Bosco

   Laverne starts counting out loud by 5's.  She starts with 2.     

   As Laverne counts, Shirley sums the numbers Laverne says.     

   When the sum finally exceeds 100, Shirley runs screaming from the room.     

   What number does Laverne say that sends Shirley screaming and running?     

   Laverne:    2       7       12       17       22       27       32     

   Shirley:      2       9       21       38       60       87     119     

   _.     

   I drove to the beach at a rate of 40 miles per hour.     

   If I had driven at a rate of 50 miles per hour instead,     

   then I would have arrived 45 minutes later sooner.     

   How many miles did I drive?     

   D = R • T     let x = time              D  =  D     

                                                       x hr (40 mi/hr)  =  (x – 0.75 hr) (50 mi/hr)     

                                                                        40x  =  50x – 37.5     

                                                                      –10x  =  –37.5     

                                                                            x  =  3.75 hr     

                         D  =  40 mi/hr • 3.75 hr     

                         D  =  150 mi     

   check answer     

   Does (50mi/hr)(3.75 – 0.75 hr) also equal 150 mi  ?     

             50 mi/r • 3 hr  =  150 mi     

                       150 mi  =  150 mi  True     

   _.     

   All members of our painting team paint at the same rate.     

   If 20 members can paint a 2000 square foot wall in 40 minutes, then how long would it take

   the 20 members to paint a 6000 square foot wall, in minutes?     

   Visualize the 6000 ft² wall as three 2000 ft² walls.    

   The members paint the first wall and it takes them . . . . . . . . . .40 minutes.     

   They paint the second wall and it takes them . . . . . . . . . . . . .  40 minutes.     

   They paint the third wall and it takes them . . . . . . . . . . . . . . . . 40 minutes.     

                                                                                 total time     120 minutes     

   _.     

   How do you find a mean age of a sample?     

   Add all the numbers in the sample together, then divide that total      

   by how many numbers there are.     

   Did you know that the mean and the average are the same thing?     

   _.     

   2/6 + 1/5     

   It requires a common denominator.  Common means it's the same on both terms.     

   One sure way to determine a common denominator is to multiply the two together.     

   In this case, 6 • 5 = 30 is one common denominator.  There are others.     

     2          1    

   –––  +  ––– =     

     6          5     

    10         6        16                              8     

   –––  +  ––– =  –––     reduces to     –––     

    30        30        30                            15     

   _.     

   The following cards are split into three piles at random,     

   so that every pile contains the same number of cards.     

   What is the probability that every pile contains an Ace?     

   Ace of spades     

   Ace of hearts     

   Ace of diamonds     

   Ace of clubs     

   Two of spades     

   Two of hearts     

   Six cards, divided evenly into three piles, has two cards per pile.     

   There can be 6C2 different piles, i.e., 15 possible combinations.     

   There's only one way that a pile won't contain at least one Ace,     

   and that's if the stack happens to be composed of both Two's.     

   Since there are 15 combinations, the chance of that is 1 / 15.     

   So, mathematically the other 14 times there will not be a pile     

   that has both Two's.  In other words, 14 times out of 15 every     

   pile will have at least one Ace.  Probability 14 / 15 = 93.33%     

   _.