Answer:
In a certain animal shelter, the ratio of the number of dogs to the number of cats is 15 to 7. If 12 additional cats were to be taken in by the shelter, the ratio of the number of dogs to the number of cats would be 15 to 11. How many dogs are in the shelter?
A. 15
B. 25
C. 30
D. 45
E. 60
Let's put it into numbers:
Ruba: 1 000 000
Zamba: 100 000 000 000
Zamba has many more aliens than Ruba!!!
it has 100 000 000 000/1 000 000 =100 000 times more aliens,
in absolute numbers: 100 000 000 000 - 1000 000 = =99 999 900 000
100 000 000 000
- 100 000
=99 999 900 000
Answer:
The farmer should plant 14 additional trees, for maximum yield.
Step-by-step explanation:
Given



So, we have:


Required
The additional trees to be planted for maximum yield
The function is:


Open bracket



Rewrite as:

Differentiate

Equate
to 0 and solve for x to get the maximum of x


Divide by -4

The farmer should plant 14 additional trees, for maximum yield.
The answer is x=20. Hope this helps.