Solve Equations with Decimal Coefficients In the following exercises, solve the equation 0.10d+0.25(d+5)=4.05

DofotheroU

DofotheroU

Answered question

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

Answer & Explanation

opsadnojD

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.
100×0.10d+100×0.25(d+5)=100×4.05
10d+25(d+5)=405
10d+25d+125=405
Subtract 125 on sides.
10d+25d+125125=405125
35d=280
Divide both sides by 35.
35d35=28035
 d=8
Therefore, d=8 is the solution of 0.10d+0.25(d+5)=4.05.

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