223k views
2 votes
Given the equation: (4x)/(3y) = 1/4, then what is the value of the ratio y/x?

A. 3/16
B. 4/3
C. 16/3
D. 1/12

User Erden
by
7.6k points

1 Answer

3 votes

Final answer:

To find the ratio y/x given the equation (4x)/(3y) = 1/4, we rearrange and solve to obtain y/x = 16/3, corresponding to option C.

Step-by-step explanation:

We are given the equation (4x)/(3y) = 1/4 and we need to find the value of the ratio y/x. We can rearrange the given equation to solve for y/x. Multiply both sides by 3y to get 4x = 3y/4. Then, divide both sides by x and multiply by 4 to isolate y/x:
(4x)/(x) = (3y/4)/(x)
4 = 3y/(4x)
y/x = 16/3

Therefore, the value of the ratio y/x is 16/3, which corresponds to option C. To find the value of the ratio y/x, we can rearrange the given equation (4x)/(3y) = 1/4 to solve for y/x. Cross multiplying gives us 4x = 3y. Dividing both sides by 3x gives us y/x = 4/3. Therefore, the value of the ratio y/x is B. 4/3.

User Aviran Katz
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories