Find the values of the variable x in the following proportions
5/3 / 4/3 = x / 20/9
x= 25/9 =2.77777....
5/4 = x/3
x= 15/4 = 3.75
20/36 / 21/x
x= 189/5 = 37.8
Are my answers correct?
To verify if your answers are correct, let's go through each proportion step-by-step:
1) 5/3 / 4/3 = x / 20/9
To solve this proportion, we can cross-multiply:
(5/3) * (20/9) = (4/3) * x
(100/27) = (4/3) * x
Now, solve for x by multiplying both sides by (3/4):
x = (100/27) * (3/4) = 300/108 = 25/9 = 2.77777...
Hence, your answer for x as 25/9 is indeed correct.
2) 5/4 = x/3
To solve this proportion, we can cross-multiply:
(5/4) * 3 = x
15/4 = x = 3.75
So your answer for x as 15/4 (or 3.75 in decimals) is correct.
3) 20/36 / 21/x
To solve this proportion, we can multiply the divisor (21/x) with the reciprocal of the dividend (20/36):
(20/36) * (x/21)
Now, simplify the expression:
(20x) / (36 * 21) = (20x) / 756
We're not given any information about the value of x or the context of the proportion, so we can't calculate an exact numerical answer for x. However, as a proportion, (20x) / 756 is the correct representation.
Therefore, two out of the three answers you provided are indeed correct. Great job!