Connor filled his 150 gallon pool with water in 6.25 hours. How many gallons per hour did he use?
1 answer:
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Answer:
Explanation:we will solve this question with help of linear programming.
Now, let Ben goes x times in buffalo trip and goes y times in Philadelphia trip. Thus, according to the question, Min Z= 180x+300y
And s.t.r. 2x+3y≤105, where x≥5, y≥15.
since at (0,0) 0≤105(true), so area of 2x+3y≤105 will cover the origin.
But, 0≥5 and 0≥15 are false, so their area will not cover the origin.
Thus, after drawing the graph of these three lines we will get a feasible reason of triangle ABC, where point A≡(5,31.667), B≡(5,15), and C≡(30,15)
Z at A- 180×5+300×31.667=10,400.1
at B-180×5+300×15=1350( which is minimum.)
at C- 180×30+300×15=5,850
Thus, Ben should go 5 times to buffalo trip and 15 times to Philadelphia to minimize his cost which is $1350.
Answer:
26*26*26 = 17576 ways to select 3 letters
10*10= 100 ways to select 2 numbers
So then the total number of ways are:
possible ways
Step-by-step explanation:
For this case we assume that we have 26 letters from A to Z and 10 numbers from 0 to 9 .
And we want to calculate the number of possible passwords possible if the password consists of 3 letters followed by 2 digits.
And for this case we can use the multiplication principle of combinatories, since we don't have any restriction about the letters of the numbers we can have repetition of letters or numbers.
For the number of possible letters:
26*26*26 = 17576 ways to select 3 letters
10*10= 100 ways to select 2 numbers
So then the total number of ways are:
possible ways