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Bess [88]
1 year ago
10

In one season a basketball team won 60 games and lost 20 games what are the ratios of games won to games lost

Mathematics
2 answers:
Nutka1998 [239]1 year ago
7 0

Answer:  3:1

Step-by-step explanation: For every 3 wins, there is 1 loss. 60/20=3    20/20=1.

Lilit [14]1 year ago
6 0
Answer: 60:20 or 1:3
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The base case is n=2. P(2) is true because 2 is prime.

Now lets use the inductive hypothesis. Lets take a number n > 2, and we will assume that P(k) is true for any integer k such that 1 < k < n. We want to show that P(n) is true. We may assume that n is not prime, otherwise, P(n) would be trivially true. Since n is not prime, there exist positive integers a,b greater than 1 such that a*b = n. Note that 1 < a < n and 1 < b < n, thus P(a) and P(b) are true. Therefore there exists primes p1, ...., pj and pj+1, ..., pl such that

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As a result

n = a*b = (p1*......*pj)*(pj+1*....*pl) = p1*....*pj*....pl

Since we could write n as a product of primes, then P(n) is also true. For strong induction, we conclude than P(n) is true for all integers greater than 1.

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