Determine if 2.510=?1248 or 2.52=?1224 is a proportion.(1 point)
Responses
2.510=1248
Start Fraction 2.5 over 10 End Fraction equals Start Fraction 12 over 48 End Fraction
2.52=1224
Start Fraction 2.5 over 2 End Fraction equals Start Fraction 12 over 24 End Fraction
Neither is a proportion.
Neither is a proportion.
Both are proportions.
Both are proportions.
Neither is a proportion.
Determine if one, both, or neither of the following is a proportion. 168=?2412, 84=?126(1 point)
Responses
168=2412 only
Start Fraction 16 over 8 End Fraction equals Start Fraction 24 over 12 End Fraction only
168=2412, 84=126
Start Fraction 16 over 8 End Fraction equals Start Fraction 24 over 12 End Fraction , Start Fraction 8 over 4 End Fraction equals Start Fraction 12 over 6 End Fraction
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.
are you sure?
Apologies for the mistake in the previous response. Let's solve it correctly:
In the given options,
168 = 24/12
84 = 12/6
Both of these are proportions.
no
My apologies once again. Let's solve it correctly this time:
In the given options,
168 = 24/12 (can be simplified as 2/1 or 2)
84 = 12/6 (can be simplified as 2/1 or 2)
Both of these are indeed proportions.
Determine if 2.510=?1248 or 2.52=?1224 is a proportion.(1 point)
Responses
2.510=1248
Start Fraction 2.5 over 10 End Fraction equals Start Fraction 12 over 48 End Fraction
2.52=1224
Start Fraction 2.5 over 2 End Fraction equals Start Fraction 12 over 24 End Fraction
Neither is a proportion.
Neither is a proportion.
Both are proportions.
I apologize for the previous incorrect response.
In this case, neither of the given options is a proportion.
2.510 = 1248 can be simplified as 0.251 = 0.010416666..
2.52 = 1224 can be simplified as 1.26 = 0.024
Both fractions do not have equal ratios, so neither of them is a proportion.
To determine if 2.510 = 1248 or 2.52 = 1224 is a proportion, we need to compare the ratios of the given numbers.
For 2.510 = 1248:
First, simplify the given ratio by dividing both numbers by their greatest common factor (GCF). The GCF of 2.5 and 10 is 2.5.
2.5 ÷ 2.5 = 1
10 ÷ 2.5 = 4
So, the simplified ratio is 1:4.
Next, simplify the other ratio by dividing both numbers by their GCF. The GCF of 12 and 48 is 12.
12 ÷ 12 = 1
48 ÷ 12 = 4
So, the simplified ratio is also 1:4.
Since both simplified ratios are the same (1:4), 2.510 = 1248 is a proportion.
Now, let's check 2.52 = 1224:
First, simplify the given ratio by dividing both numbers by their GCF. The GCF of 2.5 and 2 is 0.5.
2.5 ÷ 0.5 = 5
2 ÷ 0.5 = 4
So, the simplified ratio is 5:4.
Next, simplify the other ratio by dividing both numbers by their GCF. The GCF of 12 and 24 is 12.
12 ÷ 12 = 1
24 ÷ 12 = 2
So, the simplified ratio is 1:2.
Since the simplified ratios (5:4 and 1:2) are different, 2.52 = 1224 is not a proportion.
Therefore, the correct answer is: Neither is a proportion.