A movie theater has a seating capacity of 289. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2106, How many children, students, and adults attended?

Answers

Answer 1

Answer:

Number of children in theater   = 94

Number of students   = 46

Number of adults in theater= 47

Step-by-step explanation:

Total seating capacity in the theater = 187

Let us assume the number of students in the theater = m

and assume  the number of children in the theater = 2k

So, the number of adults in theater = Half of number of children = 2k/2 = k

⇒ Number of ( Adults + Children + students) = 187

⇒ k  + 2k + m =  187, or 3k + m = 187

Step-by-step explanation:


Related Questions

Please answer!!!
y = Yolanda's height in inches
y + 7 = Linda's height in inches
2y + (y + 7) = 193

Answers

193=2y+y+7
193=3y+7
186=3y
62=y
Yolanda is 62 inches tall and Linda is 69 inches tall.

✨6 grade math✨ Step by step pls

Answers

Answer:

pemdas!!

p=( ), [, ]

e= exponts

m and d= multiplaction and division

a and s = add and subtract

now 3x(3+12/3)-4

= 3x(3+4)/4

= 3x(7)/4

= 3x7/4

= 21-4

= 17

Step-by-step explanation:

Step-by-step explanation:

[tex]3 \times (3 + 12 \div 3) - 4 \\ \\ = 3 \times (3 + 4) - 4 \\ \\ = 3 \times 7 - 4 \\ \\ = 21 - 4 \\ \\ = 17[/tex]

Find the area of a square with sides of length 1 /3 yard. pls help

Answers

Answer:

1/9 yards ^2

Step-by-step explanation:

[tex]\frac{1}{3}^2 =\\\frac{1}{3} * \frac{1}{3}=\\\frac{1}{9}[/tex]

H E L P ! !

The cover of a memo book must have an area of 115 cm^2. Approximately, to the nearest tenth of a centimeter, how long should each side be to make a square cover?

Answers

Answer:

10.7cm

Step-by-step explanation:

x^2= 115

x = √115

x = 10.7

Why is it reasonable to use the same units to describe circles and measure of angles?

Answers

Answer:

The more familiar unit of measurement is that of degrees. A circle is divided into 360 equal degrees, so that a right angle is 90°.

Explanation:

The unit circle, or trig circle as it's also known, is useful to know because it lets us easily calculate the cosine, sine, and tangent of any angle between 0° and 360° (or 0 and 2π radians)

Juan ha comprado una camisa y un pantalón. Los precios de estas prendas sumaban 60 €, pero le han hecho un 10 % de descuento en la camisa y un 20 % en el pantalón, y paga por todo 50,15 €. Cual era el precio sin rebajar de cada prenda?

Answers

Answer:

62

Step-by-step explanation:

Answer:

La respuesta es 21.50 la camisa

                         38.50  el pantalon

21.50 X .10 = 2.15

38.50 X .20 = 7.70 la suma de los dos da 9.85  

60 - 50.15 = 9.85  

21+38.50 = 60

Pls help I’m failing math

Answers

`Answer:

a)x=-9

b)x=71

c) x=3

d)x=9

Step-by-step explanation:

thats what i got unless im really stoopid

Please help me with this equation below.

Answers

Answer:

a) We have an aspect ratio of 4:3

This means that the width of the screen, W, is about 4/3 times the height of the screen, H.

Then we have the equation:

W = (4/3)*H

And the diagonal of a rectangle with width W and height H is:

D = √(W^2 + H^2)

Then if we have a 15 in TV, then we have D = 15 in.

Then we have:

15 in = √(W^2 + H^2)

Now we can use the relation W = (4/3)*H and replace this in the above equation:

15 in = √(((4/3)*H)^2 + H^2)

Now we can solve this for H:

15in = √( (16/9)*H^2 + H^2)

(15in)^2 = (16/9)*H^2 + (9/9)*H^2 = (25/9)*H^2

(9/25)*(15in)^2 = H^2

√( (9/25)*(15in)^2) = H

(3/5)*(15in) = H = 9 in

The height is 9 inches, and the width will be:

W = (4/3)*9in = 12in.

Now let's do the same for a 42 in tv.

We can use the same equation than before, this time we get:

42 in = √(((4/3)*H)^2 + H^2)

We can do the exact same procedure as before, and we will get:

(3/5)*(42in) = H = 25.2 in

Then the width is

W = (4/3)*H = (4/3)*25.2in = 33.6 in

b) Now we do the same, but now we have the relation:

W = (16/9)*H

Then if D is the diagonal, we have the equation:

D = √(W^2 + H^2) = √( ((16/9)*H)^2 + H^2)

This time we can simplify it for any general D.

D^2 = (16/9)^2*H^2 + H^2

D^2 = (256/81)*H^2 + H^2 = (256/81)*H^2 + (81/81)*H^2

D^2 = (337/81)*H^2

(81/337)*D^2 = H^2

√( (81/337)*D^2) = H

(9/18.36)*D = H

Then if we have a 42 in TV, the height is:

(9/18.36)*42in = H = 20.59 in

And the width will be:

W = (16/9)*H = (16/9)*20.59in = 36.60 in

If we have a 60 in TV, we get:

(9/18.36)*60in = H = 29.41 in

And the width will be:

W = (16/9)*H = (16/9)*29.41in = 52.29 in

c) if all the aspect ratios are always exactly 16:9, then no, the width and height should be exactly the same for all the TV with that ratio.

Evaluate m3 + n3 for m = 3, n = 2.
O A. 8
O B. 27
O C. 35
O D. 15

Answers

it’s D(15)
(3)*3+(2)*3
9+6=15

a car travled 20 miles in 0.4 hours. what was the cars speed? Include units of measure.

Answers

Answer:5

Step-by-step explanation:∧

speed=distance/time

distance=20 miles

time=0.4

speed=20/0.4

     Answer=5

Anyone know any music artists similar to conan gray ? ​

Answers

Dababy is similar to Conan gray

Answer:

Lorde, Gracie Abrams, and a few Taylor Swift songs, and if you're looking for new musicians to get into that are underrated you should definitely try Hozier, and Phoebe Bridgers.

Louis wants to make a scale drawing of his bathroom. The room is 12 feet long by 8 feet wide. If he uses a scale of 1cm = 4ft, how big would the bedroom be in the scale drawing?
Pls helpp

Answers

Answer:

Step-by-step explanation:

Solve the proportion 2x+3/3 = 9/27

Answers

Answer:

-0.3333333333

Step-by-step explanation:

Ally bought 5 different cakes for her birthday. His friends ate 3 1/4 of the amount of cake. Then he gave 1/2 of the cake to his grandmother. How much cake does Ally have left?

Answers

Answer:

7/8 of a cake

Step-by-step explanation:

4 4/4 - 3 1/4 = 1 3/4

7/4 x 1/2 = 7/8

write the linear function. i will make brainylist

Answers

Answer:

y=-2x+5

Step-by-step explanation:

To figure out the equation of a line, use the formula y=mx+c, where y and x represent the co-ordinate values, m is the slope and c is the y-intercept (where the graph cuts the y-axis).

The slope can be found by taking two points (x1,y1) and (x2,y2), and using the formula m=(y2-y1)/(x2-x1):

(0,5) and (1,3)

m=(3-5)/(1-0)

m=-2

We can see from the graph that the line cuts the y-axis at y=5, so c=5.

Now that we know m and c, we plug these values into our formula to get y=-2x+5

Divide 12x^3+15x by 3

Answers

3x times(4x^2+15) I’m pretty sure

Answer:

Try 5x + 36xn

Step-by-step explanation:

Traveling Salesperson Suppose you are a salesperson who must visit the following 23 cities: Dallas, Tampa, Orlando, Fairbanks, Seattle, Detroit, Chicago, Houston, Arlington, Grand Rapids, Urbana, San Diego, Aspen, Little Rock, Tuscaloosa, Honolulu, New York, Ithaca, Charlottesville, Lynchville, Raleigh, Anchorage, and Los Angeles. Leave all your answers in factorial form.

a. How many possible itineraries are there that visit each city exactly once?

b. Repeat part (a) in the event that the first five stops have already been determined.

c. Repeat part (a) in the event that your itinerary must include the sequence Anchorage, Fairbanks, Seattle, Chicago, and Detroit, in that order.

Answers

Answer:

1. 23!

2. 18!

3. 19!

Step-by-step explanation:

1.

We start by the order that we were given. Dallas is the first City with los Angeles being the last.. a total of 23 states.

Dallas can be placed in any of the 23 positions.

Tampa can be placed in any of the remaining 22 positions and so on.

Such that we have

Total number of ways = 23x22x21...x1 ways

= 23!

2. If first 5 cities have been determined,

23-5 = 18 cities

We can arrange in (23-5)! Ways

= 18!

3. We consider these 5 cities to be 1 unit, so we have to arrange the remaining 18 cities plus this single unit.

Total number of ways = (18+1)!

= 19!

если x=6 то y=
если y=-4 то x=​

Answers

Step-by-step explanation:

ssshzvecucsussddyz wksoav

Answer:

X=6 To y=-6

y=-4 TO X = 4

꧁꧁꧁꧁꧂꧂꧂꧂

꧂꧂꧂꧂꧂

A quality-assurance inspector periodically exam-ines the output of a machine to determine whether it is properly adjusted. When set properly, the machine pro-duces nails having a mean length of 2.000 inches, with a standard deviation of 0.070 inches. For a sample of 35 nails, the mean length is 2.025 inches. Using the 0.01 level of significance, examine the null hypothesis that the machine is adjusted properly. Determine and interpret the p-value for the test.

Answers

Answer:

Step-by-step explanation:

From the given information;

The null hypothesis & alternative hypothesis:

[tex]\mathbf{H_o:\mu = 2} \\ \\ \mathbf{H_1 : \mu \ne 2}[/tex]

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z = \dfrac{2.025- 2}{\dfrac{0.07}{\sqrt{35}}}[/tex]

[tex]Z = \dfrac{0.025}{\dfrac{0.07}{\sqrt{35}}}[/tex]

[tex]Z =2.11[/tex]

The p-value = 2(Z > 2.11)  since this is a two-tailed test

The p-value = 2( 1 - Z < 2.11)

The p-value = 2 (1 -0.9826)

The p-value = 2 (0.0174)

The p-value = 0.0348

Decision Rule: To reject the [tex]\mathbf{H_o}[/tex]  if the p-value is less than [tex]\mathbf{H_o}[/tex]

Conclusion: We fail to reject [tex]\mathbf{H_o}[/tex] and conclude that the population mean = 2, thus the machine is properly adjusted.

Please I need this right now
Write a proportion that would help answer the question (use x as your variable)

What number is 80% of 65?

Answers

Answer:

The answer is x = 81.25

Step-by-step explanation:

The proportion used is 65/x = 80%/100%

PLEASE HELP!
4x + 2y = 6
-2x + 2y = 18
There combined answer please!
SHOW YA WORK

Answers

your answer, in your set notation, is
{-2, 7}

A pair of shoes were originally priced at $125. They are now being sold with a 20% discount. What is it's new price?

* ill give brainliest

Answers

Answer:

100

Step-by-step explanation:

Forumla is

Original price X rate of discount = discount

The original price is $125, the rate of discount is 20%

So in math form, this is 125 x .20

which equals 25.

Lastly, just subtract that from the original price. 125 - 25 = 100.

Find the area of the shaded region.

Answers

Answer:

3/2x²+28x+130

Step-by-step explanation:

Area of shaded region = Area of rectangle – Area of triangle

Area of rectangle:

[tex](2x + 15)(x + 10) = \\2x {}^{2} + 35x + 150[/tex]

Area of triangle:

[tex] \frac{1}{2 } \times (x + 4)(x + 10) = \\ \frac{1}{2} x {}^{2} + 7x + 20[/tex]

then subtract

An iPhone that is marked $500 is marked up 250%.

What is the new price of the iPhone?


$750
$1750
$1250
$1000

Answers

Answer:

1250

Step-by-step explanation:

This would be 500 x 250/100 = 125000/100 = 1250

How do I simplify 2275/6

Answers

Answer:

This fraction is at its most simplified form

Step-by-step explanation:

You can see this because the GCF of both of these numbers is 1.

The simplified form of fraction 2275/6 is 379.

We have,

To simplify the fraction 2275/6, we can divide the numerator (2275) by the denominator (6) to obtain the simplified form.

By performing the division operation, we obtained the decimal value 379.166666..., which we then rounded to the nearest whole number, resulting in 379.

This process of dividing the numerator by the denominator is the fundamental concept used to simplify fractions.

Dividing 2275 by 6:

2275 ÷ 6 = 379.166666...

Rounded to the nearest whole number, the result is 379.

Therefore,

The simplified form of fraction 2275/6 is 379.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Jyoti is four times older than her daughter after 5 years Jyoti age will be three times of the age of her daughter find their present ages.​

Answers

Answer:

possible answer: 44- parent/ 14 yrs old daughter.

Sorry if i'm wrong

Step-by-step explanation:

2)Jeremy buys 5 pencils and a notebook. If each
pencil costs $0.59 and a notebook is $2. How
much will Jeremy pay all together?

Answers

Answer:

$4.95

Step-by-step explanation:

Answer:

4.59

Step-by-step explanation:

0.59x5=$2.95

2.95+2=4.59

Can somebody help me with this one?

Answers

since BD bisects the angle, both sides are equal

6x=5x+10
subtract 5x from both sides
x = 10

answer: x=10

Find the midpoint of the line segment with the endpoints (-6,-8) and (-2,-6)

Answers

Answer:

Step-by-step explanation:

The midpoint between two points is just the average of the coordinates.

mp=((x2+x1)/2, (y2+y1)/2)

mp=((-6-2)/2, (-8-6)/2)

mp=(-4, -7)

3,864,950 rounded to the nearest ten thousand

Answers

Answer:

3,870,000

Step-by-step explanation:

The 5 rounds the 9 into a 10

The 10 rounds the 4 into a 5

The 5 rounds the 6 into a 7

Put them all together and you get 3,870,000

I hope this helps, and have a great day! :)

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