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?

Answer:

I am going to answer using calculus. Let me know if you instead were looking for an algebraic method. Take the definite integral from 3 to 6 of xdx. [x^2/2]3 to 6= 18-(9/2)= (36-9)/2= 27/2. The area is 27/2

Answer:

38%

Step-by-step explanation:

38% of 250 = 95

How to solve it:

[tex]\frac{38 * 250}{100} =95[/tex]

Step-by-step explanation:

10-(-2) = 10+2 = 12.

hope this helps you.

Hello there!

10-(-2)=10+2=12

Hope this helps you!

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Comment:

Please mark Brainliest and hope it helps you! :)

Answer:

56

Step-by-step explanation:

First, copy the given expression. Then replace p with 4. Then evaluate the expression.

3p^2 + 8 =

= 3(4^2) + 8

= 3(16) + 8

= 48 + 8

= 56

Answer:

before: unable to own property, too delicate to do sports, unequal to men

after: able to attend college, could earn money from work, had a voice in government

Step-by-step explanation:

Answer:

1, 2, and 5

Step-by-step explanation:

[tex]\sf \large \boldsymbol {} 1) \ (4^0)^6= 4^{0\cdot 6}= 4^0\neq 4^6 \ False \\\\\\ 2) \ \dfrac{3^8}{3^{-2}} =3^{8-(-2)}=3^{8+2}=3^{10} \ \ True \\\\\\ 3) \ 2^{-5}\cdot 2^3=2^{-5+3}=2^{-2}=\dfrac{1}{2^2} \ \ True \\\\\\ 4) \ 6^4\cdot 3^4=(6\cdot 3)^4=18^4\neq 18^8 \ \ False[/tex]

Answer:

false, true, true, false

Step-by-step explanation:

(4^0)^6=1 is not equal to 4^6=4096

3^8/3^-2=59049 is equal to 3^10=59049

2^-5*2^3=0.25 is equal to 1/2^2=1/4=0.25

6^4*3^4=104976 is not equal to 18^8=11019960576

hope this helps!

Step-by-step explanation:

[tex] (2x^2+11x+5)(x-3)[/tex]

Answer:

4*10^7

Step-by-step explanation:

If it is a single digit then round up the number

7 represents the number of spaces the decimal travels to make the given number a single digit.

Answer:

N=12

Step-by-step explanation:

Answer:

Use the given functions to set up and simplify  (2y+3)−5xy+7x

x =

(2y+3)−5xy+7x=−5xy+7x+2y+3

Answer:

x = 3

Step-by-step explanation:

40+ 46x + 2 = 180 degrees

46x = 180 - 42

x = 3

Answer:

46x+2°+40°=180° (adj angles on a str line)

46x+42°=180°

46x=180°-42°

=138°

x=138÷46

=3

Answer: [tex]\frac{170}{X}[/tex]+[tex]\frac{170}{X-9}[/tex]=2

(=)17 0x +170x+1530=2x²+18x

(=)-2 x² +322x+1530=0

Δ=b²-4ac

Δ=115924

[tex]\sqrt{}[/tex]Δ=340,476>0

because Δ>0 so that 2 X

=>x₁=2 (true), x₂=-161(false)

X+9= 2+9=11

first travel 2 mi/hr

second travel 11 mi/hr

Step-by-step explanation:

Answer:

v = 69°

Step-by-step explanation:

180 - 42 = 138

138 ÷ 2 = 69

Answer: i think is d not sure tho

Step-by-step explanation:

Answer:

52 square feet.

Step-by-step explanation:

length*width=area

Top rectangle = 4ft*5ft = 20sq.ft

Bottom rectangle = 4ft*8ft = 32sq. ft

20+32=52 sq.ft OR (4*5)+(4*8)=52sq.ft

Answer:

93

Step-by-step explanation:

Direct proportion.

If 28 out of 30, how many out of 100?

(30*100)/28= 93.3333

Answer:

D = x >/ -4

R = 2

Step-by-step explanation:

The required numbers are 22,24,26.

If there had been a 2% decrease in total receipts, the new deficit would be $361.08 billion.

If there had been a 2% decrease in total receipts, the new total receipts would be:

New total receipts = $2154 billion - (2% of $2154 billion)

New total receipts = $2154 billion - $43.08 billion

New total receipts = $2110.92 billion

The total outlays would remain the same at $2472 billion.

So, the new deficit would be:

New deficit = New total outlays - New total receipts

New deficit = $2472 billion - $2110.92 billion

New deficit = $361.08 billion

Therefore, if there had been a 2% decrease in total receipts, the new deficit would be $361.08 billion.

To know more about an expression follow

https://brainly.com/question/30255880

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Answer:

✔ Multiplication property of equality

[tex] \hookrightarrow \: { \rm{ \frac{x}{3} = - 4}} \\ \\ \dashrightarrow \:{ \tt{apply \: the \: property}} \\ \\ { \rm{(3 \times \frac{x}{3}) = - 4 \times 3 }} \\ \\ { \rm{x = - 12}}[/tex]

Answer:

6

Step-by-step explanation:

6 devide 2 is 3. 3 plus 3 is 6

Answer:6

Step-by-step explanation: It is solved by BODMAS

BODMAS is a code which means

B= brackets

O=of(*)

D=division

M=multiplication

A=addition

S=subtraction

So first of all 6 divide by 2 then add 3 you will get answer 6

Answer:

3 times

Step-by-step explanation:

Answer:

3.95m + 8.95b = 47.65

Step-by-step explanation:

Since Hugh paid $3.95 for every magazine, m would be multiplied by 3.95

Since he also paid $8.95 for every book, b would be multiplied by 8.95

All of this will eventually add up to a sum of 47.65

Answer:

128°

Step-by-step explanation:

[tex]x + 52 = 180\\180 - 52 = 128\\x = 128[/tex]

Answer:

There is no question given so how is there an answer?

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Answer:

PLEASE MARK BRAINLIEST

Step-by-step explanation:

a+2= b

5a - 8 =2b

a= b- 2

since(a= b- 2)

5(b-2) -8 = 2b

5b -10 - 8 = 2b

3b -18 =0

3b=18;b=6

since b =6

a= 6-2 ; a= 4