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91Ó°ÊÓ

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

0.10d+0.25(d+7)=5.25

Short Answer

Expert verified

Thesolutionforthegivenequationisd=10

Step by step solution

01

Step 1. Given information

The given equation is0.10d+0.25(d+7)=5.25

We have to solve the givne equation.

02

Step 2. Explanation

Solve:0.10d+0.25(d+7)=5.25⇒0.10d+0.25×(d)+0.25×(7)=5.25(Distribute)⇒0.10d+0.25d+1.75=5.25(Multiply)⇒0.35d+1.75=5.25(Combineliketerm)⇒0.35d+1.75−1.75=5.25-1.75(Subtract1.75frombothside)⇒0.35d=3.5(Simplify)⇒0.35d0.35=3.50.35(Dividebothsideby0.35)⇒d=10(Simplify)Thesolutionforthegivenequationisd=10

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