06.05 Applications of Systems of Equations
Part 1
1. Tony and Belinda have a combined age of 56. Belinda is 8 more than twice Tony’s age. How old is each? Tony’s age = t years, Belinda’s age = 56 - t years
56 - t = 2t + 8
56 - 8 = 2t + t ==> 3t = 48 ==> t = 16 years
THUS Tony = 16 years, and Belinda = 40 years
2. Salisbury High School decided to take their students on a field trip to a theme park. A total of 150 people went on the trip. Adults pay $45.00 for a ticket and students pay $28.50 for a ticket. How many students and how many adults went to the park if they paid a total of $4770? Adults = a, and Students = 150 - a

45a + 28.5(150 - a) = 4770
45a + 4275 - 28.5a = 4770 ==> 16.5a = 4770 - 4275 = 495
a = 495 / 16.5 = 30,
Adult = 30, Students = 120
3. Your piggy bank has a total of 46 coins in it; some are dimes and some are quarters. If you have a total of $7.00, how many quarters and how many dimes do you have? Dimes = d, and Quarter = 46 - d

d/10 + (46 - d) /4 = 7
Multiply both sides by 20, which gives
2d + 5(46 - d) = 140 ==> 2d + 230 - 5d = 140
-3d = 140 - 230 = -90 ==> d = 30
Dimes = 30, and Quarters = 16
Part 2
c = current of river
b = rate of boat
d = s(t) will represent (distance = speed X time)
Upstream: 60 = 6(b-c)
Downstream: 60 = 3(b+c)
There are now two separate equations: 60 = 6b - 6c and 60 = 3b + 3c Solve both equations for b:
b = 10 + c
b = 10 – c
Now make both equations equal each other and solve for c:
10 + c = 20 – c
2c = 10
c = 5
The speed of the current was 5 mph
Now, plug the numbers into one of either the original equations to find the speed of the boat in still water. I chose the first equation: b = 10 + c or b = 10 + 5 b = 15 The speed of the boat in still water must remain a consistent 15 mph or more in order for Wayne and his daughter to make it home in time or dinner.

...Hall
Differential Equations
March 2013
Differential Equations in Mechanical Engineering
Often times college students question the courses they are required to take and the relevance they have to their intended career. As engineers and scientists we are taught, and even “wired” in a way, to question things through-out our lives. We question the way things work, such as the way the shocks in our car work to give us a smooth ride back and forth to school, or what really happens to an object as it falls through the air, even how that people can predict an approximate future population. These questions, and many more, can be answered and explained through different variations of differential equations. By explaining and answering even just one of these questions through different differential equations I will also be answering two other important questions. Why is differential equations required for many students and how does it apply in the career of a mechanical engineer?
First some background. What is a differential equation?
A differential equation is a mathematical statement that contains one or more derivatives. It states a relationship involving the rates of change of continuously changing quantities modeled by functions. They are used whenever a rate of change is known but the process
giving rise to it is not. The solution of a differential equation...

...SYSTEM OF LINEAR EQUATIONS IN TWO VARIABLES Solve the following systems: 1.
x y 8 x y 2
by graphing
by substitution
by elimination
by Cramer’s rule
2.
2 x 5 y 9 0 x 3y 1 0
by graphing
by substitution
by elimination
by Cramer’s rule
3.
4 x 5 y 7 0 2 x 3 y 11 0
by graphing
by substitution
by elimination
by Cramer’s rule
CASE 1: intersecting lines independent & consistent m1m2
CASE 2: parallel lines inconsistent m1 = m2 ; b1 b2
CASE 3: coinciding lines consistent & dependent m1 = m2 ; b1 = b2
Classify the following system, whether (a) intersecting, (b) parallel, or (c) coinciding lines 1.
3 x 4 y 1 0 3 x 4 y 2 0 3 x 4 y 1 0 6 x 8 y 2 0
Solve the following systems in three variables: 1. 3 x 4 y z 1 2. x y 2
x 4 y 3z 3 3 x 2 y 2 z 0
________
3 y z 1 x 2 z 7
2.
________
3.
2 x 5 y 1 0 5 x 2 y 2 0
2 x y 1 4 x 2 y 3 x 2 y 1 0 2 x y 1
________
4.
________
5.
________
1 x Solve 1 x
2 3 y 3 2 y
Problem solving Form a system of equations from the problems given below. A) (MIXTURE PROBLEM 1) How many pounds of a 35% salt solution and a 14% salt solution should be combined so that a 50 pounds of a...

...AN APPLİCATION FOR MODULAR PRODUCTION SYSTEMS ON APPAREL
MSc. Esra DİRGAR 1, Assoc. Prof. Dr. Ziynet ÖNDOĞAN 2
1
2
Ege University Bergama Vocation School, Bergama – Izmir / Turkey
Ege University Engineering Faculty Textile Engineering Department, Bornova - Izmir / Turkey
INTRODUCTION
Consumers now demand more variety in product lines and retailers expect faster delivery, better quality and
lower costs. As global markets change, manufacturing strategies are also changing. Flexible manufacturing
that strives to be responsive to customer demand. For the apparel manufacturing plant, flexible
manufacturing means the capability to quickly and efficiently produce a variety of styles in small production
runs with no defects. This may require philosophy changes, new performance criteria, effective use of new
technology and beter development and use of resources than with traditional production systems. The
underlying philosophy is that the manufacturing firm will operate with the flexibility needed to meet the
needs of its customers and the inherent ability to adapt to immediate changes in the apparel market.
Firms that are able to operate in a flexible manufacturing environment have a strategic advantage in the
marketplace. Although flexible manufacturing involves the entire firm, much of the focus for improving
flexibility has been on the production function.
METHODOLOGY
An apparel production system...

...INFORMATION SYSTEMS AND SOFTWARE APPLICATIONS
Information Systems and Software Applications
Christine Jones
University of Phoenix
Information Systems and Software Applications
In today’s world the use of information systems and software applications are critical to the workplace. “Information systems (IS) collects, processes, stores, analyzes, and disseminates information for a specific purpose” (Rainer & Turban, 2008). “Information systems refers to technology designed to handle the data that institutions receive, process, generate, save, backup, disseminate, and use to make decisions” (Smith, 2007). IS do not have to be used with computers, but with today’s technology, most IS are associated with them. Computer-based information systems (CBIS) are made up of a few components including hardware, software and people, just to name a few. Software applications are “a set of computer instructions that provide more specific functionality to a user” (Rainer & Turban, 2008). An example of a software application is Microsoft Word, the popular word processing application that is standard on most computers. Software applications exist to make work easier for computer users. The same can be said for information systems, both IS and software...

...THE APPLICATION OF DECISION SUPPORT SYSTEM
There are intellectual possessory of creating such systems in any knowledge domain.
Good example is the clinical decision support system for medical diagnosis. A bank loan officer verifying the credit of a loan collector or an engineering firm that has declaration and the want to be competitive with their cost.
DSS is is commonly used in business and management. Executive dashboard and other business performance software allow quick decision making, assimilation of pessimistic inclination, and good allocation of business resources.
A speeded area of DSS application, concepts, principles, and techniques is in agricultural production, marketing for sustainable development. For example, the DSSAT4 package,[15][16] developed through financial support of USAID during the 80's and 90's, has allowed rapid assessment of several agricultural production systems around the world to facilitate decision-making at the farm and policy levels. There are, however, many constraints to the successful adoption on DSS in agriculture.[17]
DSS are also prevalent in forest management where the long planning time frame demands specific requirements. All aspects of Forest management, from log transportation, harvest scheduling to sustainability and ecosystem protection have been addressed by modern DSSs. A comprehensive list and discussion of all available...

...Business ApplicationSystem
University of Phoenix
BSA 411, Systems Analysis Methodologies
September 6, 2010
Introduction
There are many different business problems or business opportunities in today’s business world that need to be corrected. I have been a part of a few project teams that were responsible for correcting a few of these business problems at some of the different companies I have worked for. In this paper I will discuss the one that I feel was the biggest success due to how it helped the company.
Business ApplicationSystem
Many years ago I worked for the hydraulic parts division of Dana Corporation particularly in the machining area. During this time there arose the need for a better business system to track what parts we had on hand and what parts we needed to make to fill the incoming orders. Being that I had a lot of experience in my department I was asked to be a part of the project team to create the system. The new business system would need to be able to track, in real time, what parts were needed to fill customer orders, what parts we currently had on hand in storage, and what parts were currently in the process of being machined. In order to make this business system happen there were several barriers we would have to overcome. Some of the barriers included assessing the current business situation...

...TWC: Operating Systems and Software Applications
University of Phoenix
BIS/320
January 14, 2013
Dr. Kathryn J. Moland, PMP
TWC: Operating Systems and Software Applications
Time Warner Cable (TWC) is one of the nation’s largest cable companies and being such has a large network of hardware and software at its disposal. According to "Time Warner Cable" (2013), its mission statement is to connect people and businesses with information, entertainment, and to give customers controls that are simple and easy to use. TWC utilizes Microsoft Windows XP and Microsoft Office giving the employees access from a TWC location or by a virtual private network (VPN) setup by the employee. Employees also have access to web based email that can be accessed via the internet anywhere in the World. In today’s business environment, technology is continually changing and improving. Operating systems and applications are used within companies worldwide to gather, disseminate, and control the flow of information. The application software can range from general covering a broad spectrum of information to addressing very specific information, enabling an organization to meet objectives.
Reaching Company Objectives
Both the operating system and software applications improve the organizations ability to operate in an efficient and effective manner. There are...

...enterprise and CRM system is developed for the use of business. However, having a poor implementation of CRM is a common phenomenon in firms from small to large scale. This essay focuses on the causes and effects of CRM followed by some feasible solutions.
First, low utilization of CRM system is a main reason of failure in implementation. Executives often make purchase decision without a cautious evaluation of the utility and capacity of CRMsystem. They an assumption that just installing CRM software into a company can simply address all the problems it is facing (MYCUSTOMER, 2010). But, the CRM system may not be suitable for tackling the specific problems related to customer relationship since it may not be corresponding to those particular problems at all.
Moreover, a CRM system fails may be attributable to limited scalability. MYCUSTOMER (2012) reviews that if more users are added, the system would slow to an extent being unusable. When the capacity cannot expend serve more users, errors will occur causing inaccurate and inconsistent record. This leads to low utilization of CRM system.
Low adoption from employees is also a major cause of failure when introducing CRM system. The reason why a CRM system is unpopular is just because it is too complicated to use. According to a view of Paterson (2007, as cited in Sims, 2007), firms usually...

803 Words |
3 Pages

Share this Document

{"hostname":"studymode.com","essaysImgCdnUrl":"\/\/images-study.netdna-ssl.com\/pi\/","useDefaultThumbs":true,"defaultThumbImgs":["\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_1.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_2.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_3.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_4.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_5.png"],"thumb_default_size":"160x220","thumb_ac_size":"80x110","isPayOrJoin":false,"essayUpload":false,"site_id":1,"autoComplete":false,"isPremiumCountry":false,"userCountryCode":"US","logPixelPath":"\/\/www.smhpix.com\/pixel.gif","tracking_url":"\/\/www.smhpix.com\/pixel.gif","cookies":{"unlimitedBanner":"off"},"essay":{"essayId":37896673,"categoryName":"Mathematics","categoryParentId":"19","currentPage":1,"format":"text","pageMeta":{"text":{"startPage":1,"endPage":2,"pageRange":"1-2","totalPages":2}},"access":"premium","title":"06.05 Applications of Systems of Equations","additionalIds":[17,3,7,52],"additional":["Literature","Business \u0026 Economy","Education","Business \u0026 Economy\/Organizations"],"loadedPages":{"html":[],"text":[1,2]}},"user":null,"canonicalUrl":"http:\/\/www.studymode.com\/essays\/06-05-Applications-Of-Systems-Of-Equations-1702975.html","pagesPerLoad":50,"userType":"member_guest","ct":10,"ndocs":"1,500,000","pdocs":"6,000","cc":"10_PERCENT_1MO_AND_6MO","signUpUrl":"https:\/\/www.studymode.com\/signup\/","joinUrl":"https:\/\/www.studymode.com\/join","payPlanUrl":"\/checkout\/pay","upgradeUrl":"\/checkout\/upgrade","freeTrialUrl":"https:\/\/www.studymode.com\/signup\/?redirectUrl=https%3A%2F%2Fwww.studymode.com%2Fcheckout%2Fpay%2Ffree-trial\u0026bypassPaymentPage=1","showModal":"get-access","showModalUrl":"https:\/\/www.studymode.com\/signup\/?redirectUrl=https%3A%2F%2Fwww.studymode.com%2Fjoin","joinFreeUrl":"\/essays\/?newuser=1","siteId":1,"facebook":{"clientId":"306058689489023","version":"v2.8","language":"en_US"}}