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
trasher [3.6K]
2 years ago
8

Tickets are $10 for adults, a, and $5 for students, s, and they expect that twice as many students as adults will attend Their g

oal is to earn $1,500 from ticket sales. Write a system of equations to model the ticket sales, assuming the student councll> meets their goal. Use the model to determine the number of adult tickets and student tickets they expect to sell. Show work.
Mathematics
1 answer:
mariarad [96]2 years ago
7 0

Using a system of equations, it is found that they expect to sell 175 adult tickets and 350 student tickets.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable a: Number of adults that attend.
  • Variable s: Number of students that attend.

They expect that twice as many students as adults will attend, hence:

s = 2a.

Their goal is to earn $1,500 from ticket sales, hence:

10a + 5s = 1500.

10a + 5(2a) = 1500.

20a = 1500.

a = 1500/20.

a = 175.

s = 2a = 2 x 175 = 350.

They expect to sell 175 adult tickets and 350 student tickets.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

You might be interested in
Write the equation of a circle with the following pints in the picture using the completing the square method. Thanks
pantera1 [17]
So hmm notice the picture below

you have the center, and a point on the circle... all you need is the radius

\bf \textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;&({{ 1}}\quad ,&{{ -2}})\quad &#10;%  (c,d)&#10;&({{ 3}}\quad ,&{{ -4}})&#10;\end{array}\qquad &#10;%  distance value&#10;d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}\leftarrow  r

then use that radius in the circle's equation

\bf (x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2&#10;\qquad center\ ({{ h}},{{ k}})\qquad&#10;radius={{ r}}

8 0
3 years ago
A particle moves along a line with a velocity v(t)=t2−t−6, measured in meters per second. Find the total distance the particle t
ahrayia [7]

Answer:

10.67 m

Step-by-step explanation:

Velocity is given as;

v(t) = t² − t − 6

To get the distance, we will integrate the velocity equation.

x(t) = ∫v(t) = (t³/3) - (t²/2) - 6t

Thus, from t=0 seconds to t=4 seconds., we have;

(t³/3) - (t²/2) - 6t between 0 and 4.

Thus;

Total Distance = [(4³/3) - (4²/2) - 6(4)] - [(0³/3) - (0²/2) - 6(0)]

Total distance = (64/3) - 8 - 24 = -10.67 m

Distance can't be negative and so we take the absolute value which is 10.67 m

7 0
3 years ago
What number is 54% of 125 type an integer or a decimal round to the nearest tenth
eimsori [14]
Answer is 67.5

To get this you must first turn 54% into a decimal.
54%---> .54
125*.54= 67.5
So 54% of 125 is 67.5 <span />
4 0
3 years ago
Read 2 more answers
A sequence of numbers a1, a2, a3, . . . is defined as follows: a1 = 3, a2 = 5, and every term in the sequence after a2 is the pr
Dmitry [639]

Answer:

  (D)  t^4

Step-by-step explanation:

You have defined ...

  a3 = a2·a1

  a4 = a3·(a2·a1) = a3²

  a5 = a4·(a3·a2·a1) = a4² = (a3²)² = a3⁴

Then if a3 = t, a5 = t⁴

6 0
3 years ago
Willian and Amy are stuffing envelope for a charity today, William stuff a total of 70 envelope. This is 10 more than twice the
LiRa [457]

Answer:

30

l

because it is 10 major then we remove those ten and it gives us 60 that between 2 is 30 :))

7 0
3 years ago
Other questions:
  • A certain group of women has a 0.99​% rate of​ red/green color blindness. if a woman is randomly​ selected, what is the probabil
    15·1 answer
  • What is 35/50 as a percentage
    13·2 answers
  • you work on a farm where you gather eggs each morning if you gathered 60 eggs from 15 chickens what is the rate of eggs per chic
    11·2 answers
  • Which statement best describes the relationship represented by the scatterplot?
    12·1 answer
  • What is 66.875 as a mixed number in simplest form.?
    5·1 answer
  • The floor of a square bedroom has an area of 169 square feet. The length of each side of the bedroom floor is__________feet.
    11·1 answer
  • Write the​ slope-intercept form of the equation of the line satisfying the given conditions. through ​(1 ​,6​); slope negative 4
    12·1 answer
  • Find the volume of the cone
    10·2 answers
  • A group of students was asked about the number of e-mails they each sent that day. The results are: 0,0,0,0,1,2,2,3,5,5, 8, 9, 1
    8·1 answer
  • What is the definition of cause and effect structure?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!