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
Feliz [49]
3 years ago
8

Three times as many children as adults attended a concert on Saturday. An adult ticket cost $7 and a child’s ticket cost $3. The

theatre collected a total of $6000. How many people bought tickets?
Mathematics
1 answer:
Ierofanga [76]3 years ago
3 0

For this case we propose a system of equations:

x: Let the variable representing the number of children in the concert

y: Let the variable representing the number of adults at the concert

According to the assistance we have:

x = 3y

According to the cost we have:

3x + 7y = 6000

Substituting the first in the second equation we have:

3 (3y) + 7y = 6000\\9y + 7y = 6000\\16y = 6000\\y = \frac {6000} {16}\\y = 375

Thus, the concert was 375 adults.

On the other hand we have:

x = 3 (375) = 1125

Thus, the concert was 1125 children.

In total they were:

375 + 1125 = 1500 people

ANswer:

The concert was 1500 people

You might be interested in
Let X denote the number of flaws along a 100-m reel of magnetic tape (an integer-valued variable). Suppose Zdenote the number of
Lemur [1.5K]

Answer:

a) P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)

P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)

And we can find this probability like this:

P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728

b) P(X \leq 30)= P(X

And using the z score we got:

P(X

c) P(X

And if we use the continuity correction we got:

P(X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Continuity correction means that we need to add and subtract 0.5 before standardizing the value specified.

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(25,5)  

Where \mu=25 and \sigma=5

Part a

For this case we want to find this probability:

P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)

And if we use the z score given by:

z =\frac{x-\mu}{\sigma}

We got this:

P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)

And we can find this probability like this:

P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728

Part b

For this case we want this probability:

P(X \leq 30)

And if we use the continuity correction we got:

P(X \leq 30)= P(X

And using the z score we got:

P(X

Part c

For this case we want this probability:

P(X

And if we use the continuity correction we got:

P(X

3 0
3 years ago
F(x)= square root 2x g(x)= square root 18x find (f * g) (x). Assume x>0
ruslelena [56]

Answer:

answer is A. (f.g) (x) = 6x

3 0
3 years ago
The lines shown below are perpendicular.
elena-14-01-66 [18.8K]
The answer is True. In geometry, perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).
4 0
2 years ago
Read 2 more answers
One third of a number
rodikova [14]
Well the thing is you didn't tell us which number but if it is 12 then i strongly believe that the answer is 3/9
7 0
3 years ago
Read 2 more answers
Solve the system of equations:
Ahat [919]

Answer:

Step-by-step explanation:

z = 3

2y + z = 1

2y + 3 = 1        {substituting z =3}

2y = 1 -3

2y = -2

y = - 2/2

y = -1

2x +3y +2z = 13

2x + 3 * (-1) + 2*3 = 13      { {substituting z =3} and y = -1}

2x -3 + 6 =13

2x + 3 = 13

2x  = 13 - 3

2x= 10

x = 10/2

x = 5

8 0
3 years ago
Other questions:
  • Use the change of Base formula to evaluate log5 92 . then convert. Log5 92 to a logarithm in base 3. Round to the nearest thousa
    11·2 answers
  • Write the next two terms in the pattern. 3, 10, 17, 24, . . .
    7·2 answers
  • Draw a tree diagram illustrating the events, two cards are drawn in succession with replacement from a standard deck of 52 and i
    12·1 answer
  • If someone could answer this problem and explain how to do it that would be a HUGE help thanks-
    9·2 answers
  • Write an equation in point-slope form for the line that passes through each point with the given slope.
    9·1 answer
  • On a normal distribution if IQ test scores, with a mean of 100 and a standard deviation of 15 points, a score of 85 places you a
    9·1 answer
  • christian and steven are learning how to ski. Justin falls down every 30 feet. mike falls down every 25 feet. if they both start
    7·1 answer
  • Please help me solve this equation i need step by step explaining 3x + 2= x+4(x+2)
    14·2 answers
  • Aldo drives a truck for a soft drink company. His truck is filled with 15 ounce cans and 70 ounce bottles. Let c be the number o
    13·1 answer
  • Charlotte owns two entertainment websites. Here are some details about those websites for one entire month: Website A Website B
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!