Answer: 8:4:12 I believe...
Step-by-step explanation: If the order is 2-his brother 1-his friend- and 3- himself, then I believe his brother would get eight, his friend 4, and he would have twelve.
I'm sorry, all you did was say something. We need a question if you want an answer.
Answer:
The travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buy
Step-by-step explanation:
step 1
<em>Find out the unit rate of a regular tube of toothpaste</em>
we know that
To find out the unit rate, divide the total cost by the total weight
so
step 2
<em>Find out the unit rate of a travel size tube of toothpaste</em>
we know that
To find out the unit rate, divide the total cost by the total weight
so
step 3
Find out the percent of increase
we have that
The unit rate represent the 100%
so by proportion
Find out what percentage represent the difference ($0.83-$0.78=$0.05 per ounce)
therefore
The travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buy
The rows add up to
, respectively. (Notice they're all powers of 2)
The sum of the numbers in row
is
.
The last problem can be solved with the binomial theorem, but I'll assume you don't take that for granted. You can prove this claim by induction. When
,
so the base case holds. Assume the claim holds for
, so that
Use this to show that it holds for
.
Notice that
So you can write the expansion for
as
and since
, you have
and so the claim holds for
, thus proving the claim overall that
Setting
gives
which agrees with the result obtained for part (c).
-8 and -7, I used guess and check