Graphing Linear Equations Unit Test
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Question
Write the ratio 12:9 as an equivalent ratio of 4:x.(1 point)
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To find the equivalent ratio, we can set up a proportion. We know that 12:9 is equal to 4:x.
This can be written as:
12/9 = 4/x
To solve for x, we can cross multiply:
12x = 9*4
12x = 36
Now, we can solve for x by dividing both sides of the equation by 12:
x = 36/12
x = 3
Therefore, the equivalent ratio of 12:9 as 4:x is 4:3.
To write the ratio 12:9 as an equivalent ratio of 4:x, we need to find the value of x.
First, we can simplify the ratio 12:9 by dividing both of its terms by their greatest common factor.
The greatest common factor of 12 and 9 is 3.
So, by dividing both terms by 3, we get the simplified ratio: 4:3.
Now, we can set up a proportion to find the value of x.
4/3 = 4/x
To solve for x, we can cross multiply:
4x = 12
Dividing both sides of the equation by 4:
x = 3
Therefore, the equivalent ratio of 12:9 as 4:x is 4:3.
To write the ratio 12:9 as an equivalent ratio of 4:x, we need to find the value of x that corresponds to the given ratio.
To do this, we can set up a proportion where the two ratios are equal to each other:
12/9 = 4/x
To solve for x, we can cross multiply:
12 * x = 4 * 9
12x = 36
Now, divide both sides of the equation by 12 to isolate x:
x = 36/12
Simplifying the fraction, we get:
x = 3
Therefore, the equivalent ratio of 12:9 as 4:x is 4:3.