Andy and bob took a test that had 120 problems. Andy got 30 more problems correct than bob. The number of problems that only andy got correct is six times the number of both boys got correct. There are 20 problem that neither boy got correct. How many problem did both boys get correct?

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Consider 6x2 + 6x + 1. which term immediately tells you that this expression is not a perfect square trinomial? justify your answer

What is the probability of throwing several dice with sum equal to 6 (six)? show the ways of possibilities for sum 6 (as the numerator) and the ways of throwing n dices for n = 1, 2, 3, 4 or 5 as denominator for all the questions to earn full credits. (a)throw one die, (b) throw two dice, (c) throw three dice (d) throw 4 dice, (e) throw 5 dice