Animal Linear Math problem: Systems of Linear Inequalities?
My teacher gave us all a practice worksheet for the Ch. 6 test. She isn't going to collect it...or correct it. For individuals who love to find faults in other people, I'm NOT cheating. I really don't know how to do this problem, and there will be HARDER ones on the test. I want to be prepared. Please explain thoroughly.
Here it is-
Create a system of linear inequalities for the situation:
A children's zoo is given a sum of money to buy and maintain some animals. The zoo officials want to spend at least $200 for rabbits and/or monkeys. They intend to buy at least 14 animals. Each rabbit costs $4 and each monkey costs $40. If it costs 10 cents per day to feed each rabbit and 50 cents each day to feed each monkey and the zoo officials want to keep their feeding costs at a minimum, how many of each animal should they buy?
I REALLY NEED HELP! PLEASE ANSWER!
Let the number of Rabbits = R and # of monkeys = M
They intend to buy at least 14 animals means R + M is greater or equal to 14
Each rabbit costs $4 and each monkey costs $40.and want to spend at least $200 means 4R + 40 M is greater than or equal to 200
If it costs 10 cents per day to feed each rabbit and g50 cents each day to feed each monkey and the zoo officials want to keep their feeding costs at a minimum, .10m + .50M = feeding costs and they want to keep this as small as possible, so M and R should be the smallest number possible.
Solve the first 2 equations together. ( I'm going to use the = sign since I can't type greater than or equal)
4R + 40M = 200 and R + M = 14 < multiply this one by 4>
4R + 4M = 56
----------------------- Subtract
36M = 144
or M =4
substitute to find R = 10
4 monkeys and 10 rabbits is 14 animals
4 monkeys cost $160 and 10 rabbits cost $40..That's $200
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The period "monkey beware" was originally coined by Zen Buddhist monks to tell the land of your awareness racing from one thought to the next, creating mental blend that saps you of central life intensity energy. We here in the Western world experience it as that which keeps us in busywork mentality, feel overwhelmed, susceptible to winning on too much and having very long, disturbed nights.
While monkey heed has come to have a downbeat connotation, it also has a vital rationale. The motive it exists is to process information needed for the survival and hindrance-solving. These functions that are as significant as any other body gathering; the challenge is that, by benefit of its position, it continually handles information. Monkey bewared is started due to structure overload when there is more information than mental processing bandwidth. Myth has it that there is more information in one Sunday journal of The Wall Street Journal than there was vacant for the entire days when Thomas Jefferson lived, so you can see where our intrinsic wits has cultured to pursuit to keep up.
Knowing that the monkey awareness has a viable and valuable job helps to tribute when it takes an active part in your life. However, there are three secrets that, when you know them, can completely change your understanding of how you are living your life.
The first enigma of the monkey beware is that it is your servant. That is, you have the force consciously to regulate it's activities through focus and addressing whatever it is effective on in the minute. The din of the monkey thoughts is related to that bent in a scope plump of people having individual conversations - all together, it just makes clatter. However, if you name each conversation individually, they start to make meaning. In the monkey object, these conversations are information that you may poverty to know; if you acknowledge what your servant is doing, exposure or working on, your monkey beware will move on. It requires, however, that you being granted to your monkey mentality to allocate information processing.
The jiffy furtive of the monkey attention is that it processes by opposition. That is, we live in a world of duality where every item/train/state of being has its' opposed. For example, up has down, left has right, and masculine has female. The monkey heed is skilled through our Western socialization development to purpose by repetition and in a linear devise. Therefore, it will swallow down a linear thought pathway, which becomes a sample over time.
The ideas is that the monkey thoughts can, as an answer of repetition and valid order, accordingly and effectively grip the issues that challenge us most, such as, whether to move or settle put, to pay down debt or make an investment, to get a new job or father an interest. There are many conflicting needs in our world that instigate the monkey wits to become started. The furtive is in shrewd that it processes by opposition, so if you feed it with plenty of potentially conflicting information, it will eventually place it all out for you in a linear create.
The third riddled of the monkey object is that its' state is the loudest when you are making big change for yourself or have the opportunity to do so. Remember, its job is to safeguard and bestow information for survival. If your type quo is threatened in any way, even if you wanted and started the change, your monkey thinker will intervene to let you know there's an arrival of new information. The key to appreciate this enigma is that it can be your indicator that you are on your right pathway to creating significant change in some way.
While the monkey wits has imperfect wisdom in some conduct, intended these three secrets can mean the difference from charter it make you silly to allowing it to help you in a more important way.
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