Based on past musical productions, a theater predicts selling 400−8p number of tickets when each ticket is sold at p dollars. Using the table from the last question answer the following questions:

1. For which ticket prices will the theater earn no revenue? Explain how you know.


2. At what ticket prices should the theater sell the tickets if it must earn at least $3,200 in revenue to break even (to not lose money) on the musical production? Explain how you know.

Answer:

{x,y}={60,35}

Step-by-step explanation:

// Solve equation [2] for the variable  x

 [2]    x = y + 25

// Plug this in for variable  x  in equation [1]

  [1]    (y +25) + y = 95

  [1]    2y = 70

// Solve equation [1] for the variable  y

  [1]    2y = 70

  [1]    y = 35

// By now we know this much :

   x = y+25

   y = 35

// Use the  y  value to solve for  x

   x = (35)+25 = 60

Answer:

x=57

y=38

Step-by-step explanation:

(1): x+y=95

(2): y=2/3x

substitute y=(2/3)x in equation (1):

x+(2/3)x=95

Multiply both sides by 3

3x+2x=285

5x=285

Divide both sides by 5

x=285/5

x=57

substitute x=57 in equation (2):

y=2/3×57=38

hence: x=57 , y=38

Answer:

Step-by-step explanation:

Givens

arc length DF = 30

pi = 3.14

Comment

The problem is that it looks to me like you have marked DF = 30. That's not what is given. What you are given is a part of the circumference is equal to 30.

Solution

The formula you should be using 100/360 * 2 * pi * r You should be solving for r.

30 = 100/360 * 2 * pi * r                 Multiply both sides by 360

30*360 = 100 * 2 * pi * r                Combine left and right

10800 = 200* 3.14 * r

10800 = 628 * r                              Switch Divide both sides by 628

628 * r/ 628 = 10800 / 628

r = 17.197

Answer

Area of the circle = pi*r^2

Area of the circle = 3.14 * 17.197^2

Area of the circle = 928.66 m^2

Answer:

easier to grade and to calculate average

Step-by-step explanation:

Answer:

Let the unknown number be x,

equation would be :- 3x - 15 = 36

Answer:

3h+4.50=15

We know that she skates for 3 hours, but we don't know the cost per hour so is the "h". He pays a start up $4.50 for the ice skates. And he spend $15 in total for ice skating.

Hopefully that helps. Have a great night! Or day!

Answer:

28(1 + 2t + w)

Step-by-step explanation:

This polynomial can be factored by factoring out 28.

28 + 56t + 28w = 28(1 + 2t + w)

Step-by-step explanation:

if I understand correctly, then we are mixing 7 cm³ of liquid A with 125 cm³ of liquid B to a liquid C.

A has a density of 1.42 g/cm³.

B has a density of x g/cm³.

the resulting C has a density of 1.05 g/cm³.

the first thing we see is the quantity of C :

C = A + B = 7 + 125 = 132 cm³

what "comes in" must also "come out" again.

there is no mentioning of a chemical reaction, that might cause a change of volume or mass of the mixture.

so, the whole is exactly the sum of its ingredients.

now about mass and density :

as also the mass (g) of the resulting C must be the same as the sum of the masses of A and B, we multiply the density by the quantity of every liquid to get the mass (g). and that is how we get then the missing density of B :

7×1.42 + 125x = 1.05×(7+125)

9.94 + 125x = 1.05×132 = 138.6

125x = 128.66

x = 1.02928 ≈ 1.03 g/cm³

Answer:

(2x+1)(x+7)

Step-by-step explanation:

Answer:

155

Step-by-step explanation:

There are 18 cameras that will be necessary to cover the entire store, the correct option is D.

A unitary method is a method by which we can find the value of one unit from the value of many units and the value of many units from the value of one unit.

Given

Marina wants to install security cameras in her store, which has dimensions 48 feet by 48 feet.

Each camera can view an area of approximately 128 ft2, with a viewing area shaped like a right triangle.

The distance between grid lines is 4 feet.

From the information given, the area of the store roof will be:

= 48 × 48 =  2304 ft²

The area viewed by the camera = 112.5ft²

The number of cameras that will be necessary to cover the entire store is;

[tex]= \dfrac{2304}{128}\\\\= 18[/tex]

Hence, there are 18 cameras that will be necessary to cover the entire store.

To know more about the unitary method click the link given below.

https://brainly.com/question/9337121

Answer:

There are 18 cameras that will be necessary to cover the entire store. .aka D

Step-by-step explanation:

Edge2023

Answer:

8.4

Step-by-step explanation:

42/5 = 8.4

Each value is multiplied by 8.4.

Have an amazing day!

PLEASE RATE!

Answer:

x = -11, y = -2

Step-by-step explanation:

There's two equations. Let's say the first number is x, and the second number is y. Then, there is 4y-3 = x, and 2y-x = 7. We plug in 4y-3 for x into the second equation, and we get 2y - (4y-3) = 7. Solving more gets us -2y + 3 = 7. thus, -2y = 4, meaning y = -2. We plug back into the second equation, getting -4 - x = 7. This 11 = -x, or x = -11.

Answer:

c. $13. 43

Step-by-step explanation:

Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance). R = Interest rate (usually per year, expressed as a decimal). N = Number of time periods (generally one-year time periods).

Answer:

30%

Step-by-step explanation:

percentage of the course she has ridden = 18/60 ×100

=0.3×100=30 %

You can fine the area of the figure by width times height

Answer:

second nap,second nap

Step-by-step explanation:

just took it on plato and got 100%

Answer:

50

Step-by-step explanation:

let x be the no of bicycles to be sold

125x = 4500 + 35x

125x-35x = 4500

90x = 4500

x = 50

to exactly match the expenditure, atleast 50 bikes have to be sold

Step-by-step explanation:

”. What this means is that there is less than a 5% probability that the results happened just by random chance, and therefore a 95% probability that a results reflects a meaningful pattern in human psychology. We call this statistical significance, and, statistically speaking, this is a pretty high standard

If this means that there is still a 5% chance those results are due to chance. This, combined with publication bias , are two main contributing factors to the reproducibility crisis.

When the results of research investigations affect whether or not they are published, it is known as publication bias.

It alludes to the propensity of academics, journals and other interested parties to publish studies with statistically significant or favourable outcomes while omitting or underreporting those with non-significant or unfavourable outcomes.distorted and incomplete.

Learn more about publication bias here:https://brainly.com/question/25877200

#SPJ3

Answer:

21 centimeters

Step-by-step explanation:

40 millimeters is 4 centimeters and 25-4 is 21.

Side Note: I used to have to do math iready but im in algebra now so not anymore.

Answer:

the answer is 15

Step-by-step explanation

Answer:

Step-by-step explanation:

Mean=((4+10+3+6+9+10+a)/7)=7

=>42+a=49

=>a=7Mean=((4+10+3+6+9+10+a)/7)=7

=>42+a=49

=>a=7

Answer:

a = 7

Step-by-step explanation:

Given:

7 is mean of 10,3,4,a,6,9,10

To Find:

Value of a

Solve:

Mean → [tex]\frac{(4+10+3+6+9+10+a)}{7}=7[/tex]

⇒ 42+a=49

Subtract 42 from both sides

x + 42 - 42 = 49 - 42

Simplify

⇒ a=7  

~Learn with Lenvy~

Answer:

number 1,2 and 3

hope it will help you.

if it is wrong then sorry

Answer:

Here's the correct answers for your queries.

But the last option is not correct because z° and y° do not collectively form 90° which is the complementary angle. And the values are also provided.

Therefore,

The Correct Answers Are:

√A

√B

√C

But not D.

Answer:

x^2+6x+9

Step-by-step explanation:

(x+3)^2

(x+3)(x+3)

x^2+3x+3x+9

x^2+6x+9

Answer:

x = 4

Step-by-step explanation:

In this equation, x is being cubed to equal 64. When x is being cubed, it means that x is multiplied by itself 3 times to get 64. Thus, we have to find which number to the power of three = 64.

Therefore, x = 4.

Equation: 3√64 = x

In case you needed it

This so happens to be a perfect cube

Cube = A number raised to the power of 3

1 x 1 x 1 = 1

2 x 2 x 2 = 8

3 x 3 x 3 = 27

4 x 4 x 4 = 64

So therefore, x = 4

Hope this helped you!

Answer:

(x + 4)

Step-by-step explanation:

5x³ + 40x² + 80x, x^4 - 256

5x ( x² + 8x + 16)

5x (x + 4) (x + 4)

x^4 - 256

a² - b² = (a + b) (a - b)

x² - 4² = (x + 4) (x - 4)

(x² + 16) (x + 4) (x - 4)

I hope this helps!

Answer:

7

Step-by-step explanation:

[tex]f(x) = x^{2} + 6[/tex]

[tex]f(-1) = (-1)^{2} + 6\\f(-1) = 1 + 6\\f(-1) = 7[/tex]

Answer:

3/13

Step-by-step explanation:

number of balloons that are green AND shaped like a dog (3) over the TOTAL number of balloons (13)