1. Sharon saw 5 movies this month. Each was at least 11/2 hours long and the tot

Question

1. Sharon saw 5 movies this month. Each was at least 11/2 hours long and the total running time of all 5 was 8 hours and40 minutes. If the average length of the first 3 movies was100 minutes, what is the greatest possible length, in minutes, ofany of the movies? a. 110   b. 120   c. 130   d.140 e. 150 2. what is the area of the circle whose center is at theorigin and that passes through point (3,-3)? a. 32   b. 3    c.9   d. 18   e. 36 1. Sharon saw 5 movies this month. Each was at least 11/2 hours long and the total running time of all 5 was 8 hours and40 minutes. If the average length of the first 3 movies was100 minutes, what is the greatest possible length, in minutes, ofany of the movies? a. 110   b. 120   c. 130   d.140 e. 150 2. what is the area of the circle whose center is at theorigin and that passes through point (3,-3)? a. 32   b. 3    c.9   d. 18   e. 36

Explanation / Answer

of the three whose average length is 100, set 2 of those tohave the minimum, i.e. 90, minute runtimes. This maximizesthe third, which must have a 120 minute runtime for the average ofthe three to be 100 (90+90+120)/3 = 100 the two left over have a combined run time of 8 hr 40 minutesminus 300 minutes = 3 hours 40 minutes setting one of these equal to the minimum of 1.5 hours, we seethat the other is 220-90 = 130 minutes long so c) 130

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