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:

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:

So, we have the following system


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?


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






Now, going back to 1:

He should plant 100 acres of corn and 400 acres of wheat.
I hope this helps you
Perimeter =2 (width +length )
324=2 (67+length )
162-67=length
length =95
Answer:
22
Step-by-step explanation:
The line where it says 2cm, extend that line to the top. You know have 2 triangles, call the one on the left A and the one on the right B
area of recntangle = bh
Rect A:
b = 5
h = 4 - 2
h = 2
bh = 5 x 2
bh = 10
Rect B:
b = 3
h = 4
bh = 4 X 3
bh = 12
Total = 10 + 12
Total = 22
Given :
A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.
To Find :
The height of the dock.
Solution :
This will make a right angle triangle as given in link below .
Now , applying Pythagoras theorem :

Now , h = 5 or h = -9 .
Now , height cannot be negative .
So , height of the dock is 5 ft .
Hence , this is the required solution .