DofotheroU

2021-08-03

Solve Equations with Decimal Coefficients In the following exercises, solve the equation by clearing the decimals.

$0.10d+0.25(d+5)=4.05$

opsadnojD

Skilled2021-08-04Added 95 answers

Step 1

The given equation is$0.10d+0.25(d+5)=4.05$

The equation$0.10d+0.25(d+5)=4.05$ can be solved as follows.

Wemultiply the decimal number by 100 to shift the decimal towards right hand side by two place.

Step 2

For clearing the decimals we multiply each term by 100.

$\Rightarrow 100\times 0.10d+100\times 0.25(d+5)=100\times 4.05$

$\Rightarrow 10d+25(d+5)=405$

$\Rightarrow 10d+25d+125=405$

Subtract 125 on sides.

$\Rightarrow 10d+25d+125-125=405-125$

$\Rightarrow 35d=280$

Divide both sides by 35.

$\Rightarrow \frac{35d}{35}=\frac{280}{35}$

$\Rightarrow \text{}d=8$

Therefore,$d=8$ is the solution of $0.10d+0.25(d+5)=4.05.$

The given equation is

The equation

Wemultiply the decimal number by 100 to shift the decimal towards right hand side by two place.

Step 2

For clearing the decimals we multiply each term by 100.

Subtract 125 on sides.

Divide both sides by 35.

Therefore,