2:x and 12:18 identify the value of x that makes each pair of ratios equivalent
A.(3)
B.4
C.6
Right.
right
To find the value of x that makes the two given ratios equivalent, set up a proportion.
The ratio 2:x is equal to the ratio 12:18.
Write the proportion as:
2/x = 12/18
Cross-multiply:
2 * 18 = 12 * x
36 = 12x
Divide both sides by 12:
36/12 = 12x/12
3 = x
Therefore, the value of x that makes the two ratios equivalent is 3.
So, the correct answer is A. (3)
To identify the value of x that makes the ratios in each pair equivalent, we can use the concept of proportionality.
For the first pair, 2:x, we need to find the value of x.
To do that, we can set up a proportion:
2/x = 12/18
To solve this proportion, we can cross-multiply:
2 * 18 = 12 * x
36 = 12x
Now, we can solve for x by dividing both sides of the equation by 12:
36/12 = x
3 = x
Therefore, the value of x that makes the first pair of ratios equivalent is 3.
Now let's move to the second pair, 12:18, and find the value of x.
Again, we can set up a proportion:
12/x = 12/18
Cross-multiply:
12 * 18 = 12 * x
216 = 12x
Divide both sides by 12:
216/12 = x
18 = x
Therefore, the value of x that makes the second pair of ratios equivalent is 18.
To summarize:
For the first pair, the value of x is 3.
For the second pair, the value of x is 18.
Based on these calculations, none of the given options (A. 3, B. 4, C. 6) match the value of x that makes both pairs of ratios equivalent.