The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $6 and each adult ticket sells for $11. The auditorium can hold at most 100 people. The drama club must make no less than $770 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:

Im not really sure what the question is asking but the drama club could sell 70 adult tickes and 30 student tickes and they would make $950.

Step-by-step explanation:

Answer 2

Answer:

possible solution (10,80)

Step-by-step explanation:

Variable Definitions:

x=the number of student tickets sold

y= the number of adult tickets sold

“at most 100 people"→100 or fewer tickets

Therefore the total number of tickets sold, x+y, must be less than or equal to 100:

x+y≤100

“no less than $770"→$770 or more

Each student ticket sells for $6, so x student tickets will bring in 6x dollars. Each adult ticket sells for $11, so y adult tickets will bring in 11y dollars. Therefore, the total amount of revenue 6x+11y must be greater than or equal to $770:

6x+11y≥770

Solve each inequality for y:

x+y≤100

y≤−x+100

6x+11y≥770

11y≥770−6x

y≥ -6/11x+70

Graph y≤100−x by shading down and graph y≥-6/11x+70

by shading up


Related Questions

If you know how to do this problem, please help me out!

Answers

Step-by-step explanation:

Parallel

[tex]y = - \frac{2}{5} x + 3[/tex]

Perpendicular

[tex]y = \frac{5}{2} + 4[/tex]

Answer:

Slope of a parallel line: 2/5

Slope of a perpendicular line: 5/2

Explanation:

Parallel lines function

1. y = -2/5x+(R-4)

Perpendicular line function

2. y = 5/2x

What is the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is ?

Answers

Answer:

I think your answer would be 36

Answer:

28

Step-by-step explanation:

1/3x − 1/3
Factored please help ;)

Answers

Answer:

1/3(x-1)

Step-by-step explanation:

1/3x - 1/3

Both terms have a greatest common factor of 1/3

1/3 *x - 1/3 *1

Factor out a 1/3

1/3(x-1)

If x and y vary inversely and x = 1 when y = 11, find x when y = 5.5.

Answers

Answer:

x = 2.

Step-by-step explanation:

y = k/x

11 = k/1

so k = 11

y = 11/x

When y = 5.5:

5.5 = 11/ x

x = 11/5.5

= 2.

The values of x and y vary inversely, if the value of y is 5.5 then the value of x will be equal to 2.

What is an arithmetic operation?

The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included is the study of integers, especially the order of operations, which is essential for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the information provided in the question,

y = k/x

11 = k/1

k = 11

y = 11/x

If y = 5.5,

5.5 = 11/ x

x = 11/5.5

x = 2.

To know more about  arithmetic operations:

https://brainly.com/question/13585407

#SPJ2

F is directly proportional to A. if F=72 when A=9 find F when A=7

Answers

56 is your answer.

Equation for direct proportion is y = kx where k is the constant of proportionality. For your letters, it’s f = ka

We know 72 =k9, so k = 8
Then they want you to solve
f = 8•7
f = 56

Please help, If you can also explain the steps you used to solve this that would be great.

Answers

Answer:

24¾

Step-by-step explanation:

8/18=11/x

x=11×18/8

x=198/8

x=24¾

help help help help help help help help help help help help

Answers

Answer: 25

Step-by-step explanation:

PLZ HELP ME :( you can pick neither or both or one of the triangles in the screenshot

Answers

5+5y= 47
A^2 - 47 = ?

How to do surface area- cylinder worksheet

Answers

Answer:

to find surface area of cylinder

A=2πrh+2πr²

Step-by-step explanation:

the scale of a map is 1 cm :12 km find the actual distance for each map distance

1.) 1.5 cm
2.) 12 cm
3.)4.25
4.)8.3

Answers

Answer:

1) 18

2) 144

3) 51

4) 99.6

Step-by-step explanation:

1) Multiply 1.5 by 12, as 1.5 divided by 1 is 1

2) Multiply 12 by 12, as 12 divided by 1 is 1

3) Multiply 4.25 by 12, as 4.25 divided by 1 is 1

4) Multiply 8.3 by 12, as 8.3 divided by 1 is 1

The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby. Two dot plots show the number of fish caught on days 1 and 2. The dot plot for day 1 has dots as follows: 3 above 1, 6 above 2, 6 above 3, 6 above 4, 6 above 6, and 3 above 6. The dot plot for day 2 has dots as follows: 3 above 1, 3 above 2, 4 above 3, 6 above 4, 7 above 5, and 7 above 6. Use the mean value of each data set to make an inference about the number of fish caught each day. On average, most participants caught and released 5 or more fish. More participants caught 6 fish than any other number. The same participants who caught and released 1 fish the first day caught and released 1 fish the second day. On average, participants caught and released more fish on Day 2.

Answers

A8-436873-658756780579y5

Step-by-step explanation:

Number 4 5 6 7 pls help!!!!!

Answers

Answer:

Here ya go!

Step-by-step explanation:

(look at picture below

Lin's father is paying for a $20 meal. He has a 15% off coupon for the meal. After the discount, a 7% sales tax is applied. What does Lin's father pay for the meal? Explain or show your reasoning.

Answers

Answer:

Check pdf

Step-by-step explanation:

Find the quotient (PLEASE HELP)

Answers

[tex]{ \dashrightarrow{ \sf{ \green{ \frac{ {x}^{2} - 5x - 36}{x + 2} \div ( {x}^{2} - 18x + 81)}}}} \\ \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{( {x}^{2} - (9x - 4x)- 36)}{x + 2} \div ( {x}^{2} - (9x + 9x) + 81)}}}} \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{ {x}^{2} - 9x + 4x - 36 }{x + 2} \div( {x}^{2} - 9x - 9x + 81)}}}}[/tex]

[tex]{ \dashrightarrow{ \sf{ \green{ \frac{x(x + 4) - 9(x + 4)}{x + 2} \div (x(x - 9) - 9(x - 9))}}}} \\ \\ \\ { \dashrightarrow { \sf{ \green{ \frac{(x + 4)(x - 9)}{(x + 2)} \div ((x - 9)(x - 9))}}}} \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{( x + 4)(x - 9)}{(x + 2)(x - 9)(x - 9)}}}}} [/tex]

[tex]{ \dashrightarrow{ \underline{ \sf{ \green{ \frac{(x + 4)}{(x + 2)(x - 9)}}}}}} \\ \\ \\ [/tex]

Which among the four choices gives the difference of (x/4x²) and (3/4x²)?​

Answers

Answer:

2

Step-by-step explanation:

the difference is that

What number 10times greater than 0.03

Answers

Answer:

A number that is 10 times greater than 0.03 A number that is 1000 times greater than 3 1 10 the value of 30 3 1 100 of 3 0.03 so the  number that is 10 times greater than is 0.3

but if you want to know they number that 0.03 is ten times greater then  its 0.003

Step-by-step explanation:

Solve the quadratic equation for the solutions.
f(x) = 2x^2 - 6x + 10

Answers

I’m a little rusty but I got 8

A canister holds 3 blue pens, 4 black pens, 2 red pens, and 6 pencils. The simplified ratio of ALL the pens to pencils is

Answers

Answer:

The simplified ratio of ALL the pens to pencils is

= 3:2

Step-by-step explanation:

A canister holds 3 blue pens, 4 black pens, 2 red pens, and 6 pencils.

Step 1

Sum of all the pens is:

Blue pens + Black pens + Red pens

= 3 + 4 + 2

= 9 pens

Number of pencils = 6 pencils

Step 2

The simplified ratio of ALL the pens to pencils is

Pens : Pencils

= 9 : 6

= 3:2

DUE RIGHT NOW!!!!! PLEASE HELP!!!!!

Answers

Gfurknegwuwn nakwubwkw. Jahsken

Choose the solution to this inequality.

Answers


It’s B

Have a good day and here is a bobcat

The answer is c because 8-4is 4 and 3 (dominator) stays the same


What is the vertex for the following quadratic?
f(x)= 2x^2-12x+16

Answers

Answer:

(3, -2)

Step-by-step explanation:

To find the vertex, put the equation into vertex form by completing the square

2(x^2 - 6x) + 16  [pulling out the 2]

2(x^2 - 6x + 9) - 18 + 16 [completing the square, you subtracted 2*9 = 18 so you also add 18]

2(x - 3)^2 - 2 [simplify the equation]

vertex is (3, -2)

Show all of your work.
a Jon works at T-Shirts R Us. Yesterday, he unpacked 36 boxes of new shirts. Each
box had 24 shirts in it. How many shirts did he unpack?

Answers

864 shirts :) 36x 24

What two factors multiply by 36 and add to -15???!!!!

-6 & -6

-3 & -12

-1 & -36

-2 & -18

-4 & -9

Answers

Answer:

-3 & -12

Step-by-step explanation:

-3 * -5 =36

negative multiplied by a negative it will give you a positive

-3+(-5)=-15

Help me with this!!!

Answers

Answer:

15

Step-by-step explanation:

Answer:

TW= 15

Step-by-step explanation:

If UV ≈ VW it means the two triangles shown are congruent (or equal).

So if they are equal it means TU will equal TW.

TU = 15 = TW

jaela is buying a used car for $6832. her loan is for 30 months at 1.35% in interest. how much will her car payment each month?

Answers

Answer: 232$ Per month

Step-by-step explanation:

Salid bought 35 feet of window trim at a hardware store. The trim cost $1.75 per foot,including sales tax. If salid paid with a $100.00 bill, how much change should he have received?

Answers

He should have received 38.75$

Rewrite the expression in the form x^n

Answers

Answer:

[tex]x^{-2}[/tex]

Step-by-step explanation:

[tex]\frac{x^{6}}{x^{8}}\\ = x^{6-8} = x^{-2}[/tex]

The length of a living room is 3 feet more than its width. The area of the living room is 270 square feet. Write an equation that represents the area of the living room​

Answers

Answer:

if the length is longer than width then it means its a rectangle...and equation of the area is length×breath ... therefore 270=x×3x

5.5% tax on $20 is $

Answers

Answer: $18.90

Step-by-step explanation:

Answer:

$1.1

Step-by-step explanation:

= 5.5% × $20

= $1.1

What is the slope of this line? (Count rise/run)


Answers

Answer:

-1/4

Step-by-step explanation:

Answer:

I think the answer would be , (0+1/0-4 = -1/4 )

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