Answer:
84 arrangements
Step-by-step explanation:
First, we need to calculate the total number of roses that the shop owner has. We do this by adding the pink roses and the red roses that the owner has.
342 + 330 = 672 total roses
Now that we have the total number of roses we simply divide by the number of roses needed for each arrangement (8) in order to calculate the total number of arrangements that the owner can make.
672 / 8 = 84 arrangements
Factors of 18
If he has 1 friend, he gives 18 cookies
2 friends, 9 each
3 friends, 6 each
6 friends, 3 each
9 friends, 2 each
18 friends, 1 each
these are the common factors of 18. I don't know whether fractions are applicable here but I hope this helps.
We have

and

so the equation is indeed exact. So we want to find a function
such that


Integrating both sides of the first equation wrt
gives

Differentiating both sides wrt
gives

So we have

or

Answer: Found it
Step-by-step explanation: