5. Melody picks a number. She doubles the number, squares the result, divides the square by 3, subtracts 30 from the quotient, and gets 18. What are the possible numbers that Melody could have picked? What operation does Melody perform that prevents us from knowing with 100% certainty which number she picked?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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Number 5 thank you.
Apply Potya's 4 step strategy to the following problems:
3. A true-false quiz contains five questions. In how many ways can a
student answer the questions if the student answers two of the
questions with “false" and the other three with "true"?
4. If six people greet each other at a meeting by shaking hands with
one another, how many handshakes will take place?
5. Melody picks a number. She doubles the number, squares the
result, divides the square by 3, subtracts 30 from the quotient, and
gets 18. What are the possible numbers that Melody could have
picked? What operation does Melody perform that prevents us
from knowing with 100% certainty which number she picked?
Transcribed Image Text:Apply Potya's 4 step strategy to the following problems: 3. A true-false quiz contains five questions. In how many ways can a student answer the questions if the student answers two of the questions with “false" and the other three with "true"? 4. If six people greet each other at a meeting by shaking hands with one another, how many handshakes will take place? 5. Melody picks a number. She doubles the number, squares the result, divides the square by 3, subtracts 30 from the quotient, and gets 18. What are the possible numbers that Melody could have picked? What operation does Melody perform that prevents us from knowing with 100% certainty which number she picked?
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