Determine if 2.510=?1248 or 2.52=?1224 is a proportion.(1 point)

To determine if the equation is a proportion, we need to check if the ratios on both sides of the equation are equal.

Comparing 2.510 and 1248, we have the ratio 2.510/1248 which is approximately equal to 0.002 (rounded to three decimal places).

Comparing 2.52 and 1224, we have the ratio 2.52/1224 which is approximately equal to 0.002 (rounded to three decimal places).

Since the ratios on both sides of the equation are equal, 2.510/1248 = 2.52/1224, we can conclude that the equation is a proportion.

Determine if 2.5/10=?12/48 or 2.5/2=?12/24 is a proportion.(1 point)

Responses

Neither is a proportion.
Neither is a proportion.

2.5/2=12/24
Start Fraction 2.5 over 2 End Fraction equals Start Fraction 12 over 24 End Fraction

2.5/10=12/48
Start Fraction 2.5 over 10 End Fraction equals Start Fraction 12 over 48 End Fraction

Both are proportions.Determine if 2.5/10=?12/48 or 2.5/2=?12/24 is a proportion.(1 point)
Responses

Neither is a proportion.
Neither is a proportion.

2.5/2=12/24
Start Fraction 2.5 over 2 End Fraction equals Start Fraction 12 over 24 End Fraction

2.5/10=12/48
Start Fraction 2.5 over 10 End Fraction equals Start Fraction 12 over 48 End Fraction

Both are proportions.

To determine if the equation is a proportion, we need to check if the ratios on both sides of the equation are equal.

Comparing 2.5/10 and 12/48, we have the ratio (2.5/10)/(12/48). Simplifying this, we get (2.5/10) * (48/12) = 12/10 which is equal to 1.2.

Comparing 2.5/2 and 12/24, we have the ratio (2.5/2)/(12/24). Simplifying this, we get (2.5/2) * (24/12) = 5/2 which is equal to 2.5.

Since the ratios on both sides of the equation are not equal (1.2 ≠ 2.5), we can conclude that neither equation is a proportion.

Determine if one, both, or neither of the following is a proportion. 16/8=?24/12, 8/4=?12/6(1 point)

Responses

To determine if the equations are proportions, we need to check if the ratios on both sides of each equation are equal.

For the first equation, 16/8 = 24/12, we have the ratio (16/8)/(24/12). Simplifying this, we get (16/8) * (12/24) = 2 * 0.5 = 1. The ratio on both sides is equal to 1, so the first equation is a proportion.

For the second equation, 8/4 = 12/6, we have the ratio (8/4)/(12/6). Simplifying this, we get (8/4) * (6/12) = 2 * 0.5 = 1. The ratio on both sides is equal to 1, so the second equation is also a proportion.

Therefore, both equations are proportions.

You fill your car with 15 gallons of gas at a cost of $45. Using fractional notation, how do you write a proportion that shows how much 5 gallons of gas will cost? Use x to represent the unknown cost.(1 point)

Responses

15:45::x:5
ratio of 15 to 45 colon colon ratio of x to 5

15/45=5/x
Start Fraction 15 over 45 End Fraction equals Start Fraction 5 over x End Fraction

15/x=45/5
Start Fraction 15 over x End Fraction equals Start Fraction 45 over 5 End Fraction

15/45=x/5
Start Fraction 15 over 45 End Fraction equals Start Fraction x over 5 End Fraction

The correct proportion that shows how much 5 gallons of gas will cost is:

15/45 = x/5

This can be read as "15 is to 45 as x is to 5".