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
k0ka [10]
4 years ago
10

The very busy Freshman class is selling tickets for an upcoming field hockey game. The class sells 20 more student tickets than

adult tickets. The adult tickets cost $4 and the student tickets cost $2. The class made a total of $280 from ticket sales. How many of each type of ticket did they sell? Elaborate and clarify your reasoning.
1a. Define the variables in this system
b. Create equations to describe the relationships in this system between the variables
Mathematics
1 answer:
mixer [17]4 years ago
7 0

Answer:

60 student tickets and 40 adult tickets were sold

Step-by-step explanation:

Let s represent student tickets and a adult tickets, then the system of equations can be written as

s - a = 20 →(1)

2s + 4a = 280 → (2)

Multiply (1) by 4 and add to (2) to eliminate a

4s - 4a = 80 → (3)

Add (2) and (3) term by term

6s = 360 ( divide both sides by 6 )

s = 60

Substitute s = 60 into (1)

60 - a = 20 ( subtract 60 from both sides )

- a = - 40 ( multiply both sides by - 1 )

a = 40

Thus

60 student and 40 adult tickets were sold.

You might be interested in
State the equation of the line which has the y-intercept :
aliina [53]

Answer:

A general line is written as:

y = a*x + b

where:

a is the slope

b is the y-intercept.

a) y-intercept = 2 and slope = 7.

This line is:

y = 7*x + 2

b) y-intercept =  -1 and is parallel to y= 5x - 7.

Now, if two linear equations are parallel if they have the same slope and different y-intercept. Then if we want a line parallel to  y= 5x - 7, this means that the slope of this line must also be equal to 5.

y = 5*x + (-1)

c) y-intercept 2 and is inclined at 45° to the x- axis. ​

When we have an inclination of A degrees from the x-axis, the slope of the equation is given by: a = Tan(A)

In this case, we have A = 45°

Then the slope is a = Tan(45°) =  1

Then the equation of this line is:

y = 1*x + 2

4 0
3 years ago
3.7 divided by 1.1 round to the nearest hundredth
velikii [3]
The answer is 372.11.
4 0
3 years ago
Read 2 more answers
Find the volume of the cylinder. I just need the answer . Thanks
4vir4ik [10]
Calculate the area of the base (which is a circle) by using the equation πr² where r is the radius of the circle. Then, multiply the area of the base by the height of the cylinder to find the volume.
7 0
3 years ago
Find the slope of the line passes through the points (2, 5) and (9, 8).
Brilliant_brown [7]
  • The correct option is 3/7

Step by Step Explanation:

<h3>Given:</h3>

  • line passing through points (2,5) and (9,8)

<h3>To find:</h3>

  • Slope of the line

<h3>Solution:-</h3>

Here, to find the slope of line passing through two points x₁,x₁ and y₁,y₂ is given by:-

\sf m=\frac{y_2 - y_1}{x_2 - x_1}

where,

x₁ = 2

x₂ = 9

y₁ = 5

y₂ = 8

Therefore putting the values , we get

\sf \: m=\frac{y_2 - y_1}{x_2 - x_1} \\  \\  : \longrightarrow \:  \frac{8 - 5}{9 - 2}   \\  \\  : \longrightarrow \:  \frac{3}{7}

<u>Hence, the slope of line passes through the points (2, 5) and (9, 8) is 3/7.</u>

4 0
3 years ago
Helpppppppppppppp....
zhannawk [14.2K]

Answer:

linear

Step-by-step explanation:

if it were to be graphed it would create a straight line meaning it would be linear.

4 0
3 years ago
Other questions:
  • Veronica owns stocks worth 11,200. She owes 4,500 on her student loans and 800 on her credit cards. She owes 6,000 on her car th
    9·1 answer
  • Of the 50 students in an undergraduate statistics class, 60% send email and/or text messages during any given lecture. They have
    6·1 answer
  • A student theater charges $9:50 per ticket. The theater has already sold 70 tickets. Write and solve an inequality that represen
    5·1 answer
  • Josie wants to make a drawstring backpack for her friends. She has 6 friends and the total for the backpacks is 48 dollars
    8·1 answer
  • Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?
    15·2 answers
  • Helllllllllllllppppppppppppppppppppppppppppppp
    15·2 answers
  • PLEASE PLEASE HELP!<br> Find the circumference of the pizza to the nearest whole number.
    7·1 answer
  • What is the value of 4x+1
    6·1 answer
  • You are purchasing Cotton swabs that come in 2 different sized containers. One box contains 300 swabs for 2.99 and the other box
    7·1 answer
  • Please help i don’t know how to do it thank you!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!