The high school theater is putting on a production of their annual shows. The first night they brought in $4200. They are charging $8 for each adult ticket and $5 for each student ticket. The theater seats 800 people but due to the pandemic they can only havd 75% capacity. How many students and adult tickets did they sell?

PLEASE HELP
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Answer:

Step-by-step explanation:

to find out t, we divide by 3 both sides

-2/3=t

t=-2/3

Answer:

A)The required linear demand equation ( q ) = -4500p + 41500

B) $4.61

   $95680.55

C) No it would not have been possible by charging a suitable price

Step-by-step explanation:

A)  find the linear demand equation

given two points ; ( 3, 28000 ) and ( 5, 19000 )

slope ( m ) = ( y2 - y1 ) / ( x2 - x1 )

                 = ( 19000 - 28000 ) / ( 5 - 3 )  = -4500

slope intercept is represented as ; y = mx + b

where y( 28000) = -4500(3) + b

  hence b = 41500  

hence ; y = -4500x + 41500

The required linear demand equation ( q ) = -4500p + 41500   ----- ( 1 )

p = price per ride

B ) Determine the price the company should charge to maximize revenue from ridership  and corresponding daily revenue

Total revenue ( R ) = qp

                               = p ( -4500p + 41500 )

  hence R = -4500p^2 + 41500p  ------ ( 2 )

To determine the price that should maximize revenue from ridership we will equate R = -4500p^2 + 41500p  to a quadratic equation R(p) = ap^2 + bp + c

where a = -4500 ,  b = 41500 , c = 0

hence p = [tex]-\frac{b}{2a}[/tex]  = [tex]- \frac{41500}{2(-4500)}[/tex] =  4.61

$4.61 is the price the company should charge to maximize revenue from ridership

corresponding daily revenue = R = -4500p^2 + 41500 p

where p = $4.61

hence R = -4500(4.61 )^2 + 41500(4.61) = $95680.55

C) No it would not have been possible by charging a suitable price

Answer:

5.26%

Step-by-step explanation:

Danielle measured the the mass at 40grams. ,Compared to 38 grams, there is a percentage increase.

Old Value = 38grams, New Value = 40grams

%Increase = 40-38/38 × 100%

%Increase = 5.26%

Answer:

it's 14,000

Step-by-step explanation:

(sea level means 0)

Answer: 2.75(3) + 4x = 11.25

Step-by-step explanation:

It says each bag costs $2.75 and there are 3 bags so multiply those 2 and then subtract them from the total cost (11). What you get after you subtract is the total costs of the salsa so divide that by 4 to get the cost of each, in this case it doesn't ask so we leave it as 4x.

The person whose water is saltier is Jack's water.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Jack adds 1 tsp of salt to 3 tsp of water.

This means,

3 tsp of water = 1 tsp of salt

Divide both sides by  3.

1 tsp of water = 1/3 tsp of salt

1 tsp of water = 0.33 tsp of salt ____(1)

Mika adds 4 tsp of salt to 9 tsp of water.

9 tsp of water = 4 tsp of salt

Divide both sides by 9.

1 tsp of water = 4/9 tsp of salt

1 tsp of water = 0.0092 tsp of salt ____(2)

From (1) and (2) we see that,

Jack's water is saltier.

Thus,

Jack's water is saltier.

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Answer:

k = 1.87

Step-by-step explanation:

Given that,

An expression 45k = 84

We need to find the value of k.

It can be calculated as follows :

Divide both sides by 45,

[tex]\dfrac{45k}{45} = \dfrac{84}{45}\\\\k=1.87[/tex]

So, the value of k is equal to 1.87.

Answer:

I don't have a life.....

Answer:

I am an Undertale trash. so this is my life.

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Hi there! You’re correct.

Twice the difference of nine and a number squared would look like

[tex]2(9-n^2)[/tex]

I hope this helped! :)

Step-by-step explanation:

let 4x

6x

and x be the ratio

now

6x+4x+x=60

10x=60

x=60/10

x=6

again

6x

6×6

36

4x

4×624

and

x=6

Answer:

C: Quadrant III

Step-by-step explanation:

Have a good day. Their is your answer :D.

Answer:

67

Step-by-step explanation:

a circle = 360

133 + 133 = 266

360 - 226 = 134

134 ÷ 2 = 67

Answer:

is 60

Step-by-step explanation:

Answer:

= 1/2 tan^(-1)(2 cot(x)) + constant

Step-by-step explanation:

Take the integral:

integral1/(3 sin^2(x) - 4) dx

Multiply numerator and denominator of 1/(3 sin^2(x) - 4) by -sec^2(x):

= integral-(sec^2(x))/(4 sec^2(x) - 3 tan^2(x)) dx

Prepare to substitute u = tan(x). Rewrite -(sec^2(x))/(4 sec^2(x) - 3 tan^2(x)) using sec^2(x) = tan^2(x) + 1:

= integral-(sec^2(x))/(tan^2(x) + 4) dx

For the integrand -(sec^2(x))/(tan^2(x) + 4), substitute u = tan(x) and du = sec^2(x) dx:

= integral-1/(u^2 + 4) du

Factor out constants:

= - integral1/(u^2 + 4) du

Factor 4 from the denominator:

= - integral1/(4 (u^2/4 + 1)) du

Factor out constants:

= -1/4 integral1/(u^2/4 + 1) du

For the integrand 1/(u^2/4 + 1), substitute s = u/2 and ds = 1/2 du:

= -1/2 integral1/(s^2 + 1) ds

The integral of 1/(s^2 + 1) is tan^(-1)(s):

= -1/2 tan^(-1)(s) + constant

Substitute back for s = u/2:

= -1/2 tan^(-1)(u/2) + constant

Substitute back for u = tan(x):

= -1/2 tan^(-1)(tan(x)/2) + constant

Which is equivalent for restricted x values to:

Answer: = 1/2 tan^(-1)(2 cot(x)) + constant

Answer: 4

Step-by-step explanation:

16 - 12

Answer:

 = 4

Step-by-step explanation:

Answer:

0.61 or 61 %

Step-by-step explanation:

Answer:

0.61

Step-by-step explanation:

0.39 is also 39%, the highest probability is always 100% unless it says otherwise, so our equation is:

1 - 0.39 = 0.61

So the probability of getting a head is 0.61 or 61%

Answer:

yes

Step-by-step explanation:

Answer:

The formation of ∆ is possible .

Step-by-step explanation:

Three sides of triangle are given which are 10 , 7 & 15. And we need to determine whetherwecanmake a triangle with these three sides or not . So we know that ,

" Sum of any two sides of a triangle is Greater

than the third side "

Let ,

Here we will see by three cases. And the formation of triangle will be possible if and only of all the three cases are possible.

So , let's check ,

Case 1:-

→ a + b > c

→ 10 + 7 > 15

→ 17 > 15

Case 2:-

→ b + c > a

→ 7 + 15 > 10

→ 22 > 10

Case 3 :-

→ a + c > b

→ 10 + 15 > 7

→ 25 > 7

Since all the three cases are true Hence formation of ∆ is possible.

Answer:

Brooks answer is incorrect because he should not shift the brackets to other numbers. First he should distribute number 2 to be multiplied to each number inside the bracket

Answer:

B         [tex](f-g) (x)= \sqrt{\frac{x} {8} } -\frac{2}{x} +6[/tex]

Step-by-step explanation:

[tex]f(x)= \sqrt{\frac{x} {8} } +11[/tex] ------------------(1)

[tex]g(x)=5+\frac{2}{x}[/tex] -----------------------(2)

Subtracting eq (2) from eq (1)

[tex]f-g= \sqrt{\frac{x} {8} } +11 - (5+\frac{2}{x} )[/tex]

[tex]f-g= \sqrt{\frac{x} {8} } +11 - 5 -\frac{2}{x}[/tex]

[tex]f-g= \sqrt{\frac{x} {8} } -\frac{2}{x} +6[/tex]

Yes because in it's the same variable do it will give the same answer

Answer:

9/5, since it says ratio, you don't change it into a mixed number

Step-by-step explanation:

18/10= 9/5

Answer:

A is for apple

Step-by-step explanation:

abc

Answer:

The answer is A) 98.

Step-by-step explanation:

   Rex has to score 98 marks in his fourth exam to obtain a grade A in the course.

Total marks in four exams = 100 + 100 + 100 + 100 = 400

Marks required for an A (90%) in four exams = 90% of 400

                                                                          = [tex]\frac{90}{100}\times 400[/tex]

                                                                          = 360

Rex scores in Ist, 2nd and 3rd exam = 84, 86 and 92

So the score to be obtained in 4th exam for an A = 360 - (84 + 86 + 92)

                                                                                   = 98

       Therefore, Rex has to score 98 marks in 4th exam to get a grade A.

Learn more about the average marks in a exam here,

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Answer: Most probably g-6.

Step-by-step explanation:

subtract g-5-1

the total price of the catering company's order was $198.

To discover the total value of the order, we need to multiply the kilos of every type of meat via its respective cost in keeping with pound and then add those products together.

For the chook:

15 pounds x $2 per pound = $30

For the beef:

21 kilos x $4 per pound = $84

For the lobster:

7 pounds x $12 per pound = $84

Now, we add up the costs of each form of meat to find the total cost of the order:

$30 + $84 + $84 = $198

Consequently, the whole price of the catering company's order was $198.

Learn more about multiplication:-

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Answer: your mom

Step-by-step explanation:

Answer:

Timothy Simon Spicer was born in  1952. He is a retired British Army officer and was once a chief executive officer of the private security company Aegis Defence Services. He is a veteran of the Falklands War and also toiled with the British Army within the borders of Northern Ireland.

Step-by-step explanation:

hope this helps :)

Answer:

0.00137

Step-by-step explanation:

Answer:

Find the GCD (or HCF) of numerator and denominator. GCD of 9 and 3 is 3.

9 ÷ 33 ÷ 3.

Reduced fraction: 31. Therefore, 9/3 simplified to lowest terms is 3/1

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 9 and 3 is 3.

9 ÷ 33 ÷ 3.

Reduced fraction: 31. Therefore, 9/3 simplified to lowest terms is 3//

Answer:thx for th e fre points

Step-by-step explanation:

b and the answer would be -200z