Excursions In Modern Mathematics, 9th Edition
9th Edition
ISBN: 9780134494142
Author: Tannenbaum
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 25E
Mark, Tim, Maia, and Kelly are dividing a cake among themselves using the lone-divider method. The divider divides the cake into four slices
Table
 |
 |
 |
 |
|
| Mark | 20% | 32% | 28% | 20% |
| Tim | 25% | 25% | 25% | 25% |
| Maia | 15% | 15% | 30% | 40% |
| Kelly | 24% | 24% | 24% | 28% |
a. Who was the divider?
b. Find a fair division of the cake.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
1 2
21. For the matrix A
=
3 4
find AT (the transpose of A).
22. Determine whether the vector
@
1
3
2
is perpendicular to
-6
3
2
23. If v1
=
(2)
3
and v2 =
compute V1 V2 (dot product).
.
7. Find the eigenvalues of the matrix
(69)
8. Determine whether the vector
(£)
23
is in the span of the vectors
-0-0
and
2
2
1. Solve for x:
2. Simplify:
2x+5=15.
(x+3)² − (x − 2)².
-
b
3. If a = 3 and 6 = 4, find (a + b)² − (a² + b²).
4. Solve for x in 3x² - 12 = 0.
-
Chapter 3 Solutions
Excursions In Modern Mathematics, 9th Edition
Ch. 3 - Henry, Tom, and Fred are breaking up their...Ch. 3 - Alice, Bob, and Carlos are dividing among...Ch. 3 - Angie, Bev, Ceci, and Dina are dividing among...Ch. 3 - Mark, Tim, Maia, and Kelly are dividing among...Ch. 3 - Allen, Brady, Cody, and Diane are sharing a cake....Ch. 3 - Carlos, Sonya, Tanner, and Wen are sharing a cake....Ch. 3 - Four partners Adams, Benson, Cagle, and Duncan...Ch. 3 - Prob. 8ECh. 3 - Suppose that Angelina values strawberry cake twice...Ch. 3 - Suppose that Brad values chocolate cake thrice as...
Ch. 3 - Suppose that Brad values chocolate cake four as...Ch. 3 - Suppose that Angelina values strawberry cake five...Ch. 3 - Karla and five other friends jointly buy the...Ch. 3 - Marla and five other friends jointly buy the...Ch. 3 - Suppose that they flip a coin and Jackie ends up...Ch. 3 - Suppose they flip a coin and Karla ends up being...Ch. 3 - Suppose that they flip a coin and Martha ends up...Ch. 3 - Suppose that they flip a coin and Nick ends up...Ch. 3 - Suppose that David is the divider and Paula is the...Ch. 3 - Suppose that Paula is the divider and David is the...Ch. 3 - Three partners are dividing a plot of land among...Ch. 3 - Three partners are dividing a plot of land among...Ch. 3 - Four partners are dividing a plot of land among...Ch. 3 - Four partners are dividing a plot of land among...Ch. 3 - Mark, Tim, Maia, and Kelly are dividing a cake...Ch. 3 - Allen, Brady, Cody; and Diane are sharing a cake...Ch. 3 - Prob. 27ECh. 3 - Four partners are dividing a plot of land among...Ch. 3 - Prob. 29ECh. 3 - Five players are dividing a cake among themselves...Ch. 3 - Four partners Egan, Fine, Gong, and Hart jointly...Ch. 3 - Four players Abe, Betty, Cory, and Dana are...Ch. 3 - Exercises 33 and 34 refer to the following...Ch. 3 - Exercises 33 and 34 refer to the following...Ch. 3 - Exercise 35 through 38 refer to the following...Ch. 3 - Exercise 35 through 38 refer to the following...Ch. 3 - Prob. 37ECh. 3 - Prob. 38ECh. 3 - Exercises 39 and 40 refer to the following:...Ch. 3 - Exercises 39 and 40 refer to the following:...Ch. 3 - Jackie, Karla, and Lori are dividing the foot-long...Ch. 3 - Jackie, Karla, and Lori are dividing the foot-long...Ch. 3 - Ana, Belle, and Chloe are dividing four pieces of...Ch. 3 - Andre, Bea, and Chad are dividing an estate...Ch. 3 - Five heirs A,B,C,D, and E are dividing an estate...Ch. 3 - Oscar, Bert, and Ernie are using the method of...Ch. 3 - Anne, Bette, and Chia jointly own a flower shop....Ch. 3 - Al, Ben and Cal jointly own a fruit stand. They...Ch. 3 - Ali, Briana, and Caren are roommates planning to...Ch. 3 - Anne, Bess and Cindy are the roommates planning to...Ch. 3 - Prob. 51ECh. 3 - Three players (A,B and C) are dividing the array...Ch. 3 - Three players (A,B,andC) are dividing the array of...Ch. 3 - Three players (A,B,andC) are dividing the array of...Ch. 3 - Five players (A,B,C,D,andE) are dividing the array...Ch. 3 - Four players (A,B,C,andD) are dividing the array...Ch. 3 - Prob. 57ECh. 3 - Queenie, Roxy, and Sophie are dividing a set of 15...Ch. 3 - Ana, Belle, and Chloe are dividing 3 Choko bars, 3...Ch. 3 - Prob. 60ECh. 3 - Prob. 61ECh. 3 - Prob. 62ECh. 3 - Prob. 63ECh. 3 - Prob. 64ECh. 3 - Three players A, B, and C are sharing the...Ch. 3 - Angeline and Brad are planning to divide the...Ch. 3 - Prob. 67ECh. 3 - Efficient and envy-free fair divisions. A fair...Ch. 3 - Suppose that N players bid on M items using the...Ch. 3 - Asymmetric method of sealed bids. Suppose that an...Ch. 3 - Prob. 73E
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- 5. Find the derivative of f(x) = 6. Evaluate the integral: 3x3 2x²+x— 5. - [dz. x² dx.arrow_forward5. Find the greatest common divisor (GCD) of 24 and 36. 6. Is 121 a prime number? If not, find its factors.arrow_forward13. If a fair coin is flipped, what is the probability of getting heads? 14. A bag contains 3 red balls and 2 blue balls. If one ball is picked at random, what is the probability of picking a red ball?arrow_forward
- 24. What is the value of ¿4, where i 25. Simplify log2 (8). = −1? 26. If P(x) = x³- 2x² + 5x - 10, find P(2). 27. Solve for x: e2x = 7.arrow_forward9. Solve the differential equation: 10. Find the general solution of dy + y = 0. dy 33 dx 3x².arrow_forward3. Differentiate f(x) = x² sin(x). 4. Evaluate the limit: sin(2x) lim xarrow_forward
- 1. Solve for x in the equation: 2. If A = (1/3 2/) 4 x³-3x²+4=0 find the determinant of A.arrow_forwardListen ANALYZING RELATIONSHIPS Describe the x-values for which (a) f is increasing or decreasing, (b) f(x) > 0 and (c) f(x) <0. y Af -2 1 2 4x a. The function is increasing when and decreasing whenarrow_forwardBy forming the augmented matrix corresponding to this system of equations and usingGaussian elimination, find the values of t and u that imply the system:(i) is inconsistent.(ii) has infinitely many solutions.(iii) has a unique solutiona=2 b=1arrow_forward3/4+1/2=arrow_forwardif a=2 and b=1 1) Calculate 49(B-1)2+7B−1AT+7ATB−1+(AT)2 2)Find a matrix C such that (B − 2C)-1=A 3) Find a non-diagonal matrix E ̸= B such that det(AB) = det(AE)arrow_forward1.2.17. (!) Let G,, be the graph whose vertices are the permutations of (1,..., n}, with two permutations a₁, ..., a,, and b₁, ..., b, adjacent if they differ by interchanging a pair of adjacent entries (G3 shown below). Prove that G,, is connected. 132 123 213 312 321 231arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
ALGEBRAIC EXPRESSIONS & EQUATIONS | GRADE 6; Author: SheenaDoria;https://www.youtube.com/watch?v=fUOdon3y1hU;License: Standard YouTube License, CC-BY
Algebraic Expression And Manipulation For O Level; Author: Maths Solution;https://www.youtube.com/watch?v=MhTyodgnzNM;License: Standard YouTube License, CC-BY
Algebra for Beginners | Basics of Algebra; Author: Geek's Lesson;https://www.youtube.com/watch?v=PVoTRu3p6ug;License: Standard YouTube License, CC-BY
Introduction to Algebra | Algebra for Beginners | Math | LetsTute; Author: Let'stute;https://www.youtube.com/watch?v=VqfeXMinM0U;License: Standard YouTube License, CC-BY