they are the same so set them equal
3x-10=2x+40 now combine like terms
3x-2x=40+10
x=50
Answer:
Lets a,b be elements of G. since G/K is abelian, then there exists k ∈ K such that ab * k = ba (because the class of ab,
is equal to
, thus ab and ba are equal or you can obtain one from the other by multiplying by an element of K.
Since K is a subgroup of H, then k ∈ H. This means that you can obtain ba from ab by multiplying by an element of H, k. Thus,
. Since a and b were generic elements of H, then H/G is abelian.
The number of bottles in a full box is 12.
<u><em>Explanation</em></u>
Suppose, the number of bottles in a full box is 
So, the number of bottles in <u>three</u> full boxes 
Now, two more boxes are added, both of which have <u>one fewer bottle than the other three</u>. So, the number of bottles in these two boxes 
As there were 9 bottles initially and now there are 67 bottles in the fridge, <em><u>so the equation will be</u></em>....

Thus, the number of bottles in a full box is 12.
72 if your needing to times them