Desmond plans to sell his homemade dog biscuits. He has baked 143,265 biscuits. He is planning to put 45 biscuits per package, and wonders if he will have any left over. Desmond knows a number is divisible by 45 if it is divisible by both 5 and 9. State the divisibility rule for 5 and 9.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Desmond plans to sell his homemade dog biscuits. He has baked 143,265 biscuits. He is planning to put 45 biscuits per package, and wonders if he will have any left over. Desmond knows a number is divisible by 45 if it is divisible by both 5 and 9. State the divisibility rule for 5 and 9. Show how to use them to determine if 143,265 is divisible by 45. Then explain why the divisibility rule for either 5 or 9 works.

Formula Formula d d x f g = g × d d x f - f × d d x g g 2 , i f g ≠ 0

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