Evan bought 6 batteries at $10 apiece and 6 batteries at $4 apiece. The total cost was the same as he would have spent buying 6 batteries at $14 apiece.

So, \((6 \times 10) + (6 \times 4) = 6 \times 14\).

Which property does the equation illustrate?

6 * $10 + 6 * $4 = 6 * $14 It's the distributive law property - the formula is:
a * b + a * c = a * (b + c)
In this situation:
a = 6 b = 10 c = 4
And 6 * $10 + 6 * $4 = 6 * $14 is the same as 6 * $10 + 6 * $4 = 6 * ($10 + $4)

Answered by SlowZasob | 2024-06-10

(6x10)+ (6x4) = 6x 14 expression denotes distributive law.

What is distributive law or distributive property?
Mathematicians refer to the distributive law , or distributive property , as the law relating **multiplication **and addition , expressed symbolically as a(b + c) = ab + ac . This law describes how the monomial factor a is divided between the binomial factors b + c, producing the product ab + ac.
In this question the expression given as (6x10)+ (6x4) = 6x 14 :
which can be explained according to distributive law :
14 can be written as 10+4 as binomial factors of 14 which implies that :
a = 6, b= 10, c= 4
**a(b + c) = ab + ac **
6 x 14 = 6 x (10+4)
= 6 x 10 + 6 x 4
Therefore, (6x10)+ (6x4) = 6x 14 expression denotes **distributive law. **

Read more about **distributive law ** at:
https://brainly.com/question/5637942
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Answered by vishalsisodiya | 2024-06-16

The equation illustrates the distributive property, which states that a ( b + c ) = ab + a c . In this case, 14 is expressed as 10 + 4 , allowing for the multiplication to be distributed. This confirms the equality of the total cost for batteries on both sides of the equation.
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Answered by vishalsisodiya | 2024-09-04