2) which ratio forms a proportion with 9/15?
A) 3/6
B) 2/3
C) 12/30
D) 6/10*****
3) which proportion has cross products of 5×24 and 8×15
A) 5/8=15/24****
B)5/24=8/15
C) 8/24=15/5
D) 15/8=5/24
Yes, Both answers are correct;
Thnk you
You're welcome.
To determine which ratio forms a proportion with 9/15, you need to check if the cross products of the ratios are equal. The cross products of a proportion are obtained by multiplying the numerator of one ratio with the denominator of the other ratio.
For option A:
Cross products = 3 × 15 = 45
Cross products of 9/15 = 9 × 1 = 9
Since 45 and 9 are not equal, option A is not a proportion.
For option B:
Cross products = 2 × 15 = 30
Cross products of 9/15 = 9 × 1 = 9
Since 30 and 9 are not equal, option B is not a proportion.
For option C:
Cross products = 12 × 15 = 180
Cross products of 9/15 = 9 × 1 = 9
Since 180 and 9 are not equal, option C is not a proportion.
For option D:
Cross products = 6 × 15 = 90
Cross products of 9/15 = 9 × 1 = 9
Since 90 and 9 are equal, option D forms a proportion with 9/15.
Therefore, the correct answer is option D) 6/10, as it is the ratio that forms a proportion with 9/15.
To determine which proportion has cross products of 5×24 and 8×15, you need to write out the possible proportions and calculate their cross products.
Option A: 5/8 = 15/24
Cross products = 5 × 24 = 120
Cross products of 8/15 = 8 × 15 = 120
Since 120 and 120 are equal, option A is a proportion.
Option B: 5/24 = 8/15
Cross products = 5 × 15 = 75
Cross products of 8/15 = 8 × 24 = 192
Since 75 and 192 are not equal, option B is not a proportion.
Option C: 8/24 = 15/5
Cross products = 8 × 5 = 40
Cross products of 15/5 = 15 × 24 = 360
Since 40 and 360 are not equal, option C is not a proportion.
Option D: 15/8 = 5/24
Cross products = 15 × 24 = 360
Cross products of 5/24 = 5 × 8 = 40
Since 360 and 40 are not equal, option D is not a proportion.
Therefore, the correct answer is option A) 5/8 = 15/24, as it is the proportion that has cross products of 5×24 and 8×15.