Question

Rearrange the equation to isolate X .A=CDX X= If C=5.00 , D=9.00 , and A=3.00 , what is the value of X ?X= If A is halved while C and D remain constant, what happens to the value of X ?
A. The value of X is doubled.
B. The value of X is tripled.
C. The value of X does not change.
D. The value of X is halved.

Answer 1

Answer: $X=\dfrac{A}{CD}$

If C=5.00 , D=9.00 , and A=3.00 ,  , then the value of x = $\dfrac{1}{15}$.

If A is halved while C and D remain constant,

D. The value of X is halved.

Step-by-step explanation:

The given equation : $A=CDX$

Divide both sides by (CD) , we get

$\dfrac{A}{CD}=X$

Or  $X=\dfrac{A}{CD}$                     (i)

If C=5.00 , D=9.00 , and A=3.00 , then

$X=\dfrac{3}{5\times9}=\dfrac{1}{15}$

i.e. The value of x = $\dfrac{1}{15}$.

If A is halved while C and D remain constant.

Let $A'=\dfrac{A}{2}$

Then ,

$X'=\dfrac{A'}{CD}=\dfrac{(\dfrac{A}{2})}{CD}\\\\=\dfrac{A}{2CD}$

i.e. $X'=(\dfrac{1}{2})(\dfrac{A}{CD})=\dfrac{1}{2}(X)$     [From  (i)]

Thus , If A is halved while C and D remain constant, then the value of X is halved.