Write the ratio 12:36 as an equivalent ratio of x:3 .(1 point)
To find the equivalent ratio of x:3, we need to find a value for x that has the same ratio with 3 as 12 has with 36.
To do this, we set up a proportion:
12/36 = x/3
To find x, we cross multiply:
12 * 3 = 36 * x
36 = 36x
Dividing both sides by 36:
1 = x
Therefore, the equivalent ratio of 12:36 as 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.
We can write the proportion 4 is to 16 as 12 is to 48 in fractional notation as:
4/16 = 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=180
20
x
=
1
80
20 over x is equal to 1 over 80
801=20x
80
1
=
20
x
80 over 1 is equal to 20 over x
120=80x
1
20
=
80
x
1 over 20 is equal to 80 over x
201=80x
Using fractional notation, we can write the proportion as:
20/x = 80/1
To write the ratio 12:36 as an equivalent ratio of x:3, we need to find the value of x.
First, we find the greatest common divisor (GCD) of 12 and 36, which is 12.
Next, we divide both terms of the ratio 12:36 by 12 to simplify it.
12 ÷ 12 = 1
36 ÷ 12 = 3
So the simplified ratio is 1:3.
Now, we can set up a proportion to find the value of x:
1/3 = x/3
To solve for x, we cross-multiply:
3x = 3
Divide both sides of the equation by 3 to isolate x:
3x/3 = 3/3
x = 1
Therefore, the equivalent ratio of 12:36 as x:3 is 1:3.
To find an equivalent ratio, we need to determine the value of "x" that will create a proportional relationship with the given ratio.
First, we observe that both 12 and 36 are divisible by 12. Dividing both numbers by 12, we get 1 and 3, respectively.
Now, we can set up a proportion to find the value of "x" in the ratio x:3:
12/36 = x/3
To solve for "x," we cross multiply:
36 * x = 12 * 3
36x = 36
Dividing both sides of the equation by 36, we find:
x = 1
Therefore, the equivalent ratio of 12:36 as x:3 is 1:3.