The value of y varies directly with x. If x = 5 when y = 12, what is the value of x whon y = 30?

Since the value of y is directly proportional to the value of x, when y = 30, x is equal to 12.5.

Given the following data:

To find the value of x when y = 30:

Since the value of y varies directly with x.

This ultimately implies that, the value of y is directly proportional to the value of x.

Mathematically, this is represented as follows:

First of all, we would determine the constant of proportionality (k).

Substituting the given parameters into the formula, we have;

Now, we can solve for x when y = 30:

x = 12.5

Read more: link

Step-by-step explanation:

y = kx, where k is a real constant.

When y = 12, x = 5.

=> (12) = (5)k, k = 2.4.

Therefore when y = 30,

x = y/k = (30)/(2.4) = 12.5.

The answer is 12.5.

step-by-step explanation:

1

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,