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Building numbers 2001-10-02
From Dorothy:
Using only the numbers 1, 2. 3 & 4 and the order of operations make problems that have the answers of 1 to 50. Use each digit only once per problem. Use +, -, x, (), exponents or use 2 digits to form a 2 digit number Example 1,2=21 or 12. No Division.

We have been able to do all the problems except finding the answers of 7, 22, 31, 34, 42, 43 and 50.


Answered by Claude Tardif.
The median of a trapezoid 2001-10-01
From Laura:
Given: A (1,2) B (9,-2) C (7,2) D (3,4)

Find the endpoints of the median. Use exact values. Write the equation using the letters from the given trapezoid. Verify the theorem using algebra.


Answered by Penny Nom.
1+2+3+...+1000 2001-10-01
From Louise:
Find a quick way to add all Intergers (whole Numbers) between 1 and 1000?
Answered by Walter Whiteley.
Proof by induction 2001-09-30
From Kyle:
I'm trying to learn induction and I need to see how this done please help with this problem...

20 + 21 + 22 +... + 2n = 2n+1 -1 is true whenever n is a positive integer.


Answered by Penny Nom.
Inverting a function 2001-09-30
From Brandie:
Could you please tell me what is the basic guideline for inverting a function

Example:
S(R)=2PiRal
V(R)=PiR(squared)bl
R(V)=?


Answered by Claude Tardif.
The 100 chart 2001-09-28
From Nich:
Am I suppose to use the 100 chart for these questions.

Question One:
I am a 2 digit number my tens digit is 2 more than my one digit my 1 digit is between 4 & 6. What # am I ?

Question Two:
I am a 2 digit # I am greater than 40 but less than 60 my tens and ones digits are the same I am a odd number what am I ?


Answered by Penny Nom.
Solitaire 2001-09-27
From Babahadj:
Il s'agit du probleme du solitaire avec des cases numerotees 1, 2 et 3. Un pion se trouve initialement sur chacune des cases, sauf la centrale qui est vide. Au depart, il ya 15 pions sur les cases avec le numero 1 , 15 pions sur des cases avec le numero 2, et 14 pions sur des cases avec le numero 3. Le seul mouvement pour un pion P consiste a manger un pion P' en sautant par dessus ce dernier , a condition que le pion P' soit situe sur une case voisine (horizontalement / verticalement) et que la case dans laquelle aboutit le pion P soit vide. En partant de cet etat initial , est - il possible d'arriver a un etat final avec un seul pion se trouvant sur une case portant le numero 1. Pourquoi? Merci de me repondre.
      1 2 3       
      2 3 1       
      3 1 2 
1 2 3 1 2 3 1 2 3 
2 3 1 2 3 1 2 3 1 
3 1 2 3 1 2 3 1 2       
      1 2 3       
      2 3 1       
      3 1 2 

Answered by Claude Tardif.
1:5 2001-09-27
From Sandy:
A colleague and I have a disagreement about dilutions. I seem to remember that I was taught (although it was a long time ago) that a RATIO was written thusly: 1:5 , and read " one part to five parts", for a total of 6 parts. On the other hand, a fraction is written: 1/5 and is read" one part in five" for a total of 5 parts. My colleague says that the ratio reads "one part in five" and is essentially the same as a fraction. Which is right? Have I been doing dilutions wrong all this time? I teach Animal Nursing and need to know where I can find a consise answer to such questions for making up medicated fluids, etc.
Answered by Penny Nom.
A bag with 3 red marbles and 2001-09-27
From Mike:
In a bag, there are 3 red marbles and "B" blue marbles. Two marbles are randomly selected from the bag without replacement. The probability that the two marbles are the same color is 0.5. Calculate the sum of all possible values of B.
Answered by Claude Tardif.
The triangle inequality 2001-09-27
From A student:
    
           __   __   __ 
Prove that AX + XB = AB for any X on AB.  

Answered by Chris fisher.
Find the pattern 2001-09-26
From A parent:
MY SON HAD ON A WORKSHEET WHAT I HAVE LISTED BELOW, BUT WE CAN'T SEEM TO FIND THE PATTERN. MOST THE TIME WE CAN, BUT THIS ONE IS DIFFERENT.

6,___, 9,____,____,_____,_____,_____


Answered by Caude Tardif.
Joan and Jan work together 2001-09-26
From Karyna:
Joan and Jan work together and they set up a bandstand in just 24 minutes, but if Joan does it by herself she takes 1 hour. How long would it take Jan to set up the bandstand by himself?
Answered by Claude Tardif.
Bicycles and tricycles 2001-09-26
From Sally:
A bicycle shop has 5 bicycles and tricycles to repair. They have 12 wheels. What strategy would you use to determine how many bicycles and tricycles need to be repaired?
Answered by Claude Tardif, Diane Hanson and Penny Nom.
Scoring a college placement test 2001-09-26
From Carmen:
A college placement test consist of 75 multiple-choice questions, each having 5 possible answers. The exam is scored by subtracting from the number of correct answers one-quarter of a point for each question answered incorrectly. If a person answers every question on the exam and scored 45, how many questions were answered wrong?
Answered by Penny Nom.
Investing in a yacht 2001-09-26
From Junior:
Marvin and his four friends wish to invest in a yacht by sharing equally in the cost. As the date of sale approaches, Marvin realizes that if three more people join the partnership, each partner's share would decrease by $18,000. How much does the yacht cost?
Answered by Penny Nom.
 
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