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

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Related Questions

find f(x)=x^2-x^3,find f(-10)

Answers

Answer:

f(-10) = 1,100

Step-by-step explanation:

f(-10) = (-10)^2 - (-10)^3

= 100 - (-1000)

= 1,100

One week, Sharon worked 18 hours as a lifeguard and 12 hours at a concession stand and earned $228. The next week, she earned $254 for 24 hours as a lifeguard and 8 hours at the concession stand. How much per hour does she get paid for each job?

Answers

Answer:

She is paid $6.25.hour at the concession and $8.50 as a lifeguard.

Step-by-step explanation:

We know:

18 hours as a lifeguard

12 hours at concession

Total earned = $228

18L + 12C = 228

Then:

24 hours as a lifeguard

8 hours at concession

Total earned = $254

24L + 8C = 254

Move one equation around to get one variable by itself: in this case we can solve for L:

18L + 12C = 228

18L = 228 - 12C

L = (228/18) - (12/18)C

Plug in for L:

24((228/18) - (12/18)C) + 8C = 254

Solve for C:

C = 6.25

Now that we know C, plug in value for C and solve for L:

18L + 12(6.25) = 228

L = 8.5

So she is paid $6.25.hour at the concession and $8.50 as a lifeguard.

LCD of the fractions below

1/3 And 5/8

Answers

Answer:

24

Step-by-step explanation:

LCD = 24

Equivalent Fractions with the LCD

1/3 = 8/24

5/8 = 15/24

what's the distance between each pair of points R(0,5), S(12,3)

Answers

Answer:

square root of 369

Step-by-step explanation:

HELP PLSSS THIS IS HARD SOMEONEEE

Answers

It would be the third one

headache
exhausted
less
patrick

Answers

Answer:

Step-by-step explanation:

c is correct.  To verify this, look at the point (4, 4) on the black graph.  For the same x value (4), we have on the red graph the point (4, 2).  If we now look at this point (4, 2) on the red graph we see that the y-value (2) is half that of the point (4, -4) on the black graph:  f(x) = (1/2)y

How are SSS and SAS similarity theorems different from one another? *

Answers

Answer:

when two triangles are said to be similar by SSS theorem, these 2 triangles not only have 3similar sides, but also the same 3 angles. on the other hand if they're said to be similar SAS theorem, it's highly unlikely they will have all three same Angles.

hope this helped

What represents the recursive formula for the arithmetic sequence an=7-3(n-1)

Answers

Answer:

[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} - 3 && \text{for $n \ge 1$}\end{aligned}\right.[/tex].

Step-by-step explanation:

An arithmetic sequence could be defined using only two pieces of information:

The first term of this sequence, [tex]a_{1}[/tex].The common difference between two consecutive terms of this sequence, [tex]d[/tex].

The arithmetic sequence in this question is given in the explicit form, [tex]a_{n} = 7 - 3\, (n - 1)[/tex], which is equivalent to [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]. In the explicit form, [tex]a_{1}[/tex] and [tex]d[/tex] are described in the same equation:

[tex]\text{$a_{n} = a_{1} + d\, (n - 1)$ for $n \ge 1$}[/tex].

Compare [tex]a_{n} = a_{1} + d\, (n - 1)[/tex] with [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]: [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex].

When an arithmetic sequence is given in the recursive form, [tex]a_{1}[/tex] and [tex]d[/tex] are specified in two separate equations:

[tex]\left\lbrace\begin{aligned}& a_{1} = a_{1} \\ & a_{n+1} = a_{n} + d && \text{for $n \ge 1$}\end{aligned}\right.[/tex].

In this question, it was found that [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex]. Hence, the corresponding recursive formula for this arithmetic sequence would be:

[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} + (-3) && \text{for $n \ge 1$}\end{aligned}\right.[/tex].

In the equation y= 2 + 7, what is the value of y when the value of x is 26?

Answers

Answer:

I think

the value of y will be -24

..... when the value of x is 26

billy started a paper route with 21 customers. if he adds 3 new customers every week, how many weeks will it take to double the number of customers on his route.

Answers

Week 1 - 21
Week 2 - 24
W3 - 27
W4 - 30
W5 - 33
W6 - 36
W7-39
W8-42

It will take him 8 weeks

Answer:

It will take billy SEVEN weeks

Step-by-step explanation:

It will take Billy seven weeks because 3 x 7 = 21

A girl starts from Point A and walks to 285m to B on a bearing of 078°. She then walks due south to a point C which is 307m from A. What is the bearing of A from C and what is IBCI​

Answers

Answer:

bearing of A from C is - 65.24°

the distance |BC| is 187.84 m

Step-by-step explanation:

given data

girl walks AB = 285 m (side c)

bearing angle B = 78°

girl walks AC = 307 m (side a)

solution

we use here the Cosine Law for getting side b that is

ac² = ab² + bc² - 2 × ab × cos(B)     ...............1

307² = 285² + x²  - 2 × 285 cos(78)

x = 187.84 m

and

now we get here angle θ , the bearing from A to C get by law of sines

sin (θ) =

sin (θ) =  0.5985  

θ = 36.76°

and as we get here angle BAC that is

angle BCA = 180 - ( 36.76° + 78° )

angle BCA = 65.24°

and here  negative bearing of A from C so - 65.24°

Step-by-step explanation:

A community collage predicts that 2 out of 12 of the current students will become a nurses if that predicts is true how many students out of 1566 will be come nurses

Answers

I think the answer would be 130.5

Please help I really need it!

Answers

The rate of change is 2/3

rise = 2

run = 3

rise/over = 2/3

Answer: 2/3 is gonna be your answer. Trust me I have done this exact

g o o g l e form before!

Step-by-step explanation:

What are four decimals that are in between 0.45 and 0.46?

Answers

Answer:

[0.45(many 0's)1] through [0.459] repeating 9

Step-by-step explanation:

All these numbers fall in between 0.45 and 0.46. So if you were to draw out a number line you can find all the answers in between, example being: 0.456, 0.45897, etc.

The decimal numbers are given as 0.451, 0.452, 0.453, and 0.454 respectively.

What is a Decimal number?

A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.

The given decimal numbers are 0.45 and 0.46.

In order to write the numbers between them, write the given decimals up to 3 places as follows,

The numbers are 0.450 and 0.460.

The four decimals between them are as follows,

0.451, 0.452, 0.453, and 0.454.

Hence, the four decimals that lies between 0.45 and 0.46 are given as 0.451, 0.452, 0.453, and 0.454 respectively.

To know more about decimal number click on,

brainly.com/question/4708407

#SPJ2

What is 30474x484 and then that divided by 47

Answers

Answer:

313817.3617

Step-by-step explanation:

30474*484 = 14749416

14749416/47 = 313817.3617

Answer:

3687354

Step-by-step explanation:

30474x484 = 14749416

14749416 divided by 4 is 3687354

There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer?theses are the answers you chose froma: correct ratiob:7:8c: 5;8d: 8:7

Answers

Answer:

No, Emma is not correct.

Step-by-step explanation:

because if we put 35 and 42 in rational form we can write it to its simple form by dividing it

35 / 7 = 5

42 / 7 = 6

after dividing we get the answer as 5:6.

Hope it helps ☺️

If a girl says she likes you but then throws a moldy apple at ur head then laughs abt it and then say she was messing does she really like ya

Answers

13523273748164828482747264

nooooooooo yuppp

lablots

Simplify the expression.

options:

33

38

34

39

Answers

Step-by-step explanation:

the answer is

[tex] {3}^ {9} [/tex]

the explanation is that {3^3}^4 = 3^12

and 3^12 x 3^2 / 3^ 5 = 3^9

pls help will mark brainliest

solve the system using a matrix.

Answers

Answer:wertyuiop[]\]

';lkjhgfd

Step-by-step explanation:

What is a rule that describes the translation that maps triangle ABC onto triangle A'B'C'?
A.T< 5, 3 >(ABC)
B. T< −5, 3 >(ABC)
C. T< 5, −3 >(ABC)
D. T< −5, −3 >(ABC)

Answers

Answer:

the answer is D.

Step-by-step explanation:

I took the test and got it right!

pls pls pls help me with this

Answers

Answer:

h=3

Step-by-step explanation:

divided the 21 by the 7

Help i don't get it. I've been trying

Answers

Answer:

JK = 42 , KL = 78

Step-by-step explanation:

JK + KL = JL , substitute values

4x + 6 + 7x + 15 = 129 , that is

11x + 21 = 120 ( subtract 21 from both sides )

11x = 99 ( divide both sides by 11 )

x = 9

Then

JK = 4x + 6 = 4(9) + 6 = 36 + 6 = 42

KL = 7x + 15 = 7(9) + 15 = 63 + 15 = 78

Patty rides her bike 2 3/4 miles to school. She rides 3 5/6 miles to get back home, because she needs to meet her brother at school first. How many miles does Patty ride her bike? Explain how you know that your answer is reasonable.

Answers

Answer:

6 7/12 miles

Step-by-step explanation:

Explanation: The total miles she rides is the miles she rides to school + the miles she rides back

Step 1: Convert both mixed numbers into fractions.

2 3/4 = 11/4

3 5/6 = 23/6

Step 2: Find GCF by multiplying both fractions by opposing denominators

11/4 = 66/24    (11 * 6 = 66, 4 * 6 = 24)

23/6 = 92/24    (23 * 4 = 92, 6*4=24)

Step 3: Add both fractions

92/24 + 66/24 = 158/24

Step 4: Simplify

158/24= 79/12 = 6 7/12 miles


Find three consecutive integers whose sum is -30?

Answers

Answer:

-10 + -10 + -10 = -30

Step-by-step explanation:

please give brain award

Raven is making pillows. Each pillow requires 3/5 yard of fabric. Raven has 6 yards of fabric. Use the number line to find 6 ÷ 3/5, the number of pillows Raven can make


A: 10 pillows

B: 6 pillows

C: 5 pillows

D: 3 pillows

Answers

Answer:

A: 10 pillows

Step-by-step explanation:

Conventional way:

Turn 6 into 6/1.

6/1 ÷ 3/5

Answer: 10

-kiniwih426

The speed (v) of a gear varies inversely as the number of teeth (t). If a gear that has 48 teeth makes 20 revolutions per minute, how many revolutions per minute will a gear that has 30 teeth make?

I'll give Brainliest! Please no links

Answers

Answer:

32 revolutions per minute(rpm)

Step-by-step explanation:

v inversely proportional to t

so if v increases t will decrease and vice versa

inverse equation is xy=k

xy=k

48×20= 960 (revolutions)

then you'll take k(960) and divide it by number of teeth

so..

960/30 = 32 revolutions per minute

Can you help me please.​

Answers

what do you want us to do with the equation? evaluate it? solve for X? solve for y? if you don't tell us then we cannot solve it

Step-by-step explanation:

you never really specified what you want us to do with the equation

True or False: In order to solve an equation, we must isolate the variable.

Answers

the answer is false. in order to solve an equation you must reverse the operations acting on the variable

What is the value of 32.5 ÷ 4.5 × − 4.5 , written as a decimal?
giving brainly

Answers

Answer:

-32.5 hope this helps:)

The answer is (-32.5)

The 4.5 both cancel each other out

NEED THIS ASAP PLEASE HELP
The variables x and y in the figure represent the measures of angles.

Solve for x and y.

Answers

Answer:

y=45  x = 63

Step-by-step explanation:

ill type it if u need it

x= 90-27
x=63

2y=90
y=90/2
y=45
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