In each case, simplify the given expression, if possible. \( \quad 0.01 x+0.35 x\)

Short Answer

Expert verified
Question: Simplify the following algebraic expression: \(0.01 x + 0.35 x\) Answer: \(0.36x\)

Step by step solution

01

Identify like terms

Identify the like terms in the given expression. In this case, both terms have the same variable "x". \(0.01x\) and \(0.35x\) are like terms.
02

Add like terms

Add the coefficients of the like terms and keep the same variable: \(0.01x + 0.35x = (0.01 + 0.35) x\)
03

Calculate the sum of the coefficients

Add the numeric coefficients: \(0.01 + 0.35 = 0.36\)
04

Substitute the sum back into the expression

Replace the sum of the coefficients back into the expression: \((0.01 + 0.35) x = 0.36x\) The simplified expression is \(0.36x\).

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