A movie theater charges $10 for adults and $6 for seniors. On a particular day when 357 people paid in admission, the total receives were $2414

How many who paid were adults?

How many who paid were seniors?

Answers

Answer 1

Answer:

Step-by-step explanation:

Determine the types of tickets involved.

There are student tickets and adult tickets.

Create a table to organize the information.

Type  

Number

   

Value ($)

   

Total Value ($)

 

Student    

6

 

Adult    

9

 

1

,

506

 

Step 2. Identify what you are looking for.

We are looking for the number of student and adult tickets.

Step 3. Name. Represent the number of each type of ticket using variables.

We know the number of adult tickets sold was  

5

 less than three times the number of student tickets sold.

Let  

s

 be the number of student tickets.

Then  

3

s

5

 is the number of adult tickets.

Multiply the number times the value to get the total value of each type of ticket.

Type  

Number

   

Value ($)

   

Total Value ($)

 

Student  

s

   

6

   

6

s

 

Adult  

3

s

5

   

9

   

9

(

3

s

5

)

 

1

,

506

 

Step 4. Translate: Write the equation by adding the total values of each type of ticket.

6

s

+

9

(

3

s

5

)

=

1506

 

Step 5. Solve the equation.

6

s

+

27

s

45

=

1506

33

s

45

=

1506

33

s

=

1551

s

=

47

students

 

Substitute to find the number of adults.

3

s

5

=

 number of adults

3

(

47

)

5

=

136

 adults

Step 6. Check. There were  

47

 student tickets at  

$6

 each and  

136

 adult tickets at  

$9

 each. Is the total value  

$1506

?

 We find the total value of each type of ticket by multiplying the number of tickets times its value; we then add to get the total value of all the tickets sold.

47

6

=

282

136

9

=

1224

_____

 

1506

 

Step 7. Answer the question. They sold  

47

 student tickets and  

136

 adult tickets.


Related Questions

PLEASE HELP ME

A student bought 24 pencils for every 16 markers. The number of pencils bought is directly proportional to the number of markers.
What is the constant of proportionality that relates the number of pencils to the number of markers?
5/3
2/3
3/2
3/5

Answers

I think that it would be 3/2 because you are simplifying the fractions 24/16.

Select all values of x that make the inequality −x+6≥10 true.




-3.9


4


-4.01


-4


4.01


3.9


0


-7

Answers

This is because the 6 is dropping value due to the denomter of so there it is -3.9

ILL MARK BRAINLIEST TO FIRST PERSON THAT ANSWERS CORRECTLY!

Annita baby sits at a rate of $7 per hour. Identify the type of relationship this represents. Explain your answer.​

Answers

Answer: The relationship is proportional.

Step-by-step explanation: Because the baby sitters work corresponds to their hourly pay. (I think)

ASAP HELP NEEDED, TAKING A TEST

Question: Based on the data set above for the hours per day sixth graders spend using an electronic device, what is the mean number of hours sixth graders use an electronic device?
No links, useless words, or anything like that. I will report you.

Answers

Answer:

Step-by-step explanation:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

1+1+1+1+2+3=9

2+4+4+5+6+6+7+8+8=50

50/9=5.55555555556

or

9/50=0.18

Resuelve la siguiente operacion con su proceso: 3 x( 2 + 4 x 3 ) - 2 x( 3 x 2 - 2 x 2 )+ 5 - 2= Es urgente!

Answers

Answer:

41

Step-by-step explanation:

Usando BODMAS, entonces que tenemos

(2 + 4 * 3) =

(2 + 12) =

14

Con el segundo uno, tenemos

(3 * 2 - 2 * 2). Con esto, dices que

(3 * 2) - (2 * 2) =

6 - 4 =

2

Y ahora, decimos que

3 * (14) - 2(2) + 5 - 2 =

42 - 4 + 3 =

42 - 1 = 41

Nos respuesta a la pregunta es 41. Espero que tú entiendas

I did my best to fit it all lol, can someone please help? <3

Answers

Answer:

8a. 0 8b. -1/3

Step-by-step explanation:

slope formula: [tex]\frac{y_{2} - y_{1}}{x_{2} - x{1}}[/tex]

8a. => (8 + 12)/(17 - 17) = 20/0 = 0

8b. (1 + 2)/(-3 - 6) = 3/-9 = - 1/3

Answer:

8a: 0 8b: -1/3

Step-by-step explanation:

slope is y2-y1/x2-x1

8a: 8+12/0=0

8b: 1+2/-3-6=3/-9=-1/3

Write the phrase as an expression. Then evaluate the expression when y = 12. the difference of a number y and 9 The expression is The value of the expression is​

Answers

Answer:

12-9 i think

Step-by-step explanation:

Because it says the difference if a number y and 9. If y equals 12 then shouldn't it be 12-9?

11. Oliver had $10. On his birthday, he received $25. Use the equation below to find how much money Oliver has now. equation: 10 + 25 = m *

Answers

Answer: 35

Step-by-step explanation:

write the following quotient in scientific notation:

Answers

Answer:

0.7

Step-by-step explanation:

Please help i'm not doing good in math i will give you the crown

Answers

Answer:

B

Step-by-step explanation:

The format for quadrant 2 would be (-,+) and answer choice be fits that because it is(-3,2)

Here is some more
Find the value of x: 3x−7=8x+23

Answers

Answer: x=6

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

Subtract 3x from both sides to get -7=5x+23.

Subtract 23 from both sides to get -30=5x.

Divide 5 from both sides.

x = -6.

Find the area.I will mark the BRAINIEST

Answers

Answer: C. 64 ft

Step-by-step explanation:

If the buses run on schedule, when is the next time a red line and a blue line bus will leave together? Show your work.

Answers

Answer:

So the next time they will leave together is 4:24 pm

Step-by-step explanation:

Since both the buses left at 4 pm and red line bus leaves every 6minutes and blue line bus leaves every 8 minutes they next time they leave together can be found by taking the L.C. M of 6 and 8.

The L.C. M is found by multiplying all the factors and chosing one which common in both numbers.

Factors of 6 = 2*3

Factors of 8= 2*2*2

In these numbers 2 is common in both.The rest of the numbers( 2*2*3 )are multiplied with the the common 2 to get the L.C.M

L.C.M= 2*2*2*3= 24 minutes

So the next time they will leave together is 4:24 pm

someone please help me answer this question

Answers

Answer:

10. $33.5, c=3.50r+9

11. $51

Step-by-step explanation:

On an island there are 7 cities each 2 of them connected by a direct road they are building a 8th city they also want it to connect with the other 7 existing cities how many roads will there be after they build the 8th city

Answers

Answer:

After the 8th city is built there will be 28 roads between the cities

Step-by-step explanation:

The given parameters are;

The number of cities initially on the island = 7 cities

The number of roads between each 2 cities = 1 road

Therefore, we have the number of roads between the 7 cities are;

7 cities taking 2 at a time = ₇C₂

[tex]_7C_2 = \dfrac{7!}{(7 - 2)!\cdot 2!} = 21[/tex]

The initial number of roads between the 7 cities = 21 roads

The number of roads, 'n' there will be after the 8th city is built is therefore;

[tex]n = _8C_2 = \dfrac{8!}{(8 - 2)!\cdot 2!} = 28[/tex]

The number of roads there will be after the 8th city is built, n = 28 roads.

If (5^n)^3 = 5^12 then n= ?
6

Answers

Answer: n=4

Step-by-step explanation:

Uh I did some trial and error and it came up with the right answer

Which of the following is a factor of 21?​

Answers

Answer:

The factors of 21 are 1, 3, 7 and 21. A factor is a number that can divide evenly into a given number. Because 21 can be divided by numbers other than itself and 1, it is called a composite number. Every number has 1 and itself as a factor. Numbers that have no other factors are called prime numbers.

Step-by-step explanation:

Doug is in line at the store. He has three items that cost ​$4.50​, ​$3.05​, and ​$1.50. Explain how Doug can add the cost of the items mentally before he pays for them.

Answers

Answer:

He can add through calculater or by doing addition in his mind

You track the temperature from the time you you eat your lunch to the time you go to bed. you find that it drops 2 decrease each other for 10 hours. which expression that shows the change in temperature?

Answer:
-2 times 10 or
-2*10

Answers

Answer:

they both are multiplucation Which means they both increse so ether the answers are wrong or the question its self is wrong.

The Ferris wheel at a state fair has a radius of 60 feet,
rotates at a constant speed, and completes 1 rotation in
4 minutes. How many degrees does the Ferris wheel
rotate in 30 seconds?
A. 20°
B. 24°
C. 30°
D. 45°
E. 48°

Answers

I think the answer is E

Question 10 of 10
Sample A and sample B are from the same population. If the sample
proportion for sample A is 0.53, the sample proportion for sample B has to be
0.53
A. True
B. False


Answer is false

Answers

Answer:

It’s false

Step-by-step explanation:

It doesn’t need to be the same

Divide the polynomial in the numerator by the monomial in the denominator. Simplify your answer. 20x^5 – 6x^4 + 12x^3 + 12x^2 10x^2​

Answers

Step-by-step explanation:

do u have a picture? its mixed up

Answer:

 2x • (2x2 + 1) • (5x - 3)

Step-by-step explanation:

5.4    Find roots (zeroes) of :       F(x) = 2x2 + 1

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  2  and the Trailing Constant is  1.

The factor(s) are:

of the Leading Coefficient :  1,2

of the Trailing Constant :  1

Final result :

 2x • (2x2 + 1) • (5x - 3)

determine equation for line that is perpendicular to x=-2 and passes through the point (6,1)​

Answers

Answer:

y = 1

Step-by-step explanation:

Please help ill give brainlest

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

7x + 2y - 3 = 0 in slope intercept form.

Answers

Answer:

y=(-7/2)x+3

Step-by-step explanation:

7x+2y-3=0

7x+2y=3

2y=-7x+3

y=(-7/2)x+3

Answer:

y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

7x + 2y - 3 = 0 ( subtract 7x - 3 from both sides )

2y = - 7x + 3 ( divide each term by 2 )

y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex] ← in slope- intercept form

What is
7.5% tax on
a $18
sweater?

19.35 or 1.35

Answers

Answer:

$1.35 will be your answer

Step-by-step explanation:

18 x 0.075 = 1.35

Answer:

[tex]1.35[/tex]

Step-by-step explanation:

7.5% of 18$ is 1.35.

It would make no sense if the tax cost more than the actual item.

Alyssa has 30 pencils, where 60% of the pencils are sharpened. How many sharpened pencils does Alyssa have?

Answers

Answer:

18 sharpened pencils

Step-by-step explanation:

Total = 30 pencils

100% = 30 pencils

1% = 30 ÷ 100 = 0.30

60% = 0.30 x 60 = 18

Answer:

18 sharpened pencils

Step-by-step explanation:

the percent 3/5 can be multiplied by 6 to give u 18/30

Devontae and three of his friends drive the Pennsylvania Turnpike from Ohio to New Jersey. If they split the $47.00 toll equally, how much does each person pay?

Answers

11.75 each 47 divide by 4

Bella surveyed the first 15 students in the lunch line.
Is this sample of the students in the school likely to be representative?
yes
no

Answers

Answer:

No

Step-by-step explanation:

Only people in the lunch line got surveyed, that on it's own is biased.

Only 15 people out of the entire school.

Only the first people got surveyed.

What is the value of tan x

Answers

Answer:

THE ANSWER HAS TO BE 6/10

Step-by-step explanation:

be careful there are people scamming on this app
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