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

Solve 3/5k-5=7/10k by eliminating the fraction. Explain how you determine what to multiply each term by and all the steps to solving the equation.

Answers

9514 1404 393

Answer:

  k = -50

Step-by-step explanation:

The fraction denominators are 5 and 10. The least common multiple of those values is 10. This means we can eliminate fractions by multiplying both sides of the equation by 10:

  6k -50 = 7k

Subtracting 6k from both sides of the equation leaves you with the solution:

  -50 = k

What is the slope of the line through (0,5) and (-2,-1)?

Answers

Answer:

c

Step-by-step explanation:

the slope is 3

Your answer is C

Rise over run. You rise 3 points to get to the other, and run over one. Hope this helps.

In triangleABC, a = 1.4 cm, b = 1.5 cm and c=1.5 cm. Find the measure of angleA to the nearest 10th of a degree.​

Answers

Answer:55.6

Step-by-step explanation:

Answer:

55.6

Step-by-step explanation:

Two rectangular boxes have the same volume. One box is a cube, and the other box has dimensions 8 ft by 4 ft by 16 ft. How many feet long is an edge of the cube?

Answers

Answer:

8 feet

Step-by-step explanation:

All you have to do is find the area of one box and find the root to find the cube edge, as it says they have the same volume.

Lets find the volume of the rectangular box.

8 x 4 x 16 =

32 x 16 =

512.

The volume of the cube is 512 feet cubed, but you are looking for the edge.

The edge cubed should be equal to 512 feet cubed.

So 512 cube root is 8, because 8 x 8 x 8 is 512.

8 feet.

Hope this helps!

Answer:

The answer to your question is 2744 ft³

Step-by-step explanation:

Data

length = 14 ft

width = 14 ft

height = 14 ft

- Volume of a Cube

Volume = length x width x height

-Substitution

Volume = 14 x 14 x 14

-Simplification

Volume = 2744 ft³

Conclusion

The volume of this cube is 2744 ft³

A pre-image arrow pointing east is rotated 135° clockwise. In which direction is the image arrow pointing?

Answers

Answer:

Southwest.

Step-by-step explanation:

East clockwise 90 degrees is South

South clockwise 45 degrees is Southwest

PLS GIVE BRAINLIEST

Think about it.

Starting on the x-axis at 0° we move in a CLOCKWISE direction and stop in quadrant 3 at 135°.

We travel in the SOUTHWESTERN direction.

List some of the valid reasons that can be used in a proof:

Answers

Answer:

Experiment results, and more results!

They help a LOT!

Step-by-step explanation:

Experiment results and risks

1/2(x+2)=5(x+2) solve the following completely

Answers

Answer:

X is equalled to '' - 2''

Step-by-step explanation:

If you need an explanation, leave a comment ;) As my hand writing is very messy. I'll write it here if you want.

Cheers! :)

Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?

Answers

3/4 of an hour = 45 minutes
45 * 3 = 135 minutes
135 + 45 = 180 minutes
He spends 180 minutes or 3 hours
Question

Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?

Answer:

3 hours (or 180 minutes)

Step-by-step explanation:

3/4 of an hour = 45 minutes

45 minutes × 3 = 135 minutes or 2 hours and 25 minutes

2 hours and 25 minutes + 45 minutes = 3 hours (180 minutes)

what is 3x^2+4-6x^2-18x+15=

Answers

Hope this helps please lmk if I was right or wrong

determine the linear factors 18x^3-34x^2+16x

Answers

Answer:

good luck tho oh and dont forget to tell me the answer

Step-by-step explanation:

Answer:

2x(9x - 8)(x - 1)

Step-by-step explanation:

Simplify 45 / 3 + 2 * 8 - 12 + 42

Answers

Answer:

61

Step-by-step explanation:

It’s 61 just do the calculation that’s what I did I hope this helped

triangle ABC ~ triangle XYZ , where AB = 18 cm, BC = 30 cm , and CA = 42 cm . The longest side of triangle XYZ is 25.2 cm. What is the perimeter of triangle XYZ ?

Answers

Answer:

The perimeter of triangle XYZ is 54 cm

Step-by-step explanation:

In similar triangles, their corresponding sides are proportional, which means the ratios of the corresponding sides are equalTheir perimeters have the same ratio as their corresponding sides, which means P1 = r × P2, where r is the ratio of similarityTheir areas have the square of the ratio as their corresponding sides, which means A1 = r² × A2

Δ ABC is similar to Δ XYZ

∵ The longest side in Δ XYZ is 25.2 cm

→ That means its corresponding side in Δ ABC is the longest side

∵ AB = 18 cm, BC = 30 cm, CA = 42 cm

∴ The longest side in Δ ABC is CA

∴ CA is the corresponding side of the side of length 25.2 cm

The ratio of similarity = [tex]\frac{25.2}{42}[/tex] = 0.6 ⇒ (r)

∵ The perimeter of Δ ABC = AB + BC + CA

∴ The perimeter of Δ ABC = 18 + 30 + 42

∴ The perimeter of Δ ABC = 90 cm

→ Use the 2nd fact above

∵ P of Δ XYZ = r × P of Δ ABC

r = 0.6 and P of Δ ABC = 90

∴ The perimeter of Δ XYZ = 0.6 × 90

The perimeter of Δ XYZ = 54 cm

What expression represents the decimal 72.603

Answers

Answer: 7 x 10 + 2 x 1 + 6 x 1/10+ 3 x 1/1000

Step-by-step explanation: just had this question on the test

Marking brainlesssss!!

Answers

Answer:

I think the answer is C. 6.75

Answer:

6.75

Step-by-step explanation:


On a map, 1 inch represents 100 feet. How many inches would
represent 350 feet? (Hint: answer will be a decimal) *

Answers

Answer:

3.5

Step-by-step explanation:

 3.5 inches would represent 350 feet.

Inches and feet

Relationship between inches and feet is that one inch is equal to [tex]\boldsymbol{100}[/tex] feets as per the map.

So,[tex]350[/tex] feet represent [tex]\frac{350}{100}=3.5[/tex] inches.

Therefore, [tex]\boldsymbol{3.5}[/tex] inches would represent [tex]350[/tex] feet in decimal.

Find out more information about inches here:

https://brainly.com/question/9300770?referrer=searchResults

Pressure is force divided by area calculate the force when the pressure is 18N/m^2

Answers

Answer:

hi

Step-by-step explanation:

1+1=2

What is the difference between a histogram and a bar graph?
a A histogram presents information in horizontal bars, while a bar graph presents information in
vertical bars
b. A histogram deals with data which displays a normal distribution, while a bar graph deals with
data in any distribution
c. There is no difference. The two terms are synonymous.
d. A histogram deals with continuous data in ordered columns, while a bar graph deals with
discrete data in separate columns

Answers

Answer:

d.

A histogram deals with continuous data in ordered columns, while a bar graph deals with discrete data in separate columns.

Step-by-step explanation:

Which is the value for 54 . 3 ÷ 10 0 54.3÷100? A. 0.543 B. 5.43 C. 54.3 D. 543

Answers

Answer: The answer is acually 54.3

Step-by-step explanation: cause I did it

A 150-foot fence encloses a garden.What is the length of each side of the garden.

Answers

Answer:

15 ft 45 ft 30 ft 60 ft

Step-by-step explanation:

If g (x) = 3x – 2, find g (8) – g(-5)

Answers

Answer:

I hope this helps you with your question

can you please help me with this problem 2x + y = -9

Answers

Answer:

x = -9/2 - 1/2y

Step-by-step explanation:

2x + y = -9

2x = -9 - y

x = -9/2 - 1/2y

Find the percent of decrease from 27 to 18.
PLEASE HELP

Answers

-33.33333333333333 %A change from 27 to 18 represents a negative change (decrease) of -33.33333333333333%

Use the formula found below on this webpage to find the percent changeby replacing the given values:Percent change = New - Old|Old|  100%Percent change = 18 - 27|27|  x 100 = -927  x 100 = -33.33333333333333decrease)

Where: 27 is the old value and 18 is the new value. In this case we have a negative change (decrease) of -33.33333333333333 percent because the new value is smaller than the old value.

The Answer is: -33.33333333333333% or 33.3

Will mark brainliest! Please help me! Ty!

Answers

Answer:

2.21

Step-by-step explanation:

2.96-0.75

Hope this helps.

What is the y-intercept of y = 4x?

Answers

Answer:

It depends on what x is

Step-by-step explanation:

I cant help

Answer:

0

Step-by-step explanation:

well if its just 4, then that means it doesnt have a y value

En la casa de la familia de Trevor viven 6 personas (incluyendo a Trevor) y hay 3 baños. En el último mes, cada
persona se bañó durante un promedio de 480 minutos y utilizó un promedio de 72 litros de agua al bañarse
(en todo el mes). El agua cuesta 0.20 dólares por litro.
¿Cuánto dinero gastó la familia de Trevor en total en agua al bañarse el mes pasado?
dólares.

Answers

Answer:

La familia de Trevor gastó 86.4 dólares al bañarse en todo el mes.

                                                       

Step-by-step explanation:

El costo del agua viene dado por:

[tex] C = \$0.20/L [/tex]   (1)

Y cada persona de la familia de Trevor gasto en promedio 72 litros de agua. Si la familia tiene 6 integrantes (incluido Trevor) entonces:

[tex] A = 72 L*6 = 432 L [/tex]    (2)

Entonces, toda la familia usó 432 litros de agua en promedio en todo el mes.

Para saber el dinero total gastado por la familia debemos multiplicar la ecuación (1) y la ecuacion (2):

[tex] C = \$0.20/L*432 L = \$86.4 [/tex]

Por lo tanto, la familia de Trevor gastó 86.4 dólares al bañarse en todo el mes.

Espero que te sea de utilidad!                                    

Usando proporciones, hay que la familia de Trevor gastó 86.4 dólares en total en agua al bañarse el mes pasado.

En la casa, hay 6 personas.Cada persona utilizó un promedio de 72 litros de agua.

Por eso, en todo, 6 x 72 = 432 litros de agua fueron usados.

Cada litro cuesta $0.2. De esa forma, el total de dinero gasto es de:

T = 0.2 x 432 = 86.4.

La familia de Trevor gastó 86.4 dólares en total en agua al bañarse el mes pasado.

Un problema similar es dado en https://brainly.com/question/20453191

Please tell me the answer

Answers

Answer:

(-∞,∞) Bottom answer

I hope this helps you with your algebra

Answer:

Infinity

Step-by-step explanation:

Give brainiest to the other guy/girl they deserve it!!

(Hope dis helps!!!)

what5 is 12.4 x -1.35

Answers

Answer: -16.74

Step-by-step explanation:

Answer:-16.74

Step-by-step explanation:

Michelle jumps from a plane at an altitude of 1000 m. After 10 seconds her parachute opens. The graph shows the relationship between the distance traveled and time. How long does it take for her to be half way between the plane and the ground? (1 point)

Continuous graph with the y axis labeled Distance (m) and the x axis labeled Time, min. The function consists of 3 lines, the first is almost vertical with a positive slope connecting the points 0,0, to approximately 1 of 6, 250. From that point the second line connects to the first and passes through the points 1,500, 2,800 and 2 1 over 3, 1000. From that point the function is horizontal.

a
40 s

b
1 min

c
1 min 20 s

d
1 min 40 s

Answers

Answer:

B

Step-by-step explanation:

If you look at the graph/chart, it starts at 1,000, so half of that is 500, so you go down to 500, and go straight down to see the number of time under it (In this case, is 1 minute) so you know it is one minute

2.(X+3) > 5. (3x + 1)

Answers

Answer:

3x+1 > 7

Step-by-step explanation:

x+3 > 5

x > 5-3

x > 2

3(x)+1

= 3(>2)+1

= 3x+1 > 7

Hope this helped!

solve for the variable
x-2= -5
7+x=11
-12+x=1

Answers

1. X= -3
2. X=4
3. X= 13
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