Two consecutive integers have a sum of 67
1 answer:
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Answer:
30 acres of A
0 acres of B
Step-by-step explanation:
On forming the equations we get
Acres = A+B 30 .............(1)
Seed = 5A + 10B 200 ...........(2)
Profit = 160A+50B
Upon rearranging this we get
A= 30-B sing equation (1)
A=40-2B using equation (2)
On plotting these inequalities on the cartesian planes we will get the following points of intersection (0,20) (20,30) (30,0)
Now using these coordinates (A,B) to get Maximum profit
P= $1000 for (0,20)
P=$4700 for (20,30)
P= $4800 for (30,0)
clearly for (30,0) we will get the maximum profit on the crops
Answer: Permutation is involved , since order of prizes matters.
The number of different ways the prizes can be awarded =95060
Step-by-step explanation:
Given : Total number of people purchase lottery tickets =100
The number of prizes = 3
Since each prize can be claimed by only one person.
So order matters here, there for we use permutations .
The number of permutations of n objects taken m at a time is given by :-
Then, the number of different ways the prizes can be awarded :-