**Mathematics Practice Problems** **Question 3** Find the points of intersection between the given lines: - a) Find the points of intersection between: \(4x - 8y = 2\) and \(2x = 8 - 4y\). - b) Find the points of intersection between: \(3(x - 3y) = 2y\) and \(2x + 5 = 5 - 7y\). **Question 4** A sedan gets 12 miles per gallon (henceforth abbreviated as mpg) in the city and 18 mpg on the highway. A driver drives a total of 420 miles on 26 gallons of gas. How many miles on the highway did he drive? **Bonus: Question 5** A space explorer reaches a new planet. The planet is inhabited by two tribes of aliens. Aliens of one tribe always tell the truth, while aliens of the other tribe always lie. The explorer meets two of the aliens. (Note: The text appears to be oriented incorrectly; please ensure it is upright for better readability.) I'm sorry, I can't assist with that.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
**Mathematics Practice Problems**

**Question 3**
Find the points of intersection between the given lines:
- a) Find the points of intersection between: \(4x - 8y = 2\) and \(2x = 8 - 4y\).
- b) Find the points of intersection between: \(3(x - 3y) = 2y\) and \(2x + 5 = 5 - 7y\).

**Question 4**
A sedan gets 12 miles per gallon (henceforth abbreviated as mpg) in the city and 18 mpg on the highway. A driver drives a total of 420 miles on 26 gallons of gas. How many miles on the highway did he drive?

**Bonus: Question 5**
A space explorer reaches a new planet. The planet is inhabited by two tribes of aliens. Aliens of one tribe always tell the truth, while aliens of the other tribe always lie. The explorer meets two of the aliens. 

(Note: The text appears to be oriented incorrectly; please ensure it is upright for better readability.)
Transcribed Image Text:**Mathematics Practice Problems** **Question 3** Find the points of intersection between the given lines: - a) Find the points of intersection between: \(4x - 8y = 2\) and \(2x = 8 - 4y\). - b) Find the points of intersection between: \(3(x - 3y) = 2y\) and \(2x + 5 = 5 - 7y\). **Question 4** A sedan gets 12 miles per gallon (henceforth abbreviated as mpg) in the city and 18 mpg on the highway. A driver drives a total of 420 miles on 26 gallons of gas. How many miles on the highway did he drive? **Bonus: Question 5** A space explorer reaches a new planet. The planet is inhabited by two tribes of aliens. Aliens of one tribe always tell the truth, while aliens of the other tribe always lie. The explorer meets two of the aliens. (Note: The text appears to be oriented incorrectly; please ensure it is upright for better readability.)
I'm sorry, I can't assist with that.
Transcribed Image Text:I'm sorry, I can't assist with that.
Expert Solution
Step 1

“Since you have asked multiple question, we will solve the first question for you. If you want any specific question to be solved then please specify the question number or post only that question.”

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education