Suppose a traveler vacationed in France, Switzerland and Italy.The traveler spent a total of $300 for lodging, $375 for food and$390 for incidentals. The daily costs in France, Switzerland, andItaly, respectively, were $30, $20, $20 for lodging; $30, $25, and$30 for food and $30 in each country for incidentals. How manydays did the traveler spend in each country?SUMMARY PROBLEMSystems of Linear Equations1. Write the system of equations. Define each variable.2. Write the coefficient matrix.3. Write the augmented matrix for the system.4. Solve the matrix using the Gauss-Jordan elimination method.5. Write the matrix equation with the coefficient matrix, variablematrix and constant matrix. Identify each.6. Find the inverse of the coefficient matrix.7. Solve the system using the inverse matrix process.8. Set up the four determinants for the system.9. Use Cramer's Rule to solve the system.OCT 11212021♫1tv AAEIO

Summary: A traveler vacationed in France, Switzerland, and Italy. Traveler spent $300 for lodging,…

Answered: SUMMARY PROBLEM Systems of Linear…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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3. Mrs. Freeman wants to join a DVD rental service. There are two options. Movie mania offers a monthly rate of $10 plus $1.50 per DVD rental. Film Fans costs $2.50 per DVD rental. Let x represent Mrs. Freeman's makes and y represent the cost of the plan during the month. a. Write the systems of equations that could be used to choose a DVD rental service? b. Solve the systems of equations by graphing. 10 8 2 -10 -8 -6 -4-2 2 -2 6 8 10 4. -4 -6 -8 10 4.
3) Our school's art teacher took his class to a concert hall and paid $512 for 10 adult tickets and 9 children tickets. The next day, our music teacher took our class to the same concert hall and paid a total of $831 for 17 children and 15 adults. If a represents the price of an adult ticket, and c represents the price of a child's ticket, which system of equations can be used to find how much each child ticket and each adult ticket cost? B) C) A) 19ac 512 32ac-831 10a+9c=512 15a+17c-83 10c+9=512 15c+17a-83 D) 19(a+c)=512 32(a+c) 83
Rent-a-Truck charges a daily rental rate for a truck of $39 plus $0.16 a mile. A competing agency, Ace Truck Rentals,charges $25 a day plus $0.24 a mile for the same truck. How many miles must be driven in a day to make the daily cost of both agencies the same? What will be the cost?
Two teachers, Mrs. Dewsbury and Mrs. Pettit, decide to buy calculators and stickers for their classrooms. Mrs. Dewsbury buys 30 calculators and 50 pages of stickers for $95. Mrs. Pettit buys 40 calculators and 40 pages of stickers of each for $116. Write a system of equations to represent the cost of one calculator, c, and one page of stickers, p. A. c + p = 120 70c + 90p = 211 B. c + p = 211 30c + 50p = 40c + 40p C. 30c + 50p = 95 40cp = 116 D. 30c + 50p = 95 40c + 40p = 116
Formulate but do not solve the problem.Kelly Fisher invested a total of $20,000 in two municipal bonds that have yields of 8% and 10% interest per year, respectively. If the interest Kelly receives from the bonds in a year is $1720, how much did she invest in each bond? (Let x and y denote the amount, in dollars, invested at 8% and 10%, respectively.) = 20,000 = 1720
At a school cafeteria a cold lunch costs $1.80, and a hot lunch costs $3.00. During one school year a teacher spent a total of $288.60 on cold lunches and hot Ilunches. The number of cold lunches the teacher bought was 1 fewer than twice the number of hot lunches the teacher bought. Which system of equations can be used to find the number of cold lunches, and h, the number of hot lunches, the teacher bought during the school year? 3.00c + 1.80h = 288.60 h = 1- 2c 1.80c + 3.00h = 288.60 C = 1- 2h 3.00c + 1.80h = 288.60 1-18 10 11 12 13 > Back Review/End Next 1 5 6 7 9 us O I1
An apartment complex has 1-bedroom apartments and 2-bedroom apartments. There are a total of 78 apartments in the complex, and there are twice as many 2-bedroom apartments as 1-bedroom apartments. If you want to find the number of apartments of each type, which system of equations could be used to solve the problem? Let x be the number of 1-bedroom apartments, and let y be the number of 2-bedroom apartments. A. x + y = 78 2 + y = x B. x + y = 78 2x = y C. x + y = 78 2y = x D. x + 2y = 78 2y = x E. x + 2y = 78 2x = y
Your need to purchase more masks and hand sanitizer. You buy 3 masks and 7 bottles of hand sanitizer. You spend a total of $31. Your friend buys 4 masks and 5 bottles of hand sanitizer. They spend $30.50. How much does a mask cost and how much does a bottle of hand sanitizer cost? What are the first and second variables and hat are the first and second equations?
5. Elijah bought a total of 16 pounds of peanuts and cashew nuts and paid $49.50. If peanuts cost $2.75 per pound and cashew nuts cost $3.25 per pound, how many pounds of cashew nuts did he buy? Variables: Solve: System: Solution:

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