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91Ó°ÊÓ

In the following exercise, solve each equation with decimal coefficients.

0.10d+0.25(d+5)=4.05

Short Answer

Expert verified

Thesolutionforthegivenequationisd=8

Step by step solution

01

Step 1. Given information

The given equation is0.10d+0.25(d+5)=4.05

We have to sovle the given equation.

02

Step 2. Explanation

Solve:0.10d+0.25(d+5)=4.05⇒0.10d+0.25×(d)+0.25×(5)=4.05(Distribute)⇒0.10d+0.25d+1.25=4.05(Multiply)⇒0.35d+1.25=4.05(Combineliketerm)⇒0.35d+1.25−1.25=4.05-1.25(Subtract1.25frombothside)⇒0.35d=2.8(Simplify)⇒0.35d0.35=2.80.35(Dividebothsideby0.35)⇒d=8(Simplify)Thesolutionforthegivenequationisd=8

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