Explanation Given information: The total cost is $ 3 . Assume the number of pennies, dimes and quarters are x , y , z . The number of coins is, x + y + z = 50 x = 50 − y − z The values of coins are, 1 nickle = $ 0.01 1 dime = $ 0.10 1 quarte = $ 0.25 The total cost is, T = 0

Discrete Mathematics: Introduction to Mathematical Reasoning

1st Edition

ISBN: 9780495826170

Author: Susanna S. Epp

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

Videos

Question

Chapter 4.3, Problem 34ES

To determine

To explain: Whether the combination of pennies, dimes and quarters that add up to $3 is possible or not.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.3, Problem 33ES

Chapter 4.3, Problem 35ES

Students have asked these similar questions

12:25 AM Sun Dec 22 uestion 6- Week 8: QuX Assume that a company X + → C ezto.mheducation.com Week 8: Quiz i Saved 6 4 points Help Save & Exit Submit Assume that a company is considering purchasing a machine for $50,000 that will have a five-year useful life and a $5,000 salvage value. The machine will lower operating costs by $17,000 per year. The company's required rate of return is 15%. The net present value of this investment is closest to: Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using the tables provided. 00:33:45 Multiple Choice О $6,984. $11,859. $22,919. ○ $9,469, Mc Graw Hill 2 100-

No chatgpt pls will upvote

7. [10 marks] Let G = (V,E) be a 3-connected graph. We prove that for every x, y, z Є V, there is a cycle in G on which x, y, and z all lie. (a) First prove that there are two internally disjoint xy-paths Po and P₁. (b) If z is on either Po or P₁, then combining Po and P₁ produces a cycle on which x, y, and z all lie. So assume that z is not on Po and not on P₁. Now prove that there are three paths Qo, Q1, and Q2 such that: ⚫each Qi starts at z; • each Qi ends at a vertex w; that is on Po or on P₁, where wo, w₁, and w₂ are distinct; the paths Qo, Q1, Q2 are disjoint from each other (except at the start vertex 2) and are disjoint from the paths Po and P₁ (except at the end vertices wo, W1, and w₂). (c) Use paths Po, P₁, Qo, Q1, and Q2 to prove that there is a cycle on which x, y, and z all lie. (To do this, notice that two of the w; must be on the same Pj.)

Chapter 4 Solutions

Discrete Mathematics: Introduction to Mathematical Reasoning

Ch. 4.1 - Prob. 1ES Ch. 4.1 - Prob. 2ES Ch. 4.1 - Prob. 3ES Ch. 4.1 - Prob. 4ES Ch. 4.1 - Prob. 5ES Ch. 4.1 - Prob. 6ES Ch. 4.1 - Prob. 7ES Ch. 4.1 - Prob. 8ES Ch. 4.1 - Prob. 9ES Ch. 4.1 - Prob. 10ES

Ch. 4.1 - Prob. 11ES Ch. 4.1 - Prob. 12ES Ch. 4.1 - Prob. 13ES Ch. 4.1 - Prob. 14ES Ch. 4.1 - Prob. 15ES Ch. 4.1 - Prob. 16ES Ch. 4.1 - Prob. 17ES Ch. 4.1 - Prob. 18ES Ch. 4.1 - Prob. 19ES Ch. 4.1 - Prob. 20ES Ch. 4.1 - Prob. 21ES Ch. 4.1 - Prob. 22ES Ch. 4.1 - Prob. 23ES Ch. 4.1 - Prob. 24ES Ch. 4.1 - Prob. 25ES Ch. 4.1 - Prob. 26ES Ch. 4.1 - Prob. 27ES Ch. 4.1 - Prob. 28ES Ch. 4.1 - Prob. 29ES Ch. 4.1 - Prob. 30ES Ch. 4.1 - Prob. 31ES Ch. 4.1 - Prob. 32ES Ch. 4.1 - Prob. 33ES Ch. 4.1 - Prob. 34ES Ch. 4.1 - Prob. 35ES Ch. 4.1 - Prob. 36ES Ch. 4.1 - Prob. 37ES Ch. 4.1 - Prob. 38ES Ch. 4.1 - Prob. 39ES Ch. 4.1 - Prob. 40ES Ch. 4.1 - Prob. 41ES Ch. 4.1 - Prob. 42ES Ch. 4.1 - Prob. 43ES Ch. 4.1 - Prob. 44ES Ch. 4.1 - Prob. 45ES Ch. 4.1 - Prob. 46ES Ch. 4.1 - Prob. 47ES Ch. 4.1 - Prob. 48ES Ch. 4.1 - Prob. 49ES Ch. 4.1 - Prob. 50ES Ch. 4.1 - Prob. 51ES Ch. 4.1 - Prob. 52ES Ch. 4.1 - Prob. 53ES Ch. 4.1 - Prob. 54ES Ch. 4.1 - Prob. 55ES Ch. 4.1 - Prob. 56ES Ch. 4.1 - Prob. 57ES Ch. 4.1 - Prob. 58ES Ch. 4.1 - Prob. 59ES Ch. 4.1 - Prob. 60ES Ch. 4.1 - Prob. 61ES Ch. 4.1 - Prob. 62ES Ch. 4.1 - Prob. 63ES Ch. 4.2 - Prob. 1ES Ch. 4.2 - Prob. 2ES Ch. 4.2 - Prob. 3ES Ch. 4.2 - Prob. 4ES Ch. 4.2 - Prob. 5ES Ch. 4.2 - Prob. 6ES Ch. 4.2 - Prob. 7ES Ch. 4.2 - Prob. 8ES Ch. 4.2 - Prob. 9ES Ch. 4.2 - Prob. 10ES Ch. 4.2 - Prob. 11ES Ch. 4.2 - Prob. 12ES Ch. 4.2 - Prob. 13ES Ch. 4.2 - Prob. 14ES Ch. 4.2 - Prob. 15ES Ch. 4.2 - Prob. 16ES Ch. 4.2 - Prob. 17ES Ch. 4.2 - Prob. 18ES Ch. 4.2 - Prob. 19ES Ch. 4.2 - Prob. 20ES Ch. 4.2 - Prob. 21ES Ch. 4.2 - Prob. 22ES Ch. 4.2 - Prob. 23ES Ch. 4.2 - Prob. 24ES Ch. 4.2 - Prob. 25ES Ch. 4.2 - Prob. 26ES Ch. 4.2 - Prob. 27ES Ch. 4.2 - Prob. 28ES Ch. 4.2 - Prob. 29ES Ch. 4.2 - Prob. 30ES Ch. 4.2 - Prob. 31ES Ch. 4.2 - Prob. 32ES Ch. 4.2 - Prob. 33ES Ch. 4.2 - Prob. 34ES Ch. 4.2 - Prob. 35ES Ch. 4.2 - Prob. 36ES Ch. 4.2 - Prob. 37ES Ch. 4.2 - Prob. 38ES Ch. 4.2 - Prob. 39ES Ch. 4.3 - Prob. 1ES Ch. 4.3 - Prob. 2ES Ch. 4.3 - Prob. 3ES Ch. 4.3 - Prob. 4ES Ch. 4.3 - Prob. 5ES Ch. 4.3 - Prob. 6ES Ch. 4.3 - Prob. 7ES Ch. 4.3 - Prob. 8ES Ch. 4.3 - Prob. 9ES Ch. 4.3 - Prob. 10ES Ch. 4.3 - Prob. 11ES Ch. 4.3 - Prob. 12ES Ch. 4.3 - Prob. 13ES Ch. 4.3 - Prob. 14ES Ch. 4.3 - Prob. 15ES Ch. 4.3 - Prob. 16ES Ch. 4.3 - Prob. 17ES Ch. 4.3 - Prob. 18ES Ch. 4.3 - Prob. 19ES Ch. 4.3 - Prob. 20ES Ch. 4.3 - Prob. 21ES Ch. 4.3 - Prob. 22ES Ch. 4.3 - Prob. 23ES Ch. 4.3 - Prob. 24ES Ch. 4.3 - Prob. 25ES Ch. 4.3 - Prob. 26ES Ch. 4.3 - Prob. 27ES Ch. 4.3 - Prob. 28ES Ch. 4.3 - Prob. 29ES Ch. 4.3 - Prob. 30ES Ch. 4.3 - Prob. 31ES Ch. 4.3 - Prob. 32ES Ch. 4.3 - Prob. 33ES Ch. 4.3 - Prob. 34ES Ch. 4.3 - Prob. 35ES Ch. 4.3 - Prob. 36ES Ch. 4.3 - Prob. 37ES Ch. 4.3 - Prob. 38ES Ch. 4.3 - Prob. 39ES Ch. 4.3 - Prob. 40ES Ch. 4.3 - Prob. 41ES Ch. 4.3 - Prob. 42ES Ch. 4.3 - Prob. 43ES Ch. 4.3 - Prob. 44ES Ch. 4.3 - Prob. 45ES Ch. 4.3 - Prob. 46ES Ch. 4.3 - Prob. 47ES Ch. 4.3 - Prob. 48ES Ch. 4.3 - Prob. 49ES Ch. 4.4 - Prob. 1ES Ch. 4.4 - Prob. 2ES Ch. 4.4 - Prob. 3ES Ch. 4.4 - Prob. 4ES Ch. 4.4 - Prob. 5ES Ch. 4.4 - Prob. 6ES Ch. 4.4 - Prob. 7ES Ch. 4.4 - Prob. 8ES Ch. 4.4 - Prob. 9ES Ch. 4.4 - Prob. 10ES Ch. 4.4 - Prob. 11ES Ch. 4.4 - Prob. 12ES Ch. 4.4 - Prob. 13ES Ch. 4.4 - Prob. 14ES Ch. 4.4 - Prob. 15ES Ch. 4.4 - Prob. 16ES Ch. 4.4 - Prob. 17ES Ch. 4.4 - Prob. 18ES Ch. 4.4 - Prob. 19ES Ch. 4.4 - Prob. 20ES Ch. 4.4 - Prob. 21ES Ch. 4.4 - Prob. 22ES Ch. 4.4 - Prob. 23ES Ch. 4.4 - Prob. 24ES Ch. 4.4 - Prob. 25ES Ch. 4.4 - Prob. 26ES Ch. 4.4 - Prob. 27ES Ch. 4.4 - Prob. 28ES Ch. 4.4 - Prob. 29ES Ch. 4.4 - Prob. 30ES Ch. 4.4 - Prob. 31ES Ch. 4.4 - Prob. 32ES Ch. 4.4 - Prob. 33ES Ch. 4.4 - Prob. 34ES Ch. 4.4 - Prob. 35ES Ch. 4.4 - Prob. 36ES Ch. 4.4 - Prob. 37ES Ch. 4.4 - Prob. 38ES Ch. 4.4 - Prob. 39ES Ch. 4.4 - Prob. 40ES Ch. 4.4 - Prob. 41ES Ch. 4.4 - Prob. 42ES Ch. 4.4 - Prob. 43ES Ch. 4.4 - Prob. 44ES Ch. 4.4 - Prob. 45ES Ch. 4.4 - Prob. 46ES Ch. 4.5 - Prob. 1ES Ch. 4.5 - Prob. 2ES Ch. 4.5 - Prob. 3ES Ch. 4.5 - Prob. 4ES Ch. 4.5 - Prob. 5ES Ch. 4.5 - Prob. 6ES Ch. 4.5 - Prob. 7ES Ch. 4.5 - Prob. 8ES Ch. 4.5 - Prob. 9ES Ch. 4.5 - Prob. 10ES Ch. 4.5 - Prob. 11ES Ch. 4.5 - Prob. 12ES Ch. 4.5 - Prob. 13ES Ch. 4.5 - Prob. 14ES Ch. 4.5 - Prob. 15ES Ch. 4.5 - Prob. 16ES Ch. 4.5 - Prob. 17ES Ch. 4.5 - Prob. 18ES Ch. 4.5 - Prob. 19ES Ch. 4.5 - Prob. 20ES Ch. 4.5 - Prob. 21ES Ch. 4.5 - Prob. 22ES Ch. 4.5 - Prob. 23ES Ch. 4.5 - Prob. 24ES Ch. 4.5 - Prob. 25ES Ch. 4.5 - Prob. 26ES Ch. 4.5 - Prob. 27ES Ch. 4.5 - Prob. 28ES Ch. 4.5 - Prob. 29ES Ch. 4.5 - Prob. 30ES Ch. 4.5 - Prob. 31ES Ch. 4.5 - Prob. 32ES Ch. 4.5 - Prob. 33ES Ch. 4.5 - Prob. 34ES Ch. 4.5 - Prob. 35ES Ch. 4.6 - Prob. 1ES Ch. 4.6 - Prob. 2ES Ch. 4.6 - Prob. 3ES Ch. 4.6 - Prob. 4ES Ch. 4.6 - Prob. 5ES Ch. 4.6 - Prob. 6ES Ch. 4.6 - Prob. 7ES Ch. 4.6 - Prob. 8ES Ch. 4.6 - Prob. 9ES Ch. 4.6 - Prob. 10ES Ch. 4.6 - Prob. 11ES Ch. 4.6 - Prob. 12ES Ch. 4.6 - Prob. 13ES Ch. 4.6 - Prob. 14ES Ch. 4.6 - Prob. 15ES Ch. 4.6 - Prob. 16ES Ch. 4.6 - Prob. 17ES Ch. 4.6 - Prob. 18ES Ch. 4.6 - Prob. 19ES Ch. 4.6 - Prob. 20ES Ch. 4.6 - Prob. 21ES Ch. 4.6 - Prob. 22ES Ch. 4.6 - Prob. 23ES Ch. 4.6 - Prob. 24ES Ch. 4.6 - Prob. 25ES Ch. 4.6 - Prob. 26ES Ch. 4.6 - Prob. 27ES Ch. 4.6 - Prob. 28ES Ch. 4.6 - Prob. 29ES Ch. 4.6 - Prob. 30ES Ch. 4.6 - Prob. 31ES Ch. 4.6 - Prob. 32ES Ch. 4.6 - Prob. 33ES Ch. 4.6 - Prob. 34ES Ch. 4.6 - Prob. 35ES

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.

Whether the combination of pennies, dimes and quarters that add up to $ 3 is possible or not.

Solution Summary: The author explains that the combination of pennies, dimes and quarters that add up to 3 is not possible.

Concept explainers

Videos

To explain: Whether the combination of pennies, dimes and quarters that add up to $3 is possible or not.

Want to see the full answer?

Chapter 4 Solutions