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
DedPeter [7]
3 years ago
14

An old movie theater charges $4 for an adult and $2 for a child's ticket. One night, 380 tickets were sold for a total of $1320.

How many children attended the movie that night?​
Mathematics
1 answer:
insens350 [35]3 years ago
5 0

Answer: 0

Step-by-step explanation:

Let statements :

Let x be the number of tickets sold for an adult

Let y be the number of tickets sold for a child

Equations :

x + y = 280  OR  y = 280 - x

4x + 2y = 1320

Substitution (sub the 2 equations in together) :

4x + 2(280 - x) = 1320

4x + 560 - 2x = 1320

2x = 1320 - 560

x = 760/2

x = 380

x is the number of tickets sold for the adults. meaning that 380 adults went.

Find the # of children :

x + y = 380

we know that x = 380

380 + y = 380

y = 380 - 380

y = 0

Conclusion :

No children went because the movie was rated R. Only adults attended.

You might be interested in
Write a quadratic function in standard form having zeros of -9 and -12
tia_tia [17]
(x + 9)(x + 12) = 0
Expanding the brackets, we get:
x^{2}+21x+108=0
3 0
3 years ago
businessText message users receive or send an average of 62.7 text messages per day. How many text messages does a text message
KiRa [710]

Answer:

(a) The probability that a text message user receives or sends three messages per hour is 0.2180.

(b) The probability that a text message user receives or sends more than three messages per hour is 0.2667.

Step-by-step explanation:

Let <em>X</em> = number of text messages receive or send in an hour.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em>.

It is provided that users receive or send 62.7 text messages in 24 hours.

Then the average number of text messages received or sent in an hour is: \lambda=\frac{62.7}{24}= 2.6125.

The probability of a random variable can be computed using the formula:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!} ;\ x=0, 1, 2, 3, ...

(a)

Compute the probability that a text message user receives or sends three messages per hour as follows:

P(X=3)=\frac{e^{-2.6125}(2.6125)^{3}}{3!} =0.21798\approx0.2180

Thus, the probability that a text message user receives or sends three messages per hour is 0.2180.

(b)

Compute the probability that a text message user receives or sends more than three messages per hour as follows:

P (X > 3) = 1 - P (X ≤ 3)

              = 1 - P (X = 0) - P (X = 1) - P (X = 2) - P (X = 3)

             =1-\frac{e^{-2.6125}(2.6125)^{0}}{0!}-\frac{e^{-2.6125}(2.6125)^{1}}{1!}-\frac{e^{-2.6125}(2.6125)^{2}}{2!}-\frac{e^{-2.6125}(2.6125)^{3}}{3!}\\=1-0.0734-0.1916-0.2503-0.2180\\=0.2667

Thus, the probability that a text message user receives or sends more than three messages per hour is 0.2667.

6 0
3 years ago
Someone Please Help Me On This
luda_lava [24]
1) 18
2) 4
3) 27
4) 9
5) x=8
6) x=6
8 0
2 years ago
A map distance of 5 inches represents 200 miles of actual distance . Suppose the distance between two cities on the map is 7 inc
Naily [24]
\frac{5}{200} = \frac{7}{x} \\ 5x = 1400 \\ x = 280

therefore, the actual distance is 280 miles. 

(sorry, idk the rule for it)
7 0
2 years ago
Read 2 more answers
Corresponding Angles are congruent.
Maurinko [17]

Answer:

Angle 5

Step-by-step explanation:

angle 5 corresponds with angle 3 i believe

6 0
3 years ago
Other questions:
  • Can somebody help me out with this please?
    14·1 answer
  • If the nth term of the sequence -1 , 4, 9, 14..... Is 129. Then find the value of n. ​
    10·2 answers
  • Select all the rules for the translation of LaTeX: \Delta RSTΔ R S T.
    7·2 answers
  • Graph y=-2(x+1)^2+4 (must show all work that leads to your graph) please help
    13·1 answer
  • Q4. Renna went on a journey that took 712 hours. The journey started at 22 48 on Monday. At what time and day did the journey fi
    7·1 answer
  • What is the value of -5 in f(x)=-x^2+0.5x-5
    7·2 answers
  • Please help I will mark Brainly if u give me answer quickly
    9·1 answer
  • Plz i need help am i am new an plz help help
    10·2 answers
  • Can someone help me with this?
    13·1 answer
  • The sales tax for an item was $6.40 and it cost $320 before tax.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!