Question

Given the formula $$D=ABC$$ , what is the formula for $$C$$ ?

Answer 1

Hint: In this question, given the formula $$D=ABC$$ and we need to find the formula of $$C$$ with the help of the given formula . An expression is nothing but it is built up with integers, constants, variables. Mathematically, a symbol (letter) which doesn’t have a value is called a variable. Similarly when it has a fixed value it is called constant. We can find the formula of $$C$$ by keeping $$C$$ as stable and moving $$A$$, $$B$$ to the other side.

Complete step by step solution:
Given, $$D=ABC$$
The formula of $$D$$ is given by the product of the three values $$A$$, $$B$$ and $$C$$. We need to find the formula of $$C$$. The formula of $$C$$ can be found if it is drawn from the given formula by keeping $$C$$ on one side and moving other terms to the opposite side.
$$D=ABC$$
First we need switch their sides,
$$\Rightarrow ABC=D$$
By keeping $$C$$ as stable and moving $$A$$,$$B$$ to other side ,
We get, $$C={\displaystyle \frac{D}{AB}}$$
Thus we get the formula of $$C$$
The formula of $$C$$ is $$D$$ divided by the product of $$A$$ and $$B$$.
The formula of $$C={\displaystyle \frac{D}{AB}}$$

Note:
Mathematically, many expressions include variables. Variables are classified into free variables and bounded variables. A simple example of algebraic expression is $$3x+2$$ , here $$x$$ is the variable, $$3$$ is the coefficient of $$x$$ and $$2$$ is the constant which also has a definite value. There are three types of expression namely monomial expression, binomial expression and polynomial expression.
Alternative solution :
We can also find the formula of $$C$$ by division method.
Given,
$$D=ABC$$
We need to divide both sides by $$AB$$ to find the formula of $$C$$ by keeping the given expression balanced.
$$\Rightarrow {\displaystyle \frac{D}{AB}}={\displaystyle \frac{ABC}{AB}}$$
[On the right side, $$A$$ and $$B$$ at both numerator and denominator get cancel out ]
By dividing,
We get,
$$\Rightarrow {\displaystyle \frac{D}{AB}}=C$$
Thus we get the formula of $$C$$.