Bosco

Kathy Bransbury has a large piece of land in the country. Her land is a square plot and the northern edge is in a perfect east/west line (so is the southern edge if you think about it). The road enters her land at a point on the western edge 3 miles due south of the northwest corner and 7 miles as the crow flies from the north east corner. What is the area of the land in square miles?     

   by Pythagoras Theorem             7²  =  3² + S²   where S is the north edge of her square plot     

                                                      S²  =  7² – 3²  =  49 – 9     

                                                      Area  =  S²  =  40 square miles     

   _.      

   Mr. Jarvis invests a total of $6,853 in two savings accounts.     

   One account yields 7% simple interest and the other 6.5% simple interest.     

   He would like to find the amount placed in each account if a total of $459.15 in interest is received     

   after one year. Which system of linear equations below expresses this problem?     

   There are no choices shown below the problem, but here's an equation     

   you can use to solve the problem.  I trust that it's self-explanatory.     

   [ 0.07 • X ]  +  [ 0.065 • (6853 – X) ]  =  459.15     

   _.     

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?     

   1 ft = 0.3048 m     —>     1 m = (1 / 0.3048) ft = 3.2808 ft     

   H_wall = (15)(3.2808) ft =   49.212 ft     

   L_wall  = (60)(3.2808) ft = 196.848 ft     —>     Area_wall = (49.212 ft)(196.848 ft)     

                                                                                        = 9687.284 sqft     

   Paint req'd     —>     (9687.284 sqft) / (400 ^sqft/_gallon)  =  24.218 gal     

                 You can't buy 0.218 gallon, so you need to buy 25 gallons.     

   _.     

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   Shirley     

         2             2     

         7             9     

       12           21     

       17           38     

       22           60     

       27           87     

       32         119     

   _.     

Lou has a container that holds 8 quarts 4 cups of water.     

Bradley has a container thatbhold s twice as many gallons as the container.     

Both containers are 2/3 full with water.     

How many more gallons of water are in Bradley's container than Lou's?     

Lou    –>     8 quarts & 4 cups  =    9 qts     –>     2/3 x   9 qts  =    6 qts     

Brad  –>   16 quarts & 8 cups  =  18 qts     –>     2/3 x 18 qts  =  12 qts     

Brad has 6 more quarts.  At 4 qts per gallon, he has 1 ¹/₂  gallon more.     

   What is 3.896745221349(45.89932261)     

   The numbers are too long for an ordinary calculator.     

   Approximate as 3.8967 x 45.8993 = 178.85580231     

                                               round to 178.86     

   _.     

If an ant crawls from one corner to the other corner of a 3 \times 5 rectangle, then it will cross through seven squares.     

If the ant crawls from one corner to the other corner of a 15 \times 16 rectangle, then how many squares will it cross through?     

I used desmos.com to graph y = (15/16) x  and counted them:  The ant passes through 30 squares     

Note that in a 3x5 grid it was 7 and that in a 15x16 grid it was 30.     

Both times it equaled L + W – 1.  Could this be a rule for all grids?     

_.     

   if i charge 75 dollars and have an intrest rate of 12.5 how much will i have to pay after one month?     

   Principal  +  Interest     

   $75          +  ($75 x 0.125 x 1/12)  =     

   $75          +  $0.78                         =  $75.78     

_.     

   what is (3y + 5)-2 rewriten with a positive exponent     

   Assuming you mean (3y + 5) ^–2     

                                 1     

   (3y + 5) ^–2   =   ––––––––     

                            (3x + 5) ²     

   _.     

   In triangle ABC, the angles \angle A, \angle B, \angle C form an arithmetic sequence.     

   If \angle A + \angle B = 21^\circ, then what is \angle C, in degrees?     

   A + B + C  =  180^o     

   A + B         =    21^o     

                C  =  159^o     probably a typo in the problem     

   _.     

   help with (b) I had ended up with 7234.56 . . . but it came out incorrect...     

   V  =  (4 / 3) π r³     

       =  (4 / 3) • 3.1416 • (6 ft)³     

       =  (4 / 3) • 3.1416 • 216 ft³     

       =  904.7808 ft³     

   You got 7234 because you cubed the diameter instead of the radius.     

   _.