The area of a rectangular wall of a barn is 12 square feet. Its length is 14 feet longer than the width. Find the length and width of the wall of the barn.

Answers

Answer 1

Answer:

w = 0.81 ft

l = 14.81 ft

Step-by-step explanation:

The equation of the area of a rectangle is given by:

[tex]A_{r}=l*w[/tex]

But we know that l=14+w and [tex]A_{r}=12 ft^{2}[/tex]

So we will have:

[tex]12=(14+w)*w=14w+w^{2}[/tex]

[tex]w^{2}+14w-12=0[/tex]  

Solving this quadratic equation we have:

w = 0.81 ft

We just take the positive solution

So, the length will be l = 14 + 0.81 = 14.81 ft

I hope it helps you!


Related Questions

Write the slope-intercept form of the given line. Include your work in your final answer

Answers

Answer:

y = -3/2x - 3

Step-by-step explanation:

Has a y-intercept of -3 and a slope of -3/2

Which inequality is true?
A.
* > 1
B. 97 > 27
C. - 31
D. TI + 7 <10

Answers

Answer:

b

Step-by-step explanation:

97 is greater than 27

please mark brainliest

Will give brainliest :)

The product of two factors is 2,000. If one factor is 40, the other factor is ?

Answers

the answer is 50????

The other Factor of 2,000 is 50.

What is a Factor?

A factor is a number that divides another number, leaving no remainder.

Given that, the product of two factors is 2,000, one factor is 40.

Let the other factor be x

According to question,

x*40 = 2,000

x = 2,000/40

x = 50

Hence, The other Factor of 2,000 is 50.

For more references on Factors, click;

https://brainly.com/question/24182713

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Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000 and is getting annual raises of $1,500. How many years, y, will it take for Jaylon and Anita to make the same amount of money?

Answers

Answer: It will take 7 years for Jaylon and Anita to make the same amount of money.

Step-by-step explanation:

Let y be the number of years.

Given: Jaylon makes $57,000 and is getting annual raises of $2,500.

Total money Jaylon will make in y years = 57000+2500y

Anita makes $64,000 and is getting annual raises of $1,500.

Total money Jaylon will make in y years =   64000+1500y

When both make same amount,

[tex]57000+2500y=  64000+1500y\\\\\Rightarrow 2500-1500y=64000-57000\\\\\Rightarrow\ 1000y=7000\\\\\Rightarrow\ y=7 [/tex]

hence, it will take 7 years for Jaylon and Anita to make the same amount of money

Use a vertical number line to think about how to represent the situation below. Then, answer the question.

A diver is 4 meters below sea level. What integer represents the location of the diver?

Answers

Answer:

it is negative four (-4)  

Step-by-step explanation:

Answer:

This answer is very late but to anyone else wondering its -4

Step-by-step explanation:

4 meters below sea level would make it into the - area of numbers

There are 24 boys and 16 girls on a playground. What is the ratio of boys to total number of children on the playground?Select all the equivalent ratios that represent this relationship. *


a. 24:40
b. 3:2
c. 6:10
d. 24:16
e. 3;5
f. 6:4

Answers

A, C, and E because when you add your girl plus boys you get 40 so boys to total students is 24:40 and when you divide both by 4 you get 6:10 and when you also divide them by 8 you get 3:5

Can you guys tell me what is 5/6 - 2/15=

Answers

Answer:

7/10

Step-by-step explanation:

Answer:

answer is 7/10 and as a decimal 0.7

Step-by-step explanation:

Mumbua had a packet of full sweets.She decided that each day she will eat half of what was in the packet.If she started eating the sweets on Monday,what fraction of all the sweets did she get on Thursday?​

Answers

Answer:

there wont be a fraction the sweets are gone

Step-by-step explanation:

she got fat

A map of Colorado says that the scale is 1 inch to 20 miles or 1 to 1,267,200.

Answers

Answer:

1 inch to 20 miles

Step-by-step explanation:

-10/3 improper fraction as a mixed number

Answers

-3 1/3


You see how many times you can put the bottom number into the top number that is your whole number then the top of the fraction is how much is left and the bottom you keep the denominator
-3 1/3
Because it’s a improper faction

PLZ HELPPPPPP!!!!!!! ASAP

Answers

Answer:

RT = 18

Step-by-step explanation:

RY = TY

2z - 1 = 4z - 11

-2z = -10

z = 5

RT = RY + TY

RT = 2z - 1 + 4z - 11

RT = 6z - 12

RT = 6(5) - 12

RT = 30 - 12

RT = 18

Pedro had 503 cars in his collection and he gave away 261. Anthony had 480 cars and he gave away 59 less than pedro now who has more cars in his collection? How many more

Answers

Answer:

Anthony has 36 more cars than Pedro.

Step-by-step explanation:

Total number of cars with Pedro = 503

Total cars given away by Pedro = 261

Total cars left with Pedro = 503 - 261 = 242

Total number of cars with Anthony = 480

Total cars given away by Anthony = 59 less than Pedro = 261 - 59 = 202

Total cars left with Anthony = 480 - 202 = 278

It is clearly noticeable that 278 > 242

OR

It can be said that, The number of cars left with Anthony are more than that of cars left with Pedro.

Number of cars more = Number of cars left with Anthony - Number of cars left with Pedro = 278 - 242 = 36

So, Anthony has 36 more cars than Pedro.

can someone please answer this for mee ?

Answers

40 gallons of water drain every 5 minutes :)

From 5 minutes to 10 minutes it drained 40 gallons and then drained 40 more gallons at 15 minutes

Answer: 40 gallons for every 5 minutes.

On a busy day, a vet thought the practice saw 28 cats. The actual number was 24 cats. What is the percent error between the vet's estimate and the actual amount? Round your answer to the nearest hundredths.

Answers

Answer:

16.67%

Step-by-step explanation:

A vet taught the practice saw 28 cats

The actual number was 24 cats

Therefore the percent value can be calculated as follows

= approximate value- exact value/exact value × 100

= 28-24/24 × 100

= 4/24 × 100

= 0.16666 × 100

= 16.666

= 16.67 % ( to the nearest hundredth)

Answer 1 and 2 please. I will mark brainliest

Answers

Answer:

let be no = A B C is distance of triangle A M N ( A+ B+ C) - (A + M + N) = area of triangle = ( base X height)( 2 + 4 + 6+) - ( 3+ 5+ 8+) let be added

PLS HELP ME THIS IS VERY IMPORTANT

Answers

45° because it is half of 90°

A gear is rotated 6.5 times. How many radians has it been rotated?

Answers

Answer:

6

Step-by-step explanation:

Help me determine the y-intercept of the line -3x+4y=-24​

Answers

Answer:

the y intercept is (0,-6) and the x is (8,0)

Step-by-step explanation:

Question 1: Ben is mixing red and yellow paint in order to get orange. To get the shade he wants, he mixed 1 8 quarts of red and 3 4 quarts of yellow. What is the unit rate of red paint to yellow paint? Explain how you found the unit rate. Question 2: Sarah rode her bike 1 2 2 miles in 1 6of an hour. What is her unit rate in miles per hour? Show your work and explain your answer.

Answers

Answer:

is 1 8 1.8?

Step-by-step explanation:

Answer:

dgdfh

Step-by-step explanation:

I need help I will give you Brainliest if it’s correct thank you

Answers

Answer:

13: 180 degree counterclockwise rotation.

14: Transkation and reflection.

Step-by-step explanation:

Xian and his cousin Kai both collect stamps. Xian has 56 stamps and Kai has 72. The boys recently joined different stamp collecting clubs. Xian's club will send him 12 stamps per month. Kai's club will send him 8 stamps per month. After how many moths will Xian and Kai have the same number of stamps? How many will each have?

Answers

Answer:

After how many moths will Xian and Kai have the same number of stamps?

4 months

How many will each have?

104 stamps

Step-by-step explanation:

Let the number of stamps that they collect be represented by x

Xian and his cousin Kai both collect stamps.

Xian has 56 stamps . Xian's club will send him 12 stamps per month.

= 56 + 12× x

= 56 + 12x

Kai has 72 stamps. Kai's club will send him 8 stamps per month.

= 72 + 8 × x

= 72 + 8x

After how many moths will Xian and Kai have the same number of stamps?

56 + 12x = 72 + 8x

Collect like terms

12x - 8x = 72 - 56

4x = 16

x = 16/4

x = 4

Therefore, after 4 months, Xian and Kai would have the same number of stamps.

How many will each have?

x = 4

56 + 12x = 72 + 8x

56 + 12 × 4 = 72 + 8 × 4

56 + 48 = 72 + 32

104 = 104

Each of them will have 104 stamps.

PLEASE HELP FAST.....WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
7. What is the distance between the points H(-5,9) and J(1,6)? Show your work.​

Answers

6^2+-3^2= square root of the distance. The left side simplified is 36+9 or 45, then you take the square root of 45, so the distance is square root of 45 units.

Answer:

[tex] \huge{ \boxed{ \bold{ \sf{3 \sqrt{5} \: units}}}} [/tex]

Step-by-step explanation:

[tex] \sf{let \: H( - 5, \: 9) \longrightarrow \:(x1 \:, y1)}[/tex]

[tex] \sf{J(1 \:, 6) \longrightarrow \: (x2 \: ,y2)}[/tex]

[tex] \underline {\sf{ \: Finding \: the \: distance}} : [/tex]

[tex] \boxed{ \sf{distance = \sqrt{ {(x1 - x2)}^{2} + {(y2 - y1)}^{2} } }}[/tex]

[tex] \sf{⇢ \: distance = \sqrt{ {( - 5 - 1)}^{2} + {(9 - 6)}^{2} } }[/tex]

[tex] \sf{⇢ \: distance \: = \sqrt{ {( - 6)}^{2} + {(3)}^{2} } }[/tex]

[tex] \sf{⇢ \: distance \: = \sqrt{36 + 9}} [/tex]

[tex] \sf{⇢ \: distance \: = \sqrt{45} }[/tex]

[tex] \sf{⇢ \: distance = 3 \sqrt{5} \: units}[/tex]

Hope I helped !

Best regards! :D

~TheAnimeGirl

Ame:_________________________ Period:________________________ Group:________________________ Provide a reason for each step in solving the equation shown below. 2x - 2 - 3x - 6 = 8 - 4x Original Equation 2x - 2 - 3x - 6 = 8 - 4x -1x - 8 = 8 - 4x -1x + 4x - 8 = 8 - 4x + 4x 3x - 8 = 8 3x - 8 + 8 = 8 + 8 3x = 16/3 x=5 1/3

Answers

Answer:

x = 5 1/3

Step-by-step explanation:

Given the equation

2x - 2 - 3x - 6 = 8 - 4x

We need to get the value of x.

Given

2x - 2 - 3x - 6 = 8 - 4x

Step 1: Collect the like terms

(2x-3x)-2-6 = 8-4x

-x-8 = 8-4x

Step 2: Add 4x to both sides of the equation:

-x-8 + 4x= 8-4x+4x

-x+4x -8 = 8

3x-8 = 8

Step 3: Add 8 to both sides of the equation:

3x-8+8 = 8+8

3x+0 = 16

3x = 16

Step 4: Divide both sides by 3

3x/3 = 16/3

x = 16/3

Step 5: convert the resulting improper fraction to mixed fraction:

x = 5 1/3

If 22 + 5 = 8x, then 12x =?​

Answers

Answer:

Well x=3.375

Step-by-step explanation:

That's all I got.... sorry......

Value of 12x is 10 because 2x +5=8x and u subtract 2x from both sides. 8x-2x and 2x+5-2x equals 5= 6x and then multiply both sides by 2

Simplify the expression: 9(7b+6)

Im stupid so-

Answers

Answer:

63b + 54

Step-by-step explanation:

Multiply The 9 by the 7 in the parenthesis, then, multiply the 9 by the 6 in the parenthesis.

Un-Simplified: 9(7b + 6)

Simplified: 63b + 54

Remember to include the "letter" in any equation that is like this, for it is a coefficient.

A cupcake recipe calls for 3/8tablespoons of salt and 1/4tablespoons of
vanilla. How many tablespoons of salt and vanilla are required?

Answers

Answer:

create common denominator

Step-by-step explanation:

1/4 can become 2/8 by multiplying the top and bottom number by 2 now you have a common denominator to add 2/8+3/8 = 5/8

Well I have decided that I am going to give up on brainly and focus on school more so here are my last words: I know life is gonna get hard and life will not be fair so keep your head up and Be Kind! Love you!

Answers

Ooooooffff good luck

Hi! I think it's great you're going to focus on what matters to you. Thank you for those kind words. I wish you the best of luck on your journey. I hope you have a great day/night. Love you, too! ❤️✨

you can contact me anytime on here or at sizzlyadri (at outlook //.com) it won't let me say it together) or on r0blox and pinterest at adriii_rose and i'll be sure to text you! Best wishes! :)

A shoppers discount club charges a monthly fee of $15 and sells gasoline for $3.55 per gallon. The gas station across the street sells gasoline for $3.85 per gallon in charge is no fee. How many gallons of gasoline would you have to buy in one month to spend the same amount at either store? Write an equation to model the situation. Then solve.

Answers

Answer:

a. 15 + 3.55x  = 3.85x b. 50 gallons

Step-by-step explanation:

a. Let x be the number of gallons of gasoline bought in the one month which makes the amount the same in either store.

The amount it costs to buy x gallons of gasoline in the shoppers discount club is 15 + 3.55x and the amount it costs to buy x gallons of gasoline in the gas station is 3.85x.

Since the amount is supposed to be the same after x gallons, we have that

15 + 3.55x  = 3.85x

b. Solving this equation for the gallons of gasoline, x we find that

15 + 3.55x  = 3.85x

collecting like terms, we have

15 = 3.85x - 3.55x

15 = 0.30x

x = 15/0.30

x = 50 gallons

So, they must buy 50 gallons of gasoline to spend the same amount in one month.

Find the midpoint of the segment with the given endpoints.
(1, -8) and (10,-3)

Answers

Answer:

(5.5, -5.5)

Step-by-step explanation:

Find the average of the x coordinates:

(1 + 10) / 2

11/2

= 5.5

Find the average of the y coordinates:

(-8 + -3) / 2

-11/2

= -5.5

These two averages will be the x and y coordinates of the midpoint:

So, the midpoint is (5.5, -5.5)

help please
7( 2x +4) = 49

Answers

Answer: 1.5

Step-by-step explanation: Distribute 7 to 2x and +4. 14x+28=49

Subtract 28 from both sides. 14x=21

Divide by 14 on both sides. X=1.5

Answer:

[tex]x=\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]7\left(2x+4\right)=49[/tex]

[tex]\frac{7\left(2x+4\right)}{7}=\frac{49}{7}[/tex]

[tex]2x+4=7[/tex]

[tex]2x+4-4=7-4[/tex]

[tex]2x=3[/tex]

[tex]\frac{2x}{2}=\frac{3}{2}[/tex]

[tex]x=\frac{3}{2}[/tex]

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