The area of a rectangular wall of a barn is 216 square feet. Its length is 6 feet longer than twice its width. Find the length and width of the wall of the barn

Answers

Answer 1

Answer:

Length is 24 feet and width is 9 feet.

Step-by-step explanation:

It is given that length of a rectangular wall is 6 feet longer than twice its width.

Let x feet be the width of wall.

Length = 2x+6 feet

Area of rectangle is

[tex]A=length \times width[/tex]

[tex]A=(2x+6)\times x[/tex]

[tex]A=2x^2+6x[/tex]

It is given that area of a rectangular wall of a barn is 216 square feet.

[tex]2x^2+6x=216[/tex]

[tex]x^2+3x=108[/tex]

[tex]x^2+3x-108=0[/tex]

Splitting the middle term, we get

[tex]x^2+12x-9x-108=0[/tex]

[tex]x(x+12)-9(x+12)=0[/tex]

[tex](x+12)(x-9)[/tex]

[tex]x=-12,9[/tex]

Width can not be negative. So width is 9 feet.

Length [tex]=2(9)+6=18+6=24\text{ feet}[/tex]

Therefore, length is 24 feet and width is 9 feet.


Related Questions

on 1
-4 is to the left of O so that means O is
than -4. Greater Less

Answers

Answer:

O is greater than -4

Step-by-step explanation:

Answer:

O is less than -4

0<-4

Step-by-step explanation:

4x + 3 = 15
Two Step equation

Answers

Answer:

x = 3

Step-by-step explanation:

4x+3=15

subtract

4x=12

divide

x=3

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]4x+3=15\\\\4x+3-3=15-3\\\\4x=12\\\\\frac{4x=12}{4}\\\\\boxed{x=3}[/tex]

Hope this helps.

write in standard form x2 + y = 2x -4​

Answers

Answer:

y = - x² + 2x - 4

Step-by-step explanation:

The equation of a parabola in standard form is

y = ax² + bx + c ( a ≠ 0 )

Given

x² + y = 2x - 4 ( subtract x² from both sides )

y = - x² + 2x - 4 ← in standard form

A cake recipe for 5 people requires 2 eggs.How many eggs do we need for a 15 person cake .

Answers

Answer:I have now idea how to do this I only nine

Step-by-step explanation: IDK

Answer:

6 eggs for a 15 person cake.

Step-by-step explanation:

The cake recipe for 5 people requires 2 eggs.

You are solving for the amount of eggs for 15 people.

Divide 15 with 5: 15/5 = 3

The prompt multiplied 3 to the people to get the required amount. Do the same with the eggs:

2 x 3 = 6

6 eggs is needed.

[tex]\frac{5 people}{2 eggs} * \frac{3}{3} = \frac{15 people}{ 6 eggs}[/tex]

4 1/2 minutes for 6 laps

Answers

Answer: 0.75 minutes per lap

Explanation:

Can someone help me with this? I have no clue whats going on-

Answers

Answer:

2909

Step-by-step explanation:

Answer:

So the answer for your question is Sarah is correct because square root 2 is irrational:)

Step-by-step explanation:

Rational numbers are numbers that can be expressed as a fraction or part of a whole number. (examples: -7, 2/3, 3.75) Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers.

√  means square root. Square root means a number which produces a specified quantity when multiplied by itself. SO for example 7 is a square root of 49...

Example of another irrational and rational number: 74 is rational. Irrational number would be  3.14:)

Hope this helped...yeah I wrote a lot of stuff, I hope you understand it;)

4.63 repeated in simplest form ( please reply quickly)

Answers

Answer:

4.63 as simplified fraction is

463/100

Step-by-step explanation:

4.63 as a fraction in simplest form

To convert 4.63 to fraction, follow these steps:

First write down the decimal number divided by 1 like this:

4.63/1

As we have 2 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 10² = 100, so that there is no decimal point in the numerator

4.63 × 100

   1 × 100

=

463/100

As the numerator is greater than the denominator, we have an improper fraction, so we can also express 4.63 as a mixed number, thus 463/100 is equal:

4 63/100

Find the LCM of 30, 45, 60 and 90.​

Answers

Answer:180

Step-by-step explanation:

cube root 343 ^-3/ root 4 81

Answers

Answer:

[tex]$\frac{1}{1029} $[/tex]

Step-by-step explanation:

[tex]$\frac{\sqrt[3]{343^{-3}}}{\sqrt[4]{81} } $[/tex]

[tex]$\boxed{\text{Property: } a^{-b}=\frac{1}{a^{b}}} $[/tex]

[tex]$\frac{\sqrt[3]{\frac{1}{343^{3}} }}{\sqrt[4]{81} } $[/tex]

[tex]$\frac{\frac{\sqrt[3]{1} }{\sqrt[3]{343^3} } }{\sqrt[4]{81} } $[/tex]

[tex]$\frac{\frac{1 }{343} }{3} $[/tex]

[tex]$\frac{342 \cdot \frac{1 }{343} }{343 \cdot 3} $[/tex]

[tex]$\frac{1}{1029} $[/tex]

which number produces an irrational answer when added to 3/4

Answers

Answer

pi.

Step-by-step explanation:

If you add pi (3.14) to 3/4, you will get an irrational answer.

can someone help me please T^T ill give Points! please, it needs to written top to bottom HELPPPPPPPPP

Answers

Answer:

6+36-4=38/2=19

Answer is 19 for number 1

Step-by-step explanation:

509 to nearest hundreds​

Answers

509 rounded to the nearest hundred would be 500

Answer:

509 rounded to the nearest hundred is:

500

Step-by-step explanation:

When rounding to the nearest hundred, like we did with 509 above, we use the following rules:

A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

Rounded to Nearest Hundred

Enter another number below to round it to the nearest hundred.

What is 510 rounded to the nearest hundred?

Now you know what 509 rounded to the nearest hundred is. Go here for the next number we rounded.

 

The area of a rectangular wall of a barn is 252 square feet. Its length is 10 feet longer than twice its width. Find the length and width of the wall of the barn.

Answers

Answer: Length = 28 feet and width = 9 feet

Step-by-step explanation:

Let x = width of the wall.

Then, Length of the wall =  10+2x

Since , Area of rectangle = length x width

Then, as per given,

[tex]252= (10+2x)x\\\\\Rightarrow\ 252=10x+2x^2\\\\\Rightarrow\ 2x^2+10x-252=0\\\\\Rightarrow\ x^2+5x-126=0\\\\\Rightarrow\ x^2+14x-9x-126=0\\\\\Rightarrow\ (x+14)-9(x+14)=0\\\\\Rightarrow\ (x+14)(x-9)=0\\\\\Rightarrow\ x=-14 \ or \ x= 9[/tex]

Since width cannot be negative , so x = 9

So width = 9 feet and length = 10+2(9)=10+18 = 28 feet

Hence, length is 28 feet and width is 9 feet of the wall of the barn.

A) 75YARDS B) 85 YARDS C)80 YARDS D) 90 YARDS

Answers

Answer:

________________

I think it's 85 yards

Which of the following expressions represents the distance between 3/4 and 2?

Answers

Answer:

It's A :)hope this helped.

Step-by-step explanation:

Answer:

A

Step-by-step explanation: Khan Academy


PLEASE HELP ME! I have de done this 10+ times

Determine intersections and unions of sets using interval notation

Given the sets A and B in interval notation,
A = (-∞, 2) U (2, + ∞) and
B= (-∞, - 1) U (-1, + ∞)

find A n B =

Answers

Answer:

Shown in the picture

True or False? Whole Numbers (W) are a subset of Integers (Z)
O True
False

Answers

Answer:

true

Step-by-step explanation:

bc the integer equals to the subset

What is the perimeter of the rectangle

Answers

Answer:

probably the first one 4x+6

Answer

4x square + 3

Step-by-step explanation:

Perimeter of a Rectangle = 2(l * b)

= 2*(2x+3 * x)

=2*(2x*x+3)

=2*(2x squared * + 3)

2*2x squared + 3

=4x square + 3

Please help! (Will give brainliest answer and hearts) Thank you and have a nice day!

Answers

Point W since the X is 2 and the Y is 5.5

Answer:

W

Step-by-step explanation:

so you go to the right 2 times then you go down 5 and a half times (where the negative numbers are) and then you get the answer here is a picture so you can understand a little better, I hope this helps you :)

i need an answer and explaination​

Answers

The answer for the question is 97
The answer is 96 because angel m

(-(-17) what is the answer simplify the expression

Answers

Answer:

17

Step-by-step explanation:

Whenever you are multiplying 2 negative numbers together, the answer is always positive. In this case, you are multiplying -1 and -17 together, so your answer is going to be 17.

The links are of a wheelchair ramp is 13 more than 15 times its width W which equation represents the relationship between the length and width of the ramp

Answers

Answer:

7

Step-by-step explanation:

sqrt(x+7) -1=x


yo what

Answers

Hi

[tex]\sqrt{(x+7)[/tex]   -1 = X

Let's square the whole thing  

so we have :    x+7 +1 = x²

                         x² +x+7 +1 = 0

                         x²+x+8 = 0

       

no easy way to see a common factor so, let 's resolve by using discriminate.  

Δ = 1-4*1*8

Δ = 1 -32

Δ = -31

as Δ  ≤ 0 , there is no Real answer to your equation  

however , if you need we can find imaginary solutions. Just ask in commentaries

Answer:

its 2

Step-by-step explanation:

a necklace priced at $580 is sold for $464. find the percentage discount

Answers

$580 = 100%

$1 = 100% ÷ 580

$464 = (100% ÷ 580) × 464

= 80%

Therefore,

percentage discount = 100% - 80%

= 20%

i hope my solution helps :))

Simplify 6uw^-3 x 4uw^6

Answers

Answer: (2^3 ⋅3u^2 w^3)


2•3uw^(-3)) • 4) • u) • w^6

2^1 multiplied by 2^2 = 2^(1 + 2) = 2^3

(2^3•3uw^(-3)) • u) • w^6
w^(-3) multiplied by w^6 = w^((-3) + 6) = w^3

9. If LK MK, LK = 7x - 10, KN = x + 3, MN = 9x - 11, and KJ = 28, find LJ.

Answers

Answer:

[tex] LJ = 46 [/tex]

Step-by-step explanation:

Given:

[tex] LK = MK [/tex]

[tex] LK = 7x - 10 [/tex]

[tex] KN = x + 3 [/tex]

[tex] MN = 9x - 11 [/tex]

[tex] KJ = 28 [/tex]

Required:

LJ

Solution:

Step 1: create an equation to find the value of x

Since we are given that LK = MK, and LK = 7x - 10, let's find the expression for MK to get an equation.

[tex] MK + KN = MN [/tex] (segment addition postulate)

[tex] MK = MN - KN [/tex] (Subtract KN from each side)

[tex] MK = (9x - 11) - (x + 3) [/tex] (subtitution)

[tex] MK = 9x - 11 - x - 3 [/tex]

[tex] MK = 9x - x - 11 - 3 [/tex]

[tex] MK = 8x - 14 [/tex]

LK = MK, therefore,

[tex] 7x - 10 = 8x - 14 [/tex]

Subtract 8x from each side

[tex] 7x - 10 - 8x = 8x - 14 - 8x [/tex]

[tex] -x - 10 = -14 [/tex]

Add 10 to both sides of the equation

[tex] -x - 10 + 10 = -14 + 10 [/tex]

[tex] -x = -4 [/tex]

Divide both sides by -1

[tex] x = 4 [/tex]

Step 2: Find LJ

[tex] LJ = LK + KJ [/tex] (segment addition postulate)

[tex] LJ = (7x - 10) + (28) [/tex]

Plug in the value of x

[tex] LJ = 7(4) - 10 + 28 [/tex]

[tex] LJ = 28 - 10 + 28 [/tex]

[tex] LJ = 46 [/tex]

Evaluate the expression:

(1/3)⁴ = ?​

Answers

Answer:

1/81

Step-by-step explanation:

First, square 1/3 that gets you, 1/9, multiply by 3 again to get 1/27, again to get 1/81

Simplify the expression: 1–7v+7v+9–2

Answers

Answer: 8

Step-by-step explanation:

Which property should be used next in this solution process? 3x+2+3=7(x-1)-4. 3x+5=7(x-1)-4

Answers

Distributive property

1. The surface area of a cylinder is T=2rtrh+2tr2, where T is the surface area, andr
is the radius of the base. A penny is a cylinder with a diameter of 19.05 millimeters
and a thickness of 1.55 millimeters. Ignoring the raised design, what is the surface
area of a penny?
Pls help

Answers

Answer:

the surface  area of a penny = 662.81 mm²

Step-by-step explanation:

given:

A penny is a cylinder with a diameter of 19.05 millimeters

and a thickness of 1.55 millimeters.

find:

what is the surface  area of a penny?

surface area of a cylinder formula:

As = 2 π r h + 2 π r²

let r = 19.05 / 2

r = 9.53 mm

let h = 1.55mm

plugin values into the formula:

As = 2 π (9.53) 1.55    +    2 π (9.53)²

As = 92.76 +  570.05

As = 662.81 mm²

therefore,

the surface  area of a penny = 662.81 mm²

Answer:

the surface  area of a penny = 662.81 mm²

Step-by-step explanation:

got this correct in exam

Other Questions
Why is diversity important in science? please help me :( my mom is she doing my work tomorrow Antoni drives a taxi 4 fixed cost+ 60p per mile How much does he charge for 12 miles Scientific questions have certain qualities in common. Choose the descriptions that apply to all scientific questions.Check all that apply.They may generate a testable hypothesis.They must be very complicated.They are formed only by scientists with proper training.They have a narrow focus.They address a gap in knowledge. I need help can someone help please What does -3mnp equal? I need a Paragraph on these topics...Please reply... Why is most of the conversation at the beginning of "The Story-Teller" focused on sheep and cows? Find r, s, and t and then explain how you got your answer using at least twovocabulary words (adjacent, complementary, supplementary, vertical). Rosita's Restaurante has sales of $4,500, total debt of $1,300, total equity of $2,400, and a profit margin of 5 percent. What is the return on assets? Check Concepts4.35. Which of the following do you calculatewhenyoudivide the total distance trav-eled by the total travel time?A) average speedB) constant speedC) variable speedD) instantaneous speed what are fossil fuels? What do you learn in business writing class? Which sentence uses the word affluent correctly? The affluent house was boarded up and decaying. Affluent people struggle with day-to-day expenses. His careless attitude made the once affluent man a beggar. The show displayed affluent trinkets and jewelry. The ____________ registers the signal coming from the receptor and formulates a response. The right to petition the government was first granted to British subjects (people) in which political document? help also need work shown lol which contemporary jazz artist was one of the first to use a synthesizer in their recordings Why did Emperor Leo 111 ban the use of icons? How would I say "When I grow up I want to be a firefighter. This is because I have grown up with one in the house. We love to sit and talk about it at night. What really made me want to be a firefighter was learning about 9/11 in school. Hopefully I can be a firefighter." in spanish.