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
Doss [256]
3 years ago
8

A farmer plants twice as many acres of wheat as corn on his land. If he plants no more than 36 acres, what is the greatest numbe

r of acres that can be used for corn? 12 acres 18 acres 24 acres 3 acres
Mathematics
1 answer:
Leona [35]3 years ago
6 0

Answer: 12 acres could be planted (at most)

Step-by-step explanation: Since there will be twice as many acres of wheat in  comparison to the corn, out of the total 36 acres at least 24 of those will need to be wheat. That leaves 12 acres left for the corn.

You might be interested in
The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac
olya-2409 [2.1K]

Answer:

a) \frac{74}{10025}

b) \frac{3x-2}{x(8x+1)}

c) \frac{-24x^2+32x-2}{(8x^2+x)^2}

Step-by-step explanation:

For total cost function c(x), average cost is given by \frac{c(x)}{x} i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., \left ( \frac{c(x)}{x} \right )'

Given:c(x)=\frac{3x-2}{8x+1}

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

a)

At x = 50 units,

\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}

b)

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

c)

Marginal average cost:

Differentiate average cost with respect to x

Take f=3x-2\,,\,g=8x^2+x

using quotient rule, \left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}

Therefore,

\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}

3 0
3 years ago
Sara is 9 years younger than her brother, Michael. The sum of their ages is 47 years. How old is Sara and how old is her brother
kotykmax [81]

Answer:

Michael is 38 and Sara is 29

Step-by-step explanation:

Because it says the sum of their age is 47 you do 47-9=38 so that would be Michael's age and than because Sara is 9 years younger than him and then you would do 38-9=29

7 0
3 years ago
On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2). Which expression can be used to f
pav-90 [236]

The area of a triangle is the amount of space on the triangle

The expression that represents the area of the triangle is A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|

The coordinates of the triangle are given as:

R = (-5,6)

S = (3,4)

T = (-2,2)

The area (A) of a triangle from its coordinates or vertices are:

A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|

Substitute values for x's and y's

A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|

Hence, the expression that represents the area of the triangle is A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|

Read more about areas of triangles at:

brainly.com/question/9664477

6 0
2 years ago
Gary is examining an organism. Which of the following characteristics would indicate that the organism belongs in the kingdom An
Ann [662]
The organism is multi cellular, has tissue organization, and has no cell wall<span />
8 0
4 years ago
d. If you double a certain number and subtrack 7 you get the same answer as when you add 5 to the number, Determine the number​
umka21 [38]

Answer:

12

Step-by-step explanation:

Let n = the number.

2n - 7 = n + 5

n = 12


Let’s check if we got the right answer by substituting 12 for n into the original equation.

2*12 - 7 = 12 + 5

24 - 7 = 17

17 = 17

4 0
2 years ago
Other questions:
  • There are three letter tiles—A, B, and C—in a bag; and there are three number tiles—1, 2, and 3—in another bag. Alexis picks a l
    7·1 answer
  • Determine whether or not f is a gradient vector field. if it is, find a function φ such that f = ∇φ. (if the vector field is not
    6·1 answer
  • Solve 11x-6y=3; 5x-8y=-25
    5·1 answer
  • What is 15% tip on a meal that costs $38.40
    12·1 answer
  • Carlota has 3/4 ton of mulch she is going to divide evenly among 5 flower beds. How much mulch will each flower bed contain? Ple
    9·1 answer
  • Select the correct volume.
    8·1 answer
  • If there are 574 cals in 160 grams,<br> how many are there in 100 grams
    5·1 answer
  • A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A secod prism has a square base with a sid
    9·1 answer
  • A water well drilling rig has dug to a height of –60 feet after one full day of continuous use.
    10·1 answer
  • STOP SCROLLING AND HELP ME WITH THIS!! IT IS DUE TOMORROW
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!