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The expression 12(x + 4) represents the total cost of CDs Mei bought in April and May at $12 each. Which property is applied to write the equivalent expression 12x + 48?

A- Associative Property of Addition
B- Associative Property of Multiplication
C- Commutative Property of Multiplication
D- Distributive Property


Sagot :

D because you have to distribute the twelve to complete the equation

Answer:

Option D is correct.

Distributive Property.

Step-by-step explanation:

The distributive property says that:

[tex]a \cdot (b+c) = a\cdot b + a\cdot c[/tex]

Given the expression:

[tex]12(x+4)[/tex]

which represents the total cost of CDs Mei bought in April and May at $12 each.

[tex]12(x+4)[/tex]

Using distributive property, we have;

[tex]12 \cdot x + 12 \cdot 4[/tex]

Simplify:

12x + 48

Therefore, the property which is applied to write the equivalent expression 12x+ 48 is, distributive property