The drama club is selling tickets to their play to raise money for the show's expenses:

Each student ticket sells for $5 and each adult ticket sells for $7.50

The auditorium can hold no more than 75 people.

The drama club must make a minimum of $450 from ticket sales to cover the show's costs.

If x represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

The Drama Club Is Selling Tickets To Their Play To Raise Money For The Show's Expenses:Each Student Ticket
The Drama Club Is Selling Tickets To Their Play To Raise Money For The Show's Expenses:Each Student Ticket

Answers

Answer 1

Answer:

  see attached

Step-by-step explanation:

The two inequalities you want to plot are ...

  x + y ≤ 75 . . . . . . . . the auditorium can hold no more than 75 people

  5x +7.5y ≥ 450 . . . a minimum of $450 revenue is needed to cover costs

__

These are probably most easily plotted by graphing their intercepts. The boundary line for the first inequality will have x- and y-intercepts of 75. Shading will be below the line.

The boundary line for the second inequality will have an x-intercept of 450/5 = 90, and a y-intercept of 450/7.5 = 60. Shading will be above the line.

On of the points in the potential solution area is shown in the attached graph:

  (x, y) = (25, 50) . . . . fills the theater, gives $500 revenue

The Drama Club Is Selling Tickets To Their Play To Raise Money For The Show's Expenses:Each Student Ticket

Related Questions

Help please and thank you

Answers

Answer:

  (a) P = 3000·1.15^t

  (b) 12,137

Step-by-step explanation:

(a)

The equation gets filled in so it looks like ...

  P = (initial amount) × (1 +growth rate)^t

where t is in units compatible with the growth rate.

  P = 3000·1.15^t

__

(b)

Midnight is 10 hours later than 2 p.m., so the quantity will be ...

  P = 3000·1.15^10 ≈ 3000·4.045558 ≈ 12,137

There will be 12,137 bacteria at midnight.

Solve for percent error: At a school production, the drama club advisor
predicted that there would be 200 people on the first night. Find the
percent error if 250 people attend.

Answers

Answer:

25 %

Step-by-step explanation:

Error = (actual - predicted) / (predicted)

= (250-200) / 200

= 50 / 200

= 0.25

multiply by 100 to conver to a percent

25 %

PLEASE HELP QUESTION IN PICTURE. (15 POINTS)

Answers

2x-9 + 5x-3 + 2x-2 = 9x-12 so it’s D

the length of a rectangle is 8 cm more than twice the width. the perimeter of the rectangle is 34 cm. what is the length of the rectangle

Answers

Answer:

14 cm

Step-by-step explanation:

let the length of the triangle be x and the width be y

x = 2y+8

2x + 2y = 34

2(2y + 8) + 2y = 34 (since x = 2y + 8)

6y + 16 = 34

6y = 18

y = 3

x = 2y + 8 = 2(3) + 8

x = 6 + 8

x = 14

( pls mark me the brainliest)

Triangle J K L is shown. Point M is the midpoint of side K L and point J is the midpoint of side J L. The length of K J is 12. 8 meters, the lengths of J N and N L are 3. 7 meters, and the lengths of K M and M L are 5. 9 meters. Which statements about triangle JKL are true? Select two options. M is the midpoint of line segment KJ. N is the midpoint of line segment JL. MN = One-halfKJ MN = 4. 4m MN = ML.

Answers

The true statements are: M is the midpoint of line segment KJ and N is the midpoint of line segment JL

The given parameters are:

[tex]KJ = 12.8m[/tex]

[tex]JL = 7.4m[/tex]

[tex]KL = 11.8m[/tex]

From the figure (see attachment), we have the following highlights

Either sides of point M on line segment KL is 5.9 metersEither sides of point N on line segment JL is 3.7 meters

The midpoint of a line segment divides the line segment into equal halves.

Read more about midpoints at:

https://brainly.com/question/4363233

Answer:

Correct answer is A & B on edge

Step-by-step explanation:

Finding the Area of a Triangle
Calculate the area of the triangle:
A=

Answers

Answer:

27

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Find sum of arithmetic series where a1 = 7, n=31, nth a =127

Answers

Answer:

Sum of arithmetic series is [tex]2077[/tex]

Step-by-step explanation:

We have [tex]n[/tex]th term of arithmetic sequence

[tex]a+(n-1)d[/tex]

Here

[tex]a+(n-1)d=127\\\\7+(31-1)d=127\\\\d=\frac{120}{30} \\\\=4[/tex]

Sum of arithmetic sequence [tex]=\frac{n}{2} (2a+(n-1)d)[/tex]

[tex]=\frac{31}{2} (2\times7+(31-1)4)\\\\=\frac{31}{2} (14+120)\\\\=31\times67\\\\=2077[/tex]

Answer:

The sum of arithmetic series is 2077.

Step-by-step explanation:

Solution :

Here we have provided that :

»» [tex]\rm{a_1}[/tex] = 1»» [tex]\rm{n}[/tex] = 31»» [tex]\rm{a_n}[/tex] = 127

We need to find :

»» The sum of arithmetic series.

Here's the required formula to find the sum of arithmetic series :

[tex]\longrightarrow{\pmb{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]

Substituting all the given values in the formula to find the sum of arithmetic series :

[tex]{\longrightarrow{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]

[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(7 + 127 \Big)}}[/tex]

[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(134 \Big)}}[/tex]

[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \times 134 }}[/tex]

[tex]{\longrightarrow{\sf S = \dfrac{31}{\cancel{2}} \times \cancel{134 }}}[/tex]

[tex]{\longrightarrow{\sf S = 31 \times 67}}[/tex]

[tex]{\longrightarrow{\sf S = 2077}}[/tex]

[tex]\star \: {\underline{\boxed{\sf{\red{S = 2077}}}}}[/tex]

Hence, the sum of arithmetic series is 2077.

[tex]\rule{300}{1.5}[/tex]

What is the slope of the line

Answers

The slope of the line is 2

The formula for finding slope using two coordinate pairs is y-y
——-
x-x
In this case, the y values are 10 and 2, and the x values are 6 and 2. If we plug these into our formula the equation is 10-2
———
6-2
10-2 is 8 and 6-2 is 4. So 8 divided by 4 would equal 2

Find the value of f(5) for the function. f(a)=7(a+4)− 5

Answers

Answer:

58

Step-by-step explanation:

plug f(5)

7(5+4)-5

7(9)-5

=63-5

=58

Plz answer ASAP. Find the volume of the same shape

Answers

Answer: 17m+19

Step-by-step explanation:

Can no one really help me? I've posted a question worth 50 points and people who are just in it for the points keep responding...I need help this is literally very important to my grade and no one is helping me please help ​

Answers

Answer:

repost so i can see

Step-by-step explanation:

repost so i can seee

Answer:

wheres the answer???

Step-by-step explanation:

cant find the answer thats all

There are 3 yellow, 3 green, and 3 red pens in a jar. Each day Michelle selects a pen without looking, uses the pen, and then replaces it in the jar. Over 14 days she selects a red pen 6 times. Compare the theoretical and experimental probabilities of this experiment.
(Hint: Calculate the theoretical probability and experimental probability
separately)

Answers

Theoretical Probability: she will pick the red pen 4-5 times in the 14 days (14days/3options=4.667times picked over the duration of the time allotted).

Experimental Probability: she picks the red pen 6/14 times

So the experimental is 1-2 times more than predicted via theoretical probability

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

y = 5/4x

Step-by-step explanation:

To find the equation of the line, we'll have to find the slope only, since we already know that the equation is proportional and therefore has no y-intercept that we need to worry about.

So, to begin, we'll have to make a slope triangle using two of the points on the line - the points I chose are (0, 0) and (4, 5). Then, I drew a slope triangle - the change in y was 5, and the change in x was 4. To find the slope, we divide the change in y by the change in x, giving us a slope of 5/4. Because of this, our equation must be y = 5/4x.

Hopefully this is helpful! You can refer to the picture I attached if you would like to see how my slope triangle looks. :)

Answer:

Step-by-step explanation:

y = 15

x = 12

The y intercept is zero so the slope is simply

m = y /x

m = 15/12

m = 5/4

The equation is

y = 5/4

2

A. A cylindrical barrel has diameter 14 m and height 9 m. Find the cost of painting the inner side of the barrel at 132 per m? (Take = 3.14.)​

Answers

Answer:

Here is your Answer

Step-by-step explanation:

DIAMETER = 14 M

RADIUS = DIAMETER ×0.5

RADIUS = 14÷0.5 = 7

HEIGHT = 9M

AREA OF CYLINDER = 2pi*R* H

AREA = (2× 3.14×7×9) M^2

AREA =395.64 M^2

COST FOR AREA M^2 = ₹ 32

COST FOR AREA 395.64 =₹(395.64×32)

SO, ANSWERS= ₹ 12660.48

Plz Mark Me As Brainiest

Answer:

$ 12660.5

Step-by-step explanation:

We know that

Radius = Diameter/2

Radius = 14/2 = 7 m

Now,

CSA of cylinder = 2πrh

=> 2 × 3.14 × 7 × 9

=> 395.6 m²

Now,

Cost = 395.6 × 132

=> $ 12660.5

A line passes through the point (4, -6) and has a slope of -2. Which is the equation of the line?
O y=-x-3
O y--RX-6
O y=-3x-
O y=-x-
o ya
-

Answers

Answer:

The posted photo says the slope is -(3/4).  I'll use that, instead of -2 as written in the question.

Step-by-step explanation:

The slope-intercept form of a straight line equation is y = mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

With a slope of -(3/4), we can write:  y = -(3/4)x + b.

To find b, use the given point (4,-6):

y = -(3/4)x + b

-6 = -(3/4)(4) + b   for (4,-6)

-6 =  -3 + b

b = -3

The line is y = -(3/4)x - 3

The first option.

A computer processes information in nanoseconds. A nanosecond is one-billionth of a second. Write this number as a decimal.

Answers

Answer:

0.000000001

Step-by-step explanation:

Let's convert this :

0.000000001

  tHT      M    B

t=tenths

H=Hundredths

T=Thousandths

M=millionths

B=Billionths

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

y = 4/7x

Step-by-step explanation:

(0,0)

(7,4)

up 4 right 7

4/7

y = 4/7x

Answer:

y = 4/7 x

Step-by-step explanation:

using rise/run = slope

rise = 4

run= 7

4/7 = slope

Translate the sentence into an equation
Five less than the product of 3 and a number equals 7
Use the variable b for the unknown number

Answers

Answer:

5-3x=7

Step-by-step explanation:

The perimeter of the figure below is 135.8 in.
Find the length of the missing side.

Answers

Answer:

12.3

Step-by-step explanation:

subtract(its me again)

Which expression is equivalent to 24x+18y

A- 6 (4x) + 3 (6y)
B- 2 (12x) + 2 (6y)
C- 12x+ 12x + 12y+ 12y
D-6y + 6x + 6y + 6x + 6y

Answers

Answer:

A- 6 (4x) + 3 (6y)

Step-by-step explanation:

6 (4x) + 3 (6y) equals 24x+18y


Anthony wants to get a new TV. He has been working hard as a busboy at the local restaurant and wants
to treat himself to something nice. Today is his lucky day as he finds a 60" TV in stock that he has been
looking for. Unfortunately, it costs $700, and he does not have enough money saved up in order to buy it.
He recently received a credit card and is trying to decide what to do. Should he keep saving money buy it

Answers

The credit card provides the opportunity for Anthony to purchase the TV by paying at a rate of $50 a month.

The correct responses are;

1. The final price of the TV is $791.62. Anthony has to work for 70 hours to save enough money to buy the TV3. The number of extra hours of work bussing tables when using his credit card is approximately 9.16 hours.

Reasons:

The price of the TV, P = $700

The interest rate is r = 18%

The monthly payment, M = $50

Monthly payment formula is given as follows;

[tex]M = \mathbf{ \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}[/tex]

The time it will take to pay using the credit card is therefore;

[tex]\displaystyle 50 = \dfrac{700 \times \left(\dfrac{0.18}{12} \right) \cdot \left(1+\dfrac{0.18}{12} \right)^n }{\left(1+\dfrac{0.18}{12} \right)^n - 1} = \frac{10.5 \cdot 1.015^n}{1.015^n-1}[/tex]

Which gives;

50 × (1.015ⁿ - 1) = 10.5 × 1.015ⁿ

Solving for n gives;

[tex]\displaystyle n = \frac{ln\left(\frac{50}{39.5}\right) }{ln(1.015)} \approx \mathbf{15.832}[/tex]

It will take approximately 15.832 months for Anthony to pay for the TV at $50 per month.

1. The final price of the TV = $50 × 15.832 ≈ $791.6

2. The number of hours of work, t, is given as follows;

[tex]\displaystyle t = \frac{\$700}{\$10 \ per \ hour} = \mathbf{ 70 \ hours}[/tex]

Anthony has to work for 70 hours to save enough money to purchase the TV.

3. The extra hours of work is given by the hours of work needed to pay for the interest amount for the loan on the card

The interest amount on the card = $791.6 - $700 = $91.6

[tex]\displaystyle Extra \ hours \ to \ work = \mathbf{ \frac{\$ 91.6}{\$10 \ per \ hour}} = 9.16 \ hours[/tex]

Anthony has to work for extra 9.16 hours bussing tables using his credit card.

Learn more about payment on loan here:

https://brainly.com/question/13522402

Evaluate.

(−16+0.6(−13)+1)2

What is the value of the expression?

Enter your answer as a simplified fraction in the box.

Evaluate.

(−16+0.6(−13)+1)2

What is the value of the expression?

Enter your answer as a simplified fraction in the box.

Answers

Answer:

  361/900

Step-by-step explanation:

  [tex]\left(-\dfrac{1}{6}+0.6\left(-\dfrac{1}{3}\right)+1\right)^2=\left(-\dfrac{1}{6}-0.2+1\right)^2\\\\=\left(1-\left(\dfrac{1}{6}+\dfrac{1}{5}\right)\right)^2=\left(1-\dfrac{5+6}{6\cdot5}\right)^2=\left(\dfrac{19}{30}\right)^2=\boxed{\dfrac{361}{900}}[/tex]

Translate this phrase into an algebraic expression.
54 decreased by twice a number
Use the variable n to represent the unknown number.

Answers

Answer:

54 - (2n)

Step-by-step explanation:

First you take 54

Then its says to “decrease (said number: 54) by twice a number”

Decrease meaning “take away/remove”.

So you subtract 54 by 2 —> 54 - 2

But then, the important line comes along, “Use the variable n to represent the unknown number.

This mean that ”n”, multiplied by two is what the number: 54 is being deceased by.

So your answer is —> 54 - (2n)

Answer:

54 - 2n

Step-by-step explanation:

54 - 2n

what is the next term in the number pattern? 77, 64, 53, 44, 37

Answers

Answer:

32

...when you subtract five from 37

It is a pattern that goes:

-13

-11

-9

-7

and now -5 = 32

A pole 12 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Moussa measures the distance from the pole to the stake and from the pole to the tower. Find the length of the guy wire, to the nearest foot.

Answers

Answer: The answer is 189 ft.

what the first 3 prime numbers greater than 12

Answers

Answer:
13 17 and 19
Answer:

13, 17 and 19

At Tasty Dogs, 2 of the last 12 customers wanted mustard on their hot dogs. Considering this data, how many of the next 6 customers would you expect to want mustard?

Answers

Answer:

I would expect 1 person to want mustard.

Explanation:

6 is half of 12, and 1 is half of 2 :)

Hope this helped

I agree with everything that dagaminangel said since two out of 12 wanted mustard one should want mustard out of the six

Please answer both please please I’ll give brainly

Answers

Answer:

4.  9  

5.    5x

Step-by-step explanation:

its an isocoles

its about drive
its about power
we stay hungry
we devour

Answers

Answer:

AYYYYY GET IT !!!!

Step-by-step explanation:

Answer:

put in the work put in the hour and take what's ours

Step-by-step explanation:

. . . .. . . .. . . .. so easy

Answers

Answer:

i aint smart but im a the last one 4/8

Answer:

The answer is 4/8.

Step-by-step explanation:

Because 4 is half of 8 while the others are either 1 more or 1 less then half or just don't make half at all. So the only answer here that makes sense is 4/8

(pls do tell me if I'm wrong)

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