A horse farm is developing a new indoor arena in a rectangular buliding. They want the width of the building to be 3 wide feet and the length to be 4y+8 feet. Write an expression in the simplist form to represent the are a of the building in terms of y.

Answers

Answer 1

Answer:

The area of the building in terms of y in its simplest form is 12(y + 2)

Step-by-step explanation:

Since the area of a rectangle is A = LW where L = length and W = width. From our question, the width of the rectangular building is 3 feet. So, W = 3 feet and its length is 4y + 8  feet. So, L = 4y + 8 feet.

So, the area of the building in terms of y is A = LW

= (4y + 8) × 3

Factorizing out 4 from the expression, we have

= 4(y + 2) × 3

= 12(y + 2)

So, the area of the building in terms of y in its simplest form is 12(y + 2)


Related Questions

A balloon that has a volume of 72 cubic centimeters is deflating at a rate of 4 cubic cm every 5 seconds. At this rate, how long will it take for all 72 cubic cm to deflate?

Answers

Answer: 90 seconds or 1 min. and 30 sec.

Step-by-step explanation:

72/4=18

18x5=90

Is -4(5x)=12 true false or open

Answers

Answer:

False because its -4 if it

PLEASE HELP!! BONUS POINTS!! WILL CHOOSE BRAINLIEST!!!
(The instructions say: Write a linear equation to represent the line shown on the graph)
THANK YOU!!

Answers

Answer:

y = - 1/2x + 5

Step-by-step explanation:

We can see point on the graph:

(0, 5) and (4, 3)

Slope-intercept form:

y = mx + b

First finding the slope using slope formula:

m = (y2-y1)/(x2-x1) = (3 - 5)/(4-0) = -2/4 = -1/2y -intercept is 5 as per the first point

The line is:

y = - 1/2x + 5

Answer:

9,8

Step-by-step explanation:

x=9, y=8

Hope that helps!

f(x) = -x +2
g(x) = 4.0 – 8

Answers

1) x=1

2) x=-4

hope that helped

fine the y-intercept of the line on the graph.​

Answers

Where is the picture of the graph?

Where are the 4th roots of 16i located?

a) on a circle with radius 1.7
b) on a circle with radius 2
c) on a circle with radius 2.5
d) on a circle with radius 4

Answers

Answer:

B) on a circle with radius 2

Step-by-step explanation:

got it right on edge :)

The 4th roots of 16i is located b) on a circle with radius 2

How to determine the location of the fourth root?

The complex number is given as:

Number = 16i

Take the fourth root

[tex]Root = \sqrt{16i[/tex]

Take the fourth root of 16

[tex]Root = 2\sqrt{i[/tex]

The number before the radicand represents the circle radius

Hence, the 4th roots of 16i is located b) on a circle with radius 2

Read more about complex numbers at:

https://brainly.com/question/10662770

#SPJ6

Two metal spheres having volume 50 cm cube and 60 cm cube are melted together to form a new sphere .What is the volume of the new Sphere so formed?​

Answers

Answer:

[tex]110cm^{3}[/tex]

Step-by-step explanation:

[tex]50cm^{3} + 60cm^{3} = 110cm^{3}[/tex]

The volume of an object stays the same no matter how you shape it, so the volume of the new sphere is the sum of the volume of the two metal spheres assuming that nothing is lost during the process of creating the new sphere.

The following chart shows the number of concert tickets sold and the profit earned. What is the slope of the line through these points?
a. -1/4
b. -1/2
c. 4
d. 2

Answers

Answer:

C.) 4

Step-by-step explanation:

y2 - y1/x2 - x1

m = 160 - 80/60 - 40

m = 80/20

m = 8/2

m = 4/1

m = 4

Answer:

4

Step-by-step explanation:

What is the area of the triangle?
6 ft.
3 ft.

Answers

Answer:

9ft

Step-by-step explanation:

You multiply 6 and 3 then you divided by 2

Hope it helps

Will give brainiest answer if you are correct​

Answers

Answer:

Well you can either straight up subtract from the total degrees of a triangle using the sum of both of the given angles, which would equal x, or you can make an equation. I’ll do both.

180-78-51=51, x=51

78+51+x=180

129+x=180
x=180-129
x=51

A recipe says to use 4 cups of flour to make 56 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used,x?

Answers

set up a proportionality and simplify the fraction...hope this helps :)

A quadratic equation that has X-intercepts of (-2,0) and (8,0), a stretch of 3, and the vertex is a minimum.
a. Factored form equation:
b. Vertex form equation:
c. Standard form equation:

Answers

Answer:

a. y = 3 × (x + 2)(x - 8)

b.  y = 3·(x - 3)² - 75

c) y =  3·x² - 18·x - 48

Step-by-step explanation:

The x-intercept of the quadratic equation are (-2, 0), (8, 0)

The stretch of the quadratic equation = 3

We have;

a. The factored form y = 3 × (x + 2)(x - 8)

b. From the vertex form, we have;

y = 3 × (x + 2)(x - 8) = 3·x² - 18·x - 48

y = 3·x² - 18·x - 48

The vertex form a(x - h)² + k

Where;

h = -b/(2·a) = 18/6 = 3

h = 3

k = c - b²/(4·a) = -48 - (18²)/12 = -75

The vertex form 3·(x - 3)² - 75

c) The standard form of the quadratic equation, y = a·x² + b·x + c

The standard form of the quadratic equation is y =  3·x² - 18·x - 48.

Give me the answer for this

Answers

Answer:

>

Step-by-step explanation:

because 16 is greater than 12

PLEASSSSSSSSSSSSSSSSSSSSSSSSSSeeee help 10+ points for you

Answers

Answer:

f < -2

Step-by-step explanation:

f+ 4 < 2

 -4.   -4

f < -2

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

the second

Step-by-step explanation:

74ft
24ft
b
What is the length of the missing leg?

Answers

Answer: 70

Step-by-step explanation:

a^2 + b^2 = c^2

24^2 + b^2 = 74^2

576 + b^2 = 5,476

-576             -576

b^2             =4,900

(square root)

b                 =70

-3/7 + 1/7 please help me i am on a text and i need help

Answers

Answer:

-3/7 + 1/7 equals - 2/7

Step-by-step explanation:

Think of it this way: 3/7- 1/7, then add the negative

Hopefully this helps you!

Answer:

-2 / 7 . Crown?

Step-by-step explanation:

1 / 7  + ( -3 ) / 7 = -2 / 7

Because the positive number is bigger than the negative number on a number line.

Negative numbers are on the left of a number line

Positive numbers are on the right of a number line

If you draw a number line you would go backwards 1 then -3, would become -2 because -2 is greater than -3

Hope this helps.

CAN I also get the crown from your other question and on here too?

posting again since no one would help me :,) PLEASEEEEE I'M STUPID AND NEED HELPPPPPP (plus i'm lazy smh) FREAKING 40 POINTS COME GET IT

Answers

Answer:

ill try to help you

Step-by-step explanation:

1. y=3x+1

2. y= -1.5x+3

3. y=0.5x-3

4. y= 3x

hope this helps

take care

m=-3; (1,4) write in slope intercept form

Answers

Answer:

y = -3x + 7

Step-by-step explanation:

4= -3(1) +0 I’m pretty sure b would be zero because that’s just the y intercept so

Solve for x: 81^ x-4=9^3x

Show all work for brainliest

Answers

Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.x≈−0.00413995,1.6090059

Step-by-step explanation:

Answer:

X=-8

Step-by-step explanation:

81^(x-4)=9^3x

(9^2)^(x-4)=9^3x

9^(2x-8)=9^3x

Same base socompare both sides

So 2x-8=3x

2x-3x=8

-x=8

X=-8

So the value of X is -8

Is the point (3,-4) solution to the inequality

Answers

Answer:

yes it is, because it is plotted in the shaded area

Find the surface area of the pyramid

Answers

Answer:

47.97

Step-by-step explanation:

l Base length  

4

w Base width  

4

h Pyramid height  

3.46

Ill give u brainlist help me solve this

Answers

Answer:

false

Step-by-step explanation:

Order the numbers from least to greatest.−34, 0.5, 2/3,−73, 1.2, the 2/3 one is supposed to be 2 thirds and the negative 73 is supposed to be - 7 thirds, and the -34 is supposed to be - 3 fourths

Answers

Answer:

????hold on I brb let me think right quick

Answer:

-7/3 , -3/4 , 0.5 , 2/3, 1.2 this is the answer according to me

Elsa, Sven, Ana, and Olaf are sharing a bowl with 50 kit-kat bars in it. Elsa took 0.14 of the bars for her family. Sven took 4 bars for himself. Ana took 24% of the total bars for her friends. Olaf took the bars that were left. Who took the most bars? 5 points)
a Elsa
b Sven
c Ana
d Olaf

Answers

Answer:

C

Step-by-step explanation:

A tennis ball was hit into the air. The height of the tennis ball in feet (h) with respect to how far the ball traveled horizontally in feet (d) can be modeled by the quadratic function,

h = -d2 + 8d+4.

Enter the maximum height, in feet, of the tennis ball.

feet

Answers

Answer:

20m

Step-by-step explanation:

Given the height reached by the ball modelled by the equation

h = -d² + 8d+4.

The velocity of the balk at its maximum height is 0. Hence

v = dh/dd = 0

v = -2d + 8

0 = -2d+8

2d =8

d =8/2

d = 4

Substitute d = 4 into the equation to get the maximum height reached

h = -(4)² + 8(4)+4

h =-16+32+4

h = -16+36

h = 20

Hence the maximum height reached by the ball is 20m

Write the equation in slope-intercept form y−6=−2/5(x−10)

Answers

Answer: y = -2/5x + 10

Step-by-step explanation:

y − 6 = − 2/5 (x − 10)

do distributive property

y - 6 = -2/5x + 4

add six to both sides

y = -2/5x + 10

boom the answer :v

The perimeter of a rectangle is the sum of all four sides. Which expressions will find the perimeter of a rectangle with a length of 4 and a width of a?

4 + a + 4 + a

4 + 2a

8 + 2a

8 + a

Answers

Answer:

8+2a

Step-by-step explanation:

Answer:

8+2a, 4+a+4+a

Step-by-step explanation:

In a class of 50 students, 40% are girls. Find the number of girls and number of girls in the class.​

Answers

50 * 0.40 = 20 girls in class
50-20 = 30 boys in class

Answer:

20 girls.

Step-by-step explanation:

40% * 50

= 20

Hope this helped!

can anyone help with math thanks

Answers

Answer:

Step-by-step explanation:

50 - 5 - 18 = 27

27 ÷ 3 = 9

x = 9

1. Show your work to simplify the expression 0.5(8a +6b) a + 4b​

Answers

Answer:

Using distribute property

0.5(8a)(a) + 0.5(6b)(a) + 4b

4a^2 + 3ab + 4b

Step-by-step explanation:

Answer:

4a+3ab +4b

Step-by-step explanation:

0.5(8a+6b) a +4b

4a +3b*a +4b

4a+3ab +4b

Other Questions
hey help me pls:^brainlisht Five friends want to share 1,000comic books equally. Can you use mental math to find how manycomic books each friend will get? This is the graph of Bob's riding his bicycle on Sunday. He started in the morning and after biking for sometime he stopped at McDonald to eat breakfast. How long he stayed at McDonald? Pls write a summary about how John Muir and Teddy Roosevelt helped the earth . Which of the following is NOT an assertion made in the article, We Are Hopelessly Hooked?Using digital communication as a buffer in romantic relationships is strengthening partnerships.Because they have not learned how to be solitary or how to control emotions, young people are losing their ability to empathize.The rate at which smartphones became ubiquitous was unprecedented.Family relationships are evolving as a result of new digital modes. What have you learned about immagration?2 PARAGRAPHS PLZ HELP what is the answer will be What idea from these documents influenced the development of government in the American colonies? A business recently upgraded a conference TV they had in their conference room. Originally the TV was 32 inches (across the diagonal) and had a perimeter of 87.16 inches. The new TV is 70 inches across the diagonal. Since the new TV will be recessed in the wall, it will need trim put on the border. What is the perimeter of the new TV? Round your answer to two decimal places. x+4 over negative 5 =3 15.5 divided by 33.17 chemical equation should be balance why solvea- 7-2 = 4x-5b- Simplify 3x(x+6)-3x(6-3x) Describe the significance of the Qin Dynasty in Chinese history - you must identify and explain at least THREE distinguishing features and/or accomplishments of the dynasty. Someone plz help- its due at midnight!! PLEASE HELP! MY BIG SISTER DOES NOT WANT TO HELP ME! AND MY MOM AND DAD IS AT WORK! :( I miss them please help me this HELPPPPPP! What were the main causes of WW1? Bill purchased x hotdogs and y hamburgers at a baseball game. He spent a total of $10. A hotdog costs 3 dollars and a hamburger costs 4 dollars. Write a linear equation to represent the situation. How many hot dogs and hamburgers did Bill buy? What is the slope of the line?answer Please solve this, 50 points and BRAINLIEST-46/7-5/3 Factor completely a^2 7a + 10