4. For numbers 4 to 6, refer to the given problem. Alice's house uses a high-end security system. Her front door needs a 5-digit code. Alice's mother visited the house but no one was home and she cannot remember the complete digits of the code. All she can remember are the first three digits which are 789. She remembered however, that the units digits is twice the tens digit increased by 3. The number is 3 more than twice the sum of the digits. What is the representation of the units digit? O A. X о в. 2х О С. 2х + 3 о D. 2х- 3 5. What equation should be used to solve the problem? O A. x+ 2x + 3 = 3 + 2(2x + 3) O B. X + 2x + 3 = 3 + 2(x + 2x + 3) O C. 10x + 2x - 3 = 3 + 2(2x - 3) O D. 10x + 2x + 3 = 3 + 2(x + 2x + 3) 6. What are the last 2 digits of the code? O A. 15 О в. 24 О С. 33 O D. 42

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 25P
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ANSWER #4 #5 #6. ANSWERS ONLY
4.
For numbers 4 to 6, refer to the given problem.
Alice's house uses a high-end security system. Her front door needs a 5-digit code. Alice's mother visited the house but no one was home
and she cannot remember the complete digits of the code. All she can remember are the first three digits which are 789. She remembered
however, that the units digits is twice the tens digit increased by 3. The number is 3 more than twice the sum of the digits.
What is the representation of the units digit?
О А.Х
о в. 2х
О С. 2х + 3
о D. 2х - 3
5. What equation should be used to solve the problem?
O A. x + 2x + 3 = 3 + 2(2x+ 3)
O B. X + 2x + 3 = 3 + 2(x + 2x + 3)
O C. 10x + 2x - 3 = 3 + 2(2x - 3)
O D. 10x + 2x + 3 = 3 + 2(x + 2x + 3)
6. What are the last 2 digits of the code?
O A. 15
о в. 24
О С. 33
O D. 42
Transcribed Image Text:4. For numbers 4 to 6, refer to the given problem. Alice's house uses a high-end security system. Her front door needs a 5-digit code. Alice's mother visited the house but no one was home and she cannot remember the complete digits of the code. All she can remember are the first three digits which are 789. She remembered however, that the units digits is twice the tens digit increased by 3. The number is 3 more than twice the sum of the digits. What is the representation of the units digit? О А.Х о в. 2х О С. 2х + 3 о D. 2х - 3 5. What equation should be used to solve the problem? O A. x + 2x + 3 = 3 + 2(2x+ 3) O B. X + 2x + 3 = 3 + 2(x + 2x + 3) O C. 10x + 2x - 3 = 3 + 2(2x - 3) O D. 10x + 2x + 3 = 3 + 2(x + 2x + 3) 6. What are the last 2 digits of the code? O A. 15 о в. 24 О С. 33 O D. 42
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