Which expression is equivalent to (4x + 7y) + 5z?
A) 4x + (7y + 5z)
B) 4x(7y + 5z)
C) 11xy + 5z
D) 16xyz
Please help me :(
posted by unknown 2
today at 5:18pm
this is stupid
ghost in your house
you stink
think associative property of addition ...
WriteTeacher can you please help me???
i hate denis....i really do!
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To simplify the expression (4x + 7y) + 5z, you need to use the distributive property, which states that a(b + c) is equal to ab + ac.
So let's simplify step by step:
(4x + 7y) + 5z
First, apply the distributive property to (4x + 7y) by multiplying each term inside the parentheses by 1:
4x + 7y + 5z
Now, you can rearrange the terms in any order you like since addition is commutative.
So the equivalent expression is:
4x + 7y + 5z
Comparing it to the given options:
A) 4x + (7y + 5z) - This expression is equivalent to the original one.
B) 4x(7y + 5z) - This expression is the product of 4x multiplied by (7y + 5z) and is not equivalent.
C) 11xy + 5z - This expression combines the terms 4x and 7y incorrectly and is not equivalent.
D) 16xyz - This expression is a completely different expression and is not equivalent.
Therefore, the answer is option A) 4x + (7y + 5z).