Question
Write the ratio 12:36
as an equivalent ratio of x:3
.(1 point)
To write the ratio 12:36 as an equivalent ratio of x:3, we need to find a common multiplier that can be used to multiply both 12 and 36 to make the second number equal to 3.
First, let's simplify the ratio 12:36 by dividing both numbers by their greatest common factor, which is 12:
12 ÷ 12 = 1
36 ÷ 12 = 3
So the simplified ratio is 1:3.
To find the common multiplier, we divide the desired second number (3) by the current second number (3):
3 ÷ 3 = 1
Now, we can multiply both numbers in the ratio by this common multiplier to create the equivalent ratio:
1 × 1 = 1
3 × 1 = 3
Therefore, the equivalent ratio of 12:36 as x:3 is 1:3.
The ratio 12:36 can be simplified by dividing both numbers by their greatest common factor, which is 12.
12 ÷ 12 = 1
36 ÷ 12 = 3
So the simplified ratio is 1:3.
To find the equivalent ratio of x:3, we need to find what value of x would make the ratio equivalent.
Since 1 corresponds to x, we get the equation:
1/x = 1/3
Cross-multiplying, we have:
3 = x
Therefore, the equivalent ratio of 12:36 as x:3 is x:3 = 3:3.
Write the ratio 12:36
as an equivalent ratio of x:3
.(1 point)
Write the ratio 12:36
as an equivalent ratio of x:3
.(1 point)
To find the equivalent ratio of 12:36 as x:3, we first simplify the given ratio by dividing both numbers by their greatest common factor, which is 12.
12 ÷ 12 = 1
36 ÷ 12 = 3
So, the simplified ratio is 1:3.
Now, we need to find the value of x that corresponds to 1 in the ratio 1:3. We can set up a proportion:
1/x = 1/3
Cross-multiplying, we have:
3 = x
Therefore, the equivalent ratio of 12:36 as x:3 is x:3 = 3:3.
How do you write 4 is to 16 as 12 is to 48 as a proportion in fractional notation? Do not simplify your answer.(1 point)
To write the ratio 4 is to 16 as 12 is to 48 as a proportion in fractional notation, we set up the following equation:
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
To represent how long an employee must work to make $80 using fractional notation, we can set up the following proportion:
$20 / 1 hour = $80 / x hours
In fractional notation, this can be written as:
20/1 = 80/x
Question
Which of the following, Option 1 or Option 2, is a proportion?
Option 1: 78=2022
Option 2: 78=2124