Mathematics, 10.11.2019 05:31 cuppykittyy
Ateam of three students are working on a language-learning app; they need to develop 300 micro-lessons and 300 micro-tests before they can make their first release. jordan can develop 10 lessons and 5 tests in a day; marco can develop 5 lessons and 10 tests in a day; junyi can develop 5 lessons and 8 tests in a day.
(a) write a system of equations that can be used to determine how long each team member must work to develop exactly 300 lessons and 300 tests.
(b) find the general solution to the system from (a).
(c) find the specific solutions if
(i) junyi gets sick, so can not work;
(ii) jordan gets a part-time job, and so can only work 10 hours.
Answers: 1
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Rectangle leg this 11feet and perimeter of 38feet what is the width of the rectangle in feet
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Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .
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(50 ) mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.
Answers: 1
Ateam of three students are working on a language-learning app; they need to develop 300 micro-less...
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