Answer:
a) will definitely be an odd number
Step-by-step explanation:
4^n is always even (when you multiply even and even number, the product is always even)
when you add one to even number, the sum is always odd
so 4^n +1 is odd.
Answer:
Let the smaller number be x
Then the sum is
(6 + 2x) + x = 27
We now find for x
2x + x + 6 = 27
3x + 6 = 27
3x = 27-6
3x = 21
x = 21/3
x = 7
Therefore the smaller number is 7
The larger number is (2×7) + 6 = 20
Answer:
D
Step-by-step explanation:
So we have the equation:

And we want to find out which of the answer choices is <em>not</em> equivalent.
Thus, let's go through each of the choices.
A)
We have:

This is correct.
Our original equation can be written as:

And if we multiply straight across:

We'll get choice A. So choice A is correct.
B)
We have:

This is also correct.
From our original equation:

If we multiply the first term together:

We'll get choice B. So, choice B is correct.
C)
We have:

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:

So, C is also correct.
D)
We have:

Note that this is not correct.
This attempted to use the distributive property. However, the distribute property does <em>not work</em> for multiplication. For instance:

However:

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.