The cardinality of the set B is given to be 96.
<h3>What is the cardinality of a set?</h3>
This is the term that is used to refer to the number of elements that a given set can be said to contain.
This is a set that has numbers that ranges from 5 to 100, this tells us that the numbers 1, 2, 3, 4 are excluded from the set.
Hence the total numbers excluded is 4. 100 - 4 = 96
Therefore from 5 to 100, the total 9 and the cardinality of the set B is 96.
Read more on the cardinality of a set here: brainly.com/question/23976339
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The answer is:
(1,4) into (5,2)
(3,1) into (7,-1)
(1,1) into (5,-1)
Answer:
Physical education
Step-by-step explanation:
Let,the time taken by larger pipe = x
By smaller pipe = x+5
It would be: 1/x + 1/(x+5) = 9/100
= x+5+x /(x)(x+5) = 9/100
= 2x+5 / x²+5x = 9/100
= 100(2x + 5) = 9(x² + 5x)
= 200x + 500 = 9x² + 45x
= 9x² - 155x - 500 = 0
= 9x² - 180x + 25x - 500 = 0
= 9x(x - 20) + 25(x - 20) = 0
= (9x + 25) (x - 20) = 0
= x = -25/9 or x = 20
Time can't be in negative so -25/9 is rejected.
Now,x + 5 = 20 + 5 = 25
In short, Your Larger pipe takes 20 minutes and smaller pipe takes 25 minutes
Hope this helps!
