Bosco

Ms. Rathman has 5 nickels, 3 dimes, and 2 quarter. In how many ways can she make change for 50¢?     

25  25     

25  10  10  5     

25  10  5  5  5     

25  5  5  5  5  5     

10  10  10  5  5  5  5           I count 5 ways.  If you find another, give me a call.     

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Amanda and her group of friends spent a total of 35.50 on 7 hot dogs and 6 cheese burgers. Greg and his group of friends spent 30.50 at the same snack bar on 5 hot dogsand 6 cheese burgers. For your answer WRITE THE EQUATIONS and state how much hot dogs cost and cheese burgers cost.     

                    7D + 6B  =  35.50     

                    5D + 6B  =  30.50     

                    2D           =  5.00     

                               D  =  2.50     

                    (7)(2.50) + 6B  =  35.50     

                         17.50 + 6B  =  35.50     

                                      6B  =  18.00     

                                        B  =  3.00     

_.     

what will be the nature of physical quantity if a 75 kg man is running at 25 m/s^2     

               The phrase "is running" implies velocity, but m/s² is acceleration.     

               Continuing on that basis, mass times acceleration equals force     

               kilograms times meters per second squared equals newtons     

               In this example, it is 75 kg • 25 m / s²  =  1875 newtons     

_.     

An aquarium tank is 1/6 full of water. When 2 gallons of water are added, the tank becomes 1/2 full. What is the total capacity of the aquarium tank, in gallons?     

                                     tank begins with         ........  1 / 6   full     

2 more gallons makes the tank be half full      ........  3 / 6  full     

this demonstrates that adding 2 gallons adds ........  2 / 6  of a tank     

therefore 1 gallon is 1 / 6 tank which means that the tank holds 6 gallons     

_.     

Solve 3a + 4b = 5a - 6b + 24 - 3a for a in terms of b.     

                    3a + 4b  =  5a – 6b + 24 – 3a     

Move all the a's to one side, everything else to the other side.     

                    3a – 5a + 3a  =  – 6b + 24 – 4b     

                                       a  =  24 – 10b     

_.     

In the diagram below, P is a point inside square ABCD.  Find x.     

                         ABCD is a square     

                         AP + PC form a diagonal of that square     

                         AP + PC  =  2     

                         Therefore the side of the square is sqrt(2)     

                         x  =  sqrt(2)     

_.     

Solve 3a + 4b = 5a - 6b + 24 - 3a for a in terms of b.     

Gather the a's on one side and everything else on the other.     

Make sure to change polarity when you go across the = sign.     

     3a – 5a + 3a  =  – 6b – 4b + 24     

                       a  =  24 – 10b     

_.     

Give two concrete models for each geometric term.     
- point     

- line     

- plane     

A point is like the dot at the end of this sentence.  It has no dimensions.     

A line is like a bowstring stretched taut.  It has one dimension, length.     

A plane is like a sheet of paper.  It has two dimensions, length and width.     

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