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Tems11 [23]
3 years ago
10

Item 5 A farmer plants corn and wheat on a 180-acre farm. The farmer wants to plant three times as many acres of corn as wheat.

Write a system of linear equations that represents this situation. Use x to represent the number of aces of corn planted and y to represent the number of acres of wheat planted. How many acres of each crop should the farmer plant?
Mathematics
1 answer:
valina [46]3 years ago
8 0

Answer:


Step-by-step explanation:

180/4 is 45 so you could say the farmer plants 135 Acers of corn and only 45 of wheat

3x+y=180  

Hope this helped.

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Let f(x) = (1 − x2)2/3. Which type of non-differentiable point exists at x = 1?.
slava [35]

f(x)=(1-x^2)^{\frac{2}{3}}\implies \cfrac{df}{dx}=\cfrac{2}{3}(1-x^2)^{-\frac{1}{3}}\implies \cfrac{df}{dx}=\cfrac{2}{3\sqrt[3]{1-x^2}}

when it comes to a rational expression, we can get critical points from, zeroing the derivative "and" from zeroing the denominator alone, however the denominator provides critical valid points that are either "asymptotic" or "cuspics", namely that the function is not differentiable or not a "smooth line" at such spot.

if we get the critical points from the denominator on this one, we get x = ±1, both of which are cuspics.  Check the picture below.

3 0
2 years ago
Tammy accidentally wrote a check for more money than she had in her checking account. When she got her statement, she saw that h
Leviafan [203]

Answer:

If the money deposited is higher than the amount owed then the new balance is her current deposition-het owed money

3 0
3 years ago
if there are 200 questions and 4 marks for correct answers and -1 for incorrect answer and total marks is 250then what is the nu
Zanzabum

The number of questions answered correctly = 90.

<h3>What is a system of linear equations?</h3>
  • A system of linear equations is a set of two or more linear equations.
  • Linear equations refer to the equations that involve two or more variables in the form of "ax + b".

Now,

Given:

  • Total number of questions = 200
  • Marks for correct answer = 4
  • Marks for incorrect answer = -1
  • Total marks = 250

To find : Number of correct answers = ?

Finding:

Now, assuming that the student attempted and answered all the questions,

  • Let the number of questions correctly answered be x and incorrectly answered be y.

Then,

  1. x + y = 200 (For number of questions) (eqn 1)
  2. and 4x - y = 250 (For the marks scored) (eqn 2)

Solving the system of linear equations:

For eqn 2, we get that y = 4x - 250

Substituting in eqn 1, we get:

=> x + 4x - 250 = 200

=> 5x = 250 + 200 = 450

=> x = 90

That is, the number of questions answered correctly = 90, the incorrect answers = 200 - 90 = 110.

To learn more about system of linear equations, refer to the link: brainly.com/question/2226590

#SPJ4

8 0
1 year ago
Mary has 84 books. 3/4 of them are fiction books. 2/3 of the fiction books are on science fiction. How many science fiction fict
8_murik_8 [283]
His are eyebrows V doe
5 0
2 years ago
8a - 4b = 20<br>5a - 8b = 62<br><br>What are the values of a and b?​
erastovalidia [21]

Answer:

a=2 , b= (-1)

Step-by-step explanation:

8a-4b=20/×(-2)

5a-8b=62

-16a+8b= -40

5a-8b=62

now -8+8=0 right? so the only parameter that we have is a.

-16a+5a= -40+62

11a = 22/(÷11)

a=2

in order to find b, we will replace a with its value in one of the original equations (it doesn't matter which one you will choose).For instance, I chose the first one.

8×2-4b=20

-4b=20-16

-4b=4/÷(-4)

b= -1

7 0
3 years ago
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