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.
Answer:
(x+2)^3=x^3-6x^2+12x-8
Step-by-step explanation:
Answer:
1100 field-side tickets and 4500 end-zone tickets.
Step-by-step explanation:
Let x represent number of field side tickets and y represent number of end-zone tickets.
We have been given that the total number of people at a football game was 5600. We can represent this information in an equation as:

We are also told that Field-side tickets were 40 dollars and end-zone tickets were 20 dollars.
Cost of x field side tickets would be
and cost of y end-zone tickets would be
.
The total amount of money received for the tickets was $134000. We can represent this information in an equation as:

Upon substituting equation (1) in equation (2), we will get:







Therefore, 1100 field side tickets were sold.
Upon substituting
in equation (1), we will get:


Therefore, 4500 end-zone tickets were sold.
Answer:
X = 20.6 inches
Step-by-step explanation:
Pythagorean Theorem: 
A = 41.2 in, while B = 35.7 in and we are solving for C.


Now solve for C

Take the square root
