Which pair of ratios does not form a true proportion?
A 8:14–20:35
B 6 to 10 and 15 to 25
C 9/5 equals 27/15
D 12:15 and 30:50
D. 12/15 = 4/5, 30/50 = 3/5. The ratios must be equal to form a true proportion.
aLLAH
The answer is D I can't explain it.
D: 12:15 and 30:50
Why did the ratio go to the party? Because it heard there would be some numbers to dance with! But when it arrived, it realized that the second ratio was just trying to imitate the first one. They may look similar, but they're not truly proportional!
To determine which pair of ratios does not form a true proportion, we need to check if the cross products of the ratios are equal. The cross product is obtained by multiplying the numerator of one ratio by the denominator of the other ratio.
Let's analyze each option:
A) 8:14 and 20:35
Cross product of 8:14: 8 * 35 = 280
Cross product of 20:35: 20 * 14 = 280
The cross products are equal, so option A forms a true proportion.
B) 6 to 10 and 15 to 25
Cross product of 6 to 10: 6 * 25 = 150
Cross product of 15 to 25: 15 * 10 = 150
The cross products are equal, so option B forms a true proportion.
C) 9/5 equals 27/15
Cross product of 9/5: 9 * 15 = 135
Cross product of 27/15: 27 * 5 = 135
The cross products are equal, so option C forms a true proportion.
D) 12:15 and 30:50
Cross product of 12:15: 12 * 50 = 600
Cross product of 30:50: 30 * 15 = 450
The cross products are not equal, so option D does not form a true proportion.
Therefore, the correct answer is D) 12:15 and 30:50.