Below is a diagram of Hillcrest High School. The english and math buildings are congruent rectangles. The art building is a square. The total perimeter of Hillcrest High school’s building is 1,718 feet. Find the value of x. Find the missing perimeters for the buildings.
1. Find the value of x.
2. Find the missing perimeters for the buildings.
3. What is the area of the English building? (plug in your x value!)

Below Is A Diagram Of Hillcrest High School. The English And Math Buildings Are Congruent Rectangles.

Answers

Answer 1

Answer/Step-by-step explanation:

1. Perimeter of the building = sum of all the length of the outer borders surrounding the building = 1,718 ft

Thus:

4x - 6 + 2x + 3x + 2(3x + 4) + 3x + 2x + x + x + x + 2x + 4x - 6 + 2(3x + 4) + 4x - 6 + 3x = 1,718

Open the Parentheses

4x - 6 + 2x + 3x + 6x + 8 + 3x + 2x + x + x + x + 2x + 4x - 6 + 6x + 8 + 4x - 6 + 3x = 1,718

Combine like terms

42x - 2 = 1,718

42x = 1,718 + 2

42x = 1,720

x ≈ 41

2. Missing perimeter of Building = 2x + 2x + 4x - 6

Simplify

= 8x - 6

Plug in the value of x

= 8(41) - 6

= 322 ft

3. Area of English Building = length * width

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

Simplify

= (6x - 6)(3x)

Plug in the value of x

= (6(41) - 6)(3(41))

= (246 - 6)(123)

= (240)(123)

= 29,520 ft²


Related Questions

The sum of 4x^3 +2x-3 and 3x^2-5x-5 is

Answers

Answer:

4x³ + 3x² - 3x - 8

Step-by-step explanation:

Step 1: Write expression

(4x³ + 2x - 3) + (3x² - 5x - 5)

Step 2: Combine like terms

4x³ + 3x² - 3x - 8

Answer:

4x^3+3x^2-3x-8

Step-by-step explanation:

Use parentheses and combine like terms.

Help ASAP I’m stuck

Answers

Answer:

5, 12, 6, 4, 6, 5

Step-by-step explanation:

The nearest square root to 28 is 25, which is 5.

The nearest square root to 135 is 121, which is 12.

The nearest square root to 38.7 is 36, which is 6.

The nearest cubic root to 51 is 64, which is 4.

The nearest cubic root to 200 is 216, which is 6.

The nearest cubic root to 95 is 125, which is 5.

Help......,...........

Answers

66 degrees

Thing you have to know for these types of problems: The total measure of all angles is 180 degrees.

With that in mind, if we add 83 and 31, we get 114 degrees.

Now subtract from 180 and you will get 66 degrees.

Hope this helps, Please mark branliest if it did

what is 3/2=9/10k im having troble lots rly

Answers

Answer:

k=  5 over 3  =1.667

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (3)/(2)-((9)/(10)*k)=0

simplify 9/10

 3      9

 — -  (—— • k)  = 0  

 2     10

simplify 3/2

 3    9k

 — -  ——  = 0  

 2    10

   Find the Least Common Multiple

     The left denominator is :       2  

     The right denominator is :       10

Least Common Multiple:

     10

Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M  

   Denote the Left Multiplier by  Left_M  

   Denote the Right Multiplier by  Right_M  

   Denote the Left Deniminator by  L_Deno  

   Denote the Right Multiplier by  R_Deno  

  Left_M = L.C.M / L_Deno = 5

  Right_M = L.C.M / R_Deno = 1

Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      3 • 5

  ——————————————————  =   —————

        L.C.M              10  

  R. Mult. • R. Num.      9k

  ——————————————————  =   ——

        L.C.M             10

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3 • 5 - (9k)     15 - 9k

————————————  =  ———————

     10            10  

Pull out like factors :

  15 - 9k  =   -3 • (3k - 5)

-3 • (3k - 5)

 —————————————  = 0  

      10      

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 -3•(3k-5)

 ————————— • 10 = 0 • 10

    10    

Now, on the left hand side, the  10  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -3  •  (3k-5)  = 0

Solve :    -3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    3k-5 = 0  

Add  5  to both sides of the equation :  

                     3k = 5

Divide both sides of the equation by 3:

                    k = 5/3 = 1.667

one solution was found

k = 5/3 = 1.667

hope it helps sry its so long


SOME ONE PLEASE HELP!!! I HAVE A TEST SOON AND IDK HOW TO DO THIS!!!

im my wallet i have some quarters and some dimes. i have 16 coins in all and they total $2.95. how many of each coin do i have

THANK YOU SO MUCH ILY

Answers

Answer:

8 quarters and 8 dimes

Step-by-step explanation:

Answer:

9 quarters 7 dimes they equal $2.95

The number π is A. Rational B. Irrational

Answers

irrational. pi is an irrational number.

Explain why 10 x 2 is equivalent to 10 ÷ 1/2.

Answers

Answer:

in order to divide by a fraction, you need to multiply by its reciprocal instead, which would be 2 over 1 (2/1)

Step-by-step explanation:

in this case, 10 divided by 1/2 turns to 10 x 2/1

i tried my best, sorry if i couldnt help

Consider the equation and its solution.

8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. x = 10.

Which property is used in the last step to find that x = 10?

Answers

Answer:

The answer is Division property of equality

Step-by-step explanation:

Answer:

division property of equality

Step-by-step explanation:

Just took the test on edge

10x² - x - 2 = 0
whats thr solutions in fractions

Answers

Answer:

X=1/2, -2/5

Step-by-step explanation:

Solve the equation for X by finding a, b, and c of the quadratic then applying the quadratic formula.

Answer:

:) :) :) :) :) :) :0

Step-by-step explanation:

2/5 and 1/2

where do you put a decimal on 64

Answers

it depends what the question is

Answer:

Whats the question tho

Step-by-step explanation:

Given: K is between H and J, HK = 2x − 5, KJ = 3x + 4, and HJ = 24. What is the value of x?

Answers

Answer: x = 5

Step-by-step explanation:

Can someone plz help me asap!

Answers

Answer:

The angle across the given measurements are the same. So there will be a 27 degrees across from the other 27 degrees. The straight line is 180 degrees, so do 180-27=153. The means the other 2 angles are 153 degrees. The other one is the same, but with different measurements. 180-35=145

Step-by-step explanation:

Let the angle adjacent to ∠27° be x .

[tex]∠x + 27 = 180° \: ( \: linear \: pair \: )[/tex]

[tex]x = 180 - 27 \\ ∠x = 153°[/tex]

Let the angle opposite to ∠27° be y .

[tex]∠y = ∠27° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle adjacent to ∠y ( 27°) be w .

[tex]w + ∠27° = 180° \: ( \: linear \: pair \: ) \\ w = 180 - 27 \\ ∠w = 153°[/tex]

Let the angle opposite to ∠35° be p .

[tex]∠p = ∠35° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle adjacent to ∠35° be a .

[tex]∠a + 35° =180 ° \: ( linear \: pair ) \\ a = 180 - 35 \\ ∠a = 145°[/tex]

Let the angle opposite to ∠35° be t .

[tex]∠t = 35° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle opposite to ∠145° be o .

[tex]∠o \: = 145° \: ( \: vertically \: opposite \: angles \: )[/tex]

Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle.
(2x - 20) (4x - 10)

Answers

(2x - 20) = 55
(4x - 10) = 25

If you simplified 10/15 as a fraction what would the answer be

Answers

Answer:

2/3

Step-by-step explanation:

10/15 can be divided by 5

what factor makes the number sentence

7x4= 4x7

Answers

Answer:

Its a very complex solution but it x

=

0

,

3

14

2

Step-by-step explanation:

Last year Essex Manufacturing paid $3500 for utilities. This year the company used energy-saving techniques to reduce the utility bills by 13% of last year's cost. What was the cost of utilities for Essex Manufacturing this year?

Answers

Answer:

$3045

Step-by-step explanation:

You need to find 13% of 3500, and subtract it from 3500.

13% of 3500 = 455

3500 - 455 = 3045

I need help again..... and FAST

Answers

Answer:

b

Step-by-step explanation:

Answer: B
Why: Reason being is that if you look at the graph the most likely answer will be B.

In a class of 30 students 60% said they walk to school.

A) estimate how many students in the class walk to school.

B) write a proportion that you could use to determine the number of students in the class who walk to school.

C) solve your proportion. Check that your answer is reasonable.

Answers

Answer:

a) 18

b) 18 : 12

c)3  : 4

Step-by-step explanation:

a) 30 × [tex]\frac {60}{100}[/tex]

= 18 students walk to school

b)             No. of students                                       No. of students

            who walk to school               :                 who walk to school

                        18                               :                                 12

c)

18 : 12

=18/6 : 12/3

=3  : 4

evaluate 7m+ 3mn when m=8 and n=14?Answers:aA:84,B:196,C:392,D=168​

Answers

Answer:

c) 392

Step-by-step explanation:

PLEASE!!!

3. Determine whether the following table of values represents a linear, quadratic, or neither function. Show your calculations.

b) Explain how you know whether it is a linear, quadratic, or neither function.

Answers

Answer:

Quadratic function

Explanation:

It is not linear because the difference between y values is not constant.

([tex]10-5\neq 5-2[/tex] for example) In a linear function, the difference between y values would be constant.

Zachary purchased a computer for 1100 on a payment plan. 4 months after he purchased the computer, his balance was $755. Five months after he purchased the computer, his balance was $640. What is an equation that models the balance b after m months. What does the slope signify is zacharys equation?

Answers

Answer:

Model is

b = 115m + 65

The slope represents the amount of balance offset per month

Step-by-step explanation:

Here, we want to model an equation.

The equation to model will be in the form;

y = mx + c

we have the following points to consider

The points are in the form;

(number of months, balance)

(m , b)

So the points we have are;

(4,755) and (5,640)

So the slope will be ;

(y2 -y1)/(x2-x1) = (755-640)/(5-4) = 115

So the equation will be;

b = am + c

where a is the slope and c is the y intercept

we already have the slope

so equation becomes;

b = 115m + c

let’s get the y-intercept

we can get the y-intercept by any of the points;

That would be; let’s use (5,640)

640 = 5(115) + c

640 = 575 + c

c = 640 -575

c = 65

So the equation of the model is;

b = 115m + 65

The slope represents the balance per month

x² – x² – 3x + 3
all rational zeros to a polynomial

Answers

Answer:

x = 1

Step-by-step explanation:

[tex] {x}^{2 } - {x}^{2} - 3x + 3 \\ - 3x + 3 \\ 3x = 3 \\ x = 1[/tex]

paint cost 29.95 dollars per gallon, Eumya needs 12.25 gallons to complete a painting project. how much will Eumya spend on paint?

Answers

Answer

Step-by-step explanation:

Please help me with this

Answers

Answer:

D

Step-by-step explanation:

Answer is D

Explanation: Let’s take the x of 4 and y of 10 for example. Now let’s plug in with D
y=2x+2
10=2*4+2
10=8+2
10=10
To check you can try again with the other given numbers!!

How do I simplify (6x-10x^2+3)-(5x^2+3x-4) ???

Answers

Answer:

Step-by-step explanation:

6x-10x^2+3-(5x^2+3x-4)

when there is a - in front of an expression in (), change the sign of each term in the expression

6x-10x^2+3-5x^2-3x+4

now collect like terms

3x-10x^2+3-5x^2+4

3x-15x^2+3+4

3x-15x^2+7

now use the commutative property to reorder the terms

-15x^2+3x+7

=-15x^2+3x+7

Worth all my points plus Brainlist answer number 14 please it’s due in three hours

Answers

Answer:

Answer below

Step-by-step explanation:

2.08

2.082

2.8

2.82

√8 (it's 2.8284)

Answer:

let me know if im incorrect!

Step-by-step explanation:

2.082, 2.08, 2.8, 2.82, 8 squared (2.828)

Pls help me fast! Thank you!

Answers

Answer:

-2.5

Step-by-step explanation:

Slope is y over x, so in this case -15/6. Do -15/6 to get -2.6

Answer:

Step-by-step explanation:

What is the difference of 12-5i and -3 + 4i

Answers

imma follow up the answer above i don’t think it’s carrot but the color orange does have a good feel to it

Given f(x) = 17- x?, what is the average rate of change in f(x) over the interval [1, 5]?
-6
-1/2
1/4
1

Answers

Answer: -6

Step-by-step explanation: I just took the test

Help please! (Please do not answer with links)
Three step linear equations

8x - 10 = 4x - 30

Answers

Answer:

x = -5

Step-by-step explanation:

8x - 10 = 4x - 30

Subtract 4x from each side

8x-4x - 10 = 4x-4x - 30

4x -10 = -30

Add 10 to each side

4x-10+10 = -30+10

4x= -20

Divide by 4

4x/4 = -20/4

x = -5

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