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
1545=5x
Start Fraction 15 over 45 End Fraction equals Start Fraction 5 over x End Fraction
15x=455
Start Fraction 15 over x End Fraction equals Start Fraction 45 over 5 End Fraction
15:45::x:5
ratio of 15 to 45 colon colon ratio of x to 5
1545=x5
Start Fraction 15 over 45 End Fraction equals Start Fraction 5 over x End Fraction
Determine if 2.510=?1248 or 2.52=?1224 is a proportion.
To determine if the given equations are proportions, we need to check if the ratios on both sides are equal.
For 2.510 = ?1248:
Ratio on the left side: 2.5/10 = 0.25
Ratio on the right side: ?/1248 = ? (since 1248 is a whole number)
Since 0.25 is not equal to ?, 2.510 = ?1248 is not a proportion.
For 2.52 = ?1224:
Ratio on the left side: 2.52/1 = 2.52
Ratio on the right side: ?/1224 = ? (since 1224 is a whole number)
Since 2.52 is not equal to ?, 2.52 = ?1224 is also not a proportion.
Therefore, neither equation is a proportion.
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
Both are proportions.
Both are proportions.
2.52=1224
Start Fraction 2.5 over 2 End Fraction equals Start Fraction 12 over 24 End Fraction
Neither is a proportion.
Apologies for the confusion in my previous response. Let's reevaluate the equations.
For 2.510 = ?1248:
Ratio on the left side: 2.5/10 = 0.25
Ratio on the right side: ?/1248
To find if it's a proportion, we can simplify 1248 by dividing both the numerator and denominator by their greatest common factor, which is 24. This gives us:
128/52 = 32/13
Since 0.25 is not equal to 32/13, 2.510 = ?1248 is not a proportion.
For 2.52 = ?1224:
Ratio on the left side: 2.52/1 = 2.52
Ratio on the right side: ?/1224
Again, let's simplify 1224 by dividing both the numerator and denominator by their greatest common factor, which is 24. This gives us:
51/20
Since 2.52 is not equal to 51/20, 2.52 = ?1224 is also not a proportion.
Therefore, neither equation is a proportion.
Determine if one, both, or neither of the following is a proportion. 168=?2412, 84=?126(1 point)
Responses
Neither is a proportion.
Neither is a proportion.
84=126 only
Start Fraction 8 over 4 End Fraction equals Start Fraction 12 over 6 End Fraction only
168=2412 only
Start Fraction 16 over 8 End Fraction equals Start Fraction 24 over 12 End Fraction only
168=2412, 84=126
168 = ?2412:
Ratio on the left side: 168/1 = 168
Ratio on the right side: ?/2412
To find if it's a proportion, we can simplify 2412 by dividing both the numerator and denominator by their greatest common factor, which is 12. This gives us:
201/100 = 2.01
Since 168 is not equal to 2.01, 168 = ?2412 is not a proportion.
84 = ?126:
Ratio on the left side: 84/1 = 84
Ratio on the right side: ?/126
To find if it's a proportion, we can simplify 126 by dividing both the numerator and denominator by their greatest common factor, which is 6. This gives us:
21/1 = 21
Since 84 is equal to 21, 84 = ?126 is a proportion.
Therefore, out of the two equations, only 84 = ?126 is a proportion.