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Illusion [34]
4 years ago
14

Do not know how to solve or work out

Mathematics
1 answer:
ehidna [41]4 years ago
7 0
-3x + 20 > = 8
-3x > = 8 - 20
-3x > = -12
x < = -12/-3
x < = 4

( - infinity, 4] <== interval notation
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The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin
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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.

]x denotes the number of acres of corn

y denotes the number of acres of wheat

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

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

x = 100

Now, going back to 1:

y = 500 - x = 500 - 100 = 400

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

5 0
3 years ago
Please help me with this please!!
Eva8 [605]

9514 1404 393

Answer:

  135°

Step-by-step explanation:

In order to answer the question, we must assume that the black lines are parallel to each other.

The given angles (2, 8) are "same-side (consecutive) exterior" angles, so are supplementary.

  ∠2 +∠8 = 180°

  15x +5x = 180°

  x = 180°/20 = 9°

  ∠2 = 15x = 15(9°) = 135°

Angles 2 and 3 are vertical angles, so angle 3 has the same measure as angle 2.

  ∠3 = 135°

6 0
3 years ago
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