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 $9.50. The auditorium can hold a maximum of 130 people. The drama club must make at least $950 from ticket sales to cover the show's costs. If xx represents the number of student tickets sold and yy represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer 1

Answer:

5 x+ 9.50 y = 950, x= 38, y = 80

Step-by-step explanation:

I hope this helps. Have a good day!

Answer 2

One possible solution of the inequalities will be (20, 100).

Formation of inequalities and their solution,To form an inequality choose the variables.Point lying in the common region of the inequalities will be the solution of the inequalities.

Given in the question,

Cost of student ticket = $5 eachCost of adult ticket = $9.5 each

Let the number of student tickets sold = x

And the number of adult tickets sold = y

First statement states," Auditorium can hold a maximum of 130 people".

Inequality for the statement will be,

x + y ≤ 130 --------(1)

Second statement states, "The drama club must make at least $950 from the tickets sale to cover the show's cost".

Inequality for the statement will be,

5x + 9.5y ≥ 950 ------ (2)

Now use the utility to graph the inequality,

Since, a point (20, 100) lies in the common region (solution area) of the inequalities,

       Therefore, one possible solution will be (20, 100).

Learn more about the solution of inequalities here,

https://brainly.com/question/16339562?referrer=searchResults

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

Related Questions

A is opposite _________???

Answers

Like BC! Hope this helps :)

Question 1.

what equation is graphed in this figure?

A. y-4= -1/3(x+2)

B. y-3=1/3(x+1)

C. y+2=-3(x-1)

D. y-5=3(x-1)

Question 2.

a line has a slope of 3 and goes through the point (6,-5) what is the equation of this line in standard form?

A. -3x+ y=-13

B. -3x + y=21

C. 3x+ y= 13

D. -3x y= -23

Question 3.

a line passes through the points (-4,-9) and (-2,-6) what is the equation of the line in slope- intercept form?

A. y=2/3x +3

B. y=3/2x-3

C. y=2/3x -3

D. y=2/3x+3 ​

Answers

Answer:

whats the choice dudududududeudeudeududueduedudeuduededeudeudueduedeudeud ededeededede

Step-by-step explanation:

what is the choices !$.$.$&.

The graph of y= f(x) determine f (x) = 3

Answers

Answer:

-3

because f(x)= y then y =3

therefore if we find point 3 on y axis and then see which point is on the horizontal line of 3 which is -3

hope this helps you.

A spinner with 10 equally sized slices has 2 red slices , and 4 yellow slices, and 4 blue slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red or yellow slice?

Answers

Given parameters:

Number of equally sized slices = 10

Red slices  = 2

Yellow slices  = 4

Blue slices  = 4

Unknown:

Probability that the dial stops on a red or yellow color  =?

Solution:

Probability is the likelihood of an event to occur.

   Probability  = [tex]\frac{Possible outcome }{Total outcome}[/tex]  

   This probability cites a mutually exclusive event because if the dial stops on red, it cannot be on yellow.

Pr(red  or yellow) = Pr(red) + Pr(Yellow)

                             = [tex]\frac{2}{10}[/tex]  + [tex]\frac{4}{10}[/tex]

                              = [tex]\frac{6}{10}[/tex]

                              = [tex]\frac{3}{5}[/tex]

The probability of red or yellow is [tex]\frac{3}{5}[/tex]


1.)
4x + 14, find the value of x.
If mZPQT 60 and mZPQS
Enter the NUMBER only for x.

Answers

Answer:

4(60)+14

240+14

254

Step-by-step explanation:

2. GAME Frita's game piece is on square
24 of a game board. She draws a card
that
says, "Move back 4 spaces." Then
she draws a card that says, “Move back
2 spaces." On which square is Frita's
game piece now?

Answers

Answer:

Square 18.

Step-by-step explanation:

First, you subtract 4 from 24, and get 20, which you subtract 2 from to get your answer: 18.

Hope this helps!

Solve for x 5z-8=-28

Answers

U said solve for x do u mean z?

z=-4

Answer: z = -4

Step-by-step explanation:

Simplifying

5z + -8 = -28

Reorder the terms:

-8 + 5z = -28

Solving

-8 + 5z = -28

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 5z = -28 + 8

Combine like terms: -8 + 8 = 0

0 + 5z = -28 + 8

5z = -28 + 8

Combine like terms: -28 + 8 = -20

5z = -20

Divide each side by '5'.

z = -4

Simplifying

z = -4    Hope this helps !

What’s the diameter and the radius

Answers

Answer:

Radius is 12 (24/2)

Diameter is 24 (a straight line passing from side to side through the center of a circle)

2nd brainliest for the day
answer
⬇⬇​

Answers

Answer:

..............

...............

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

wow free points thanks

what value of x makes this equation true:
8x + 7 = 79

Answers

Answer:

x equals to 9

9

x is 9

x is 9

Can you please solve this.

Answers

Answer:

They are not similar.

Step-by-step explanation:

They aren't the same shape. If they were the answer would be 49, but that doesn't make sense.

They are not similar

Explanation: I did this

Need help Just say a b c or d

Answers

Answer:

A) 2

Step-by-step explanation:

19=2x-15

19-15=4

4=2x

4÷2=2

×=2

The answer is B. Hope this helps!

y = –6x+2
–12x – 2y = –4
How many solutions does this linear system have?

one solution: (0, 0)
one solution: (1, –4)
no solution
infinite number of solutions

Answers

Answer:

infinite number of solutions

Step-by-step explanation:

y = -6x + 2 . . . . . . . . (1)

-12x - 2y = -4 . . . . . . (2)

Putting (1) into (2), we have

-12x - 2(-6x + 2) = -4

-12x + 12x - 4 = -4

-4 = -4

Therefore, the system has infinite number of solutions.

I hope this helps you! :3 :)

Answer:

infinte number of solutions

Step-by-step explanation:

What is the simple interest formula?

A.I=P-rt
B.I=Prt
C.I=P+r+t

Answers

the answer should be I=prt
The answer is B!!!!!!

A community center with 700
members has 56 teenage members.
What percentage of the members are
teenagers?
F 56%
G 8%
H 5.6%
J 80%

Answers

Answer:

8%

Step-by-step explanation:

divide number of teenagers by total and the multiply by 100... this is very basic

Answer: 8

Step-by-step explanation:

3. Which list below shows the number of medals that one nation's team won at the Olympics. What is the ratio of gold medals to the total number of medals that the team won? Gold 34; Silver 30; Bronze 39 * 1 point A. 34 to 93 B. 34 to 103 C. 103 to 34 D. 34 to 69

Answers

Answer:

The ratio of gold medals to the total number of medals that the team won is 34 to 103.

The correct option is B. 34 to 103

Step-by-step explanation:

From the question, the team of one nation has won 34 Gold, 30 Silver, and 39 Bronze medals.

To determine the ratio of gold medals to the total number of medals that the team won,

First, we will determine the total number of medals that the team won, which is the sum of the numbers of each medal won. That is

Total number of medals = 34 + 30 + 39 = 103

Therefore, total number of medals = 103

Now, for the ratio of gold medals to the total number of medals that the team won

Number of gold medals won = 34

Hence, the ratio of gold medals to the total number of medals that the team won is 34 to 103

The graph of a linear function has a slope of 3 and contains the point (15, 6). What is the y-intercept?

PLEASE HELPPP

Answers

Answer:

y(0) = -39

Step-by-step explanation:

15 * 3 = 45

6- 45 = -39

NASA is launching a prove that will travel in a straight line to Saturn and then beyond. Use d to represent the distance from Earth to Saturn, and use q to represent the total distance the probe has traveled. Saturn has not moved relative to the probe.

Answers

Step-by-step explanation:

its c because ppl eheueebeuebeue eueeb

PLEASE HELP ASAP ILL GIVE YOU BRAINLEST


Mira borrowed $1,200 from the bank to help pay rent. If the bank charged 6% interest over 9 months, how much did she pay the bank back all together?

Answers

Step-by-step explanation:1,200x 0.06 interest= 72.

She paid it over the course of 9 months, so 72x9= 648.

Mira pay $1,254 the bank back all together.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

We have to given that;

Mira borrowed $1,200 from the bank to help pay rent.

And, The bank charged 6% interest over 9 months.

Now, We know that;

⇒ Simple interest = PRT / 100

Where, P is principle amount, R is rate and T is time.

So, We get;

⇒ Simple interest = PRT / 100

⇒ Simple interest = 1200 × 6 × 9/12 × 1/100

⇒ Simple interest = $54

Hence, The total amount to pay back to bank is,

Amount = Principle amount + Interest

⇒ Amount = $1,200 + $54

⇒ Amount = $1,254

Learn more about the simple interest visit;

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Mr. Bohman is taking out a loan so that he can buy more bees. If he takes out a loan of $5,500 at 10% simple interest for 7 years, how much interest will he have to pay

Answers

Answer:$3850

Step-by-step explanation:fist do 5,500 X 1 =500

Then do 500 X 7 = 3850

HELP!!!!On Monday, Josh went to the Farmer's Market. He bought 5 peaches and 2 watermelons for $7.75. On Thursday, Josh went back to the Farmer's Market and bought 3 peaches and 4 watermelons for $10.95. Which of the following systems of equations can be used to determine the cost for one peach (p) and one watermelon (w)?

1. 5p+2w=$7.75
3p+4w=$10.95

2. 5p×2w=$7.75 (Wrong)
3p×4w=$10.95

3. 5w+2p=$7.75
3w+4p=$10.95

4. 5w×2p=$7.75
3w×4p=$10.95

Answers

Answer:

1. 5p+2w=$7.75

3p+4w=$10.95

Step-by-step explanation:

Just make sure the sign is adding and the w and p are in the right spots

Answer: 1. 5p+2w=$7.75

3p+4w=$10.95

Step-by-step explanation: did the test n got it correct, hope this helped :)

8^x = 2 write down the value of x

Answers

8^x = 2
8 is 2 cubed
So
2^3^x = 2
2^3x = 2
3x = 1
x = 1/3

The required simplified value of the given expression is x = 1/3.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression is an exponential expression,
Though,
8ˣ = 2
Taking logs on both sides,
xlog8 = log 2
x = log2/log8
x = log2/3log2
x = 1/3

Thus, the required simplified value of the given expression is x = 1/3.

Learn more about simplification here: https://brainly.com/question/12501526

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The figures are not drawn to scale.
35°
55°
Based on the information in the drawing, which statement
can be made about the figures?
O All sides are congruent.
O Corresponding angles are congruent.
The triangles are similar.
O Corresponding sides are proportional.

Answers

Answer:

Corresponding angles are congruent, corresponding sides are porportional, and the triangles are similar.

Step-by-step explanation:

Since angles on a triangle add up to 180 degrees, we can figure out that both triangles' angles are 55, 35, and 90. That means the triangles are similar, corresponding sides are porportional, and also means the corresponding angles are congruent. The 4th one cannot be guaranteed, as the triangles could be of different sizes.

Given the following two points write the equation in slope intercept form: (0, -5) and (4, 3)

Answers

Answer:

[tex]y=2x-5[/tex]

Step-by-step explanation:

Let's start by finding the slope using the two points given. Use the formula for slope below:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Identify your values:

[tex]x_1=0\\x_2=4\\y_1=-5\\y_2=3[/tex]

Substitute:

[tex]m=\frac{3-(-5)}{4-0}[/tex]

Combine terms:

[tex]m=\frac{8}{4}[/tex]

Simplify:

[tex]m=2[/tex]

_

Let's graph these two points. As seen on the graph attached, we can see that [tex]-5[/tex] is the y-intercept. With our slope and y-intercept, we have the information needed to formulate an equation in slope-intercept form:

[tex]y=mx+b[/tex]

Identify your values:

[tex]m=2[/tex]

[tex]b=-5[/tex]

Substitute:

[tex]y=2x-5[/tex]

list 1/6, -4, sq root of 8, 4.3 from least to greatest 

Answers

Answer:

-4, 1/6, sq rt 8, 4.3

Step-by-step explanation:

1/6=.167

sq rt8= 2.82

8.4 km/min into km/h​

Answers

Answer:

504km/h

Step-by-step explanation:

there are 60 minutes in an hour.

8.4kmx60min= 504km/h

select all input values for which g(x)=8
choose all that apply
a)x=-4
b)x=6
c)x=9
d) none of the above

picture of graph:

Answers

Answer:

a. x = -4

c. x = 9

Step-by-step explanation:

Values of g(x), output values, are plotted on the y-axis, while the corresponding x values, input, of the function are plotted on the x-axis.

We are to determine all possible input values (x-values) that will give us an output value, g(x) = 8.

On the graph, look at the point where y = 8, on the y-axis. When y = 8, we have two possible values of x. They are -4, and 9.

Thus:

g(-4) = 8

g(9) = 8.

The possible input values for which g(x) = 8, are x = -4, and x = 9.

- Danny multiplied a number by 7 and
added 32. Paul multiplied the same
number by 5 and added 92. After
these calculations, both boys arrived
the same answer. Which equation
can be used to determine what
number each boy multiplied?

Answers

Answer:

A.

Step-by-step explanation:

x is what is representing the unknown number. So, both are multiplying x (the unknown number) by 7 and 5, respectively, and adding that number by 32 and 92, respectively.

If f(x)=3x+2, what is f(5)
A. 1
B. 17
C. 13
D. 10

Answers

17 because 3 times 5 is 15 and then you add 2 which gives you 17

Sam's Furniture Store places the following advertisement in the local
newspaper. Write a system of equations for the three combinations of
furniture. What is the price of a love seat?*
Write a system of equations for the word problem and solve it. ONLY input your answer for how
much a love seat cost.
SAM'S
Store
Stand kve seat
$1300
$1400
$1600
Sols and two chairs
Safa, love seat, and one chair
Your answer

Answers

Answer:

1. The system of equations is given as follows;

S + L = $1,300................(1)

S + 2·C = $1,400............(2)

S + L + C = $1,600.........(3)

Where;

S = The cost of a sofa

L = The cost of a love sea

C = The cost of a single chair

2. The cost of a love sea, L is $500

Step-by-step explanation:

1. The given information are;

The price of sofa and love sea = $1,300

The price of sofa and two chairs = $1,400

The price of sofa, love sea, and one chair = $1,600

Let the cost of a sofa = S

Let the cost of a love sea = L

Let the cost of a chair = C

Therefore, we have;

S + L = $1,300................(1)

S + 2·C = $1,400............(2)

S + L + C = $1,600.........(3)

2. From equation (1), we have;

L = $1,300 - S

Similarly, from equation (2),we have;

C = ($1,400 - S)/2

Substituting the values of L and C in equation (3), we have;

S + $1,300 - S + ($1,400 - S)/2 = $1,600

Which gives;

($1,400 - S)/2 = $1,600 - $1,300 = $300

$1,400 - S = 2 × $300 = $600

$1,400  = $600 + S

$600 + S = $1,400

S = $1,400 - $600 = $800

S = $800

The cost of a love seat, L, is given from the relation L = $1,300 - S, above, which gives;

L = $1,300 - $800 = $500

The cost of a love sea, L is $500 .

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