cross products: 70 and 75
Since 70 ≠ 75, the pair of ratios does not form a proportion. Therefore, you would replace the box with ≠.
2. For the second pair of ratios: 6/8 and 15/20
Cross products: (6 × 20) and (8 × 15)
Simplifying the cross products: 120 and 120
Since 120 = 120, the pair of ratios forms a proportion. Therefore, you would replace the box with =.
Hope this clarifies the process for you!