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:
D.
Step-by-step explanation:
The inequality graphed matches the graph on the answer choice D.
Hope this helps <3
Answer:
The unknown number is 90
Step-by-step explanation:
This question requires a good understanding so as to interprets it well
And always ensure that all symbols used in representation are well stated so as to help the examiner or anyone who will mark it to understand better
So back to the question,let the unknown number be x
And two thirds of the unknown number is 2/3x
2/3x was decreased by 20 which can be written as 2/3x-20
And this decrease gives 40
That's,2/3x-20=40
Then go ahead to solve the question
Start by finding the LCM and the LCM is 3
2x-60/3=40
Cross multiply
2x-60=40×3
2x-60=120
Collect like terms by adding 60 to both sides
2x=180
Divide both sides by 2
x=90
Therefore the final answer is 90
Answer:
frequency
Step-by-step explanation:
Planck showed that the energy that is emitted or absorbed by an object is proportional to the _<u> </u><u>frequency</u><u>__</u>__ of the radiation.