1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Margarita [4]
3 years ago
12

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin

g seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. 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? (Let x and y denote the number of acres of corn and wheat, respectively.)
Mathematics
1 answer:
babunello [35]3 years ago
5 0

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.

You might be interested in
A woman has a square garden for strawberry planting.2 of the sides have fencing.The fencing is 40m in length.Find the maximum po
Nina [5.8K]

Answer:

The maximum possible area is 1,600 m.

Step-by-step explanation:

You already have the two sides so you just multiply 40×40 and that gives you the area.

7 0
2 years ago
Degree is defined as number of incidents to vertex.<br>Select one:<br> True<br>False​
alexandr402 [8]

Answer:

The answer is : True

Step-by-step explanation:

In graph theory, the degree of a vertex of a graph is the number of edges that are incident on the vertex, and in a multigraph, loops are counted twice.

4 0
2 years ago
For a school fundraiser, Mai will make school spirit bracelets. She will order bead wiring and alphabet beads to create the scho
Ket [755]

Answer: Total number of bracelet: 235

Step-by-step explanation:

Given:

Total budget= $1,500

Spend on wire = $250

Per braclet beads = $5.30

Find:

Total number of bracelet

Computation:

Total number of bracelet = [1,500 - 250]

Total number of bracelet = [1,250/ 5.30

Total number of bracelet = 235.849

Total number of bracelet = 235 [By round minium]

8 0
3 years ago
If you don't do a foreign language class in middle school, in high school will one be given to you? Is it a necessity?
aniked [119]
Well, it depend on where you are. Where do you attend school? In the US, the most you could do is learn at least one language if it’s mandatory. It will denfinity be given to you but I think some schools was make it an requirement and others may not.
5 0
2 years ago
New helppppp‼️ how do u solve these 3 problems?
ss7ja [257]

Answer:

1- 16x-12

2- 6(6x-1)

3. -qx+24x-18

Step-by-step explanation:

Hope this help

Have a nice day

6 0
3 years ago
Other questions:
  • The two smaller angles of a right triangle have equal measures. What are the measures of all three angels?
    11·1 answer
  • How does the quotient compare to the dividend when the divisor is less than 1
    9·1 answer
  • The cube of the difference of 5 times x and 4
    8·1 answer
  • the list shows how much yarn mary has= 1/3 red yarn, 2/9 white yarn, 2/6 blue yarn what is the total amount of yarn mary has?
    8·1 answer
  • Convert 252° to radians.
    14·2 answers
  • A - 2/3 = 3/5 how much is a?
    15·1 answer
  • Find the missing length to the nearest teni
    10·1 answer
  • -8+-8(6n)+-8(1)<br> (Please help I need to get an 100% on the assignment I’m doing)
    11·1 answer
  • ​Which point is 4 units from point G and across the X-axis?
    10·1 answer
  • Solve for x<br><br> 60<br> 50<br> 40<br> 30
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!