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91Ó°ÊÓ

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

0.05(q−5)+0.25q=3.05

Short Answer

Expert verified

Thesolutionforthegivenequationisq=11

Step by step solution

01

Step 1, Given information

The given equation is0.05(q−5)+0.25q=3.05

We have to solve the given equation.

02

Step 2. Explanaiton

Solve:0.05(q−5)+0.25q=3.05⇒0.05×(q)−0.05×(5)+0.25q=3.05(Distribute)⇒0.05q−0.25+0.25q=3.05(Multiply)⇒0.3q−0.25=3.05(Combineliketerm)⇒0.3q−0.25+0.25=3.05+0.25(Add0.25tobothsides)⇒0.3q=3.3(Simplify)⇒0.3q0.3=3.30.3(Dividebothsideby0.3)⇒q=11(Simplify)Thesolutionforthegivenequationisq=11

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