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
marishachu [46]
1 year ago
13

The theater sells two types of tickets: adult tickets for $6 and child tickets for $4.

Mathematics
1 answer:
andrey2020 [161]1 year ago
4 0

Answer:

237

Step-by-step explanation:

This is a system of equations.

The theater sold 364 adult and child tickets, so a + c = 364

They made a total of $1930. Each adult ticket was $6 & child tickets were $4. The second equation is 6a + 4c = 1930.

Let's line them up

a  +  c = 364

6a + 4c = 1930

Since we need to solve for the number of adult tickets, we want to get rid of the c variable. I'm going to multiply the entire first equation by -4 to do this. The second equation stays the same. Now, I have:

-4a - 4c = -1456

6a + 4c = 1930            Add them together

----------------------

2a = 474                      Divide by 2 to solve for a

a = 237

There were 237 adult tickets sold

You might be interested in
In a school of 2000 students, 1150 do not like puzzles. 2/5 of the students travel to school by bus. 595 of the people that do l
Vadim26 [7]

The number of students who do not like puzzles and ride the bus to school is 205

To find the answer it is necessary to do the following procedure:

To find out how many people the 2/5 traveling by bus are equivalent to, divide the total number (2000) of people by 5, and then multiply that value by 2.

  • 2000 ÷ 5 = 400
  • 400 × 2 = 800

From the above, it can be established that 800 people travel by bus to school. Now, to know how many people travel by bus and do not like puzzles, the following operation must be done.

Subtract the number of students who do like puzzles and ride the bus (595) from the total number of students who ride the bus (800)

  • 800 - 595 = 205

So the answer is 205 students ride the bus and they don't like puzzles.

Learn more at: brainly.com/question/24558946

6 0
2 years ago
-2(3x+4)<-4+8 solve the inequality
Shtirlitz [24]

Answer:

Inequality: x > -2

Interval Notation: ( -2, ∞)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
HELP ASAP PLZ 15 points!<br> ............
Allisa [31]

Well I would say A because it went from 8 to 38 which is plus ten.

7 0
3 years ago
Read 2 more answers
Ten years ago 53% of American families owned stocks or stock funds. Sample data collected by the Investment Company Institute in
Alborosie

Answer:

a) Null hypothesis:p\geq 0.53  

Alternative hypothesis:p < 0.53  

b) z=\frac{0.46 -0.53}{\sqrt{\frac{0.53(1-0.53)}{300}}}=-2.429  

p_v =P(Z

c) So the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of American families owning stocks or stock funds is significantly less than 0.53 .  

Step-by-step explanation:

Data given and notation

n=300 represent the random sample taken

\hat p=0.46 estimated proportion of American families owning stocks or stock funds

p_o=0.53 is the value that we want to test

\alpha=0.01 represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

Part a

We need to conduct a hypothesis in order to test the claim that proportion is less than 0.53 or 53%.:  

Null hypothesis:p\geq 0.53  

Alternative hypothesis:p < 0.53  

Part b

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.46 -0.53}{\sqrt{\frac{0.53(1-0.53)}{300}}}=-2.429  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.01. The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

p_v =P(Z

Part c  

So the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of American families owning stocks or stock funds is significantly less than 0.53 .  

7 0
3 years ago
Equivalent fraction one over two
Bumek [7]
Two over four because you just multiply by two2/4
7 0
3 years ago
Other questions:
  • If Huey measures out his section and has a pair of supplementary angles, and one angle is 112 degrees, what is the other angle?
    13·1 answer
  • What is the value of x in inches
    10·1 answer
  • The amount of turn between two straight lines that have a common end point is called __________.
    11·1 answer
  • Help please, I have a test!! HELP!!!!!!
    12·1 answer
  • 11/9 converted to a mixed number is
    8·1 answer
  • Please help!! Use the transversal drawing that I created and find the value of X and the value of all the other angles.
    13·1 answer
  • The ratio of Luke's age to Jack's age is 3:2. If Luke is 36, how old is Jack?
    7·2 answers
  • Compare. Write &lt;,&gt;, or =. (Example 1)
    14·1 answer
  • Marie has renters insurance that she must pay twice a year. If each payment is $96, how much money should she set aside each mon
    7·1 answer
  • Please help me- i need this question asap
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!