Regal Cinemas sold a total of 8500 movie tickets. Proceeds totaled $64,600. Tickets can be bought in one of 3 ways: a matinee admission cost $5, student's admission is $6 all day, and regular admission are $8.50. How many matinee tickets were sold if twice as many student tickets were sold as matinee tickets? * Only type the number of matinee tickets that were sold

Answers

Answer 1

Answer:

900

Step-by-step explanation:

From the information given you can write the following equations:

x+y+z=8500 (1)

5x+6y+8.50z=64600 (2)

y=2x (3)

First, you can replace (3) in (2) and (1):

x+2x+z=8500

3x+z= 8500 (4)

5x+6(2x)+8.50z=64600

5x+12x+8.50z=64600

17x+8.50z=64600 (5)

Now, you have two equations:

3x+z= 8500 (4)

17x+8.50z=64600 (5)

Then, you can isolate z in (4):

z=8500-3x (6)

Next, you can replace (6) in (5):

17x+8.50(8500-3x)=64600

17x+72250-25.5x=64600

7650=8.5x

x=7650/8.5

x=900

You can replace the value of x in (3) to find y:

y=2x

y=2*900

y=1800

Finally, you can replace the value of x in (6) to find z:

z=8500-3(900)

z=8500-2700

z=5800

According to this, the answer is that 900 matinee tickets were sold.


Related Questions

The length between the bases on a baseball field is 90 feet. A scale drawing shows the distance between the bases are 2 1/2 inches. one inch on this drawing equals how many feet?

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Answer:

36

Step-by-step explanation:

X+7
——-=9
3
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Answer:

w=−7

Step-by-step explanation:

34+21=−11(w+2)

55=−11(w+2)

-55/11​​ =w+2

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Answer:

n = 15

Step-by-step explanation:

Step 1: Write equation

n/3 = 5

Step 2: Solve for n

Multiply both sides by 3: n = 15

Answer:

n = 15

Step-by-step explanation:

Step 1: Write equation

n/3 = 5

Step 2: Solve for n

Multiply both sides by 3: n = 15

Jose and his mother decide to bake a cake for his Father's birthday. Jose notices that after mixing the cake batter and placing it in the oven he says bubbles forming in the cake as it begins to rise. What explains this Phenomenon? A. Physical Change B. Chemical Change C. Neither physical nor chemical change D. Both physical and chemical change

Answers

Answer:

B) Chemical Change

Step-by-step explanation:

Physical change only changes the physical appearance of good, their chemical properties remaining same. These are usually reversible. Eg : Cutting a cake

Chemical change changes the physical composition of the product(s) involved. These are usually not irreversible. Eg : Baking of a cake, getting bubbles during bake process meanwhile

Alg I Trad Bench 1 Laurel MS 2020-2021 Section 1 8 of 308 of 30 Items Item 8 A taxi service charges a flat rate for the first 3 miles of service. For any additional mileage, the taxi service charges an additional rate per mile, x. The expression 10+2.50(x−3) represents the scenario.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

First 3 miles = flat rate

Subsequent miles = additional rate per mile x

Equation which represents the scenario :

10 + 2.50(x - 3)

If the amount charged by the taxi service for a certain trip is

10 + 2.50(x - 3)

Then. ;

10 = the flat rate charged for the first 3 seconds

2.50 = additional mile charge

x = total trip distance

Hence, (x - 3) = (total trip distance - first 3 miles) = additional miles traveled

A sphere has a diameter of 24 units. What is its volume in cubic units?
A.576pi cubic units
B.1,728pi cubic units
C.2,304pi cubic units
D 6,912pi cubic units

Pls help!!

Answers

Answer:

C.2,304pi cubic units

Step-by-step explanation:

Volume of the sphere:

V = 4/3πr³

Since d = 24 units,

r = d/2 = 12 units

Then

V = 4/3π(12³) = 2304π

Correct option is C

14. Using 1 inch = 15 feet as the scale factor, what are the blueprint dimensions of a room in a model house that is actually 30 feet x 45 feet?

O2 in x 3 in.
O 3 in 2 in
O2 in x 2 in
O 3 in x 2 in​

Answers

2 in x 3 in; you divide 30 and 45 by 15 and get 2 and 3.

19. A package of 12 confetti eggs costs $2.88.
At this rate, what is the cost of 1 confetti egg?

Answers

Answer:

0.24$

Step-by-step explanation:

Each egg costs 1/12 of 2.88.

So either you multiply 2.88 by 1/12

or you divde 2.88 by 12

Answer:

0.24

Step-by-step explanation:

you would divide 2.88 by 12 hope this helps.

Peyton recorded her height twice a year. She grew 5 1/4 inches in 3 1/2 years. What was Peyton’s average growth rate per year?

Answers

Height in which Peyton grew in 3 ½ years = 5 ¼ inches

Height Peyton grows each year =

= 5 ¼ ÷ 3 ½

= 21/4 ÷ 7/2

= 21/4 × 2/7 ( division of fractions is the same as multiplication with reciprocal )

= 42/28

Let us simplify this by dividing the numerator and denominator by 2 .

= 42 ÷ 2 / 28 ÷ 2

= 21/14

= 1 7/14 inches

Peyton's average growth rate per year was 1 7/14 per year . Let us simplify it .

= Both 7 and 14 are divisible by 2 .

So , 1 whole 7 ÷ 2 / 14 ÷ 2

= 1 whole 1/2

= 1 1/2

Therefore , Peyton's average growth rate per year was 1 1/2 inches .

The cost C, in dollars, for delivered pizza depends on the number p of pizzas ordered. The situation is represented by the function rule C equals 5 plus 9 p. Would the graph be continuous or discrete? Explain your answer.

Answers

Answer: discrete

Step-by-step explanation:

The graph would be discrete, because you can only order a whole number of pizzas. This means you cannot have 0.4 of a pizza or 3/5 of a pizza. Therefore, p can only be whole numbers, so you cannot draw a line through the points, since prices for non-whole pizzas are not possible.  

Need help ASAP Tysm

Answers

Answer:

16.81

Step-by-step explanation:

4.1x4.1=16.81

The correct answer will be B

4. Suppose the the function f(x) = 5x + 7
represents the cost to play x rounds of
golf at the local mini-golf attraction. If you
have $20, how much more money do
you need to play 3 rounds of golf?
A. $22
C. $2
B. $15
D. $5

Answers

Answer:

c

Step-by-step explanation:

c

A local mechanic charges customers a flat fee of $60 before any work is done in the rate of 85 per hour for labor which equation represents the relationship between the total charge for labor L in dollars and the number of hours worked h?

Answers

Answer:

im not sure but here u go 85x+60

Which set of points is a function i will give brainliest if correct♡︎シ☀︎︎

Answers

Answer:

C

Step-by-step explanation:

i think it's C hope this helps you

Answer:

B

Step-by-step explanation:

i think.( am i correct?)

SksisjsjsjsssnksisnsbxnxlxodjsbsbdfjfJ

Answers

uhhhh yea i agree as well

Solve for n
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Answers

Answer:

n = 4

Step-by-step explanation:

(40 - 2n) ÷ 4 = 8

10 - 0.5n = 8

-0.5n = 8 - 10

-0.5n = -2

n = 4

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

the correct answer is n=4


Which graph has a rate of change of zero?

Answers

Answer:

graph #x

Step-by-step explanation:

where are the graphs

Post a pic of the graphs

For The 10% Of People That See This, Hope You Have The Best Day!

Answers

Answer:

Ah thank you, you too from me.

f(2) = ? pls helpppppp

Answers

Answer:

-2

Step-by-step explanation:

f(2): take the (2) from the f(2) because that's the x value.

you go to where it's 2 on the x-axis.

f(x)=f(2)

f(x)=y

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whichhh is -2

Answer: the slope is 2

6) The wind blew away 35 of your muffins.
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Answers

Answer:

42 muffins

Step-by-step explanation:

In order to find the answer, you would divide 35 by 5/6 which would equal 42. So you started with 42 muffins.

Hope this helps and pls do mark me brainliest if you can:)

Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat.
If cat and dog start running away from each other how far away from each other will they be after 30 minutes?

Answers

Answer;

They will be 0.5x miles away from each other

Explanation;

Since the dog runs twice the speed of the cat

Its speed will be 2 * x = 2x mph

Now we want to know how far they will be from each other after 30 minutes

Kindly note that 30 minutes is 1/2 hour

Mathematically;

distance = speed * time

Distance of cat = x * 1/2 = 0.5x miles

Distance of dog = 2x * 0.5 = x miles

The dog is x - 0.5x miles = 0.5x miles away from the cat

They will be 0.5x miles away from each other.

Calculation of the distance:

Since Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat.

So here the speed of the dog should be 2x

Now we know that

[tex]Distance = speed \times time\\\\[/tex]

Here distance of cat should be x of 30 minutes or half hour = 0.5x miles

And, Distance of dog should be 2x of 0.5 = x miles

So, the difference should be

= x - 0.5

= 0.5x miles

hence, They will be 0.5x miles away from each other.

Learn more about speed here: https://brainly.com/question/1825528

Help which one is it

Answers

Answer:

addition of property of equation

Step-by-step explanation:

You have to move the -3 by adding it to both sides and since the other number is negative you get 1

Answer:

Addition property of equality


Candace is a salesperson at the local boat store. She receives a 14% commission on every sale that she makes. How much commission does Candace
make on a boat that sells for $1,995?

Answers

Answer: 00000

Step-by-step explanation:

Jane's garden is 3.4 meters by 6.5 meters. If fencing costs $2.25 per meter, how much will it cost to put fence around her garden?

Answers

$49.73

because you would multiply the length and width of the fence then multiply by the price.

3.4 x 6.5 = 22.1

22.1 x 2.25 = 49.725

but you would round because you are dealing with money

0.067318 to 2 significant figures

Answers

In two significant figures it is 0.067.

An aquarium is being filled at a rate of 2.5 inches per second. The equationLaTeX: y=2.5xy = 2.5 x is used to determine the height of the water after LaTeX: xx seconds. Find the domain and range of the situation if it takes 60 seconds to fill the aquarium.

Answers

Answer:

Step-by-step explanation:

Given the equation y = 2,5x

y is the height of the water

x is the time.

To get the range of values of the height at t = 60s, we will substitute x = 60 into the function

y = 2.5(60)

y = 150 in

Hence the range of the situation is [0, 150].

The domain will be all positive integers i.e xEZ

You work in a grocery store warehouse recording shipments. A driver delivers 25 crates of strawberries for distribution. A store calls needing seven crates of strawberries. After you fill this order, how many crates of strawberries are available for other stores?

Answers

Answer:

18 crates

Step-by-step explanation:

Data provided in the question

The Number of  strawberries for distribution delivered is 25 crated

Now he seven crates is required

So the remaining crates left is

= 25 - 7

= 18 crates

hence, after filling the order the number of order crates of strawberries is 18 crates and the same is to be considered

the length of the swimming pool is 8 m longer than its width and the area is 105 m squared write in quadratic equation ​

Answers

Answer:

Step-by-step explanation:

The length of the swimming pool is 8m longer than it's width.

If we say L = length, W = width

From the information above, we can say

L= 8 + w

We are also told the area is 105 m squared.

Note:

Area of a Rectangle = Length x Width

105 =  (8 + w ) x w

[tex]105 = 8w + w^2\\[/tex]

Subtract 105 from both sides:

[tex]w^2 + 8w - 105 = 0[/tex]

Given the relation y = −4x2 − 8, if the input is 2, what is the output

Answers

Y equals negative 24 because you multiply the negative 4 and the two to get -8 then you multiply -8 with positive 2 to get -16 - 8. Then you subtract that and you get -24 as your answer.

Select all the true statements. Group of answer choices The ratio of triangles to squares is 2 to 4. The ratio of squares to smiley faces is 6:4. The ratio of smiley faces to triangles is 6 to 4. There are two squares for every triangle. There are two triangles for every smiley face. There are three smiley faces for every triangle.

Answers

Answer:

The ratio of triangles to squares is 2 to 4

There are two squares for every triangle.

There are three smiley faces for every triangle.

Step-by-step explanation:

The number of triangles, smiley and squares are shown in the diagram attached.

From the diagram, there are 6 smiley faces, 2 triangles and 4 squares.

A ratio compare two or more values, thereby showing how many times one number contains the other.

A) Correct. The ratio of triangles to squares = number of triangle / number of square = 2 / 4 = 2 to 4

B) Incorrect. The ratio of squares to smiley faces = number of square / number of smiley face = 4 / 6 = 4 to 6

C) Incorrect. The ratio of smiley faces to triangles = number of smiley faces / number of triangles = 6 / 2 = 6 to 2

D) Correct. Since the ratio of squares to triangles =  number of squares / number of triangle = 4 / 2 = 2 / 1 = 2 to 1, hence there are two squares for every triangle

E) Incorrect. Since the ratio of triangles to smiley faces =  number of triangle / number of smiley faces = 2 / 6 = 1 / 3 = 1 to 3, hence there is one triangle for every 3 smiley faces

F) Correct. Since the ratio of smiley faces to triangles =  number of smiley faces / number of triangles = 6 / 2 = 3 / 1 = 3 to 1, hence there is 3 smiley faces for every one triangle

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