Question

How do u write 5 is to 1 as 20 is to 4 as a proportion in fractional notation

Answer 1

You fill up your car with 15 gallons of gas at a cost of 45 using fractional notation how do u write a proportion that shows how much 5 gallons of gas will cost use x to represent the unknown cost

Answer 2

To write "5 is to 1 as 20 is to 4" as a proportion in fractional notation, we set up the ratio of the first pair and the ratio of the second pair:

5/1 = 20/4

To simplify this proportion, we can divide both the numerator and denominator of the second pair by their greatest common divisor, which is 4:

5/1 = (20/4) ÷ (4/4)
5/1 = 5/1

Therefore, 5 is to 1 as 20 is to 4 can be written as the proportion:

5/1 = 20/4

Answer 3

To write a proportion that shows how much 5 gallons of gas will cost, we can set up the following proportion:

15 gallons / $45 = 5 gallons / x

To solve for x, we can cross-multiply and then divide:

15x = 5 * $45
15x = $225

Finally, we divide both sides by 15 to isolate x:

x = $225 / 15

Simplifying further, we can divide both the numerator and denominator by their greatest common divisor, which is 15:

x = $15

Therefore, 5 gallons of gas will cost $15.