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Blababa [14]
3 years ago
6

The area of circle b is 36 times greater than the area of circle

Mathematics
1 answer:
Zinaida [17]3 years ago
5 0
I would say D I hope this helps
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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
babunello [35]

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.

5 0
3 years ago
A line passes through points (2,5) and (5, 14). What is the slope of this line?
topjm [15]

<u>We know that:</u>

Slope of a line = change in y coordinate / change in x coordinate

<u>We are given:</u>

First point = (2,5)

Second point = (5, 14)

<u>Calculating the change in y coordinate:</u>

change in y (also represented by Δy) = second y - first y

Δy = 14 - 5

Δy = 9

<u>Calculating the change in x coordinate:</u>

Δx = second x - first x

Δx = 5 - 2

Δx = 3

<u>Slope of the line:</u>

Slope = (Δy) / (Δx)

Slope = 9 / 3                                              [replacing the values]

Slope = 3

7 0
3 years ago
Y=3/2x+2 <br> 5x-y=5<br> At what point do they meet?
RSB [31]
(2,5) ...........................................................................................
7 0
3 years ago
Which of the following have no solutions?
kirza4 [7]

Answer:

B

Step-by-step explanation:

sorry if its wrong

3 0
3 years ago
Read 2 more answers
Which is greater 525 centimeters or 5 meters ?
zubka84 [21]
525 centimeters is greater than 5 meters. 525 cm = 5.25 m

Thus, 525 cm is greater than 5 meters.
4 0
3 years ago
Read 2 more answers
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