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ASHA 777 [7]
3 years ago
7

What is another way to write the absolute value inequality lp|<1 2?

Mathematics
1 answer:
PIT_PIT [208]3 years ago
8 0

Answer:

|p| ≤ 12

Step-by-step explanation:

The absolute value of p less than or equal to 12

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Answer:

He should plant 100 acres of corn and 400 acres of wheat.

Step-by-step explanation:

This problem can be solved by a siple system of equations.

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Building the system:

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

x + y = 500

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

42x + 30y = 16,200

So, we have the following system

1) x + y = 500

2) 42x + 30y = 16,200

If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?

1) x + y = 500

2) 42x + 30y = 16,200

I am going to write y as a function of x in 1), and replace in 2). So:

x + y = 500 means that y = 500-x

42x + 30y = 16,200

42x + 30(500-x) = 16,200

42x + 15000 - 30x = 16,200

12x = 1,200

x = \frac{1,200}{12}

x = 100

Now, going back to 1:

y = 500 - x = 500 - 100 = 400

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