Tutoring  |  Bookmark Us  |  FREE to Join!            New User? Sign Up  |  Sign In  |  Help
Students Ask Questions--Tutors Answer
TutorAnswer.com
TutorsTeach.com
ask.
answer.
discover.
     
Search for questions :
My Profile

Doctor Bob

Open Questions Bookmark and Share

If m is a non-zero positive integer, and if 3 +16 / m is an integer less than 19, which of the following must be true of m? (The answer is "m is even" but I don't see why.) ?

If m is a non-zero positive integer, and if 3 +16 / m is an integer less than 19, which of the following must be true of m? (The answer is "m is even" but I don't see why.) Be careful of PEMDAS here because the division takes place before the addition.

Posted 244 day ago

    Report Abuse
   Find Interesting  
   Email to Friends  
   Bookmark  
   Subscribe to Answer Alert  
Answers (2)

The question must be written as: If 3+(16/m) is an integer etc...
Obviously, if m = 2, 4, 8 and 16, all would satisfy the problem statement.

Posted 228 day ago

( 0 )
( 0 )
   Report Abuse

If m = 1, then 3 + 16 / m = 19, which is NOT less than 19. Therefore m is not 1.
If 3 + 16 / m is an integer, 16 / m has to be an integer.
Therefore m must be 2,4,8, or 16, all of which are even.
Therefore m is even.

Thank you for the privilege of answering your question. I hope it is correct.

Posted 244 day ago

( 3 )
( 0 )
   Report Abuse
Edit your answer. Click save, when done.
Question Title If m is a non-zero positive integer, and if 3 +16 / m is an integer less than 19, which of the following must be true of m? (The answer is \"m is even\" but I don\'t see why.) ?
Your Answer
Character Count ( Max. - 5000 ) : 262
Email this question link to friends
You must enter email-address, if name is entered and vice-versa for each friend.
Friend #1 -
Friend #2 -
Friend #3 -
Friend #4 -
Friend #5 -
Enter Security Code : *

 

©2009 TutorAnswer.com, All rights reserved! • Contact us • Terms & Conditions • Privacy Policy • Follow Us on Twitter