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kondor19780726 [428]
3 years ago
13

What is the slope that passes through the points (5, -11) and (-9, 17)?

Mathematics
1 answer:
Umnica [9.8K]3 years ago
8 0
The coreect point is (4,7)
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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

12x = 1,200

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.

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3 years ago
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4.5x(2 - 6) \\  \\ 1. \: 4.5x \times  - 4 \\ 2. \:  =  - 18x

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49/10 as a mixed number
Anni [7]
 ⇒ \frac{49}{10} 

\frac{49}{10} is a improper fraction. 
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⇒10 x 4 = 40 
⇒40 + 9 = 49 

\frac{49}{10} = 4 \frac{9}{10} 

⇒ANSWER = 4 \frac{9}{10}

 
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3 years ago
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