Determine if one, both, or neither of the following is a proportion. 168=?2412, 84=?126(1 point)
Responses
84=126 only
Start Fraction 8 over 4 End Fraction equals Start Fraction 12 over 6 End Fraction only
Neither is a proportion.
Neither is a proportion.
168=2412 only
Start Fraction 16 over 8 End Fraction equals Start Fraction 24 over 12 End Fraction only
168=2412, 84=126
Neither is a proportion.
To determine if one, both, or neither of the following is a proportion, we need to compare the fractions on both sides of the equation.
Let's break it down:
For 168=?2412:
The fraction on the left-hand side is 168. The fraction on the right-hand side is 24/12.
Dividing 168 by 12, we get 14. So, the equation becomes 14 = 24/12.
Simplifying 24/12, we get 2. Therefore, the equation becomes 14 = 2.
Since 14 does not equal 2, 168 = ?2412 is not a proportion.
For 84=?126:
The fraction on the left-hand side is 84. The fraction on the right-hand side is 12/6.
Dividing 84 by 6, we get 14. So, the equation becomes 14 = 12/6.
Simplifying 12/6, we get 2. Therefore, the equation becomes 14 = 2.
Since 14 does not equal 2, 84 = ?126 is not a proportion.
So, neither of the given equations is a proportion.
To determine if the given pairs are proportions, we need to check if the ratios on both sides of the equation are equal.
Let's start with the first pair: 168=?2412.
To check if this is a proportion, we need to calculate the ratio on each side:
- Ratio on the left side: 168/1 = 168.
- Ratio on the right side: ?2412 = 2412.
Since 168 is not equal to 2412, the first pair is not a proportion.
Now let's move on to the second pair: 84=?126.
Again, we calculate the ratios on each side:
- Ratio on the left side: 84/1 = 84.
- Ratio on the right side: ?126 = 126.
Since 84 is equal to 126, the second pair is a proportion.
Therefore, out of the two given pairs, only the second pair (84=?126) is a proportion.