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
Katarina [22]
3 years ago
12

10. A movie theater advertises that a family of two adults, one student, and one child between the ages of 3

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
8 0

Answer:

Students ticket = $4

Child ticket = $1

Adult ticket = $5

Step-by-step explanation:

Let the price of the student ticket be $x and the price of a child ticket be $y.  An adult ticket costs as much as the combined cost of a student ticket and a child ticket, so the price of one adult ticket is $(x+y).

1. A movie theater advertises that a family of two adults, one student, and one child between the ages of 3 and 8 can attend a movie for $15. Then

2(x+y)+x+y=15

2. If you purchase 1 adult ticket, 4 student tickets, and 2 child tickets for $23, then

(x+y)+4x+2y=23

Now, solve the system of two equations:

\left\{\begin{array}{l}2(x+y)+x+y=15\\ \\(x+y)+4x+2y=23\end{array}\right.\Rightarrow \left\{\begin{array}{l}3(x+y)=15\\ \\5x+3y=23\end{array}\right.\\ \\\left\{\begin{array}{l}x+y=5\\ \\5x+3y=23\end{array}\right.\\ \\\left\{\begin{array}{l}y=5-x\\ \\5x+3(5-x)=23\end{array}\right.

Solve the last equation

5x+15-3x=23\\ \\2x=23-15\\ \\2x=8\\ \\x=4\\ \\y=5-x=5-4=1

Students ticket = $4

Child ticket = $1

Adult ticket = $5

natta225 [31]3 years ago
5 0

Answer:

The ticket prices will as follows:

Students ticket = $4

Child ticket = $1

Adult ticket = $5

Step-by-step explanation:

Thinking process:

Let the price of the student ticket be $x and the price of a child ticket be $y.  An adult ticket costs as much as the combined cost of a student ticket and a child ticket, so the price of one adult ticket is $(x+y).

1. A movie theater advertises that a family of two adults, one student, and one child between the ages of 3 and 8 can attend a movie for $15. Then

2. If you purchase 1 adult ticket, 4 student tickets, and 2 child tickets for $23, then

Now, solve the system of two equations:

Solve the last equation

Students ticket = $4

Child ticket = $1

Adult ticket = $5

You might be interested in
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as
Paraphin [41]

Answer:

The probability of not spinning a 5, flipping heads, then spinning a 1 is 0.08

Step-by-step explanation:

I may assume the spin contains 5 numbers ( plz change and recalculate if the no. of numbers is different)

P(not spinning a 5) = 4/5

P(flipping head) = 1/2

P(spinning 1) = 1/5

P(not spinning a 5, flipping heads, then spinning a 1)= 4/5   *    1/2   *   1/5 = 0.08 = 0.1

5 0
3 years ago
Hey do any of yall now what 65'6 x777
katrin2010 [14]

Answer:

If you mean 656, then the answer is 509,712.

Edit: If you're talking about measurements, then it would be 50,893 feet and 6 inches.

6 0
2 years ago
A? ________ is an arrangement of r objects chosen from n distinct objects without repetition and without regard to order
aliya0001 [1]
If we do not care about order, then a combination is an arrangement of r objects chosen from n distinct objects. It can often be seen written as:

^{n}C_r or \left(\begin{array}{cc}n\\r\end{array}\right)

Its factorial form is:

^{n}C_r = \frac{n!}{r!(n - r)!}
3 0
3 years ago
Given the equation , which set of values for a and
Harrizon [31]

Answer:

there is no picture...

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which rule describes the composition of transformations that maps figure ABCDE to figure A"B"C'D"E"? 90 degree rotation about po
Gemiola [76]

Answer:

A

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • A bag contains 8 blue marbles, 6 red marbles, and 4 green marbles. What is the probability of se
    6·1 answer
  • Please someone help me on 7 and 8!!
    11·2 answers
  • 3. Machine A packs 4, cartons in 5 hour.
    5·1 answer
  • Parallelogram A=9.18m2 b=2.7m h=___?
    11·1 answer
  • True or false: do line plots display individual data?
    13·1 answer
  • Please please Help me!!!!!
    5·1 answer
  • All I am is a man I want the work in my hands I hate the beach but I stand in California with my toes in the sand......
    12·1 answer
  • PLEASE HELP!!!!!!!!! WILL MARK BRAINLIEST!!
    13·1 answer
  • If a = 3 and b = 2, what is the value of the expression a ⋅ b.
    12·1 answer
  • Find the missing side of the triangle.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!