An auditorium has 300 seats.at the beginning of a concert,100 people were in the auditorium.every 10 minutes,15 people leave and 40 people sit down.if this continues,how long will it take for the auditorium to be full?

Answers

Answer 1

The auditorium will be full after 80 minutes

The total number of seats in the auditorium is the sum of all the people in the auditorium when it is full

Total number of people in the auditorium = 300

Every 10 minutes,15 people leave and 40 people sit down

Number of people joining the room every 10 minutes = 40 - 15

Number of people joining the room every 10 minutes = 25

The number of people originally in the room = 100

Number of people remaining for the auditorium to get full = 300 - 100

Number of people remaining for the auditorium to get full =  200

Number of times 25 people join the auditorium = 200/25

Number of times 25 people join the auditorium = 8

Since 25 people join every 10 minutes for 8 different times:

Time taken for the auditorium to be full = 10(8)

Time taken for the auditorium to be full = 80 minutes

Therefore, the auditorium will be full after 80 minutes

Learn more here: https://brainly.com/question/24962274


Related Questions


1. Translate the following sentence into an equation and solve. The
product of five and the sum of a number x and three is twelve .?

Answers

Answer:

5*(x+3) = 12

Step-by-step explanation:

Product means multiply

Sum means add

Is means equals

product of five and the sum of a number x and three is twelve

5*(x+3) = 12

pleaaaaaaaaaaseeeeeeeee heeeeeeeeeeeelllllllllllllllllpppppppppppppppppp

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

When dividing exponents, you can subtract them from eachother.

So, x^2/x = x    y^3/y^-3=y^6     z^2/z^2 = z^0 = 1

what is 3/8 as a desimle

Answers

Answer:

0.375

Step-by-step explanation:

Answer:

decimal is 0.375.

Step-by-step explanation:

just divide 8 by 3

Gsjsjjsjsjsjsjsjjsjsjsjsh

Answers

Answer:

thanks for the point

GGGGGGGGGGGGGGDFHNFJYGJTG

ASAP HELP 100 POINTS

Answers

Answer:

m∠1 = 180° - 46° = 134° ⇒  Consecutive interior angles are supplementarym∠2 = 46                      ⇒  Alternate interior angles are congruent

Answer:

m∠1 = 180° - 46° = 134° ⇒  Consecutive interior angles are supplementary

m∠2 = 46                      ⇒  Alternate interior angles are congruent

Step-by-step explanation:

The length of the subway is 113 miles. if 4.1 inches represents 677 miles, what is the length of the subway on the map? Round your answer to the nearest
hundredth if needed.

Answers

Answer:

0.68 inches (nearest hundredth)

Step-by-step explanation:

First, find the length on the map that represents 1 mile of the subway.

677 miles ----- 4.1 inches

1 mile ----- 4.1 ÷ 677= 0.0060561 inches (5 s.f.)

Multiply both sides by 113:

113 miles ----- 113(0.0060561)= 0.68 inches (nearest hundredth)

Thus, the length of the subway on the map is 0.68 inches.

Determine whether each data set represents a function. Part A and B

Answers

Answer:

Part A - Represents a function

Part B - Doesn't represent a function.

Step-by-step explanation:

A set is just a list of numbers to check. The question is asking you based on the set...

(-5, 8)

(-6, 2)

(-2, -6)

(-1, 8)

(4,6)

if it is a valid function.

At NO point should a function have multiple x values. This fails the Vertical Line Test if visualized on a graph.

For Part A, there are no duplicate x values, meaning this function is valid.

For Part B, there is a duplicate x value - (2,9) & (2,4). Because of this, immediately the function is invalid. There can not be any duplicate x values in a valid function, PERIOD. If graphed, it fails the vertical line test.

What is the slope of the line that passes through the points (−10,0) and (-13, 3) ? Write your answer in simplest form.

Answers

Answer:

A slope of -1

Step-by-step explanation:

use the slope formula

Graph by using the slope and the y intercept.

Answers

1. a) equation of the line :

[tex]y = \dfrac{2}{5}x - 7[/tex]

y - intercept = -7

so, it will pass through point (0, -7)

and if we plug the value of x as 5, we get

[tex]y = (\dfrac{2}{5} \times 5) - 7[/tex]

[tex]y = 2 - 7[/tex]

[tex] = - 5[/tex]

so, it will pass through point (5, -5) too

now, just plot the points (0 , -7) and (5 , -5) and join them.

2. b) equation of line is :

[tex]y = - 3x + 5[/tex]

here, y - intercept = 5

so the line passes through point (0 , 5)

now, Plugging the value of x = 1 we get :

[tex]y =( - 3 \times 1) + 5[/tex]

[tex]y = - 3 + 5[/tex]

[tex]y = 2[/tex]

so, the given line passes through point (1 , 2)

plotting the points, we can get our required line.

The equation of line j is y =-5/8x+4/9. Line k is parallel to line j. What is the slope of line k?

Answers

Answer:

using the formula

y= mx+ c

comparing these;

m= -5/8

when two lines are parallel they are always equal

so the slope of line k= -5/8

Step-by-step explanation:

PLS MARK BRAINLIEST

Solve 3x + 5 = 10 for x.

Answers

Answer:

x = 5/3

Step-by-step explanation:

Solve for x:

3 x + 5 = 10

Subtract 5 from both sides:

3 x + (5 - 5) = 10 - 5

5 - 5 = 0:

3 x = 10 - 5

10 - 5 = 5:

3 x = 5

Divide both sides of 3 x = 5 by 3:

(3 x)/3 = 5/3

3/3 = 1:

Answer:  x = 5/3

Answer:  x = ⁵/₃

Step-by-step explanation:

To solve for x, make it the subject of the equation and simplify:

3x + 5 = 10      [subtract five from both sides]

     3x = 5        [divide both sides by three]

       x = ⁵/₃

A plumber charges $75.00 each hour she works at your house and a $130.00 fee for the visit. At most it will take her is 4 hours to do the work.

Answers

she would charge 430$

what is 200x350+23-7

Answers

Answer:

70,016

Step-by-step explanation:

PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)

for this problem, we have to multiply first!

1) 200 x 350 = 70000

now we have ------> 70,000 + 23 - 7

we just have to work left to right

2) 70,023 - 7

3) 70,016

let me know if you have any other questions!

1 basic algebreh im sloe hlp me

Answers

Answer:

-11

Step-by-step explanation:

it just is ok im smart

Answer:

-11

Step-by-step explanation:

bc yes

5 right triangles are shown. Triangles 1, 2 and 4 have identical side lengths and angle measures. Triangle 4 is shifted down and to the right of triangle 1. Triangle 2 is rotated 180 degrees from triangle 1. Triangle 3 has a shorter base length measurement. Triangle 5 is larger than triangle 1.
Which figure is a translation of figure 1?

Figure
4

Answers

Answer:

DILATION

Step-by-step explanation:

5 right triangles are shown. Triangles 1, 2 and 4 have identical side lengths and angle measures. Triangle 4 is

Answer: 4

Step-by-step explanation: i hope this helps :)

A
B
How many degrees must
Figure A be rotated
counterclockwise around
the origin in order to line
up with Figure B?
A. 90
B. 180
C. 270
D. 360

Answers

Answer:

[tex]\boxed{Hiya!}[/tex]

[tex]\text{My Answer would be A. 90}[/tex]

Step-by-step explanation:

If you Look at the shape closely We can see that it is a right triangle (Figure A)

and Figure B is turned upside down. So if we turn the right angle counterclock wise 90° We would end up with (Figure A) looking the same as (Figure B)

12. Zachary Tylar 72% commission? earns commission on sales of $4,255. What is his commission ​

Answers

Answer:

$3063.6

Step-by-step explanation:

72% of $4,255 = $3063.6

The formula for finding percents is number x percent ÷ 100.

4,255 x 72 ÷  100 = 3063.6

HERE IS ANOTHER ONE WHERE YOU WILL GET 40 POINTS IF YOU ANSWER IT CORRECTLY. THE ONES THAT ARE IN GREY ARE THE ANSWER OPTIONS.

Answers

Answer:

Option A is the correct answer

help me please !!!!!!!!!!

Answers

1) 2m-1=3m

2) 2m=1+m

3) 3= 1+m

4) -2+m=1

5) 2+m=3

6) m-1=2

Hope this helped you- have a good day bro cya)

Why is everything so fast

Answers

Answer:

Because your mind make you think that

Answer: Time doesn't wait for you

put these fractions in order from least to greatest

6/11 1/8 8/12​

Answers

Answer:  6/11 1/8 8/12​

Step-by-step explanation:

Which of these inequalities expresses all of the solutions to 4 <= 8-2x<6

Answers

Answer:

1 < x ≤  2

4 ≤ -2(x-4) < 6

Number line see attached.  x = 2

Step-by-step explanation:

4< = 8-2x < 6

4 ≤ -2(x-4) < 6

1 < x ≤  2

In 5 games, a footballer scores: 1 2 1 3 0 What is the median? What is the range?

Answers

Answer:

Median= 1

Range=  2

Step-by-step explanation:

Median is the middle number, 1

The Range is the highest number subtracted from the lowest number (3-1)

Suppose the water level of a river is 34 feet. It recedes 1/2 foot a day. What is the equation you could use to calculate the water for a specific day?

Answers

[tex]Answer : 34-\dfrac{1}{2} n \ \ ; \ \ \rm where \ n \ is \ the \ number\ of \ days[/tex]

Answer:

f(x) = -1/2x + 34

Step-by-step explanation:

This is a linear relationship.

Using the slope intercept form:

y = mx + b

Given:

The y-intercept is b = 34The slope is m = -1/2

The equation is:

f(x) = -1/2x + 34, where x is the number of days

someone please explain how to do the last one. I don’t want the answer, i just need to learn how to do it:) please help with m

Answers

Answer:

m∠y = 50 (Due to A)

m∠x = 50 (Due to F)

Step-by-step explanation:

Due to corresponding angles,

x = y = 50

Also, another thing... You wrote 60 degrees as your answer for the first part, you did a slight miscalculation.

180 - 130 = 50

So the answer for the first part is 50 degrees. However, the reasoning is correct!

Feel free to mark this as brainliest!

HELP WILL MARK YOU BRAINLIEST, PLS I NEED ASAP

Answers

Answer:

Pizza 1: lenght(l)=16 and width(w)=4

Perimeter=40in.

Pizza 2: l=32 and w=2

Perimeter=68in.

Step-by-step explanation:

1. List down factors of 64.

64=1,2,4,8,16,32,64

2. Select the factors you'll be using to draw your rectangles. In this case I selected the factors 2,4,16 and 32 because area of rectangle=l×w. Therefore 2×32=64 and 4×16=64.

3. Draw your rectangles according to the measurements you chose. If the drawing is too big to fit the box you can simply use a scale. Such as 1 inch=4 inches on your drawing. For example, when drawing the length of the second Pizza which is 32in. you can simply draw a line of 8 inches.

4. After drawing your pizzas you niw have to find the Perimeter of both. Simply use the formula Perimeter of a rectangle=2(l+w)

Pizza 1: Perimeter=2(16+4)

=2×20

=40in.

Now do the same for Pizza 2 using its own lengjt and width. Hope this helped.

arrange _2 1/2,5 1/2,3 1/2,1 1/2,_1/2in order of increasing size to give a sequence and find the rule which gives the sequence​

Answers

626828282828288w8282

OMG please help me! Please!

Answers

Answer:

(2,4)

X always comes before Y. So the X is 2 and the Y is 4, so (2,4).

0.5 of what number is 12 and what is the equation to represent this problem? Include a variable

Answers

.5 means half. 12 x 2 is 24. so, your equation would be x/2=12

look at the following numbers: -5, -6, 0, 6 Which pair of numbers has a sum of zero

Answers

Answer:

6 and -6 because the positive 6 equals out the negative 6.

Other Questions
Which diagram or diagrams represent a compound? Suppose you purchase a new tablet computer you bring it home and follow the instructions to make sure it's fully charged but as you are charging it the charging port begins to produce smoke. Which right protects your purchase. The scientist who is famous for his work on natural selection is ___________. Cuando se indica el reposo solve each proportionhow do you do this? What is the one piece treasure? Which situation best illustrates the principle of the rule of law? PLEASE HELP PLEAAE HURRY ANS NO LINKS PLEASE I REALLY NEED THE ANSWER How did Lavoisier's study of combustion prove that fire was not an element? Why is it useful for historians to base certain studies on the analysis ofhistorical themes?O A. The same themes apply to people living in very different times andplacesB. All the cultures in a particular region respond to historical themesin the same way.C. There are fewer historical themes than there are regions orperiods.D. Experience has confirmed that analyzing themes is the mosteffective approach to history. Find the sum of the all the multiple of 3 beta between 100 and 301 conclusives which are multiples of 3. Which word has a root that means written?Group of answer choicesD. compositionC. primevalB. equationA. cryptogram Solve for z: 32=12+4(z-1) Explain how a limited and unlimited government can influence therights of the people andthe strength of the economyRespond in at least four sentences. who led the progressive movement in wisconsin, where he served as governor? i need help what is the answer Creating and distributing a questionnaire is a tool to _____. Which music business department is responsible for setting up andmanaging artist tours?A. SalesO B. MarketingO C. Artist developmentO D. Promotion Differentiate liquid crystals from pure liquids and crystalline solids. (Answer this question correctly and I will give the first correct answer brainliest) PLEASE ANSWER SO I DONT FAIL THIS Copy Z DEF to the line so that S is thevertex.This task will be complete when you haveconstructed an angle with vertex S that iscongruent to ZDEF..