1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Julli [10]
3 years ago
5

a drama club is selling tickets to the spring musical. the auditorium hold 200 people. tickets cost $12 at the door and $8.50 if

purchased in advance. the drama club has a goal of selling at least $1000 worth of tickets to saturday’s show. write a system of inequalities that can be used to model this scenario
Mathematics
2 answers:
Eddi Din [679]3 years ago
8 0

As per the problem

The auditorium hold 200 people.

Also the tickets cost $12 at the door and $8.50 if purchased in advance.

The drama club has a goal of selling at least $1000 worth of tickets to Saturday's show.

Let total number of tickets purchased at door be x and the number of tickets purchased in advance be y.

Then revenue for x tickets =12x

Revenue from y tickets=8.50y

Hence the inequality can be set up as below

x+y\leq 200, \text{    Because the maximum capacity is 200}

12x+8.50y\geq 1000

x>0,y>0

noname [10]3 years ago
3 0
12•x+8.50•y>=1,000
x+y=<200

X-number of tickets sold at the door
Y-number of tickets sold in advance
You might be interested in
G(-4, -8) and H(-15, -3). What is the slope of GH?
Masteriza [31]

Answer:

G(x1,y1)= (-4,-8)

H(x2,y2)=(-15,-3)

Slope = (y2-y1)/(x2-x1)

=(-3-(-8))/ (-15-(-4))

= (-3+8)/(-15+4)

=5/-11

3 0
3 years ago
George collects 25 baseball cards each month. How many cards will he have at the end of one year? Complete the equation to help
kaheart [24]
25(cards per month) x12(months in one year) =300 cards at the end of one whole year
4 0
3 years ago
Read 2 more answers
Quan's last paycheck shows that he eamed $210.00 for 24 hours of work. What is his hourly rate of pay?
Mariana [72]

Answer:

8.57 explanation:

Step-by-step explanation: If Quan gets 210 dollars every 24 hours and you want to find the amount he gets every hour all you have to do is do 210 divided by 24 which you will get 8.75. So every hour he gets $8.75 every hour for his work

7 0
3 years ago
Read 2 more answers
Edward is collecting data on the average length of lizards from head to tail for a particular generation. Initially, the average
Zina [86]

Answer:

The general form of a natural logarithmic function is <em>f(x)=a In(x-h) +k.</em> Since the initial average length of the lizards was 20 centimeters, one possible point (h+1,k) through which the function passes is (0,20).

In this case, h= -1 since h +1 = 0 and k = 20.

It follows that x - h = (-1) = x + 1.

So, the function takes the form <em>f(x) = a In(x + 1) +20. </em>

The average length of the lizards after 2 years is 22.197. So f(2) =22.197. We substitute this value into the function

Step-by-step explanation:

<em>f(2) = a In(2 +1) +20 </em>

<em>22.197 = a In(3) + 20 </em>

<em></em>\frac{2.197}{1.099}<em>≈ a </em>

<em>2 ≈ a</em>

So the function that represents the average length of the lizards across this generation is <em>f(x) = 2 In(x+1) +20 </em>

3 0
3 years ago
Use the formula you found in the previous question to find the degree of angle B if angle A = 35 and angle C = 90.
jok3333 [9.3K]

Answer: 55

Step-by-step explanation:

90+35=125

180 is the total degrees of an angle so 180-125= 55

6 0
3 years ago
Read 2 more answers
Other questions:
  • Your income last year was $27,000 from your main job, $2,200 from a part time job and $600 from interest earned on investments.
    8·1 answer
  • Calvin is building a fence. The fence will enclose a 100 square foot area, 10 ft wide by 10 ft long. Calvin can put fence posts
    5·1 answer
  • Divide and simplify. (Type a whole number or a simplified​ fraction.)<br> 15/16 divided by 3/14
    11·2 answers
  • What is the square root of 16
    12·2 answers
  • What's 1/10 of 1,700,000 kilometers
    9·1 answer
  • You measure 49 textbooks' weights, and find they have a mean weight of 54 ounces. Assume the population standard deviation is 11
    12·1 answer
  • Find the length of the missing side.
    9·2 answers
  • What is (2) (-3) (-4)
    6·2 answers
  • A hairdresser receives a discount on each comb purchased. The original price of each comb is x dollars. The hairdresser purchase
    10·1 answer
  • Mia has a jewelry box with a length of 6 inches, a width of 4 inches and a height of 10 inches. What is the volume of Mia's jewe
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!