Stephanie is giving a presentation to a new client. It took her 1713 minutes to finish a 13-slide presentation. She took the same amount of time on each slide. How long did she spend on each slide?

Answers

Answer 1

Answer:

Time taken per slides = 131.77 minutes.

Step-by-step explanation:

Given the following data;

Total time, t = 1713 mins

Number of slides, n = 13

To find the amount of time spent on each slides;

Time taken per slides = t/n

Substituting into the equation, we have;

Time taken per slides = 1713/13

Time taken per slides = 131.77 minutes.

Therefore, the amount of time Stephanie spent on each slide is 131.77 minutes.

Answer 2

It took Stephanie about 1 minute to finish each slide of the 13-slide presentation.

Equation

Equation is used to show the relationship between two or more numbers and variables.

Le x represent the amount of time spent on each slide.

Given that she spent  13 minutes to finish a 13-slide presentation. Therefore:

13x = 13

Divide through by 13:

13x/13 = 13/13x = 1

It took Stephanie about 1 minute to finish each slide of the 13-slide presentation.

Find out more on equation at: https://brainly.com/question/13763238


Related Questions

When Val checks her cable bill, she is shocked by her movie-rental bill for the month. Renting movies costs $2.99 for each movie. She could pay $7.99 a month that allows her to watch unlimited movies, but she doesn't have a lot of time to watch movies and she doesn't want to waste her money if it's not worth it. She creates the following probability distribution for the number of movies she typically watches each month: Should Val buy the monthly plan for unlimited movies or should she continue to pay $2.99 per movie? Explain your choice thoroughly. *

Answers

Answer:

She should buy the monthly plan for the unlimited movies rather than pay $2.99 per movie. This is because, the more she pay that amount for each movie, the higher her expenses would become at the end of each month.

For example, let assume, in a month, she 8 free days (Saturday and Sunday). She paying for each movie each of those days would supersede the amount she could have spent assuming she did the unlimited monthly plan of $7.99.

That notwithstanding other days which will feel like watching movies or the public holidays which she would be free to relax.

Step-by-step explanation:

4. Mr. Edgett’s Algebra 2 class has both juniors and seniors. The ratio of juniors to seniors is 4:1. If he has 30 students in all, how many of them are juniors? i need answer helpp

Answers

Answer:

Step-by-step explanation:

4•6 = 246=? (24)30÷ 5= 6= 16= 3066665 units = 30WaterOther drinks1 unit = 16= 16JuniorsSeniors1 unit = 6= 16  

Mr. Edgett has 24 juniors in his class.

Answer:

24

Step-by-step explanation:

-(-2x - 1) + 3(2x -2)

Answers

Answer:

Assuming you wanted the expression simplified, the answer is 8x-5

Step-by-step explanation:

this is a great online math calculator site, Mathw ay. I hope it helps! have a great day mark as brainlest!

Answer:

solve

Step-by-step explanation:

it

Michael bought a stereo on sale for 20% off the regular price. The regular price of the stereo was $180. What was the sale price of the stereo?

Answers

Answer:

the correct answer should be 144

Answer:

144

Step-by-step explanation:

180*20% is 36 so 180-36 is 144

2. Phan went grocery shopping and purchased 8 loaves of bread that cost $1.48 each, 4 bags of milk that
cost $4.33 each, and 2 boxes of cereal that cost $5.25 each.

Answers

Answer:

39.66

Step-by-step explanation:

i think your asking how much his total is going to be you didnt put the whole question so I really dont know

Vera hiked a total of 138 miles in 12 days. She hiked the same distance each day. Write and solve a multiplication equation to find the number of miles m she hiked each day.

Answers

Answer:

11 miles ah day

Step-by-step explanation:

11.5 x 12

Answer:

138 divided by 12 =11.5

Step-by-step explanation:

or you can do 11.5 x 12 to check your answer

Ronnie wants to write an equation to represent portional relationship that has a constant personality equal to 7 25th St. Reds equation Y equals X +7/25 what area is Ronnie making

Answers

Answer:

hi i have a question please chat me ok

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

How can you find 75% of any number?

Answers

Answer:

Step-by-step explanation:

Multiply it by 0.75, or find 3/4 of that number. Whichever you prefer! The first one always works though the second one sometimes does but sometimes 3/4 of the number isn't that obvious.

Answer:

Multiply the number you want to find 75% of by 0.75

Step-by-step explanation:

please help I am timed!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Option 3

Step-by-step explanation:

If you get more of these just now that a y value of a graph in this case -2, will be outside of the radical or else it would start at 2 and keep going right above 0 due to the radical.

Answer:

the answer is C

Step-by-step explanation:

Company A charges $18 plus $0.15 per mile what is the rate per mile charged by company A​

Answers

Answer:

The rate is $18.15 per mile.

Step-by-step explanation:

Add $18 + $0.15 and it equals $18.15.

Solve for x.
5x−2(x+1)=14 ​

x =

Answers

Answer:

x=16/3

Step-by-step explanation:

5x−2(x+1)=14

Distribute

5x -2x -2 =14

Combine like terms

3x -2 =14

Add 2 to each side

3x-2+2 =14+2

3x=16

Divide each side by 3

3x/3 = 16/3

x=16/3

Answer:

x = 16/3

Step-by-step explanation:

5x - 2(x + 1) = 14

~Simplify

5x - 2x - 2 = 14

~Combine like terms

3x - 2 = 14

~Add 2 to both sides

3x = 16

~Divide 3 to both sides

x = 16/3

Best of Luck!

4(x+3) ÷ 5 = 4x - 12

Answers

Answer: mixed fraction 4 1/2   improper fraction 9/2  decimal 4.5

Step-by-step explanation:

A ratio that compares a number to 100 is a(n) ?

percent

estimate

round

approximation

Answers

the answer is an percent

What is the product of (3a + 2)(4a2 – 2a + 9)? 12a3 − 2a + 18 12a3 + 6a + 9 12a3 − 6a2 + 23a + 18 12a3 + 2a2 + 23a + 18

Answers

Answer:

12a3 + 2a2 + 23a + 18

Step-by-step explanation:

Vertical multiplication works well when you have a binomial times a trinomial.

Multiply 2 times the trinomial and get 8a2 - 4a + 18 then multiply 3a times the trinomial to get 12a3. -6a2 + 27a

Then combine like terms.

The product of the givens expressions is 12a³ + 2a² + 23a + 18.

Product of the given expressions

The product of the givens expressions is obtained by multiplying all the variables in the bracket as shown below.

(3a + 2)(4a² – 2a + 9) = 3a(4a² – 2a + 9) + 2(4a² – 2a + 9)

= 12a³ - 6a² + 27a + 8a² - 4a + 18

simplify by collecting similar terms together

= 12a³ + 2a² + 23a + 18

Thus, the product of the givens expressions is 12a³ + 2a² + 23a + 18.

Learn more about product of expressions here: https://brainly.com/question/1852123

what is the sales tax of 9.25% on a tv costing 234.25

Answers

Answer:

[tex]21.668125[/tex] [tex]or[/tex] [tex]21[/tex] [tex]Dollars[/tex] [tex]and[/tex] [tex]66[/tex] [tex]Cents[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]9.25\%[/tex] [tex]of[/tex] [tex]234.25[/tex] = [tex]21.668125[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

add and reduce to lowest terms: 5 1/4+4 5/6

Answers

Answer:

−6.7 + (−2 1/ 5 )

Step-by-step explanation:

−6.7 + (−2 1/ 5 )

Answer:

The answer is 10 1/12

Step-by-step explanation:

Hope this helps!

Use the equation below to find y, if m=3 ,x=4 , and b=9
y=mx +b

Answers

Answer:

y = 21

Step-by-step explanation:

y = 3(4) + 9

= 12 + 9

= 21

PLEASE HELP ME!! I WILL MARK BRAINLIEST!! :<

Write a LETTER addressed to your friend as a reply to his/her request. In your letter, discuss/explain to him/her using your own words how to add and subtract
polynomials. Use examples to show them the step by step process of adding and subtracting polynomials.

Answers

Answer:

You're welcome

Step-by-step explanation:

question is in picture ​

Answers

Answer:

F=-6

Step-by-step explanation:

2f/2=-12/2

f=-6

Answer: -6

Step-by-step explanation:

what times 2 = -12

2 * -6 = -12

8 times a number increased by 4 is 60. Find the number

Answers

Answer:

7

Step-by-step explanation:

the number = x

8x + 4 = 60

8x = 56

x = 7

Plz HELPPP!!!
These tables of ordered pairs represent some points on the graphs of lines s and t.
Which system of equations is represented by lines s and t?

Answers

Answer:

a

Step-by-step explanation:

The system of equations is represented by lines s and t will be,3x + 5y = - 18 and 5x - 9y = 25.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

For S,

x ⇒  -5    2    4

y ⇒   4    10   22

For T,

x⇒ -4   0    5

y⇒ 14   6    -4

Since the equation represented by lines s and t will be verified by the given value for the x and y.As a result, the equation given in option C satisfies all the given points.

Thus, the system of equations is represented by lines s and t will be,3x + 5y = - 18 and 5x - 9y = 25.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

Can someone help me with this question ASAP!

Answers

Answer:

2700

Step-by-step explanation:

i think it is becaus you have to do l x w x h

3x - y = 5
y = -2
Solve for x

Answers

Answer:

x=1

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

3x - y = 5

3x - -2 = 5

Could also be written as:

3x + +2=5

(3x1) + 2 = 5

3 + 2 =5

x=1

Solve for x

(I’ve tried everything I can think of, but I still haven’t been able to solve this. Please help!)

Answers

Answer:

x = 6

∠2 = 75

Step-by-step explanation:

In the given triangle two sides are equal and so it is an isosceles triangle. So, the angles opposite to equal sides are equal

11x + 9 + 11x + 9 + 30 = 180   {Angle sum property of triangle}

      11x + 11x + 9 +9 +30 = 180

                     22x + 48   = 180

                            22x    = 180 - 48

                               22x = 132

                                   x = 132/22

                                  x = 6

∠2 = 11*6 + 9 = 66 +9 = 75

What is the range of 8,2,10,4,4,6

Answers

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is
10

2
=
8
10
-
2
=
8
.
8

Answer: the range is 8

Step-by-step explanation:

PLEASE ANSWER

Which characteristic is shared by both prokaryotes and eukaryotes?

Answers

Answer:

Eukaryotes may also be single-celled. Both prokaryotic and eukaryotic cells have structures in common. All cells have a plasma membrane, ribosomes, cytoplasm, and DNA. The plasma membrane, or cell membrane, is the phospholipid layer that surrounds the cell and protects it from the outside environment.

Could someone help me out with this please?

Answers

Answer:y=-x=5

Step-by-step explanation:

How would knowing the type of symmetry help you graph a function?

Answers

A graph is said to be symmetric about the y -axis if whenever (a,b) is on the graph then so is (−a,b) . Here is a sketch of a graph that is symmetric about the y -axis. A graph is said to be symmetric about the origin if whenever (a,b) is on the graph then so is (−a,−b) .

hope this helped u <3

Answer: How do you describe the symmetry?

If f (-x), then the graph of f(x) is symmetrical with respect to. A function symmetrical with respect to the y-axis is called an even function. A function that is symmetrical with respect to the origin is called an odd function.

Step-by-step explanation: hope I help you with your problems


Question 16
If you spin the given spinner 90 times, how many would you expect to be greater than 3?

Answers

Answer:

36 times.

Step-by-step explanation:

The numbers above 3 make up 40 percent of the spinner. So take 40% of 90 to get an answer of 36

Pls help me i'm so confused with this ;-;

Draw the solution set for each of the following inequalities.​

Answers

Answer:

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ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎

ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎

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ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎

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