The Mulder Farm has 600 acres of land allotted for raising corn and wheat. The cost to cultivate corn is $40 per acre. The cost to cultivate wheat is $25 per acre. The Mulders have $18,000 available to cultivate these crops. How many acres each crop should the Mulders plant

Answers

Answer 1

Answer: Corn = 200 acres

Wheat= 400 acres

Step-by-step explanation:

Let the number of acres of corn = c

Let the number of acres of wheat = w

The Mulder Farm has 600 acres of land allotted for raising corn and wheat. This will be:

c + w = 600

c = 600 - w

Cultivation cost equals:

= 40c + 25w = 18000

Since c = 600 - w, we slot it into the equation

40c + 25w = 18000

40(600 - w) + 25w = 18000

24000 - 40w + 25w = 18000

Collect like terms

24000 - 18000 = 40w - 25w

6000 = 15w

w = 6000/15

w= 400

400 acres of wheat will be planted

Since c + w = 600

c = 600 - 400

c = 200

200 acres of corn should be planted


Related Questions

La siguiente funcion representa el costo del alquiler de un auto, en soles, en funcion del X de dias que se requiera = F (X) = 50 + 80 X

Answers

Answer:

Dado que f (x) = 50 + 80x, obtenemos m = 80, esto significa que el costo aumenta en 80 cada día

Step-by-step explanation:

La siguiente función representa el costo del alquiler de un auto, en soles, en función del número x de días que se requiera: f(x) = 50 + 80x. ¿Cuánto vale su pendiente y qué representa? a) 130; representa que, por cada día de alquiler, el costo se incrementa en 130 soles. b) 80; representa que, por cada día de alquiler, el costo se incrementa en 80 soles. c) 50; representa que, por cada día de alquiler, el costo se incrementa en 50 soles. d) 30; representa que, por cada día de alquiler, el costo se incrementa en 30 soles

Answer:

La función es una función lineal. Una función lineal tiene la forma y = mx + b, donde m es la tasa de cambio de y con respecto a x, b es el valor de y en x = 0, x es una variable independiente (no depende de otras variables) ey es una variable dependiente (depende de otras variables)

Dado que f (x) = 50 + 80x, obtenemos m = 80, esto significa que el costo aumenta en 80 cada día

(Apologies for the poor photo quality)

A. 0, 1

B. 0, -4

C. 0, 12

D. 0, 8​

Answers

I believe it is C: (0,12)

Hope this helps!

HELPP MEE PLEASEE I DONT KNOW IT

Answers

Answer

36 hope this helps

Answer:

36°

Step-by-step explanation:

u have the explination for the last one, so im just gonna give u the answer k?

btw that weird little upside down t means parrallell

Julie sold 4500 mL of lemonade. How many liters did she sell?

Answers

Answer:

4.5

Step-by-step explanation:

4.5
To find the answer you should divide 4,500 by 1000, hence there are 1000 liters in 1 mL

Write an expression that is equivalent to three over four (5z+ 16). (4 points)
Group of answer choices

15 over four z + 16

15 over four z + 12

three over four z + 16

three over four z + 12

Answers

Answer:

15 over four + 12

Step-by-step explanation:

I have had the question in the past

Oct 07, 1:28:22 PM
What is the equation of the line that passes through the point (-4, 4) and has a slope of 3/4

Answers

Answer:

y=3/4x+7

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-4,4) and has a slope of 3/4.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 3/4. So you can right away fill in the equation for a line somewhat to read:

y=3/4x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-4,4). When x of the line is -4, y of the line must be 4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 3/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-4,4).

So, why not plug in for x the number -4 and for y the number 4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-4,4). y=mx+b or 4=3/4 × -4+b, or solving for b: b=4-(3/4)(-4). b=7.

hope this answers your question sorry it's soo long i just like writing long stuff have a great day!!

A consumer spends all of his income on two goods. If his income and the prices of both goods all halve, the consumer will

Buy the same amounts of both goods.
Buy less of one good and more of the other.
Buy less of both goods.
Halve the amount bought of both goods.
Halve the amount bought of one good.

Answers

Answer:

i think its #4

Step-by-step explanation:

sorry if its wrong

A triangle has sides of x, 2x, and 2x+6. If
the perimeter of the triangle is 86 cm,
find the lengths of the sides.

Answers

X+2X+2X+6 = 86
5X=80
X= 16

The graph shows the distances traveled by two runners over several minutes.

A graph measuring distance and time. Two lines, labeled Runner A and Runner B, exit the origin to show that distance increases as time increase

Which runner is moving at a slower rate?

A. Runner A
B. Runner B

Answers

Answer: Runner B


Explanation: Runner A’s slope is steeper meaning they are running faster
The answer is runner B please give me Brainly I’d appreciate it

Calculate the force between two touching grapefruits each with a radius of 0.08 meters and a mass of 0.45 kg

Answers

Answer:hope this helps

The force between two touching grapefruits each with a radius of 0.08 meters and a mass of 0.45 kg is 5.27 * 10⁻¹⁰ N

Newton's law of gravitation is given by:

F = Gm₁m₂/r²

Where F is the force, m₁, m₂ are masses, r is the distance between the two masses and G is the gravitational constant = 6.67 * 10⁻¹¹ Nm²/kg²

Given that m₁ = m₂ = 0.45 kg, r = 0.08 + 0.08 = 0.16 m, hence:

F = 6.67 * 10⁻¹¹ Nm²/kg² * 0.45 kg * 0.45 kg / 0.16²

F = 5.27 * 10⁻¹⁰ N

The force between two touching grapefruits each with a radius of 0.08 meters and a mass of 0.45 kg is 5.27 * 10⁻¹⁰ N

Find out more at: https://brainly.com/question/3715235

PLEASE FIND THE ANSWER FAST!!!!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

1/2*base*height

1/2*3*2

=3

Answer:

3

Step-by-step explanation:

Area = 1/2 × Base × Height

Base = 3cm

Height = 2cm

Area = 1/2 × 3 × 2 = 1/2 × 6 = 3cm^2

What exact is perimeter?

Answers

Answer:

2(L*W)

Step-by-step explanation:

please help solve with step by step process.

3x + 4.7 < -1.5x + 6.5

Answers

Answer:

x < .4

Step-by-step explanation:

Please mark Brainliest when you’re able :)

Answer:

Step-by-step explanation:

Step 1 - replace the < with an =

3x + 4.7 = -1.5x + 6.5

Step 2 - subtract 4.7 from each side, and add 1.5x to each side

3x + 1.5x = 6.5 - 4.7

4.5x = 1.8

Step 3 - divide each side by 4.5

x = 1.8/4.5

x = .4

Step 4 - change the = back to <

x < .4

Just make sure when you do it this way you check the answer because if you solved by subtracting 3x and subtracting 6.5 you would end up with .4 = x this .4 < x which is false. So depending what number you get always plug in a number bigger and smaller into the original to check. In this case 0 and 1 work.

3(0) + 4.7 < -1.5(0) + 6.5

4.7 < 6.5 which is true.

3(1)+ 4.7 < -1.5(1) + 6.5

3+4.7 < -1.5 + 6.5

7.7 < 5 which is false

So we know the direction on our < is right.

3.12 X 10 to the power of 3

Answers

Answer:the answer is 3120

Answer:

3120

Step-by-step explanation:

Which expressions are equivalent to \dfrac{4^{-3}}{4^{-1}} 4 −1 4 −3 ​ start fraction, 4, start superscript, minus, 3, end superscript, divided by, 4, start superscript, minus, 1, end superscript, end fraction ? Choose 2 answers: Choose 2 answers: (Choice A) A \dfrac{4^1}{4^3} 4 3 4 1 ​ start fraction, 4, start superscript, 1, end superscript, divided by, 4, cubed, end fraction (Choice B) B \dfrac{1}{4^{2}} 4 2 1 ​ start fraction, 1, divided by, 4, squared, end fraction (Choice C) C 4^3\cdot 4^14 3 ⋅4 1 4, cubed, dot, 4, start superscript, 1, end superscript (Choice D) D (4^{-1})^{-3}(4 −1 ) −3

Answers

Answer:

[tex]\dfrac{4^{-3}}{4^{-1}} = \dfrac{4^{1}}{4^{3}}[/tex]

[tex]\dfrac{4^{-3}}{4^{-1}} = \dfrac{1}{4^{2}}[/tex]

Step-by-step explanation:

Given

[tex]\dfrac{4^{-3}}{4^{-1}}[/tex]

Required

Choose equivalent expressions

Choosing the first answer:

[tex]\dfrac{4^{-3}}{4^{-1}}[/tex]

Split expressions

[tex]4^{-3} * \frac{1}{4^{-1}}[/tex]

Apply laws of indices: [tex](a^{-b} = \frac{1}{a^b})[/tex]

[tex]\frac{1}{4^3} * \frac{1}{4^{-1}}[/tex]

Apply laws of indices: [tex](a^{-b} = \frac{1}{a^b})[/tex]

[tex]\frac{1}{4^3} * \frac{1}{1/4}[/tex]

[tex]\frac{1}{4^3} * \frac{4^1}{1}[/tex]

[tex]\frac{4^1}{4^3}[/tex]

Hence:

[tex]\dfrac{4^{-3}}{4^{-1}} = \dfrac{4^{1}}{4^{3}}[/tex]

Choosing the second:

[tex]\dfrac{4^{-3}}{4^{-1}}[/tex]

Apply law of indices: [tex](\frac{a^m}{a^n} = a^{m-n})[/tex]

So,

[tex]\dfrac{4^{-3}}{4^{-1}} = 4^{-3-(-1)}[/tex]

[tex]\dfrac{4^{-3}}{4^{-1}} = 4^{-3+1)}[/tex]

[tex]\dfrac{4^{-3}}{4^{-1}} = 4^{-2}[/tex]

Apply law of indices: [tex](a^{-b} = \frac{1}{a^b})[/tex]

So:

[tex]\dfrac{4^{-3}}{4^{-1}} = \dfrac{1}{4^{2}}[/tex]

Answer: 4^-2

Step-by-step explanation:

What is the equation in standard fline y =








9x-7y=63

Answers

Answer:

m=9/7

Step-by-step explanation

I dont think its right but i hope it helps!

PLEASE HELP I NEED EXPLAINATION ASAP NO ROCKY!!!

|x − 7| + 9 = 9

Answers

Answer:

x=8

Step-by-step explanation:

the variable by dividing each side by factors that don't contain the variable.

x=8

Answer:

x=7

Step-by-step explanation:

lx-7l+9=9

lx-7l=0 (Canceled the equal terms on both sides of the equation)

x-7=0

x=7

Explain how to evaluate three to the fourth power.

Answers

Answer:

i think is 81

Step-by-step explanation:

multiply 3.3.3.3 you would get 81

[tex]3^{4}[/tex] will be equivalent to 81 .

Given,

[tex]3^{4}[/tex]

Now,

A quantity representing a power upto which a number of expression is raised often written in superscript of number or an expression.

Simplify the given form,

[tex]3^{4}[/tex]

= 3*3*3*3

= 9* 9

= 81

Hence,

3 to the fourth power is equal to 81 ( [tex]3^{4} = 81[/tex] ) .

Know more about exponent,

https://brainly.com/question/17173276

#SPJ6

synonym for precious

Answers

Answer:

valuable, costly, expensive, fine, rare, there are more but here re some :)

1. if the sum of the square of the number and 4 time the number is 21 what is the number?
2.if the sum of the square of the number and 4 time that number is 21 the what is the number?
3. the length of the rectangle is 3 less than twice the width. if the area is 9 square ft, the length and width of the rectangle.
4.given the figure below. find the area of the shaded part of the rectangle if the area of the big but angle is 6 times the area of the unshaded rectangle ​

Answers

Answer:

Step-by-step explanation:

1. Let the number be x

x^2 + 4x = 21

x^2 + 4x - 21 = 0

Solve the quadratic equation using factorization method

x^2 - 3x + 7x - 21 = 0

x(x - 3) + 7(x - 3) = 0

(x - 3)(x+7) = 0

x - 3 = 0 x + 7 = 0

x = 3 x = -7

The number is either 3 or -7

2. Same solution as number 1

3. Let

Width = x

Length = 2x - 3

Area of the rectangle = 9 square ft

Area of a rectangle = length × width

9 = (2x - 3) (x)

9 = 2x^2 - 3x

2x^2 - 3x - 9 = 0

Solve using quadratic formula

a = 2

b = -3

c = -9

x = -b +or- √b^2 - 4ac / 2a

= -(-3) +or- √(-3)^2 - 4(2)(-9) / 2(2)

= 3 +or- √ 9 - (-72) / 4

= 3 +or- √9 + 72 / 4

= 3 +or- √81 / 4

= 3 +or- 9 / 4

x = (3 + 9)/4 or (3 - 9) / 4

= 12 / 4 or -6 / 4

x = 3 or -3/2

Width can not be a negative value

So,

Width = x = 3 ft

Length = 2x - 3

= 2(3) - 3

= 6 - 3

= 3ft

2.if the sum of the square of the number and 4 time that number is 21 the what is the number?

3. the length of the rectangle is 3 less than twice the width. if the area is 9 square ft, the length and width of the rectangle.

4.given the figure below. find the area of the shaded part of the rectangle if the area of the big but angle is 6 times the area of the unshaded rectangle ​

Unshaded area

Length = 2x

Width = x

Shaded area

Length = (2x+3)

Width = (x+3)

Area of the shaded area = 6 × the unshaded area

(2x) (x) = 6(2x + 3)(x+3)

2x^2 = 6(2x^2 + 6x + 3x + 9)

2x^2 = 12x^2 + 36x + 9x + 54

2x^2 = 12x^2 + 45x + 54

12x^2 + 45x + 54 - 2x^2 = 0

10x^2 + 45x + 54 = 0

2 + 1.25f =10-2.75f​

Answers

Answer:

f = 2

Step-by-step explanation:

2 + 1.25f =10-2.75f

Add 2.75f to each side

2 + 1.25f+2.75f =10-2.75f+2.75f

2+ 4f = 10

Subtract 2 from each side

2+4f-2 = 10-2

4f = 8

Divide each side by 4

4f/4 = 8/4

f = 2

Answer:

2

Step-by-step explanation:

Khan Academy and lemme explain.

The range has to be within 1-5, if its over, we know we won't have to get the wrong answer. For me, I honestly guessed the number 3, but then I had to put in each number in the equation. 2 was the solution, because they ended up the same.

2 + (1.25 * 2)

2 + 2.5 = 4.5

10 - (2.75 * 2)

10 - 5.5 = 4.5

4.5 = 4.5

Therefore the answer is 2.

What is the area of the triangle?

Answers

Answer:140

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

A sign at West High
School has the shape shown.
Measure each of the angles
and classify them as right,
acute, or obluse.

Answers

Answer:

5inches in all angles 2 right 2 obtuse 1 acute

Step-by-step explanation:

their sum is -15, and their product is -54

Answers

Answer:

-18 & 3

Step-by-step explanation:

-18 + 3 = -15

-18 * 3 = -54

Use the distributive property to solve the following equation:
2 + 4(2z + 3) = 15

Answers

Answer:

8z+12

Step-by-step explanation:

Answer:z=18Step-by-step explanation:2+4(2z+3)=15Step 1: Simplify both sides of the equation.2+4(2z+3)=152+(4)(2z)+(4)(3)=15(Distribute)2+8z+12=15(8z)+(2+12)=15(Combine Like Terms)8z+14=158z+14=15Step 2: Subtract 14 from both sides.8z+14−14=15−148z=1Step 3: Divide both sides by 8.8z8=18z=18

YEHE BOI

Which expression represents "8 times the sum of a number and 3"?

Answers

Answer:

8(x + 3)

Step-by-step explanation:

The GIC class is making a square window frame out of four pieces of wood. Each piece of wood is a rectangular prism with a length of 38 cm, a height of 4 cm, and a width of 6 cm. What is the total volume of the wood used in the frame?

Answers

I think its 17cm hope this belped

I will give you all 5 stars ⭐⭐⭐⭐⭐

Answers

Answer:

fkrmvgbhd

Step-by-step explanation:

Answer:

its BBBBBBBBBBBBBB

Step-by-step explanation:

plz give brainliest

helpppp please ! tytyy

Answers

The answer is B, the answer is 9,318,000= 9.318•10 to the 6th power

Answer:

9.318 * 10^6.

Step-by-step explanation:

(9.3 * 10^6) + (1.8 * 10^4)

= 9300000 + 18000

= 9318000

= 9.318 * 10^6.

What is the quotient of the fractions below? ​

Answers

After dividing the two fractions, the answer in simplest form is

33/25

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