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Emilia wrote the expression X + 0.4x.

Which of these is another way to write Emilia's expression?
A. X + 0.4 + x
B. 0.4(2x)
C. 1.4x
D. 2x + 0.4

User Silijon
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1 Answer

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Final answer:

Emilia's expression X + 0.4x simplifies to 1.4x by factoring out the common variable X. Thus, option C, 1.4x, is equivalent to the original expression.

Step-by-step explanation:

The expression Emilia wrote, X + 0.4x, is a simple algebraic expression that combines a variable, X, and 40% of that same variable. To find another way to write this expression, we can factor out X from both terms. Doing so, we see that X is a common factor and we have:
X(1 + 0.4) = X (1.4)
This simplifies to 1.4x, as 1 X + 0.4 X equals 1.4 times X.

Therefore, among the provided options, C. 1.4x is an equivalent expression to X + 0.4x, since it maintains the same relationship between the variables and coefficients.

User Pegues
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