The chicken coop at the petting farm is 10 x 14‘. The farm would like to double the current area by adding the same amount, X, to the length and width. What are the dimensions of the new enclosure? Round to the nearest hundredth of a foot

Answers

Answer 1

Answer:

x = 4.85 feet

Step-by-step explanation:

Original area of the petting farm = 10 × 14

= 140 square feet

.

New area = double the original area = 140 * 2

= 280 square feet

New area of the petting farm =

Width × length

280 = (10+x) × (14+x)

280 = 140 + 10x + 14x + x²

280 - 140 = x² + 24x

140 = x² + 24x

x² + 24x - 140 = 0

Solve the quadratic equation

x = -b ± √b² - 4ac / 2a

= -24 ± √(24)² - 4*1*-140 / 2*1

= -24 ± √ 576 - (-560) / 2

= -24 ± √ 576 + 560 / 2

= -24 ± √1,136 / 2

= -24 ± 4√71 / 2

= -24/2 ± 4√71/2

= -12 ± 2√71

x = 4.8523 or x = -28.8583

x can not be a negative value

Therefore,

x = 4.85 feet to the nearest hundredth


Related Questions

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

The value of x is 67

Step-by-step explanation:

If two adjacent angles formed a line, then they called a pair of linear anglesThe measure of the pair of linear angles is 180°

In the given figure

∵ One side of the triangle is extended to form an exterior angle of 113°

∵ The angle of 113° and the angle of are adjacent angles

They formed a line (the side is extended)

→ That means they formed a pair of linear angles

∴ The angle of 113° and the angle of formed a pair of linear angles

∵ The measure of the pair of linear angles = 180°

113° + x° = 180

→ Subtract 113 from both sides

∵ 113 - 113 + x = 180 - 113

x = 67

The value of x is 67

If 3/4 of the 12 pencils were sharpened, then how many pencils were sharpened?

Answers

12/4= 3. 3x3=9. 9 of them were sharpened

Answer:

9 pencils were sharp

Step-by-step explanation:

3*4=12 so if three fourths were sharp then 9 were

Can any kind soul help me​

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

M∩N' is the set of numbers divisible by 3 that are not even. In the range [25, 40], those numbers are {27, 33, 39}. There are 3 members of the set.

12/7 Lesson 9 Session 2 Review on Page 208 iready book volume 1

Answers

Answer:

I really dont understand u

Describe the transformation from the graph of f(x) = x + 2 to the graph of g(x) = x − 7.
I need help asap!!!!!!

Answers

the graph went down 9

3(3 + 3j) how do you solve this

Answers

Hi! So first thing you need to do is distribute 3 through the parentheses! Then once you solve that, that is your simplified equation!

Please give brainliest!❤️

Answer: 9j+9

Step-by-step explanation:

3(3+3j)

(3*3j)+(3*3)

9j+9

Help help I will make you brain list!!

Answers

Answer:

No, (8,5) is not a solution of y > x + 7

Step-by-step explanation:

Hope you got it.


Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $30 monthly fee and charges an additional
$0.14 for each minute of calls. The second plan has a $22 monthly fee and charges an additional $0.19 for each minute of calls. For how many minutes of calls
will the costs of the two plans be equal?

Answers

Answer:

The plans will be equal at 160 minutes of call

Step-by-step explanation:

1st plan: y = 0.14x + 30

2nd plan: y = 0.19x + 22

0.14x + 30 = 0.19x + 22

Subtract 0.19x from both sides;

-0.05x + 30 = 22

Subtract 30 from both sides;

-0.05x = -8

Divide both sides by -0.05

x = 160

Write as a mixed number.
25/8

Answers

Answer:

3 1/8

Step-by-step explanation:

How do you solve this Matrix equation

x+2x-3z=-2
x-y+z=-1
3x+4y-4z= 4

Answers

Answer:

look this up and watch this video

Step-by-step explanation:

The solution of `2x + y + z = 1 , x-2y-3z = 1 , 3x +2y +4z=5` is 1)1,2,3 2) 1,2,-3 3) 1.-3.2 4)...

Select the number that would make this statement true: 496 ÷ ________ = 49.6 (3 points)

Answers

Answer:

The answer to this question is 10

Write an explicit formula for the following sequence
14, 15, 16, 17, 18, ...

Answers

Answer:

x+1

Step-by-step explanation:

all sequences are added by one, so x+1

Two men are decorating a room. One has painted 20 m² and the
other only 6 m². They continue painting and manage to paint
another x m'each. If the first man has painted exactly three times
the area painted by the second man, find the value of x.

Answers

Answer:

Your answer is 120m4

Step-by-step explanation:

Answer:

22metre square.

Step-by-step explanation:

3×6=18

+ 6

=22

Solve the equation for all real solutions.
k^2+8k+22=6​

Answers

Answer:

Step-by-step explanation:

Here you go mate

step 1

k^2+8k+22=6​  equation

step 2

k2+8k+22(-6)=6(-6)  subtract -6

k2+8k+16=0

step 3

k2+8k+16=0  factor

(k+4)(k+4)=0

step 4

(k+4)(k+4)=0  set the numbers equal to zero

answer

k=-4

The measure of angle JLM is 140°. The measure of angle JKL is 75.

What is the measure of angle KJL

Enter your answer in the box.​

Answers

Answer:

KJL is 65 degrees

Step-by-step explanation:

If JLM is 140 deg. JLK is 40 deg  the two angles on transverse line must equal 180 total.

JKL being 75 degf, sum that with JLK of 40= 115 deg

180-115= 65 deg  Sum of interior angles on a triangle add up to 180 deg.

At least that is how I remember it, you can also graph it and check it out.

Answer:65

Step-by-step explanation:

taking the test rn


Please round your answer to the nearest tenth Please do NOT include the
units in your answer

9.3 cm
8.7
X

Answers

Answer:

1=9

2=9

so ye this is the answer

Help me pls, for number 19, I have absolutely no idea what I’m supposed to do.

Answers

All you have to do is take the value listed above for g(x) and set it equal to 16.

-3x+1=16.

Subtract 1 from both sides

-3x=15

divide both sides by -3

x=-5

HELP!!! First one to do all gets brainliest!!!!!!!!
My mom be after me fur not doing this assignment!

Answers

Answer:

C IS 100 F is 100 they usually give numbers to subtract but ion see it

¿cual es la relacion de los conceptos: razon de cambio y derivada?

Answers

Answer:

?? I don’t speak spanish

Step-by-step explanation:

Nancy's car travels 300 miles on 12 gallons of gas. How many gallons of gas will she need in order to drive 650 miles?

Answers

The answer should be 24 gallons and a half

PLEASEEEEEEE HELPPPP!

Answers

the answers number 2

Sarah says that 26 ÷ 8 equals 14 ÷ 4 because both are “3 R2.” Show her mistake using decimal division. What is 26 ÷ 8? Give your answer in decimals. 26 ÷ 8 =___. Please helpppppp

Answers

Answer: 3.25

Step-by-step explanation:

Sarah made a.mistaje when she was reducing 26 ÷ 8. It should be noted that 2 is a common factor to 26 and 8. Therefore 26÷2 = 13 and not 14 that Sarah wrote. Sarah should have written 13 ÷ 4 and not 14 ÷ 4.

26 ÷ 8 in decimal will give us 3.25

what is the expression value of 10?

1. (10 + 10) ÷ (5 - 3)

2. 10 + 10 ÷ (5 - 3)

3. (10 + 10) ÷ 5 - 3

4. (10 + 10 ÷ 5) - 3​

Answers

Answer:

The answer is number 1 because if you put it into a calculator correctly you'll get 10

Answer:

The number one answer is 1. It's all I could say for this one, and I know I have never gotten a one-star rating, because I have always won a 5-star rating, and not one single one-star rating.

Step-by-step explanation:

Look, the answer is 1.

i will give u Brainliset rn if u answer

Answers

Answer:

11x+16y = 13

16y = -11x+13

y = -11/16x+13/16

Step-by-step explanation:

Please help me with this one ​

Answers

Answer:

B

Step-by-step explanation:

A taxi driver can cover a distance of 130.16 miles per gallon per 5 gallons of gas if the same taxi driver travel 60 miles at the same miles per gallon the second day what would be the best estimate of number of gallons a taxi driver use

Answers

Answer:

[tex]Gallons = 2.305[/tex]

Step-by-step explanation:

Given

Rate = 130.16 miles for 5 gallons

Required

Number of gallons used for a journey of 60 miles

The rate in miles per gallon is calculated as:

[tex]Rate = \frac{Distance}{Gallons}[/tex]

When distance = 130.16 and gallons = 5, we have:

[tex]Rate = \frac{130.16}{5}[/tex]

[tex]Rate = 26.032[/tex]

When distance = 60 miles.

Substitute 60 for distance and 26.032 for rate in [tex]Rate = \frac{Distance}{Gallons}[/tex]

[tex]26.032 = \frac{60}{Gallons}[/tex]

Cross Multiply

[tex]Gallons * 26.032 = 60[/tex]

[tex]Gallons = \frac{60}{26.032}[/tex]

[tex]Gallons = 2.305[/tex] --- approximated

Which statement is not correct?
A. The terminal side of a 45° angle is in quadrant I.
B. A 95° angle is an acute angle.
C. A 210° angle is a reflex angle.
D. A 125° angle is an obtuse angle.

Answers

Answer:

b.) because it is over 90*

Step-by-step explanation:

i’ll mark brainlest

Answers

the next number would be 3,125 and each time you multiply by 5 so the next number after 3,125 would be 15,625

A lot of Chances for brainliest !!!!

Answers

Answer:

number five is 7 :)

Step-by-step explanation:

2
Solve for x. (must show your work for credit)"
(20 Points)
7x – 11
4x - 2
20
35

Answers

Answer:

x=9

Step-by-step explanation:

7x-11 = 4x-2

7x-4x=11-2

3x=9

x=9

Other Questions
Sasha has a 35% off coupon. Her total before tax came to $23.00. How much did the item originally cost? (round to the nearest hundreds) PLS help!! (middle school and pls show work) what is the slope of the graph? how is covalent bonding important to human beings? A deck of playing cards has 52 cards, of which 13 are diamonds. If you shuffle the deck well and turn over the top 4 cards, one after the other, what's the probability that all 4 are diamonds? 4.) Aaron bought a new belt for school that was 30% off the regular price of $60. What was the price of the belt?A.) $18.00B.) $42.00C.) $60.00D.) $78.00 Write the first three terms in the sequence given by the formula an = 8n + 4 I've been struggling on this problem for a while I would realize like some help ATTENTION: I WILL MARK BRAINLEIST I NEED HELP ASAP!!!!In what ways do you think that Mesopotamian achievements could have helped civilizations that come after them? please help , would be greatly appreciated ! PLEASE ANSWER! DOING A TEST! Tell whether the ordered pair (4, -2) is a solution to2x - y > -5y Could someone instill eloquence in you? Why or why not? What is the height of the flagpole?A. 18ftB. 676ftC. 324ftD. 24ft A store had 1,288 sodas, both diet and regular. The ratio of diet sodas to regular sodas was 10:4. How many diet sodas were there? Tameka works as a health educator. Her job is to go out to the community and teach classes on the benefits of proper nutrition and exercise programs. She uses teaching materials and lessons that are created by the government. Of all the skills that are important to a health literate person, which skill does she use MOST in her everyday activities at work?A.critical thinkingB.effective communicationC.problem solvingD.self-direction what is the percent of change from 4,000 to 7,000 ASAP The grocery store sells fish for $8.50 a pound and hamburger for $3.00 a pound. Write an equation instandard form for the weights of fish fand hamburger h that a customer could buy with $24. find median for the following terms is 72 76 64 80 68 61 85 91 62 82 What are two dangers associated withnuclear fission? I will give you brainlest plzzzz helppp!!!