Graphing Linear Equations Unit Test
1. Write the ratio 12:9 as an equivalent ratio of 4:x
To find the equivalent ratio, we need to find the value of x that makes the two ratios equivalent.
We can do this by setting up a proportion using the given ratio:
12/9 = 4/x
To solve for x, cross multiply and solve for x:
12x = 4*9
12x = 36
Divide both sides by 12 to isolate x:
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 that makes the ratio equivalent.
First, we can simplify the given ratio by dividing both the numerator and the denominator by their greatest common factor, which is 3 in this case.
12 ÷ 3 = 4
9 ÷ 3 = 3
So the simplified ratio is 4:3.
Now, we need to find the value of x that makes the ratio 4:3 equivalent to 4:x.
To do this, we can set up a proportion by cross-multiplying:
4/3 = 4/x
Cross-multiplying gives us:
4x = 4 * 3
Simplifying the right side of the equation:
4x = 12
Dividing both sides by 4:
x = 12/4
Simplifying the right side:
x = 3
Therefore, the equivalent ratio to 12:9 as 4:x is 4:3.
To solve this problem, we need to find the value of x that makes the ratio 12:9 equivalent to 4:x.
First, let's simplify the ratio 12:9. We can do this by dividing both numbers by their greatest common divisor (GCD). In this case, the GCD of 12 and 9 is 3.
Dividing both 12 and 9 by 3, we get:
12 ÷ 3 = 4
9 ÷ 3 = 3
So, the simplified ratio is 4:3.
Now, we need to find an equivalent ratio for 4:3 with a missing value for x. Since we know that the ratio is equivalent, we can set up the following equation:
4/3 = 4/x
To solve for x, we can cross-multiply:
4x = 4 * 3
4x = 12
Now, we can solve for x by dividing both sides of the equation by 4:
x = 12/4
x = 3
Therefore, the ratio 12:9 is equivalent to 4:3, and the missing value for x is 3.