ASAP!! PLEASE I NEED HELP!!
A farmer needs to fence a rectangular plot of land with the area of 3000 square yards. He considers several possible length of the plot: 50 yards, 40 yards, 48 yards, and 36 yards. What will be the width of the plot in each case? Do the length and the width of the rectangular plot vary directly or inversely when the same area is needed? Explain why.
Answer:
If the length is 50 yd, the width is
yd.
If the length is 40 yd, the width is
yd.
If the length is 48 yd, the width is
yd.
If the length is 36 yd, the width is
yd.
The length and the width vary .

Answers

Answer 1

Answer:

If the length is 50 yd, the width is  60 yd.

If the length is 40 yd, the width is  75 yd.

If the length is 48 yd, the width is  62.5 yd.

If the length is 36 yd, the width is 83.33 yd.

The length and the width vary inversely because when the length decreased the width increased

Step-by-step explanation:

The area of any rectangle A = L × W, where

L is its lengthW is its width

The relation is direct proportion if the quotient of two quantity equals constant  (y/x = k, when y and x increased) and inverse if the product of the two quantity equals constant (yx = k, when x increased y decreased and vice versa)  

∵ The area of the rectangular plot of land = 3000 yards²

∴ A = 3000

∵ Its length = 50 yards

∴ L = 50

→ Substitute them in the rule above to find W

∵ 3000 = 50 × W

→ Divide both sides by 50 to find W

∴ 60 = W

The width of the plot is 60 yards

∵ Its length = 40 yards

L = 40

→ Substitute them in the rule above to find W

∵ 3000 = 40 × W

→ Divide both sides by 40 to find W

∴ 75 = W

The width of the plot is 75 yards

∵ Its length = 48 yards

L = 48

→ Substitute them in the rule above to find W

∵ 3000 = 48 × W

→ Divide both sides by 48 to find W

∴ 62.5 = W

The width of the plot is 62.5 yards

∵ Its length = 36 yards

L = 36

→ Substitute them in the rule above to find W

∵ 3000 = 36 × W

→ Divide both sides by 36 to find W

∴ 83. 33 = W

The width of the plot is  83.33 yards

∵ The area is a constant value

∵ A = LW

→ The product of L and W equals the constant value, can you discover

   that from the values of L and W

∴  The length and the width of the rectangular plot vary inversely

Answer 2

The length and the width of the rectangular plot vary  inversely when the same area is needed.

Area of Rectangle:

Area of rectangular plot [tex]=length *width[/tex]

Given that, Area of plot is 3000 square yards.

If the length is 50 yards. Then,

             [tex]width=\frac{3000}{50} =60yd[/tex]

If the length is 40 yards. Then,

            [tex]width=\frac{3000}{40}=75yd[/tex]

If the length is 48 yards. Then,

            [tex]width=\frac{3000}{48}=62.5yd[/tex]

If the length is 36 yards. Then,

           [tex]width=\frac{3000}{36}=83.34yd[/tex]

Learn more about the area of rectangle here:

https://brainly.com/question/25292087          


Related Questions

The distance between two points is √39 One endpoint is (4,−3). It is known that the y-coordinate of the other endpoint is 2.

What is the x-coordinate of this endpoint?

Answers

Answer:

[tex](4-\sqrt{14}, 2)\text{ or } (4+\sqrt{14}, 2)[/tex]

Step-by-step explanation:

We have the two points: (4, -3) and (x, 2).

We know that the distance between them is √39.

To find our x-coordinate of the second point, we can use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Let (4, -3) be (x₁, y₁) and let (x, 2) be (x₂, y₂). We also know that the distance d is √39. Substitute:

[tex]\sqrt{39}=\sqrt{(x-4)^2+(2-(-3))^2[/tex]

Solve for x. First, let's square both sides. This cancels out the square roots:

[tex]39=(x-4)^2+(2+3)^2[/tex]

Evaluate the second term on the right:

[tex]39=(x-4)^2+(5)^2[/tex]

Square:

[tex]39=(x-4)^2+25[/tex]

Subtract 25 from both sides:

[tex]14=(x-4)^2[/tex]

Take the square root of both sides. Since we're taking an even root, we need plus/minus. So:

[tex]x-4=\pm\sqrt{14}[/tex]

Add 4 to both sides:

[tex]x=4\pm\sqrt{14}[/tex]

Therefore, there exists two possibilities for our second point. It can either be:

[tex](4-\sqrt{14}, 2)\text{ or } (4+\sqrt{14}, 2)[/tex]

And we're done!

Express the shaded area as a fraction, a decimal, and a percent of the whole.

Answers

Fraction 1/2
Decimal .5
Percent 50%

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Fraction :

[tex] \frac{1}{2} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Decimal :

[tex]0.5[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Percent : 50 %

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Round 34,330 to the nearest thousand

Answers

Answer:30,000

Step-by-step explanation:

5 or more is greater 4 or you give it a rest

The answer is 30,000

Good luck

write a verbal expression for x + y

Answers

y=Mx+-b pgigigiggihiihihohohoh

HEY YOU, YES YOU, PLEASE HELP ME ASAP!!

Answers

(-3,0) is your answer
Pls mark brainliest

Solve 6.74x – 1.026 = 0.138. Round to the nearest thousandth. Show your work.

Answers

Answer:

x=0.173

Step-by-step explanation:

First thing I would do is add 1.026 to both sides. This would get you a equation that looked like, 6.74 x=1.164. Then just divide 1.164 and 6.74 by 6.74. This would get you x=0.1727003. Then because you have to round to the nearest thousand you have to round the 2 up because 7 is more then 5. Keep the first two number the same. The final answer is x=0.173.

8.5 x 103 - 5.3 x 103 -1.0 x 102

Answers

Answer:227.6Hope this helps!!

The ratio of cows to chickens on Jack's farm is 3:5. Choose ALL correct statements that describe this relationship.

Answers

what are the answer choices

VsgsscNw d dhdnBskele r. Eheu

Answers

Lzlsjxkskalsokxjxjsks :)!

Translate this sentence into an equation.
57 is the sum of 9 and Diego's height.
Use the variable d to represent Diego's height.

Answers

Answer:

d + 9 = 57

Step-by-step explanation:

Richard is W years old express algebraically is age 10 years ago

Answers

Answer:

W-10

Step-by-step explanation:

Plzz mark me brainlest as it really need it to level up

w-10 cause he is w and you subtract 10 cause it was 10 years ago

Part b at the airport to walk from the car to the waiting area by the gate was

Answers

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

help i am stuck look at the image to see but here anyways A teacher is planning a class trip to the aquarium. The aquarium requires two chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones and how many are for students

Answers

75 tickets are for the students and 10 are tickets are for the chaperones

Answer:

Kids- 75

Chaperones- 10

Step-by-step explanation:

We know that the total is 85 tickets. then the aquarium requires 2 chaperones for 15 kids, so you need to do...

15 + 2 = 17

85 / 17 = 5

15 x 5 = 75

2 x 5 = 10

check you work-

75 + 10 = 85

Jordan will hike the trail shown at a rate of 2 mi/h. Write a linear equation to represent the distance Jordan still has to
walk after x hours. What does the y-intercept of the equation represent?

Answers

Answer:

If y represents the distance Jordan still has to walk after x hours, then the equation [tex] y = -2x + 13 [/tex] describes the given equation.

The y-intercept of the equation represents total distance of the trail

Step-by-step explanation:

A linear equation can be written to represent the situation above using the slope-intercept equation form, which is given as [tex] y = mx + b [/tex]

Where,

m = slope or rate of change = -2 mi/h (the slope is negative, because distance remaining decreases as hours increases)

b = y-intercept = 13 miles (this is the total distance of the trail. x (hours) is zero at this point)

The equation of the given situation, in slope-intercept form would be:

[tex] y = -2x + 13 [/tex]

A linear equation can be use to describe Jordan's distance because the

rate of change of the distance with time is constant.

First part: The linear equation is; y = 13 - 2·xSecond part: The y-intercept represents the total distance of the trail.

Reasons:

From the map in the question, we have;

The distance of the trail Jordan has to hike = 13 miles

The rate at which Jordan will work = 2 mi/hr.

Part One:

Required:

The linear equation that represents the distance Jordan still has to walk

after x hours.

Solution:

Let y represent the distance Jordan still has to walk after x hours

The distance walked per hour = 2 miles

The distance walked after x hours = x × 2 miles = 2·x miles

Total distance = 13 miles

Distance remaining = Total distance - Distance walked

Distance remaining, y = 13 - 2·x

The linear equation that gives the distance Jordan still have to walk after x hours, is therefore;

y = 13 - 2·x

Second part:

The y-intercept is the y-value when x = 0

Therefore;

The y-intercept is; y = 13 - 2 × 0 = 13

Therefore;

The y-intercept represents the distance Jordan has to walk at the start

when the time, x, is 0, which is 13 miles or the the entire distance Jordan

has to walk.

Learn more here:

https://brainly.com/question/16924122

The science club charges $6.50 per car at their car wash. How many cars do they have to wash to earn at least $500?

Answers

Answer: 77 cars

Step-by-step explanation: 6.50 * 77 = 500.5

What’s the slope for (15,8) (10,7)

Answers

Answer:

[tex]\frac{1}{5} = 0.2[/tex]  

I hope this helps!

What is the correct next step to solve 3+2m=4m+1
A 3=2m+1
B 3+6m=1
C 3=6m+1
D 4=6m

Answers

The correct answer would be c because you need to move the 2m over to the side with the more m’s so you would then have 3=6m+1


6. Joann needs $100 for a class trip. She has already saved $44. She sells
jean passes for $5 each. Which equation shows how many jean passes she
will need to sell?
A) 100 = 5x - 44
B) 100 = 5x + 44
C) 100 = -5x + 44
D) 100 = -5x + (-44)

Answers

Answer:

C

Step-by-step explanation:

Hope this helps :)

Brainest pls?

Answer:

answer c I took it got 100%

Please help me figure this out-

Find the measure of the indicated angle that makes lines U and V parallel.

Answers

Answer:

80

Step-by-step explanation:

100°+?=180

?=180-100=80

The product of two consecutive odd integers is 2,915. Build a function that can be used to
solve for the integers. What are the two integers?

Answers

So we need to write some expressions first.
So for 2 consecutive odd integers you could have (2n-1) and (2n+1) as these are consecutive and odd. When you multiply these you get 2915 so

(2n-1)(2n+1) = 2915

So multiply out

4n^2 -2n +2n -1 = 2915
4n^2 -1 = 2915
4n^2 = 2916
n^2 = 729
N = 27
So 2n + 1 is 27x2 +1 is 55 and 2n -1 is 53

The two integers are 55 and 53

Hope this helps, let me know if you have any questions

The values of the two consecutive odd integers are 53 and 55.

Let the two consecutive odd integers be x and x+2.

Based on the information given, the equation to solve the question will be:

x(x + 2) = 2915

x² + 2x = 2915

x² + 2x - 2915 = 0

x² + 55x - 53x - 2915 = 0

x(x + 55) - 53(x + 55) = 0.

Therefore, x - 53 = 0

x = 0 + 53 = 53

x + 2 = 53 + 2 = 55

Therefore, the numbers are 53 and 55.

Read related link on:

https://brainly.com/question/18617854

Directions: Find the value of x.

5x-2 || 3x+4 || LOOK AT PICTURE PLEASE!!!!

Answers

Answer:

Step-by-step explanation:

180-90=90

5x-2+3x+4=90

5x-2+3x=90-4=86

5x+3x=86+2=88

8x=88

X=11

It will be nice if you give me brainliest.Good luck!

The value of x in the given right triangle is 11.

What is right triangle?

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.

Given is a right triangle, with angles 5x-2 and 3x+4

We know that the sum of the both acute angles of a right triangle, is 90°

Therefore,

5x-2 + 3x+4 = 90°

8x = 88

x = 11

Hence, the value of x in the given right triangle is 11.

For more references on right triangle, click;

https://brainly.com/question/29285631

#SPJ2

Mary is the manager of a new clothing shop. The shop located in a new shopping mall and Mary wants to estimate the average daily demand for her clothes. From her own experience, she believes that the mean daily demand of her clothes in this region should be greater than or equal to 100. She is going to perform a survey to test this claim and the result will be used to decide how many clothes should be maintained every morning in order to satisfy the customers' needs. (a) What is the implication of Type I error in this case? (b) What is the implication of Type II error in this case? (c) Which type of error is more significant (important), for Mary, in this case?

Answers

Explanation:

a) First, note that the Type I error refers to a situation where the null hypothesis is rejected when it is actually true. Hence, her null hypothesis would be H0: mean daily demand of her clothes in this region should be greater than or equal to 100.

The implication of Type I error in this case is that Mary rejects that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually true.

b) While, the Type II error, in this case, is a situation where Mary accepts the null hypothesis when it is actually false. That is, Mary accepts that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually false.

c) The Type I error would be important to Mary because it shows that she'll be having a greater demand (which = more sales) for her products despite erroneously thinking otherwise.

Ariana needs to rent a car while on vacation. The rental company charges $18.95, plus 16 cents for each mile driven. If Ariana only has $40 to spend on the car rental, what is the maximum number of miles she can drive?

Ariana can drive a maximum of
miles without the cost of the rental going over $40.Round your answer to the nearest mile.

Answers

Answer:

Ok simple Algebra Question:

Let "x" be the number of miles she drives.

18.95 + 0.16x = 40.00

Subtract 18.95 from both sides.

0.16x = 21.05

Divide both sides by 0.16

You get:

x = 131.5625

Round to nearest mile:

Answer is: 132

2x•(-3x)+5•(2x²)-x•x=

??

Answers

Answer:

Step-by-step explanation:

Children’s Fever Medicine
(given every 4–6 hours, as needed)
Weight 24+ lbs 36+ lbs 48+ lbs 60+ lbs 72+ lbs
Dosage 5 mL 7.5 mL 10 mL 12.5 mL 15 mL

a) Evaluate the data and find the rate of change from one age group to the next. Explain how you found the rate of change. (2 points)

Answers

Answer:

The rate of change would be 50

Step-by-step explanation:

The graph with weight is going by 12 in each so an example would be 24 and 36 is going by 12 like the graph. and the dosage is going by 2.5 an example would be 5 and 7.5 witch is going by 2.5

will give brainliest
Help
Question 1:
Which of the following expressions are equivalent to −3.5(2 − 3n) − 2.5n?


A. −7 − 8n
b. −7 − 13n
c. −7 − n(10.5 − 2.5)
d. . −7 + n(10.5 − 2.5)

Answers

Answer:

A is your correct answer

Step-by-step explanation:

Expand -3.5(2-3n): -7+10.5n

=-7+10.5n-2.5n

Add similar elemnts:  10.5n-2.5n=8n

=-7-8n

Suppose we want to choose 6 letters, without replacement, from 12 distinct letters

Answers

I don’t understand your question

What is the slope intercept form for this?
Slope= 2/3 Y intercept= -1

Answers

Answer:

y = 2/3x-1

Step-by-step explanation:

If (-8, 3) is reflected across the x-axis the new point would be

Answers

Answer:

(-8, -3)

Step-by-step explanation:

Mike sold half of his comic books and then bought 8 more. He now has 18. How many did he begin with?

Answers

Answer: 20

Step-by-step explanation:

Answer:

20.

Step-by-step explanation:

If he sold half of them, bought 8 more, and now has 18, he had 20 to begin with.

Other Questions
melonie is 3 times older than her cousin their total of there ages are 36 how old is melonies cousin Subtract 1 4/5 from 4 2/3 =? Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C. Initially, there are 100 grams of A and 50 grams of B, and for each gram of B, 2 grams of A is used. It is observed that 10 grams of C is formed in 7 minutes. How much is formed in 28 minutes? (Round your answer to one decimal place.) grams What is the limiting amount of C after a long time? grams How much of chemicals A and B remains after a long time? A grams B grams At what time is chemical C half-formed? t = min Write at least one, but up to five paragraphs for each:1. What was Blitzkrieg? Why was it so different compared to past warfare? How did Radar come into play in the war?2. How did Pearl Harbor change the war?3. What difference did those working at home make to the war in democracies as well as authoritarian states?4. The Holocaust: explain. (?)5. What problems were to be solved upon wars end? Does anybody know this one as well plz I really need it I have a test and it ends in 20 thank you so much Find ma. 90b. 31c. 59 Graph the line with slope 7 and y-intercept 6. The average speed of a plane was 500 kilometers per hour . How long did it take the plane to travel 100 kilometers Hay un (una)What does this mean in English What is the slope of a line perpendicular to y=4/3x+4 During a baseball game, a hitter strikes the ball with a bat. When this happens, the balland the bat exert a force on each other. Why does the ball accelerate away from the batmore than the bat accelerates away from the ball?a. The ball has less mass, so it exerts less force on the bat.b. The bat exerts more force than the ball because the batter is exerting a forceon the bat as it hits the ball.c. The ball has less mass, so the equal force on the ball and the bat causesgreater acceleration of the ball.d. The ball has a greater velocity before the collision, so the force affects the ballmore than it affects the bat. Drag the comma to the correct place in the sentence. Amber said I hope I am not late for the school bus this morning Please help within the next hour 1. The wealth that help to drive the Renaissance was created througha. Warb. Gifts to the churchC. Gold mines in Europed. International trade2.The Renaissance began in italy because of which of the following?a. Thriving of city-statesb. Wealthy merchantsc. Influx of refugees from Constantinople with their Greek manuscriptsd. All these answers are correct3.The Renaissance was:a. The rebirth of learningb. The revival of fishingc. The rebirth of scienced. All these answers are incorrect4. What is true about Leonardo da Vinci?a. He was an artistb. He was a painterHe wrote backwardsd. He was a scientiste. All these answers are correct5. Famous writers of the Renaissance include:3. Petrarchb BoccaccioMachiaveld. All these answers are correct5.Important female writers during the Renaissance include which of the following?a. Sofoniara AnguissolaArtemisia Geti suCooria ColonnaAll these answers are correct7. The author who wrote Utopia WEE Which statement is equivalent to the inequality 1/2x+3 Angles of triangles I need help with homework What are some things you can learn bystudying Spanish, in addition to thelanguage itself? Why does Armstrong doubt Wargrave's testimony about Edward Seton I need some help on geometry PLEASE HELP AND SHOW HOW YOU GOT THE ANSWER PLEASEEE