An elevator begins on the ground floor of a hotel. It travels up 18 floors, down 9 floors, up 5 floors, and down 3 floors. What integer represents the change in the number of floors it must now make in order to return to the ground floor?

Answer:

x = 11

y = 2

n = 4

Step-by-step explanation:

Three equations

Look for x

Look for y

Look for n

__________________

Note that all of these are questions can be answered through isolating the variable.

Let's start with x :

Get x alone :

2(x + 5) = 3x + 1

Distribute :

(2(x) + 2(5))

2x + 10 = 3x - 1

Add 1 to both sides of the equation :

2x + 11 = 3x

Subtract 2x from both sides :

11 = x

x = 11

Next is y :

Isolate y :

3y - 4 = 6 - 2y

Add 4 to both sides :

3y = 10 - 2y

Add 2y to both sides :

5y = 10

Divide 5 from both sides to get y by itself :

y = 2

Lastly is n :

Isolate n :

3(n + 2) = 9(6 - n)

Distribute :

(3(n) + 3(2)) = (9(6) - 9(n))

3n + 6 = 54 - 9n

Subtract 54 from both sides :

3n - 48 = -9n

Subtract 3n from both sides :

-48 = -12n

-12n = -48

Divide -12 from both sides :

n = 4

Answer:

It's 48

Step-by-step explanation:

I'm a little late but I got it correct on khan.

Answer:

48

Step-by-step explanation:

i have the same question and i tried 48

its correct look at the other persons math i swear

Answer:

principal=$300

time=1 year

simple interest=$54

rate=?

Step-by-step explanation:

rate=(simple interest×100)/(principal×time)=(54×100)(300×1)=5400/300=54/3=18% is rate

Answer:

16-4x^2

Step-by-step explanation:

Answer:

The answer is 16-4x^2

Step-by-step explanation:

Hope this helps!

PONLE QUE ES A LA MIERDA IEUFJEUNFUF

Answer:

17.28 is around

23.76 is the area

Step-by-step explanation:

Answer:

A number line going from 27 to 37, open circle at 32, everything to the right is shaded

Step-by-step explanation:

-1/2p < -16

multiply each side by -2 (don't forget to switch inequality symbol)

p > 32

Answer:

i think B

Step-by-step explanation:

Answer:

[tex]40%[/tex]%

Step-by-step explanation:

Okay, so percent error is how we determine the margin of differentiation or in simple terms, the percent of the difference between two numbers. The equation is as follows:

[tex]\frac{Accurate Amount-GivenAmount}{Accurate Amount}[/tex]

So, here we know that our Accurate Amount is $180 since that is the price of the phone. Our given amount is $108 dollars, so our steps would look like this:

[tex]\frac{Accurate Amount-GivenAmount}{Accurate Amount} \\\\\frac{180-108}{180} =\\\\\frac{72}{180} =\\\\0.4 or 40%[/tex]

I would be happy to help you again in the future and hope that this provided you with some clarification. Have a good day! :D

Answer:

The solution is 18

Step-by-step explanation:

Answer:

So, what I think you might have meant is 2^3 x 2^4, so I'll solve that

2^3 = 8

2^4 = 16

16 x 8 = 128

Step-by-step explanation:

Hope this helps! Have a great day

Answer:

$36.000

Step-by-step explanation:

Beca total = 60.000

1/5 parte = 12.000

Gasta 2/5 partes lo que son 24.000

Le quedan 36.000 para otros gastos

Answer:

about 10 times I hope it helps

Answer:

A) 3 times more apple juice is used than carrot juice aka 22 more millimeters

B) 66 millimeters

Step-by-step explanation :

3 : 1 : 2     aka     33 : 11 : 22

You have the ratio, so you just have to divide 33/3 and you know you have to multiply that awnser times the other ratios.

So...

33/3 = 11

3 x 11 = 33

1 x 11 = 11

2 x 11 = 22

So the ratio is 33 : 11 : 22

Then, A is asking you how much more apple juice than carrot juice, so subtract ( amount of apple juice - amount of carrot juice )

33 - 11 = 22 millimeters more apple juice than carrot juice

Then, B is asking you how much juice is there in total. So just add all the juices together....

33+22+11 = 66

So 66 milimeters of juice all together

(a) The apple juice is 22 ml more than the carrot juice.

(b) The total amount of the mixture is 66 ml.

Important information:

(a)

Let the quantity of Apple, carrot, and celery is 3x, x, 2x respectively.

[tex]3x=33[/tex]

[tex]x=11[/tex]

Difference between Apple and carrot juice is:

[tex]3x-x=2x[/tex]

[tex]3x-x=2(11)[/tex]

[tex]3x-x=22[/tex]

Therefore, the apple juice is 22 ml more than the carrot juice.

(b)

The total amount of the mixture is:

[tex]3x+x+2x=6x[/tex]

[tex]3x+x+2x=6(11)[/tex]

[tex]3x+x+2x=66[/tex]

Therefore, the total amount of the mixture is 66 ml.

Find out more about 'Ratio' here:

https://brainly.com/question/13968982

Answer:

The correct answer would be y=5/8x + 1/2

Step-by-step explanation:

Answer:

The right answer is the last one (d)

[tex]y = \frac{5}{8} x + \frac{1}{2} [/tex]

Answer:

99

Step-by-step explanation:

-x-=+

18x6=108

108-6=99

-6 because you put 0 where f(x) is

Answer:

Step-by-step explanation:

x+61=90

x=29 degrees

Answer:

[tex]3\frac{3}{4}=\frac{15}{4} =3.75[/tex]

Step-by-step explanation:

Hope this helps.

Answer:

11/2

Step-by-step explanation:

3(x-5)=-x+7

3x-15=-x+7

3x-(-x)-15=7

3x+x=7+15

4x=22

x=22/4

simplify

x=11/2

Answer:

11/2

Step-by-step explanation:

Answer:

The value of k is:

[tex]k=-\frac{31}{4}[/tex]

Step-by-step explanation:

Given

The line containing the points (-3,k) and (4,8) is parallel to the line containing the points (5,3) and (1,-6).

To determine

what is the value of k?

To determine the value of k, the first step we need to do is to find the slope of the line containing the points (5,3) and (1,-6) using the formula

[tex]\mathrm{Slope}=m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here:

now substituting (x₁, y₁) = (5, 3)  and (x₂, y₂) = (1, -6) in the formula

[tex]m=\frac{-6-3}{1-5}[/tex]

[tex]m=\frac{-9}{-4}[/tex]

Apply the fraction rule:  [tex]\frac{-a}{-b}=\frac{a}{b}[/tex]

[tex]m=\frac{9}{4}[/tex]

Thus, we conclude that the slope of the line containing the points (5,3) and (1,-6) will be:

[tex]m=\frac{9}{4}[/tex]

Importing Tip:

Thus, using the slope formula for the line containing the points (-3,k) and (4,8).

[tex]\mathrm{Slope}=m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here:

As we know that the parallel lines have the same slopes.

Thus, the second step we need to do is to substitute m = 9/4 in the slope formula

[tex]\frac{9}{4}=\frac{y_2-y_1}{x_2-x_1}[/tex]

now substituting (x₁, y₁) = (-3, k)  and (x₂, y₂) = (4, 8) in the formula

[tex]\:\:\:\frac{9}{4}=\:\frac{8-k}{4-\left(-3\right)}[/tex]

switch sides

[tex]\frac{8-k}{4-\left(-3\right)}=\frac{9}{4}[/tex]

Multiply both sides by 7

[tex]\frac{7\left(8-k\right)}{4-\left(-3\right)}=\frac{9\cdot \:7}{4}[/tex]

Simplify

[tex]8-k=\frac{63}{4}[/tex]

Subtract 8 from both sides

[tex]8-k-8=\frac{63}{4}-8[/tex]

Simplify

[tex]-k=\frac{31}{4}[/tex]

Divide both sides by -1

[tex]\frac{-k}{-1}=\frac{\frac{31}{4}}{-1}[/tex]

Simplify

[tex]k=-\frac{31}{4}[/tex]

Therefore, the value of k is:

[tex]k=-\frac{31}{4}[/tex]

VERIFICATION:

As the value of k = -31/4.

So the first line will contain the points:

Finding the slope between (-3, -31/4) and (4, 8) using the slope formula

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here:

so substituting (x₁, y₁) = (-3, -31/4)  and (x₂, y₂) = (4, 8) in the formula

[tex]m=\frac{8-\left(-\frac{31}{4}\right)}{4-\left(-3\right)}[/tex]

Apply rule:  [tex]-\left(-a\right)=a[/tex]

[tex]m=\frac{8+\frac{31}{4}}{4+3}[/tex]

Add the numbers:  [tex]4+3=7[/tex]

[tex]m=\frac{8+\frac{31}{4}}{7}[/tex]

[tex]m=\frac{\frac{63}{4}}{7}[/tex]           ∵ [tex]8+\frac{31}{4}=\frac{63}{4}[/tex]

Apply fraction rule:  [tex]\frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}[/tex]

[tex]m=\frac{63}{4\cdot \:7}[/tex]

[tex]m=\frac{63}{28}[/tex]

Cancel the common factor:  7

[tex]m=\frac{9}{4}[/tex]

So, the slope of the line containing the points (-3,k) and (4,8) is m = 9/4. It means both lines have the same slopes. Hence, they are parallel.  

Therefore, we conclude that the value of k = -31/4 is true.

Answer:

u=y

u=35°

hope this is enough

The angles are those which are located at the same relative location on distinct crossings and are known as corresponding angles.

Find out more about the corresponding angles here:

brainly.com/question/1597341

Answer:

294

Step-by-step explanation:

100%-> 700

42%->294

Answer:

3848.45cm^2

Step-by-step explanation:

Answer:

Its the second one, the one on the bottom left.

Step-by-step explanation:

You just need to find the answer to one of the coordinates, then it will be easier.

when x = is 0, then y =8 and when x = 1, then y = 7.5

Answer:

Left=9.4cm Right = 12cm

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 x 5^2 =89^2

Square that = 9.43cm

Right Triangle

17^2-12^2=b^2

=145^"

Square it: 12cm

Answer:

0.702

Step-by-step explanation:

Answer:

50 miles

Step-by-step explanation:

i just know

Answer:

[tex]\displaystyle d = \sqrt{41}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Point (1, 10)

Point (5, 15)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

Her error was multiplying -3 and -4 which gives +12 but she wrote -12 instead

Step-by-step explanation:

Mariana workings:

-3(2x - 4) = -12

-6x - 12 = -12

Her error was multiplying -3 and -4 which gives +12 but she wrote -12 instead

-6x = 0

x=0

Correct workings:

-3(2x - 4) = -12

-6x + 12 = - 12

-6x = -12 - 12

-6x = -24

x = -24/-6

x = 4

Answer:

x=40

Step-by-step explanation:

Area of a triangle = B*H/2

First, you have to find the relationship between the large triangle and the smaller triangle. 72 is three times as much as 24, so to find x, you would have to find the relationship between 120 and x. So, 120/3 = 40.