Write the ratio that compares 36 social media posts to 16 social media posts using fractional notation. Simplify the improper fraction to lowest terms.

To write "5 is to 1 as 20 is to 4" as a proportion in fractional notation, we can set up the equation:

$\frac{5}{1} = \frac{20}{4}$

Write the ratio 12:36 as an equivalent ratio of x:3

To find the equivalent ratio of 12:36 as a ratio of x:3, we can set up a proportion.

12:36 = x:3

To solve for x, we can cross-multiply:

12 * 3 = 36 * x
36 = 36x

Now, we can isolate x by dividing both sides of the equation by 36:

36/36 = 36x/36
1 = x

Therefore, the equivalent ratio of 12:36 as a ratio of x:3 is 1:3.

How do you write 4 is to 16 as 12 is to 48 as a proportion in fractional notation? Do not simplify your answer

To write "4 is to 16 as 12 is to 48" as a proportion in fractional notation, we can set up the equation:

$\frac{4}{16} = \frac{12}{48}$

A company pays their employees $20 per hour. Using fractional notation, write a proportion that represents how long an employee must work to make $80. Use x to represent the unknown number of hours.(1 point)

Responses

20x=1/80
20 over x is equal to 1 over 80

1/20=80/x
1 over 20 is equal to 80 over x

80/1=20/x
80 over 1 is equal to 20 over x

20/1=80/x
20 over 1 is equal to 80 over x

Describe three ways to write the ratio that compares 4 electronic devices for every 3 people.(1 point)

Responses

4 to 3, 3:4, 43

4 to 3, 4:3, 4/3

4 to 3, 4:3, 3/4

3 to 4, 3:4, 3/4

Three ways to write the ratio that compares 4 electronic devices for every 3 people are:

1) 4 to 3
2) 4:3
3) 4/3

How do you write 5 is to 1 as 20 is to 4 as a proportion in fractional notation?(1 point)

Responses

54=1/20

51=4/20

5:1 :: 20:4

51=20/4

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.

15x=45/5

15:45::x:5

15/45=x/5

15/45=5/x