a)
To find: The system of equations to model the given situation is,
a)
Answer to Problem 13PPE
Required system of equations to model given situation is,
Explanation of Solution
Given information: Show will last 90 min and will include 12 solo and 2 ensemble acts. Another show lasting 60 min will include 6 solo and 2 ensemble acts.
Concept used:
Let each solo is performed for x minutes and ensemble act for y minutes. And form two linear equations in these two variables based on two given conditions. Then solve them together using elimination method. An equation is formed using following statement of equality,
Calculation: Based on first condition given, first equation is formed as,
Using second condition, second equation is formed as,
Conclusion: Above two equations form the system of linear equations to model the given situation.
b)
To find: The duration of each solo act as well as ensemble act.
b)
Answer to Problem 13PPE
Duration of each solo act is 5 minutes and of each ensemble act is 15 minutes.
Explanation of Solution
Given information: Two linear equations modeling given situations as obtained in part (a) are,
Concept used: As the difference of coefficients of y terms in both equations is zero in given equations, so solve them using elimination method to get the values of x and y.
Calculation:
Subtract second equations from first equation and solve for x as,
Use second equation,
Conclusion: So, solo act will be played for 5 minutes each and ensemble act will be played for 15 minutes each.
Chapter 6 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
Additional Math Textbook Solutions
Intermediate Algebra for College Students (7th Edition)
College Algebra (6th Edition)
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
College Algebra with Modeling & Visualization (5th Edition)
College Algebra with Modeling & Visualization (6th Edition)
Elementary Algebra: Concepts and Applications (10th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education