9 Players on a Soccer Team (In Professional Soccer, teams have 11 Players. In recreational Soccer, a team can haveonly five, seven or nine players on the bench, and can make just three substitutions throughout the match.)
P=s r t , so, s= P/(st)
17
6 Pockets on a Snooker Table
s is directly proportional to t
50
G = 9, L = 1, O = 5, 6 or 7, P = 3, 4 or 5 and S = any unused digit...
v = d/t = 30m/9s = 3.33... metres per second.
pokemon dude to the rescue
9 Players on a Base Ball Team (should be Baseball, only one B)
31
P = p + at 82 = 76 + a*20 6 = a*20 6/20 = a that is a = 3/10 or 0.3 That is the answer.
Prove: [ P -> Q AND R -> S AND (P OR R) ] -> (Q OR S) -> NOT, --- 1. P -> Q ___ hypothesis 2. R -> S ___ hypothesis 3. P OR R ___ hypothesis 4. ~P OR Q ___ implication from hyp 1. 5. ~R OR S ___ implication from hyp 2 6. ~P OR Q OR S ___ addition to 4. 7. ~R OR Q OR S ___ addition to 5. 8. Let T == (Q OR S) ___ substitution 9. (~P OR T) AND (~R OR T) ___ Conjunction 6,7 10. T OR (~P AND ~R) ___ Distribution from 9 11. T OR ~(P OR R) ___ De Morgan's theorem 12. Let M == (P OR R) ___ substitution 13. (T OR ~M) AND M ___ conjunction 11, hyp 3 From there, you can use distribution to get (T AND M) OR (~M AND M). The contradiction goes away leaving you with T AND M, which can simplify to T.