Determine the value of x in the diagram.
​

Using a system of equations, it is found that there are:

For the system, we have that:

Combined, there are 199 rooms, hence:

[tex]x + y + z + w = 199[/tex]

The number of rooms exceeds the  number of bathrooms and fireplaces by 68, hence:

[tex]x = y + z + 68[/tex]

The difference between the number of fireplaces and elevators is  23, hence:

[tex]z - w = 23[/tex]

If the number of bathrooms is doubled, it exceeds the number of fireplaces and elevators by 47, hence:

[tex]2y = z + w + 47[/tex]

Replacing the third equation into the fourth:

[tex]z = 23 + w[/tex]

[tex]2y = z + w + 47[/tex]

[tex]2y = 23 + w + w + 47[/tex]

[tex]2y = 2w + 70[/tex]

[tex]y = w + 35[/tex]

Then, from the second equation:

[tex]x = y + z + 68[/tex]

[tex]y + z = x - 68[/tex]

We can solve for w, considering that:

[tex]y = w + 35[/tex]

[tex]z = 23 + w[/tex]

[tex]y + z = x - 68[/tex]

[tex]x = y + z + 68[/tex]

[tex]x = w + 35 + w + 23 + 68[/tex]

[tex]x = 2w + 126[/tex]

[tex]x + y + z + w = 199[/tex]

[tex]2w + 126 + w + 35 + 23 + w + w = 199[/tex]

[tex]5w + 184 = 199[/tex]

[tex]5w = 15[/tex]

[tex]w = \frac{15}{5}[/tex]

[tex]w = 3[/tex]

Then, solving for the other variables:

[tex]x = 2w + 126 = 2(3) + 126 = 132[/tex]

[tex]y = w + 35 = 3 + 35 = 38[/tex]

[tex]z = 23 + w = 23 + 3 = 26[/tex]

There are:

A similar problem is given at https://brainly.com/question/17096268

Answer: Let x = length (in cm) of the decreasing leg at time t seconds

Step-by-step explanation: I hope this was any help ϵ( ‘Θ’ )϶

The mapping of the strip pattern onto itself is a Glide reflection.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Glide reflection is a combination of reflection over a line and then translation along that line.

As we can see, the mapping of the strip pattern onto itself is a Glide reflection.

Find out more at: https://brainly.com/question/25442628

Answer:

A: Half-turn

Step-by-step explanation:

i took the test and got it wrong due to the wrong answer above.

Answer:

C=66, C=25 1/7

Step-by-step explanation:

i

C=pi(d)

C=22/7*21

C=66

ii

C=pi(d)

C=22/7*16

C=25 1/7

7 Mathexcellup logo

I answered the question and got it right.

Answer:

I believe the answer is 20 cds

Step-by-step explanation:

got Ben to have twice her CDs he would have to have 24 while she had 12.

if Ali gave away 40 percent than 12 would be 60 percent.

from there I cross multiplied.

If the total number of CDs is 36, it is not possible to distribute them in a way that Ben receives twice as many as Ali after Ali gives away 40% of her CDs.

Let's assume the number of CDs Ali originally had is "x," and the number of CDs Ben originally had is "y."

According to the information given:

1. Ali and Ben have a total of 36 CDs: x + y = 36

2. After Ali gives Ben 40% of her CDs, Ben has twice as many as Ali:

Ali gives away 40% of x, which is 0.4x CDs.

After this, Ali has x - 0.4x = 0.6x CDs left.

Ben receives 0.4x CDs from Ali and now has y + 0.4x CDs.

According to the second statement, y + 0.4x = 2(0.6x).

Now, we have a system of two equations:

x + y = 36 ........(1)

y + 0.4x = 2(0.6x) ........(2)

First, let's simplify equation (2):

y + 0.4x = 2(0.6x)

y + 0.4x = 1.2x

Now, to solve for x, isolate y in equation (1) and substitute it into equation (2):

y = 36 - x

Substitute y in equation (2):

36 - x + 0.4x = 1.2x

Combine like terms:

36 = 1.2x + x - 0.4x

36 = 1.6x

Now, solve for x:

x = 36 / 1.6

x = 22.5

Since the number of CDs cannot be a decimal, let's reevaluate the equations.

From equation (1):

x + y = 36

Substitute the value of x we found:

22.5 + y = 36

y = 36 - 22.5

y = 13.5

Now, we have found that Ali originally had 22.5 CDs, which is not possible. However, since the number of CDs must be a whole number, it means there might be a mistake in the problem statement.

To know more about Ben:

https://brainly.com/question/29177365

#SPJ2

Answer:

wow

Step-by-step explanation:

Answer:

its x: x< -3

Step-by-step explanation:

ya

Answer:

y = -4x - 2

Step-by-step explanation:

y = mx + b where

m = slope, and b = y-intercept

slope = -4 = m

y-intercept = -2 = b

y = mx + b

y = -4x - 2

Answer: y = -4x - 2

Answer:

i dont know sry....i ned points..

Answer:

5 and 7

Step-by-step explanation:

Fast and loose: 12 is written as a sum of two odd numbers as 1+11; 3+9; 5+7. The only consecutive pair is 5 and 7

Let's use algebra: let's call 2n+1 the first and 2n+3 the second.

Their sum is 2n+1 +2n+3 = 4n+4 = 12. Thus, n+1=3 and n= 2. It means the 2 numbers are 2x2+1 =5 and 2x2+3 =7

Answer:

24

Step-by-step explanation:

3x8=24

6x4=24

8x3=24

Answer:

It is! The correct answer is -98/5 or -19.6

Step-by-step explanation:

Answer:

140cm^3

Step-by-step explanation:

4*5*7 = 140

Answer:

I think it would be A??? idfk man

9514 1404 393

Answer:

  d.  32°

Step-by-step explanation:

Vertical angles are congruent, so ...

  5x +2 = x +26

  4x = 24

  x = 6

  (x +26)° = (6+26)° = 32°

The measure of the angle is 32°.

_____

Additional comment

Vertical angles share a vertex. This means B and E are two names for the same point.

Answer:

the answer would be C guys

Answer:

40°

Step-by-step explanation:

We know that a triangle is equal to 180°

Since one angle is 50° we can figure out that the rest of the angles are equal to 130° (180° - 50°)

If we use 40° then 2·(40°) = 80°

and the second angle is 40° + 10° = 50°

if we add all the angles (80° + 50° + 50°) we get 180° which is correct.

Answer:

0.2

Step-by-step explanation:

     We will divide the number of girls who prefer burgers by the number of students

       [] 5 + 5 + 6 + 4 + 7 + 3 = 30

       [] 6 / 30 -> 0.52

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

It is true because it is true.

Step-by-step explanation:

Why else would it be false?

Answer: A number is a minimum of 6

Step-by-step explanation:

The < and > mean greater or less than. I learned these with this trick when I was little imagine they were mouths or maybe Pac-Man or something, the mouth would ways point to the bigger number. So here it means n is bigger than 6. When there is a line under the < or > it means it can also be equal to the number. SO this means n is equal to or bigger than 6 meaning the number of n is a minimum of 6.

Answer:

the answer to your question Is B $5,378

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Are of the given figure is ~

[tex] \boxed{ 50.28 \: \: cm {}^{2} }[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The area of the compound shape is equal to ~

Area of rectangle + Area of semi - circle

let's find the Area of rectangle ~

now, let's find the Area of Semicircle ~

So, Area of the given figure is equal to ~

Answer:

-7

Step-by-step explanation:

there are 16 increments in total, and half are labeled

so the answer is -7 because if the increments are 1 and it is left of zero, so do 7*-1 because it is to the left

Answer:

-7

Step-by-step explanation:

Answer:

1st option

Step-by-step explanation:

cosU = [tex]\frac{asjacent}{hypotenuse}[/tex] = [tex]\frac{UV}{UW}[/tex] = [tex]\frac{15}{17}[/tex]

Answer:

3:5:11

hope this helps u!!

Answer:

3    : 5   :   11​

Step-by-step explanation:

6 : 10 : 22​

Divide each term by 2

6/2 : 10/2 : 22/2

3    : 5   :   11​

Answer:

[tex]\boxed{\boxed{\sf 5x+35}}[/tex]

Step-by-step explanation:

[tex]\sf 3x+15+2x+20[/tex]

→ Combine like terms:

[tex]\sf 3x+2x+15+20[/tex]

Answer:

Every number on the left is multiplied by 8 to equal the number on the right.

Step-by-step explanation: