Question

solve the following equation for x. round the answer to the nearest hundredth. 0.6(10x + 12) = 4.4(0.2x + 5) a. 2.15 b. 0.35 c. 2.89 d. 4.30

Explanation:

Step1: Expand both sides

Expand \(0.6(10x + 12)\) to get \(6x+7.2\), and expand \(4.4(0.2x + 5)\) to get \(0.88x + 22\). So the equation becomes \(6x+7.2=0.88x + 22\).

Step2: Move x - terms to one side

Subtract \(0.88x\) from both sides: \(6x-0.88x+7.2=0.88x - 0.88x+22\), which simplifies to \(5.12x+7.2 = 22\).

Step3: Move constant to the other side

Subtract \(7.2\) from both sides: \(5.12x+7.2 - 7.2=22 - 7.2\), resulting in \(5.12x=14.8\).

Step4: Solve for x

Divide both sides by \(5.12\): \(x=\frac{14.8}{5.12}\approx2.89\).

Answer:

C. 2.89