Farmer Brown planted corn and wheat on 370 acres of his land.The cost and planting and harvesting corn,c,is $280 per acre.The cost of planting and harvesting wheat,w,is $135 per acre.If Farmer Brown's total cost was $83,300,how many acres of corn than wheat did he plant?

Answers

Answer 1

Answer:

The number of acres of corn planted was 230 and the number of acres of wheat planted was 140

Step-by-step explanation:

Let

c ----> the number of acres of corn

w ----> the number of acres of wheat

we know that

Farmer Brown planted corn and wheat on 370 acres of his land

so

[tex]c+w=370[/tex] -----> equation A

The cost and planting and harvesting corn,c,is $280 per acre

The cost of planting and harvesting wheat,w,is $135 per acre

The Farmer Brown's total cost was $83,300

so

[tex]280c+135w=83,300[/tex] ----> equation B

solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (230,140)

see the attached figure

therefore

The number of acres of corn planted was 230 and the number of acres of wheat planted was 140

Farmer Brown Planted Corn And Wheat On 370 Acres Of His Land.The Cost And Planting And Harvesting Corn,c,is
Answer 2
Final answer:

Farmer Brown planted 230 acres of corn and 140 acres of wheat.

Explanation:

To determine how many acres of corn and wheat Farmer Brown planted, we can set up a system of equations. Let x be the number of acres of corn and y be the number of acres of wheat. From the given information, we have the following equations:

Cost of planting and harvesting corn: 280x

Cost of planting and harvesting wheat: 135y

Total cost: 280x + 135y = 83,300

We also know that the total number of acres planted is 370 acres, so we have the equation:

x + y = 370

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

From the second equation, we can solve for x in terms of y: x = 370 - y

Substitute this expression for x in the first equation:

280(370 - y) + 135y = 83,300

Simplify and solve for y:

103,600 - 280y + 135y = 83,300

-145y = -20,300

y = 140

Substitute the value of y back into the second equation:

x + 140 = 370

x = 230

Therefore, Farmer Brown planted 230 acres of corn and 140 acres of wheat.


Related Questions

A cleaning solution contains 60% water. How much water is in a 32 oz container of cleaning solution? ​

Answers

Answer:

19.2 oz water

Step-by-step explanation:

32 oz times 60%

32

x .6

19.2

What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5,4)?
x=-5
x=4
y = 5
y=4​

Answers

Answer:

Step-by-step explanation:

x=-5

Answer:

It would be A) -5

Step-by-step explanation:

So it could be any number if it’s the x value. So it can’t be C or D

if it passes through (-5,4), then the x would have to be -5

therefore it is A

combine like terms -2+3x+8+(-11x)

Answers

Answer:

6-8x

Step-by-step explanation:

-2+3x+8+(-11x)

-2+3x+8-11x

-2+8+3x-11x

6+3x-11x

6-8x

Help!!!
What is the equation of of the line that represents your initial climb?

Answers

Answer:

y = 3x

Step-by-step explanation:

The exact equation for the climb would be y = (x-3)^2 + 9, however, a rough line that represents the climb is y = 3x.

Find the slope between (0, 0) and (3, 9) and we get m = 3. Plug it into y-int form and you get the line.

Answer:

y = 3x

I did this test last week and its correct.

Step-by-step explanation:

100 POINTS
Please answer the question attached

Answers

The answer to this is I believe OMN and KGH. KGH doesn't say whether the top angle is 22 degrees or not and both OMN and KGH have 79 degree angles at the bottom, so I believe it's OMN KGH.

Answer:

EVERYSINGLE ANGLE HAS 79 DEGREES

Step-by-step explanation:

browns farm market charges $2.50 per pound for locally grown tomatoes

Answers

Where is the rest of the question

What is the area of the shaded region?​

Answers

Answer:

[tex]\large \boxed{\text{21.86 ft}^{2}}[/tex]

Step-by-step explanation:

Area of shaded region = area of square - area of semicircle

1. Area of square

A = s² = (6 ft)² = 36 ft²

2. Area of semicircle

Area of circle = πr²

Area of semicircle = ½πr²

r = 3 ft, so

A = ½π(3 ft)² = ⁹/₂π ft³

3. Area of shaded region

A = area of square - area of semicircle

[tex]\begin{array}{rcl}A & = & \mathbf{\left(36 - \dfrac{9}{2} \pi \right )} \textbf{ ft}^{\mathbf{2}}\\\\ &\approx & \left (36 - 14.1372\right)\text{ ft}^{2}\\ & \approx & \mathbf{21.86}\textbf{ ft}^{\mathbf{2}} \\\end{array}\\\text{The area of the shaded figure is approximately $\large \boxed{\textbf{21.86 ft}^{\mathbf{2}}}$}[/tex]

Solve the following system. Q
-8x - 8y = 0 and -8x + 2y = -20

Answers

Answer:

x=2 and y=−2

Step-by-step explanation:

I will solve your system by substitution.

−8x−8y=0;−8x+2y=−20

Step: Solve−8x−8y=0for x:

−8x−8y+8y=0+8y(Add 8y to both sides)

−8x=8y

−8x

−8

=

8y

−8

(Divide both sides by -8)

x=−y

Step: Substitute−yforxin−8x+2y=−20:

−8x+2y=−20

−8(−y)+2y=−20

10y=−20(Simplify both sides of the equation)

10y

10

=

−20

10

(Divide both sides by 10)

y=−2

Step: Substitute−2foryinx=−y:

x=−y

x=−(−2)

x=2(Simplify both sides of the equation)

Walter struggles to write legibly and has a difficult time putting his thoughts on paper. Which learning disability does he have?

Answers

Disgraphia, search it up

Dysgraphia learning disability . Dysgraphia is a neurological disease in which a person struggles to express their ideas in writing form appropriate to their age and mental capacity .

What is  meant by dysgraphia?

Children who have dysgraphia typically have confusing, uneven handwriting that varies in slant, form, upper- and lower-case letters, as well as cursive and print styles. They also have a tendency to copy or write things slowly.

Dysgraphia is a neurological disease in which a person struggles to express their ideas in writing form appropriate to their age and mental capacity even after receiving proper instruction and schooling. Various signs of dysgraphia might appear at various ages. It is regarded as a learning disability.

The disorder's origin is uncertain, however in adulthood, parietal lobe injury is frequently a contributing factor. Treatment for motor abnormalities to help control writing movements may be part of dysgraphia treatment, which varies. Other therapies could deal with memory loss or other neurological issues.

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Which equation is equivalent to the equation 9x-10 =35?
a. 9x = 25 c. 9x = -25
b. 9x = 45 d. 9x = -45

Answers

B. Because x = 5 and 5x9 equals 45
B because 35+10= 45, so 9x=45

Gabbys age is two times mikhails age.the sum of their ages is 75. What is mikhails age

Answers

Answer:

Mikhail's age is 25 years old

Step-by-step explanation:

Let's make an equation: Say Mikhail is x, so Gabby would be 2*x=2x

If the sum of their ages equals 75, then x+2x=75, and x=2x=3x, so 3x=75.

75/3=25

Final answer:

Gabby's age is twice Mikhail's age, and the sum of their ages is 75. By setting up and solving a system of equations, we can determine that Mikhail's age is 25.

Explanation:

To solve this problem, we can set up a system of equations using the information given. Let's say Gabby's age is represented by 'G' and Mikhail's age is represented by 'M'. We know that G = 2M and the sum of their ages is 75, so we can write the equation G + M = 75. Now we have a system of equations:

G = 2M and G + M = 75.

To solve this system, we can substitute the value of G from the first equation into the second equation: 2M + M = 75. Combine like terms: 3M = 75. Divide both sides by 3: M = 25. So Mikhail's age is 25 years old.

Attendance at a museum more than tripled this week.last week,186 people went to the museum. Write and inequality to show how many people

Answers

Answer:

Step-by-step explanation: your unknown would be BABY IAN GOT TIME TO ANSWER YO QUESTION?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Find x, y, and z. For number 24

Answers

x = 32, y = 11.31, z = 33.94

Step-by-step explanation:

Step 1: Let the triangle be ΔABC with B as the right angle. Let the hypotenuse be intersected by the altitude drawn from B at D. So there are 3 triangles, ΔABC, ΔADB and ΔBDC.

Step 2: To find x, y and z, use Pythagoras theorem where square of hypotenuse is equal to sum of squares of the other two sides of the right triangle.

Step 3: Make equations based on the theorem for all 3 triangles.

In ΔABC, (4+x)² = 12² + z²

⇒ 16 + 8x + x² = 144 + z²

⇒ x² + 8x - z² = 128 --------- (1)

In ΔADB, 12² = 4² + y²

⇒ 144 = 16 + y²

⇒ y² = 128 ------- (2)

In ΔBDC, z² = x² + y²

⇒ z² = 128 + x² ------ (3)

Substituting (3) in (1) ⇒ x² + 8x - (128 + x²) = 128

⇒ x² + 8x - 128 - x² = 128

⇒ 8x = 256

x = 32

From (3), z² = 128 + 32² = 128 + 1024 = 1152

z = 33.94

From (2), y² = 128

⇒ y = 11.31

write the ratio 2/7 to 4 as a fraction in simplest form

Answers

Answer:

1/14

Step-by-step explanation:

2/7 to 4 means 2/7 to 4/1

This gives

2/7

4/1

rearranging, we have;

2/7 * 1/4

2 * 1

7 * 4

= 2/28

to reduce to the simplest form, we'll divide the numerator and denominator by 2 ( the HCF of both)

1/14

Final answer:

To write the ratio 2/7 to 4 as a fraction in simplest form, multiply both the numerator and denominator of 2/7 by 4. Simplify the resulting fraction by dividing both the numerator and denominator by their common factor, which is 4. The simplest form of the ratio is 2/7.

Explanation:

To write the ratio 2/7 to 4 as a fraction in simplest form, we need to multiply both the numerator and denominator of 2/7 by 4. This gives us (2 * 4) / (7 * 4) = 8/28. Since both 8 and 28 have a common factor of 4, we can simplify the fraction further.

Dividing both the numerator and denominator by 4, we get 8/28 = 2/7.

Therefore, the ratio 2/7 to 4 as a fraction in simplest form is 2/7.

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good morning,
What is the domain of the function graphed below?
thanks yall

Answers

Answer:

A. {x / x ≠ -2, 3}

Step-by-step explanation:

In the graph, we can find the vertical asymptotes of the given graph is at x = -2 and x = 3.

You can see the vertical line red dotted line in the graph. That is called vertical asymptotes.

The vertical asymptotes cannot be the domain of the functions.

All other integers are domain except x = -2 and x = 3.

Therefore, answer is A. {x / x ≠ -2, 3}

is 2/2 and 3/2 perpendicular

Answers

Answer:

No

Step-by-step explanation:

in order for a slope to be perpendicularit needs to me the opposite recipricol

so to be perpendicular to 3/2 it would be -2/3

Write 5.5.5.5. in
exponential notation.

Answers

Answer:

5.5.5.5

= 5^4

=625

Explanation:

5 to the power of 4 is equal to 625

Final answer:

Redefined format 5.5.5.5 as 5 * 5 * 5 * 5, converted to exponential notation as 5^4. The base is 5, exponent is 4, showing multiplication of the base 4 times.

Explanation:

The number 5.5.5.5 that you've provided seems to have a format error considering the extra dots you've used. If by any chance you meant 5 * 5 * 5 * 5, it in exponential notation is 54. '5' is the base and '4' is the exponent, the latter representing the number of times the base is multiplied by itself. In this case 5 is multiplied by itself 4 times.

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Three plants grew 3/4 feet. How much did they grow in all

Answers

Answer:

2 and 1/4

Step-by-step explanation:

2 adjacent angles of a parallelogram are (2x+45°) and (4x-15°) . What is the value of x?



Answers

Value of x is 25°

Step-by-step explanation:

Step 1: Adjacent angles of a parallelogram are supplementary. Therefore their sum is equal to 180°

⇒ (2x + 45°) + (4x - 15°) = 180°

⇒ 6x + 30° = 180°

⇒ 6x = 150°

x = 25°

Step-by-step explanation:

Adjacent angles of a parallelogram are Supplementary.

[tex] \therefore \: (2x + 45 \degree) + (4x - 15 \degree) = 180 \degree \\ \\ \therefore \: 6x + 30 \degree = 180 \degree \\ \\ \therefore \: 6x = 180 \degree - 30 \degree \\ \\ \therefore \: 6x = 150 \degree \\ \\ \therefore \: x = \frac{150 \degree }{6} \\ \\ \huge \red{ \boxed{\therefore \: x = 25 \degree }}[/tex]

a fireman leaned a 36 foot ladder against a building. if he placed the ladder 7 feet from the base of the building what angle is formed between the ladder and the ground

Answers

Answer:

78.79°

Step-by-step explanation:

A fireman placed a ladder of length 36 feet against a building.

Now, if he placed the ladder 7 feet from the base of the building, then the angle formed between the ladder and the ground will be [tex]\theta[/tex] (Say).

Now, the ladder, the base ground and the building forms a right triangle and the ladder is the hypotenuse of the triangle and [tex]\theta[/tex] is the base angle.

So, [tex]\cos\theta = \frac{\textrm {Base length}}{\textrm {Ladder length}} = \frac{7}{36}[/tex]

⇒ [tex]\theta = \cos^{-1}(\frac{7}{36}) = 78.79^{\circ}[/tex] (Answer)

Solve for x in the diagram below.

Answers

Answer:

8x+30°=110°

8x=80°

x=10°

Step-by-step explanation:

because the angles are vertical => they are equal

Simplify the expression (9 + 21)(9 – 21).

Answers

Answer:

-360

Step-by-step explanation:

1. Add 9 + 21 and subtract 9 - 21

2. That would be (30)(-12)

3. Then multiply 30 x -12

4. You get -360

Solve for x: 3x = 2/5

Answers

Answer:

x=2/15

Step-by-step explanation:

3x=2/5

/3 to both sides

3×/3=2/5/3

x=2/15

hope you can help me!!

Write the inequality represented by the graph using the variable x.

Answers

Answer:

[tex]x < 4[/tex]

Step-by-step explanation:

When the circle is open that means it is not equal to and the line is going to the left so it is less than

Answer: x<4

Step-by-step explanation:

You run around a park 18 times. Each lap is 1/6 mile. How many miles do you run

Answers

Answer:3

Step-by-step explanation:

Divide 18 by 6

Answer:

3 miles

Step-by-step explanation:

If each lap is one mile, 18 times = 1/6 + 1/6 + ... + 1/6. This is equal to 18*1/6 by definition of multiplication, and 18*1/6 = 18 divided by 6 because fractions are just big division symbols. This gives 3 or 3 miles.

Which expression represents the number 13,809 written in expanded form?
A 13+80+9
B 13,000+800+90
C9+1,300+80
D 3,000+10,000+9+800

Answers

The answer is D and not b because it’s not 90 it’s 09

Final answer:

The number 13,809 in expanded form is expressed as 10,000 + 3,000 + 800 + 9, which corresponds to option 'D'.

Explanation:

To write the number 13,809 in expanded form, we break the number down into its place values and then write it as a sum of each digit multiplied by its place value. For the number 13,809 this would be:

(1 × 10,000) for the ten-thousands place,

(3 × 1,000) for the thousands place,

(8 × 100) for the hundreds place,

(0 × 10) for the tens place (which is actually 0 and usually omitted in expanded form), and

(9 × 1) for the ones place.

The expression that represents 13,809 in expanded form is therefore 10,000 + 3,000 + 800 + 9, which corresponds to option 'D'.

I don’t know Da answer

Answers

I can help you if you need help

A business owner receives a 5000 loan with 13% interest, charged at the end of each year​

Answers

Answer:

The answer is 5,650

Step-by-step explanation:

The loan is 5,000 and the interest is 13%

First you have to get the percent to a decimal and then multiply it by the loan which in this case is 5,000

13/100 = 0.13

0.13 x 5000 = 5650

You have $1000 in a savings account and the compound interest rate is 5% per year. After 5 years, how much money approximately do you have in the savings account if you left the money to grow? A) $1000 B) $1215 C) $1250 D) $1275

Answers

Answer:

$1275

Step-by-step explanation:

Wal-Mart sells a case of 24 cans of Diet Coke for $6.88 Kroger sells a 12 pack of Diet Coke for $3.99 which is Best Buy?

Answers

Final answer:

The cost per can of Diet Coke is cheaper at Wal-Mart than Kroger. Wal-Mart sells a can for approximately $0.287, while Kroger sells a can for approximately $0.3325. Therefore, Wal-Mart is the best buy.

Explanation:

To determine the best buy between Wal-Mart and Kroger, we need to calculate the price per can of Diet Coke for each store.

For Wal-Mart, the case contains 24 cans for $6.88. So, we divide the total cost by the number of cans: $6.88 ÷ 24 = $0.287 per can

For Kroger, the pack contains 12 cans for $3.99. So, again we divide the total cost by the number of cans: $3.99 ÷ 12 = $0.3325 per can

Comparing the two prices, $0.287 per can from Wal-Mart is cheaper than $0.3325 per can from Kroger. Therefore, buying the case of Diet Coke from Wal-Mart is the best buy.

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Wal-Mart offers a better buy for Diet Coke compared to Kroger, with a price of $0.287 per can versus Kroger's $0.3325 per can.

First, calculate the price per can at Wal-Mart.Wal-Mart sells a case of 24 cans for $6.88.Price per can = $6.88 / 24 cans = $0.287 per can.Next, calculate the price per can at Kroger.Kroger sells a 12 pack for $3.99.Price per can = $3.99 / 12 cans = $0.3325 per can.Finally, compare the prices:Wal-Mart: $0.287 per canKroger: $0.3325 per can

Wal-Mart offers the better buy since the price per can of Diet Coke is cheaper at Wal-Mart ($0.287) compared to Kroger ($0.3325).

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