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91Ó°ÊÓ

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

0.05(q−8)+0.25q=4.10

Short Answer

Expert verified

Thesolutionforthegivenequationisq=15

Step by step solution

01

Step 1. Given information

The given equation is0.05(q−8)+0.25q=4.10

We have to solve the given equation.

02

Step 2. Explanation

Solve:0.05(q−8)+0.25q=4.10⇒0.05×(q)−0.05×(8)+0.25q=4.10(Distribute)⇒0.05q−0.4+0.25q=4.10(Multiply)⇒0.3q−0.4=4.10(Combineliketerm)⇒0.3q−0.4+0.4=4.10+0.4(Add0.4bothsides)⇒0.3q=4.5(Simplify)⇒0.3q0.3=4.50.3(Dividebothsideby0.3)⇒q=15(Simplify)Thesolutionforthegivenequationisq=15

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