Expert: Scotto - 4/15/2008

Question
QUESTION: The average of x, 1, 2, 3 is 4, find the average of x, 1 and 2.


ANSWER: The average is the sum of the numbers (x,1,2,3) divided by 4.  This can be used to find x.  They then ask you to find the average of x,1, and 2, so just put in x and take the average.

Thank you for the question and have a great day.

---------- FOLLOW-UP ----------

QUESTION: a triangle has three different integers side lengths and a perimeter of 20 units. what is the maximam length of any one side ?

answer was 9

ANSWER: The longest side has to be less than the sum of the other two sides or you won't have a triangle.  What happens when one side is 11?  How about 10?

---------- FOLLOW-UP ----------

QUESTION: 15.   What is the smaller angle between the hour hand and minute hand at 6:50?
(A) 120°
(B) 115°
(C) 105°
(D) 100°
(E)   95°  

Answer
Hour Hand
Note that there are 30 degrees in an hour.  The hour hand is at 30h depending on the hour plus a little bit more.  At 60 minutes, its the next hour, and this has to add 30 degrees to the answer, so divide the minutes by 2 to get the number of degrees that have passed.

Minute Hand
The hour can be calculated in this way and then the minutes on the minute hand need to be multiplied by 6 to get the number of degrees that the minute hand has moved.

Answer
Use 6 hours and 50 minutes to calculate the degrees for each of the hands and then take the difference.  If the answer gotten was over 180 degrees, subtract this answer from 360 to get the smaller angle.

Thanks
Hope this explains it and feel free to answer more questions.