There are three stores. In the first week store I sold 88 loaves of bread, 48 quartsof milk, 16 jars of peanut butter and 112 pounds of cold cuts. At the same time,store Il sold 105 loaves of bread, 72 quarts of milk, 21 jars of peanut butter and 147pounds of cold cuts. Store IIl sold 60 loaves of bread, 40 quarts of milk, 0 jars ofpeanut butter and 50 pounds of cold cuts. Organize this data in a 3 X 4 matrix.

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Answered: There are three stores. In the first…

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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Samantha has an exercise regimen at the local gym that includes using a treadmill, stair machine, and cycle. According to an exercise website, a 130-lbd person like Samantha will burn, on average, about 600 calories per hour running on a treadmill, about 500 calories per hour on the stair machine, and about 300 calories per hour on the sycle. Samantha wants to spend 9.5 hours a week in the gym, and would like to spend twice as much time on the stair machine as the cycle. She wants to burn 4600 calories a week at the gym. Is this possible? (a) Write the system of equations that describe the problem. Lett be the number of hours she spends on the treadmill, s be the number of hours she spends on the stair machine, and c be the number of hours she spends on the cycle. Make sure to use the variables from the drop down menu. Calories equation: Time equation: Machines equation: (b) Use an online calculator to solve the system of equations. Put your answer into context by entering the values…
A baker had four 50-pound bags of sugar. She used 68 and 1 out of 2 pounds of sugar to bake cakes, 76 and 5 out of 8 pounds for baking pies, and 33 and 1 out of 4 pounds of baking cookies. How many pounds of sugar remain?
Ms. Custodio is creating a classroom library for all the reading books. She has a total of 327 books and 15 shelves for the books. If Ms. Custodio wants to put the same number of books on each shelf, how many books will go on each shelf?
Haziqah makes three types of cookies for Hari Raya. The main ingredients she uses to make the cookies are flour, cornflakes, and chocolate rice. To bake cookie X, she needs ten grams of flour, ten grams of cornflakes, and five grams of chocolate rice. For cookie Y, she needs seven grams of flour, five grams of cornflakes, and four grams of chocolate rice, while for cookie Z, she needs four grams of flour, two grams of cornflakes, and three grams of chocolate rice. The amount of ingredients available per day are 2.64 kg of flour, 2 kg of cornflakes and 1.58 kg of chocolate rice. Write the above information in matrix form. Using Cramer’s rule, find the number of each type of cookies she can make if all the ingredients available are used.
As part of a weight reduction program, a man designs a monthly exercise program consisting of bicycling, jogging, and swimming. He would like to exercise at most 32 hours, devote at most 2 hours to swimming, and jog for no more than the total number of hours bicycling and swimming. The calories burned per hour by bicycling, jogging, and swimming are 200, 573, and 257, respectively. How many hours should be allotted to each activity to maximize the number of calories burned? If he loses 1 pound of weight for each 3,500 calories burned, how many pounds will he lose each month exercising? How many hours should be allotted to each activity to maximize the number of calories burned? hours for swimming hours for bicycling hours for jogging C
As part of a weight reduction program, a man designs a monthly exercise program consisting of bicycling, jogging, and swimming. He would like to exercise at most 36 hours, devote at most 4 hours to swimming, and jog for no more than the total number of hours bicycling and swimming. The calories burned by this person per hour by bicycling, jogging, and swimming are 200, 694, and 256, respectively. How many hours should be allotted to each activity to maximize the number of calories burned? What is the maximum number of calories he will burn? (Hint: Write the constraint involving jogging in the form ≤0.) Let x, be the number of hours spent bicycling, let x₂ be the number of hours spent jogging, and let x3 be the number of hours spent swimming. What is the objective function? z = x₁ + x₂ + x3 22/11
Penny and Nicholas each collected baseball cards. Nicholas wanted his collection to be larger than Penny’s. So, Nicholas made sure that he always had seven more cards in his collection than Penny had in her baseball card collection. Find out how many cards Nicholas would have if penny had 2 cards, 5 cards, 8 cards, 11 cards in her collection. Create a table to show how many cards penny has in her collection, if Nicholas has: 10 cards, 15 cards, 22 cards, 41 cards. Predict how many cards Nicholas would have if Penny had 417 baseball cards. Explain your thinking in words and in algebraic symbols. Predict how many cards penny would have if Nicholas had 1,000 baseball cards. Explain your thinking in words and in algebraic symbols. Write algebraic equation in two different ways. Graph first five points on your graph sheet if penny has 2, 5, 8, 11, and 14
Bottled water and medical supplies are to be shipped to survivors ofan earthquake by plane. Each container of bottled water will serve 10 people and eachmedical kit will aid 6 people. Each plane can carry no more than 80,000 pounds. The bottledwater weighs 20 pounds per container and each medical kit weighs 10 pounds. Each planecan carry a total volume of supplies that does not exceed 6000 cubic feet. Each waterbottle is 1 cubic foot and each medical kit also has a volume of 1 cubic foot. Thus, the maximum value of z is 36000 and this occurs when x = 0and y = 6000.In practical terms, this means that the maximum number of earthquake survivors whocan be helped with each plane shipment is 36000. This can be accomplished bysending 6000 medical kits.A) TrueB) False
At Bob’s Breakfast Bar he sells bacon and egg meals. The Senior Breakfast has 1 slice of toast, 2 slices of bacon, and 1 egg. The Regular Breakfast has 2 slices of toast, 3 slices of bacon, and 2 eggs. The Hearty Breakfast has 2 slices of toast, 4 slices of bacon, and 3 eggs. This morning he used up 125 slices of toast, 220 slices of bacon, and 145 eggs making these three types of breakfasts. How many senior breakfasts did he prepare? Blank 1. Fill in the blank, read surrounding text. Senior Breakfasts

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