Mathematics, 18.03.2021 01:20 ShiannBerry
Imagine you are trying to maximize the calories you burn in a 60-minute workout you do a few times a week. Running burns 9 calories per minute, aerobics burns 6 calories per minute, and rowing burns 7 calories per minute. You want to perform all three exercises to work different muscle groups. For the best effect, you need to run for at least 5 minutes and row for at least 15 minutes. Your aerobics session should be no more than 30 minutes. How many minutes should you perform each exercise to burn the maximum calories?
Part A
Write a system of inequalities based on the given constraints. Then, note the objective function?
Part B
Convert the inequalities into equations, and then use the substitution method to find four possible vertices in the form (x, y, z).
Part C
Test the four possible vertices that you found in the objective function in part A. Use those values to determine which set of values maximizes the objective function. Show your work and final answer in the space provided.
Answers: 2
Mathematics, 21.06.2019 13:30
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Mathematics, 21.06.2019 22:40
The value of x in this system of equations is 1. 3x + y = 9 y = β4x + 10 substitute the value of y in the first equation: combine like terms: apply the subtraction property of equality: apply the division property of equality: 3x + (β4x + 10) = 9 βx + 10 = 9 βx = β1 x = 1 what is the value of y?
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Mathematics, 21.06.2019 23:00
Delbert keeps track of total of the total number of points he earns on homework assignments, each of which is worth 60 points. at the end of the semester he has 810 points. write an equation for delbertβs average homework score a in terms of the number of assignments n.
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Mathematics, 22.06.2019 02:10
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