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

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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.

Mathematics

1 answer:

Leona [12.6K] · Answer 1 · 2026-02-17T08:11:56+03:00

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

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

When A is reduced to half while keeping C and D unchanged,

D. The value of X also reduces to half.

Step-by-step explanation:

The provided equation: $A=CDX$

After dividing both sides by (CD), we have:

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

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

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

That is, the value of x is $\dfrac{1}{15}$ .

If A is cut in half while C and D are left unchanged.

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

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

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

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