Answer:
y=-3
Step-by-step explanation:
31=4-9y
9y=4-31
9y=-27
y=-27/9
y=-3
Answer:
360 grams of cereal
Step-by-step explanation:
First you have to do 540 times 8 to find out how many grams of cereal he ate over the eight weeks.
Then you have to divide the answer by 12 to get 360 grams of cereal.
I hope this helped ;)
We know that the percentage amount of any number can be found by first converting the the given percentage to a fraction and then multiplying it by the given number. Thus, in our case, the exact value, that is 48% of 1165 can be calculated as follows:
We know that 
Therefore, 48% of 1165 can be re-written as: 
This can be calculated as [tex]0.48\times 1165=559.2[/tex
Therefore The exact value that is 48% of 1165 is 559.2
first you have to add the -4 to the -2 and you get 2. so 2x=2 then you divide 2 by 2x and get x=1
When
, we have


and of course 3 | 6. ("3 divides 6", in case the notation is unfamiliar.)
Suppose this is true for
, that

Now for
, we have

so we know the left side is at least divisible by
by our assumption.
It remains to show that

which is easily done with Fermat's little theorem. It says

where
is prime and
is any integer. Then for any positive integer
,

Furthermore,

which goes all the way down to

So, we find that

QED