Participated 81728

The school volleyball tournament was played on a one-on-one basis. One match lasted 15 minutes, and 3 hours and 45 minutes were played. Calculate how many teams participated.

Correct answer:

n =  6

Step-by-step explanation:

t1=15 min t2=3 60+45=225 min  m=t2/t1=225/15=15  m=n (n1)/2  15=n (n1)/2 0.5n2+0.5n+15=0 0.5n20.5n15=0  a=0.5;b=0.5;c=15 D=b24ac=0.5240.5(15)=30.25 D>0  n1,2=2ab±D=10.5±30.25 n1,2=0.5±5.5 n1=6 n2=5  n>0 n=n1=6   Verifying Solution:   z=2n (n1)=26 (61)=15

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