Mitch lives on the 20th floor of an apartment building. Every time he leaves, he rides a self-service elevator from the 20th floor to the street; but every time he returns, he rides the same self-service elevator only to the 15th floor, where he leaves the elevator and walks up the remaining five flights of stairs. What is happening? Why does he do that?

Step-by-step explanation:

Hey there!!!

Here,

The midpoint of AB is M(-3,-3) and coordinates of A is (-8,-2).

Now,

Using midpoint formulae,

[tex](x,y) =( \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} )[/tex]

Put all values.

[tex]( - 3,- 3) = ( \frac{ - 8 + x}{2} , \frac{ - 2 + y}{2} )[/tex]

As they are equal, equating with their corresponding elements we get,

[tex] - 3 = \frac{ - 8 + x}{2} [/tex]

Simplify them.

[tex] - 6 = - 8 + x[/tex]

[tex]x = - 6 + 8[/tex]

Therefore, x= 2

Now,

[tex] - 3 = \frac{ - 2 + y}{2} [/tex]

Simplify them.

[tex] - 6 = - 2 + y[/tex]

[tex]y = - 6 + 2[/tex]

Therefore, y = -4.

Therefore, the coordinates of B are (2,-4).

Hope it helps...

Step-by-step explanation:

Hey there!!!!

Given,

Angle r and angle s are supplementary angle.

And angle r = 120°.

Now, we have,

supplementary angle's sum is always 180°.

So, angle r + angle s = 180°.

or, 120°+ angle s = 180°

Therefore the measure of angle s is 60°.

Hope it helps....

Answer:

8/10

Step-by-step explanation:

Step 1:

7 2/10 × 1/9

Step 2:

72/10 × 1/9

Answer:

8/10

Hope This Helps :)

7.2 times 1/9 is 0.8

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Given:

7.2 times 1/9

=7.2* 1/9

=72/10* 1/9

=8/10

=0.8

Hence, 7.2 times 1/9 is 0.8

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Answer:

for a rectangle to be called a square with 4 sides must be equal

for rectangle to be called a square its four angles must be equal.

Answer:

all parallel sides are the same lengths

all angles are 90°

Step-by-step explanation:

We know that the square has the definition of an object or plane that has all the four sides of equal length,

And all the angles related to the sides are also same. (all angles are 90°)

Whereas, a rectangle gets defined as the plane figure with four straight sides and the same number of right angles where the two parallel sides become of equal length.

Joel reads 21 books in the span of 7 months

Answer:21

Step-by-step explanation:

The equation would be 3x

X being months he was on the book club so x would be 7

3(7)=21

Answer: 7

Step-by-step explanation: First you subtract 5 from both sides to single out the -3x. Then you will have -3x = -21. You will then divide both sides by negative three because you want to single out the x. After that, you will have the answer of x = 7

Answer:

x = 7

Step-by-step explanation:

-3x+5=-16

    -5  -5

-3x=-21

-3x/3 = -21/-3

x=7

Answer -11r - 31

First you have to multiply the 4 to the numbers on parenthesis and also the 5 to the numbers of parenthesis.

Answer:

yes

Step-by-step explanation:

if it is a terminating decimal(a decimal that ends) it will be rational

Answer:

rational

Step-by-step explanation:

because it is a decimal. idrk i just guessed but im pretty sure im right

Answer:

Constant of proportionality, [tex]r = \frac{1}{10}[/tex]

x ≤ 3

x ∈ [ 3 ; +oo )

2(4 + 2x) ≥ 5x + 5

8 + 4x ≥ 5x + 5

8 - 5 ≥ 5x - 4x

3 ≥ x

x ≤ 3

x ∈ [ 3 ; +oo )

Answer:

True

Step-by-step explanation:

2x+3y=6

2(0)+3y=6

0+3y=6

3y=6

y=2

Answer:

let the number be a.

now,

5a-13=10

or, 5a= 10+13

or, a = 23/5

or, a = 4.6

therefore, the number is 4.6

Answer:

it would be 5

Step-by-step explanation:

Step-by-step explanation:

y+19>_13

y=-13-19

=-32

Answer: Stephanie is 15

Step-by-step explanation:

because you can do 24 divided by 2 which equals 12 then add three to 12 and you get 15.

you're welcome! plz lmk if i'm wrong XD

Stephanie's age is 3 years greater than half of her sister's current age. If her sister is 24 years old, then Stephanie's age is 15 years.

To find Stephanie's age, we need to follow the given information that her age is 3 years greater than half of her sister's current age.

First, we find half of her sister's age: Half of 24 = 24 / 2 = 12

Next, we add 3 years to half of her sister's age: 12 + 3 = 15

Therefore, Stephanie's age is 15 years.

Age can be used in mathematical equations and word problems to solve for unknowns or to establish relationships between different quantities. For example, age-related math problems might involve scenarios such as Finding someone's age given their birth year and the current year,  Calculating the average age of a group of people and Determining the age difference between two individuals based on their birth years.

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Answer:

the answer should be 12 weeks

Step-by-step explanation:

Because, 294-126=168 and 168 divided by 14 is 12

Answer:

P=9.0h

Step-by-step explanation:

Divide the Paid amount by the hours worked and you'll get how much money she gained every hour which is 8.50$ And the question is telling you which of the following equations is GREATER than the amount she got paid per hour. So the answer would be P=9.0h

The required equation represents an hourly pay rate that is greater than Hillary's hourly pay rate p = 9.0h. Option D is correct.

Given,

Hillary’s summer job at the frozen yogurt shop paid her the amounts shown in the table below in her first three days on the job (she got paid the same hourly rate every day).
                    day  =       1            2        3
Hours worked(h) =       5           4        6
Amount paid (p)  =   $42.50   $34     $51

The slope of the line is the tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.

The slope of the data given,
m = 42.5/5

m = 8.5
the slope shows the hourly rate to get paid.
Required expression is
p = 8.5h

From the option, the slope of equations needs to compare greater the slope greater will the hourly rate.
Slope of equation A = 1/8, B =8, C = 8.5 and D = 9.0
hence, only slope D has a greater value by the existing slope of 8.5

Thus, the required equation that represents an hourly pay rate that is greater than Hillary's hourly pay rate p = 9.0h.

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Question is incomplete, correct question has added below.

Answer:

20

Step-by-step explanation:

y=mx+b

m=slope

y=20x-250

Answer:

x=7 Hope this helps :)

Step-by-step explanation:

Let's solve your equation step-by-step.

2x+8+3x+6=7x

Step 1: Simplify both sides of the equation.

2x+8+3x+6=7x

(2x+3x)+(8+6)=7x(Combine Like Terms)

5x+14=7x

5x+14=7x

Step 2: Subtract 7x from both sides.

5x+14−7x=7x−7x

−2x+14=0

Step 3: Subtract 14 from both sides.

−2x+14−14=0−14

−2x=−14

Step 4: Divide both sides by -2.

−2x

−2

=

−14

−2

x=7

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2x + 8 + 3x + 6 = 7x}[/tex]

Add the like terms : 2x and 6

[tex] \dashrightarrow{ \sf{5x + 8 + 6 = 7x}}[/tex]

Add the numbers : 8 and 6

[tex] \dashrightarrow{ \sf{5x + 14 = 7x}}[/tex]

Move 7x to left hand side and change it's sign

Similarly, move 14 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{5x - 7x = -14}}[/tex]

Subtract 7x from 5x

[tex] \dashrightarrow{ \sf{ - 2x = - 14}}[/tex]

Divide both sides by -2

[tex] \dashrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{-14}{ - 2}}} [/tex]

Calculate

[tex] \dashrightarrow{ \boxed{ \sf{x = 7}}}[/tex]

Hope I helped!

Best regards! :D

Answer:

  an = 2·2^(n-1)

Step-by-step explanation:

There are simple tests to determine whether a sequence is arithmetic or geometric. The test for an arithmetic sequence is to check to see if the differences between terms are the same. Here the differences are 2, 4, 8, so are not the same.

The test for a geometric sequence is to check to see if the ratios of terms are the same. Here, the ratios are ...

  4/2 = 2

  8/4 = 2

  16/8 = 2

These ratios are all the same (they are "common"), so the sequence is geometric.

The general term of a geometric sequence with first term a1 and common ratio r is ...

  an = a1·r^(n-1)

Filling in the values for this sequence, we find the general term to be ...

  an = 2·2^(n-1)

Answer:

no . of items = 10

Position of mean = (n+1)/2

                            = 11/2 = 5.5th item

In the data 5.5 item is the average of 5th and 6th item

median = (x+2+x+4)/2

or 25= (2x+6)/2

or 50 = 2x +6

0r 2x = 44

x =22

Answer:

X=23

Step-by-step explanation:

11,13,15,19,_,_,30,39,46

The middle number is the first dash which is represented by x+2 which is equal to 25

25-2=23 which is x

Dash 2 which is represented by x+4 is equal to 23+4=27

Answer: 0 = 0

Step-by-step explanation: there is no solution  

Answer:

-2.23, -2 2/5, -0.95

Step-by-step explanation:

-15/16 = -0.9375 (greater than -0.94)

0.24 (greater than -0.94)

-2.23 (less than -0.94)

97% = 0.97 (greater than -0.94)

-2 2/5 = -2.4 (less than -0.94)

-0.95 (less than -0.94)

Answer:

s divided by 6

Step-by-step explanation:

there's 6 ppl and there's s sandwiches

Answer:

59.08

Step-by-step explanation:

Answer: F,E,D

Step-by-step explanation: F,E,D is complementary to F,G,C because it is The angle F,E,D is a corresponding angle.

Answer:

4

Step-by-step explanation:

Following PEMDAS order:

-6*2=-12

-12/-3=4

Answer:

-6(2)(-3)

-3+2

-5

Step-by-step explanation:

Answer:

80? im like 90% sure its 80