Question

Hey please help, thank you!!

Answer 1

Answer:

D

Step-by-step explanation:

So we have the equation:

$A=\frac{1}{2}(12)(3+7)$

And we want to find out which of the answer choices is not equivalent.

Thus, let's go through each of the choices.

A)

We have:

$\frac{12(3+7)}{2}$

This is correct.

Our original equation can be written as:

$A=\frac{1}{2}(\frac{12(3+7)}{1})$

And if we multiply straight across:

$A=\frac{12(3+7)}{2}$

We'll get choice A. So choice A is correct.

B)

We have:

$6(3+7)$

This is also correct.

From our original equation:

$A=\frac{1}{2}(12)\cdot(3+7)$

If we multiply the first term together:

$A=6(3+7)$

We'll get choice B. So, choice B is correct.

C)

We have:

$0.5(12)(10)$

This is correct as well.

If we reduce 1/2 to decimal form and add the operations within the parentheses in the original equation, we will get:

$A=\frac{1}{2}(12)(3+7)\\A=0.5(12)(10)$

So, C is also correct.

D)

We have:

$\frac{12}{2}\times\frac{10}{2}$

Note that this is not correct.

This attempted to use the distributive property. However, the distribute property does not work for multiplication. For instance:

$3(2+1)\text{ indeed equals } 3(2)+3(1)$

However:

$3(2\times1)\text{ does not equal} 3(2)\times3(1)$

So, choice D is not equivalent.

So choice D is our answer :)

If we evaluate it, we will get 30, in contrast to the 60 of the others.