Bosco

   Two numbers are independently selected from the set of positive integers less than or equal to 3.     

   What is the probability that the sum of the two numbers is greater than their product?     

   Express your answer as a common fraction.     

   Numbers          Sum          Product     

      1, 1                  2                  1     

      1, 2                  3                  2     

      1, 3                  4                  3     

      2, 2                  4                  4     

      2, 3                  5                  6     

      3, 3                  6                  9         Probability the sum is greater than the product  3 / 6     

   _.     

   New York to Baltimore is 190 miles          190 mi / 175 ^mi/_hr  =  1.0857 hr     1 hr, 5 min, 9 sec     

   Baltimore to Tallahasse is 905 miles         905 mi / 250 ^mi/_hr  =  3.6200 hr     3 hr, 31 min, 12 sec     

   _.     

   weekly return 0n $200000 at 3% interest only     

     200,000 • 0.03     

   ––––––––––––––   =   115.38     

              52     

   Note:  Depending on compounding, the principal in a given week might be more than $200,000,

              thereby making the interest for that week more than in the above calculation.     

   _.     

Will and Grace are canoeing on a lake.  Will rows at $50$ meters per minute and Grace rows at $30$ meters per minute. Will starts rowing at $2$ p.m. from the west end of the lake, and Grace starts rowing from the east end of the lake at $2{:}45$ p.m. If they always row directly towards each other, and the lake is $2800$ meters across from the west side of the lake to the east side, at what time will the two meet?      

   D = Rate • Time       D_WILL     +  D_GRACE          =  2800 m     

                                   (50) (T)  +  (30) (T – 45)  =  2800      

                                       50T    +  30T  – 1350   =  2800 m     

                                                                    80T  =  4150     

                                                                        T  =  51.875 min     note that 0.875 • 60 = 43.75 call it 44     

                                      2:00 + (51 min 44 sec)  =  2:52 & 44 sec P.M.     

   _.     

   I have to paint one side of a wall.  The wall is $15$ meters tall and $60$ meters long.     

   Each gallon of paint covers $400$ square feet. If a foot is approximately $0.3048$ meters, then     

   what is the smallest whole number of gallons I can buy and have enough paint to cover the whole wall?     

   15 m / 0.3048 ^m/_ft  =    49.2126 ft     

   60 m / 0.3048 ^m/_ft  =  196.8504 ft     

                        Area  =  (49.2126 ft)(196.8504 ft)     

                        Area  =  9687.52 sqft     

                        Paint  =  9687.52 sqft / 400 ^sqft/_gal     

                        Paint  =  24.22 gal     but you can't buy just 0.22 of a gallon     

                so,   Paint  =  25 gal     

   _.     

   what is 456 divided by450     

       456     

      ––––   =   1 ⁶/₄₅₀   =   1 ¹/₇₅     

       450     

   _.