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

How to calculate tan sin cos on calculator ?

Answers

Step-by-step explanation:

Put in sin, tan or cos and put the number next to it and press equal to

8. A sequence can be generated by using 2n - 11. What are the first four terms in
the sequence?

Answers

Answer:

              [tex]\bold{a_1=-9\,,\quad a_2=-7\,,\quad a_2=-5\,,\quad a_4=-3}[/tex]

Step-by-step explanation:

[tex]a_n=2n-11\\\\a_1=2(1)-11=2-11=-9\\\\a_2=2(2)-11=4-11=-7\\\\a_3=2(3)-11=6-11=-5\\\\a_4=2(4)-11=8-11=-3[/tex]

A quadrilateral has coordinates of (-4,3), (-3,8). (2,5), and (1, -7).
Enter the perimeter of this quadrilateral rounded to the nearest whole unit.

Answers

Answer:

The perimeter of a quadrilateral will be equal to the addition of the length of each side of the quadrilateral.

Here we only have the vertices of the quadrilateral, and to calculate the length of the sides, first we need to plot the points in a graph and see which pairs make the quadrilateral.

You can see the image below, where i did a rough sketch of the problem.

in the image, you can see that the sides of this rectangle are the ones formed by the pairs:

(-4,3) and (-2, 8)

(-2, 8) and (2, 5)

(2,5 ) and (1, -7)

(1, - 7) and (-4, 3)

Now let's calculate the length of each side.

Remember that when we have two points (a, b) and (c, d) the distance is:

D = √( (a - c)^2 + (b - d)^2)

Now we need to calculate four distances:

(-4,3) and (-2, 8)

D1 = √( (-4  + 2)^2 + (3 - 8)^2) = 5.39

(-2, 8) and (2, 5)

D2 = √( (-2  - 2)^2 + (8 - 5)^2) = 5

(2,5 ) and (1, -7)

D3 = √( (2  - 1)^2 + (5 + 7)^2) = 12.04

(1, - 7) and (-4, 3)

D4 = √( (1  +4)^2 + (-7 -3)^2) = 11.18

Now we add those four distances to get the perimeter:

P =  5.39 + 5 + 12.04 +  11.18 = 33.61

And we want to round it to the next whole number, because the first digit after the decimal point is larger than 5, we round up, and get:

p = 37

Nicole babysits on the weekends. She charges a flat fee of $10 and then $5 per hour. If she made $40 on Friday night, how many hours did she babysit?

Choose the equation to represent this situation.

Group of answer choices

Answers

Since she charges a flat fee of 10 what she made from babysitting would be 30 dollars and if you divide 30 dollars by 5 it would calculate to 6 hours of babysitting.

A line extends from point T to point R. Point S is between points T and R. The space between T and S is labeled 3 x minus 4. The space between T and R is labeled 4 x + 1.
Which expression represents the measure of segment RS?

7x – 3
7x + 5
x + 5
x – 3

Answers

Answer:

x+5

Step-by-step explanation:

Answer:

which expression represents the measure of segment RS? x + 5

Step-by-step explanation:

on engenuity

Para la venta de las misiones, la señora Susy preparó chilibeans , para lo cual compró 4 1/2 kg de frijol. Como no tenía una olla suficientemente grande, tuvo que prepararla en tres recipientes: dos de ellos eran del mismo tamaño, pero el tercero tenía la mitad de capacidad que los otros. ¿Cuánto frijol puso en cada recipiente si lo dividió de manera proporcional al tamaño de los recipientes?

Answers

Answer:

En cada recipiente grande coloco 1.8 kilos de frijoles y en el recipiente pequeño coloco 0.9 kilos.

Step-by-step explanation:

dividio los frijoles en 3 recipientes

volumen total de los 4 recipientes = 2x + 2x + x = 5x

esto se debe a que los 2 mas grandes tenian el mismo tamaño (2x), mientras que el pequeño tenia solo la mitad (x)

4.5 kilos de frijoles / 5 x

x = 0.9 kilos de frijoles

recipiente grande = 2 · 0.9 = 1.8 kilos

Employees at a medical supply company are mixing saline solution for use in IVs. They start with 50 liters of 12% solution. To this, they plan to add 10% solution. How many liters of the 10% solution should they add in order to obtain a finished product that is 11% saline?

Answers

Answer:

50 liters of the 10% solution should be added

Step-by-step explanation:

Here, we want to calculate the number of liters of the 10% solution that should be added

Let the number of 10% solution to be added be x liters

So total liters is now x + 50

Thus;

50 liters of 12% + x liters of 10% = (x + 50) liters of 11 %

Hence

12/100 * 50 + 10/100 * x = 11/100 * (x + 50)

0.12(50) + 0.1(x) = 0.11(x + 50)

6 + 0.1x = 0.11x + 5.5

6 - 5.5 = 0.11x - 0.1x

0.5 = 0.01x

x = 0.5/0.01

x = 50

Write a biconditional statement for: A prime number has only 1 and itself as factors. What is the truth value?

Answers

Answer:

The statement is;

A number is a prime number if and only if it has 1 and itself as factors

The truth value of this statement is true T

Step-by-step explanation:

The biconditional statement will use the statements if and only if.

Thus, we have;

A number is a prime number if and only if it has only 1 and itself as factors

The truth value of the biconditional statement is T ( true)

Help me out please I'll give brain list

Answers

Answer:

b

Step-by-step explanation:

hope this helps

B because they are all attached to the bell which will allow it to make noise hope this helped


What is the slope of the line that passes through the points (-5,7) and (10, 1)?
А
m = 5/2
B
m = -5/2
С
m = -2/5
D
m = 2/5

Answers

y= -2/5x + 5 is the equation, so the correct answer would be c

The points are (-5,7) and (10,1). The slope of the points is -2/5.

How to calculate a slope ?

Any two different points on a line can be used to calculate the slope of any line. The slope of a line formula is used to determine the ratio of "vertical change" to "horizontal change" between two different points on a line.

Given that,

The points are (-5,7) and (10,1).

We have to find the slope of the points.

The relationship between how a line's y coordinate changes and how its x coordinate changes determines a line's slope. y and x are the net changes in the y and x coordinates, respectively. As a result, the change in y coordinate with regard to the change in x coordinate can be written as,

Slope of the points=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Here,

x₁=-5,

y₁=7

x₂=10

y₂=1

Slope of the points [tex]= \frac{1 - 7}{10 + 5}[/tex]

Slope of the points =(-6)/(15)

Slope of the points = -2/5

Therefore, the slope of the points is -2/5.

To learn more about slope visit: https://brainly.com/question/3605446

#SPJ2

Write the sentence as an inequality. A number x is less than 7 and greater than 3

Answers

X LS 7 GT 3
Um or
X LS 7+3

The inequality as per the given statement will be equal to 3 < x < 7.

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the information in the question,

Let the number is x.

x is less than 7.

x < 7 and,

x is greater than 3,

So, x > 3

So, it can be written in combined form as:

3 < x < 7

To know more about Inequality:

https://brainly.com/question/28823603

#SPJ2

Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). ∆ABC and ∆FDE are congruent by the criterion. (Use the three-letter abbreviation without spaces.) The value of x is , and the value of y is .

Answers

*See attachment for the given diagram.

Answer:

∆ABC and ∆FDE are congruent by the SSS criterion.

The value of x is 11 and the value of y is 8

Step-by-step explanation:

Based on the Side-Side-Side (SSS) Congruence Theorem, ∆ABC and ∆FDE are congruent to each other. The 3 sides of ∆ABC are congruent to the 3 given sides of ∆FDE.

Thus:

AB ≅ DF

BC ≅ DE

CA ≅ FE

Find x:

Since BC ≅ DE, therefore measure of BC = measure of DE.

BC = x + 3

DE = 14

Thus,

x + 3 = 14

Subtract 3 from each side

x = 14 - 3

x = 11

Find y:

Since AB ≅ DF, therefore the measure of both sides are equal.

AB = 3

DF = x - y

Thus,

x - y = 3

Substitute x = 11 into the equation

11 - y = 3

Subtract 11 from both sides

-y = 3 - 11

-y = -8

Divide both sides by -1

y = -8/-1

y = 8

Answer:

Below

Step-by-step explanation:

got it right

The point is plotted on the number line.
What whole number best approximates the value of x?

Answers

Answer:

D. 104

Step-by-step explanation:

After taking the square root of all possible answers 104 gives you 10.19 in decimal form which is the closest and most accurate number to 10.2 where the point is closely located to.

It’s number 6. I’ll give brainliest

Answers

answer: $12

explanation:

we know that 2 CDs and 6 DVDs cost $156 and 1 CD and 9 DVDs cost $210.
this gives us the equations:

2x + 6y = 156
and
1x + 9y = 210
where x is CDs and y is DVDs

multiply the top equation by 9 and the bottom by -6 to solve for x:

18x + 54y = 1404
-6x - 54y = -1260

add from top to bottom:

12x = 144

divide both sides by 12 to get:

x= $12

WHat is 9 to the the power of infinity timees the number of cubic inches

Answers

Answer:

...infinity cubic inches?

Step-by-step explanation:

Action movies make up 25% of Sara’s DVD collection. If she has 16 action DVDs, how many DVDs does Sara have in her collection?

Answers

Answer:

64 DVDs

Step-by-step explanation:

25% = 16 DVDs

25%x 4 = 16x 4

100% = 64 DVDs

If action movies make up 25% of Sara’s DVD collection. If she has 16 action DVDs, how many DVDs does Sara have in her collection will be 64

First step is to convert the decimal to fraction

16÷24÷100

Second step is to reduce the fraction

16÷1÷4

Third step is to divide the fraction by multiplying its reciprocal in order to determine how many DVDs does Sara have in her collection

16×4

=64

Inconclusion if action movies make up 25% of Sara’s DVD collection. If she has 16 action DVDs, how many DVDs does Sara have in her collection will be 64

Learn more here:

https://brainly.com/question/1087213

A runner sprinted for 117 yards (yd). How many feet (ft) is this? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation. ft mi yd 1760 yd 1 mi 3 ft 1 ft 12 in 1 yd Ratios: 1 mi 1760 yd 1 yd 3 ft 12 in 1 ft . in Х 117 yd 1 ft 0 x IK IT LOOKS CONFUSING SO LOOK AT THE PICTURE HELP ME PLEASE!!!!:)​

Answers

Answer:

117 yd/1 x 3 ft/1 yd = 351 ft

Step-by-step explanation:

[tex]\frac{117}{1} * \frac{3}{1} = 351 ft[/tex]

A runner sprinted for 351 feet.

Given that, a runner sprinted for 117 yards (yd).

How to convert yards to feet?

To convert a yard measurement to a foot measurement, multiply the length by the conversion ratio. The length in feet is equal to the yards multiplied by 3.

Here, multiply the ratio 117/1 by 3/1.

That is, 117 × 3 =351 ft

Therefore, a runner sprinted for 351 feet.

To learn more about the metric conversion visit:

https://brainly.com/question/21244256.

#SPJ5

is this a function or not

Answers

Answer:

No

Step-by-step explanation:

x=5 produces y=3 and y=5 so the relation is not a function.

Yes that is function by looking that this

y

help me. I'm not very good at math

determine whether the given is a rational equation, rational inequality,rational, function

y = × + 3

I will mark if anyone answer these

wrong or no respect will be report​

Answers

X=-3 I’m sure I’m right

Can someone tell me them least to greatest please!!!!!

Answers

Answer:

11/3 , 17 , 20 hope this helps

My sister gave me $12 for my birthday. I now have 3 times as much as I did before. How much money did I have originally?

Answers

Answer:

36 is the answer

Answers

Answer:

the first rectangle im pretty sure is 32

the second one is 12.8

Step-by-step explanation:

half of 8 is 4 and half of 25.6 is 12.8

Use PEMDAS to solve the following Order of Operations problem. 4 x 7-6^2÷ 3 = _______​

Answers

Answer:

16

Step-by-step explanation:

4 x 7 - 6 x 6/3

4 x 7 - 36 / 3

28 - 36 / 3

28 - 12

16

What is the length of the graphed line segment

Answers

Answer:

acc. to me it should be

[tex] \sqrt{50} [/tex]

Paid the rent for the month,$650

Answers

Answer:

whats the question here

Step-by-step explanation:650 rent

SCory earns $20 per day plus $6 for every sale he makes. On Saturday, he wants to earn at least $50. Which best describes the number of sales he needs to make to reach his goal? (Hint: Write an inequality to find solution.)

Answers

Answer:

5 sales is the answer now give brainliest

Answer:

He would have to make 5 sales.

Step-by-step explanation:

To write this as an inequality, you would write it as 20 + 6(x).

Janice is making plans for her company party. She has a budget of $100 ta
spend. She plans to buy pizza for $12 each, but there will also be a $4
delivery charge. How many pizzas can she afford to buy?

1. Write the equation: ______
2. Janice can buy ___ pizzas for the party.

PLEASE HELP! <3

Answers

She can spend exactly $100 because she can buy 8 pizzas with a 4 dollar delivery charge

what is 12 to the 16 power/ 12 to the 4 power ill give brainliest

Answers

Answer:

12^16= 184884258895036400

12^4= 20736

Suppose the size of each cube is doubled and the size of the large box is doubled. How many of these new cubes would fit? Explain how you found your answer.

Answers

5 because it center area in the right place

−8x+9y=-21 -3x+9y=−36

Answers

Answer:

x=-3  y=-5

Step-by-step explanation:

big brain

Other Questions
What digit is in ten thousands place 983,471? You see me now 4 kkt A physical change is easier / more difficult to reverse than a chemical change. What is 2+2? I think the answer is 6 :) PromptUse the passage below to answer parts A, B, and C of the question that follows."My thesis is that the religion of Africa disappeared from the consciousness of the American slave; that the slave himself, by contact with a new environment, became a decidedly different person, having a new religion, a primitive Christianity, with the central emphasis, not upon this world, but upon heaven.My task is to show that the religion of the Negro slave between 1619 and the Civil War did not originate in Africa, but was something totally different . . . and that this distinctive element in the religion of the slave grew out of his contact with Christianity in America. In taking this position I have tried to give due weight to those considerations which tend to support a contrary position, such as the inertia of African habits and traditions in the life of the American slave, and the hostile tendency of his social surroundings to religious development. On the other hand, I have considered the disintegrating effects of the American slave system upon black groups that originated in Africa, together with the American slave's new social contacts, which produced in him the religious attitude found, and out of which arose the early slave-preacher and church. G. R. Wilson, "The Religion of the Negro Slave: His Attitude toward Life and Death, The Journal of Negro History, 1923a) Identify ONE specific example of the relationship between the transatlantic slave trade and cultural exchange in the New World that would tend to support Wilsons argument.b) Identify ONE specific example of the effect of the plantation economy on enslaved peoples culture in the Americas that would tend to support Wilsons argument.c) Identify ONE specific example of how religious syncretism emerged as a consequence of exposure to new religious values and cultures that would NOT tend to support Wilsons thesis. PLEASE PLEAS HELP Which of the following compounds is insoluble in water? a) ZnSO4b) K2SO4c) Na2CO3d) Ag2CO3 There are 17 different career clusters listed in our unit. Why do you think it is important to have a diverse number of careers to choose from? How would it affect our global economy if there were only one or two career clusters? Using the numbers -4, 10, 8, 2, -3, -5, create an expressions that equals to 6. What is the greatest common factor (GCF) of 51 and 85? A. 17 B. 3 C. 5 D. 23 Which of the following represents a species with 16 protons and 18 electrons? A) Ar B) S C) S D) Si E) S Question 5 of 40 Solve the system of equation Paul's mom sent him to the grocery store with $10 to buy bread and cheese for sandwiches. Paul picked out a loaf of bread that costs $3.25, and a deli cheese that costs $5.99 a pound. He would like to buy as much cheese as possible, so he asks the deli worker to see how much each slice weighs. Each slice weighs 0.04 pounds. Which inequality can be solved to find x, the number of slices that Paul can afford to buy? Which event happens third? Divide the number 484 into two parts in a ratio of 7 : 4. How much bigger is the first number than the second number? basic info on the book "hatchet" by gary paulsen|i only need basic stuff. answer these questions pleasefor the chapter things, i only need like one sentence of what happens in the book lol. thats it.characters:setting:plot:chapt 3:chapt 4:chapt 5:chapt 6:thats all! and remember, in the chapter things i only need like 1 sentence summarizing the chapter it doesnt have to be super descriptive. thank you!!! i'm behind on a lot of assignments because i only got the book today (im still doing online school) who was sleyman 2 4 points)An apostle who spread Christianity to non-lensAn Ottoman sultan who ruled through siamic lanThe first political and spintual leader of IslamThe first Roman emperor to convert to Christianity Write a rough draft about spider man into the spider verse cuando viste los ejemplos, qu ideas se te vinieron a la mente sobre como es la planificacion de la escritura de un plan de accin? Simply the question in the picture The Japanese borrowed a great deal from the Neo-Confucian school. What did they call this transfer of knowledge?