A college student works in both the school cafeteria andlibrary. She works no more than 10 hours per week at thecafeteria, and no more than 16 hours per week at thelibrary. She must work at least 20 hours each week. Writea system of inequalities that describes all the givenconditions.Write a system of inequalities letting x= number of hoursworked at the cafeteria per week and y = number of hoursworked at the library per week.x+y², xs, ysUse the graphing tool on the right to graph the feasibleregion for the system of inequalities.Click toenlargegraph

Answered: Image /qna-images/answer/2f470ee9-407a-4a5a-ab63-b8fd14fc9e08.jpg

Answered: A college student works in both the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Tom has a collection of 27 CDs and Nita has a collection of 18 CDs. Tom is adding 3 CDs a month to his collection while Nita is adding 6 CDs a month to her collection. Write and graph a system to find the number of months after which they will have the same number of CDs. Let x represent the number of months and y the number of CDs.
Stella needs to make at least 8 cakes for a bake sale. A chocolate cake requires 5 cups of flour, and a fruit cake requires 3 cups of flour. She has at most 120 cups of flour.Which system of inequalities represent the number of chocolate cakes (c) and the number of fruit cakes (f) Stella can make?
Louisa has two jobs. She works as a barista, which pays $13 per hour, and she works as an illustrator, which pays $30 per hour. She wants to work no more than 45 hours and earn at least $625 per week. Write a system of inequalities to represent the number of hours Louisa can work at each job. Remember to define your variables.
Angela has $15 to spend at the store. She will buy pp pencils and nn notebooks. Pencils cost $0.50$0.50 each, and notebooks cost $1.75$1.75 each. Angela will buy at least 55 notebooks. Which system of inequalities represents Angela’s situation?
Determine the system of inequalities illustrated in the graph. Write inequalities in standard form. Choose the appropriate system. O A. OB. x? + y? s72 x-ys7 y2 - 3 ys -3 OC. OD. x+y27 x? + y? z72 y< - 3 y2 - 3
Write and graph a system of linear Inequallties: x: a. y: b. Write two possible solutions: i. ji. 5. A zoo keeper wants to fence a rectangular habitat for goats. The length of the habitat should be at least 80 feet, and the perimeter of the habitat should be no more than 300 feet. a. Write and graph a system of linear inequalities: x: Length P= 21 +2w X280 y: width 2x +2y 300 b. Write two possible solutions: 1. 20 10 I1. Io 20 O Gina Wilson (All Things Algebra, LLC), 20
A company produces two types of drills, a corded and cordless. The cord-type drill requires 2 hours to make, and the cordless model requires 3 hours. The company has 360 work hours per day for manufacturing and daily storage of 130 drills per day.Let x = the number of cordless drills produced per day and y = the number of corded drills produced per day.Write the system of inequalities3x+2yCorrect ≤360x+yCorrect ≤130Graph the system of inequalities. Hint: There are 4 inequalities.
Colton owns a food truck that sells tacos and burritos. He only has enough supplies to make 120 tacos or burritos. He sells each taco for $3.75 and each burrito for $6. Colton must sell at least $540 worth of tacos and burritos each day. If x represents the number of tacos sold and y represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.
Casey works at the Sports Gym as a counselor for x hours a week after school a job that pays $3 an hour . She has accepted a job that pays $9 an hour at Carvel working y hours per week. She will work both jobs. She is able to work no more than 17 hours per week . Casey wants to earn at least $72a. Write a system of linear inequalities that can be used to find the possible combinations of hours working at the Sports Gym and at Carvel so Casey earns at least $72.
For a concert event, there are $30 reserved seat tickets and $20 general admission tickets. There are 2100 reserved seats available, and fire regulations limit the number of paid ticket holders to 3400. The promoter must take in at least $78,000 in ticket sales. Write a system of inequalities that describes the different numbers of tickets that can be sold. (Let x be the number of $30 tickets and y be the number of $20 tickets.
A drugstore is selling two types of notebooks for $3 and $4. If a person wants to spend between $10 and $15 on notebooks, write the system of inequalities that represents this situation.

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS