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Mary spent a total of $323.14 for a party.she spent a total of $200.22 on food,plus an additional $30.73 for each hour of the party.how long was the party?

Question part points submissions used suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a party. of these 100 tickets, only 12 are winning tickets. the generalized pigeonhole principle guarantees that there must be a streak of at least l losing tickets in a row. find l.

What is the area of the trapezoid shown ?