Details
A movie theater has a seating capacity of 205. 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 $ 1482, How many
children, students, and adults attended?

Answers

Answer 1

Answer:

94 children, 64 students, and 47 adults attended the movie theater.

Step-by-step explanation:

Let; a be for adults, s for students, and c for children.

Make a system to solve for the amount of people.

c/a = 2

a + 2a + s = 205

3a + s = 205

Simplify.

s = 205 - 3a

s = 205 - 3a

c = 2a

Plug it in.

5c + 7s + 12a = 1482

10a + 7(205 -3a) + 12a = 1482

10a + 1435 - 21a + 12a = 1482

a + 1435 = 1482

a = 47

Substitute.

c = 2(47)

c = 94

Solve.

s = 205 - 3(47)

s = 64


Related Questions

evaluate f(3) if (x) = -4x+5

Answers

Answer:

-7

Step-by-step explanation:

Find m when 2.4^m-2=√16^3m×2

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Answer:

JNGTHGNH

Step-by-step explanation:

GHGNJHGYJNR56T5465465

Can someone help with 3 and 9

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Answer:

9= 512m/1000m

SIMPLIFY IT

Step-by-step explanation:

Instructions: Find the missing angle in the image below. Do not include spaces in your answers

Answers

Answer:

15

Step-by-step explanation:

to find angle C, you subtract 50 from 180 which is 130. that means then you add 35 and 130 together which is 165. then subtract 180-165 which is 15.

The measure of the angle ∠BAC of the triangle ABC will be 15°.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In triangle ABC, the angle B is 35° and the exterior angle C is 50°.

The measure of the angle ∠BAC of the triangle ABC will be,

We know that the sum of any two interior angle of the triangle is equal to the third exterior angle of the triangle.

The sum of the angles ∠BAC and ∠ABC is equal to angle ∠BCF. Then the equation will be

∠BAC + ∠ABC = ∠BCF

    ∠BAC + 35° = 50°

             ∠BAC = 50° – 35°

             ∠BAC = 15°

Thus, the measure of the angle ∠BAC will be 15°.

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Help!!

Marta is solving the equation S = 2πrh + 2πr2 for h. Which should be the result?

StartFraction S Over 2 pi r EndFraction equals h. – r = h
StartFraction S minus r Over 2 pi r EndFraction equals h. = h
S – S minus StartFraction r Over 2 pi EndFraction equals h. = h
S – S minus StartFraction 2 pi Over r EndFraction equals h. = h

Answers

Answer:

(S-2πr^2)/ 2πr = h

Step-by-step explanation:

S = 2πrh + 2πr^2

Subtract 2 pi r^2 from each side

S-2πr^2  = 2πrh + 2πr^2 -2πr^2

S-2πr^2  = 2πrh

Divide each side by 2 pi r

(S-2πr^2)/ 2πr = 2πrh/2πr

(S-2πr^2)/ 2πr = h

It is given that,

→ S = 2πrh + 2πr²

Now subtract 2πr² from the both sides,

→ S - 2πr² = 2πrh + 2πr² - 2πr²

→ S - 2πr² = 2πrh

Then divide both sides by 2πr,

→ (S-2πr²)/2πr = 2πrh/2πr

→ (S-2πr²)/2πr = h

Hence, (S-2πr²)/2πr = h is the result.

simplify 3[(15-3)^2 + 4]

Answers

Answer:

444

Step-by-step explanation:

3 [ ( 15 - 3 )^2 + 4 ]

= 3 [ ( 15 - 3 )^2 + 4 ]

= 3 [ ( 12 )^2 + 4 ]

= 3 [ 144 + 4 ]

= 3 [ 148 ]

= 444

Step-by-step explanation:

3(15-3)²+4

3(12)²+4

3×144+4

432+4

436 Answer

Pls help, I will give 50 points

Answers

I think this is the answer you are looking for

Do you agree? Explain why or why not.

Answers

Answer:

if x = 4

[tex]\sqrt{8 + 1} + 3 = 0[/tex]

[tex]\sqrt{9} + 3 = 0[/tex]

3 + 3 = 0

6 = 0

wrong.

Yes as 8 + 1 is 9
Square root of 9 can be either 3 or -3 and -3 +3 is 0

solve the simultaneous equation: y=2x²+3x-31 y= x= 21-2x​

Answers

Answer:

1. x =(3-√257)/4=-3.258

2. x =(3+√257)/4= 4.758

Step-by-step explanation:

irst add  

x

to both sides of the second equation to get:

y = x + 3

Then substitute this expression for  y  into the first equation to get:

29 = x 2 + ( x + 3 ) 2 = 2 x 2 + 6 x + 9

Subtract  29  from both ends to get:

0 = 2 x 2 + 6 x − 20

Divide both sides by  2  to get:

0 = x 2 + 3 x− 10 = ( x+ 5 ) ( x − 2 )  

So  x = 2 or  x = − 5

If  x = 2  then  y = x + 3 = 5 .

If  x = − 5  then  y=x + 3 = − 2

So the two solutions  

( x, y )  are  ( 2 , 5 )  and  ( − 5 , − 2 )

A plane flies from Los Angeles west to Paradise Isle and returns. During both flights there is a steady upper air wind from the west at 80 mph. If the trip west to Paradise Isle took 17 hours and the return trip to Los Angeles took 13 hours, what was the plane's average airspeed?

Answers

Answer: [tex]589.33\ mph[/tex]

Step-by-step explanation:

Given

Trip form Los Angeles west to Paradise Isle took 17 hours and return trip took 13 hours.

Wind from west is 80 mph

Distance traveled is same in both the cases. During the first Journey, wind causes an upstream and for second half, it creates a downstream.

Suppose the speed of plane is

[tex]\Rightarrow (v-80)17=(v+80)13\\\Rightarrow 17v-1360=13v+1040\\\Rightarrow 4v=2400\\\Rightarrow v=600\ mph[/tex]

Suppose the distance is x

[tex]\Rightarrow x=(600-80)\times 17\\\Rightarrow x=520\times 17\\\Rightarrow x=8840\ \text{miles}[/tex]

Average speed is

[tex]\Rightarrow v_{avg}=\dfrac{x+x}{17+13}\\\\\Rightarrow v_{avg}=\dfrac{2\times 8840}{30}\\\\\Rightarrow v_{avg}=589.33\ mph[/tex]

Answer:

The speed of plane is 600 mph.

Step-by-step explanation:

Let the distance is d.

Speed of wind , u = 80 mph

Time, t = 17 hours

time, t'= 13 hours

Let the speed of airplane is v.

distance = speed x time

d = (v + u) x 13= (v - u) x 17

(v + 80) x 13 = (v - 80) x 17

13 v + 1040 = 17 v - 1360

4 v = 2400

v = 600 mph

What is the volume of the rectangular prism below? ⊕

Answers

Answer:

32cm³ is the volume of the given rectangle.

Step-by-step explanation:

volume of rectangle=l×w×h

2×4×432cm³

hope it helps

stay safe healthy and happy..

Answer:

bro i go to your school

lol

Step-by-step explanation:

Help mee A scout troop are hiking in a forest. Starting from their base, they walk 4.2km south followed by 7.1km west. They want to walk the shortest distance back to their base. On what bearing should the scouts walk?

Answers

Answer:

They should walk on a bearing of 59.4 degrees

Step-by-step explanation:

Given

[tex]South = 4.2km[/tex]

[tex]West = 7.1km[/tex]

Required

The bearing back to the base

The given question is illustrated with the attached image.

To do this, we simply calculate the measure of angle a using:

[tex]\tan(a) = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan(a) = \frac{7.1}{4,2}[/tex]

[tex]\tan(a) = 1.6905[/tex]

Take arctan of both sides

[tex]a = \tan^{-1}(1.6905)[/tex]

[tex]a = 59.4^o[/tex]

The bearing that the scout should work is N59.4W for the shortest distance

Trigonometric ratio

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let  A represent the angle that the scouts walk

tan∠A = 4.2/7.1

A = 30.6°

The bearing that the scout should work is N59.4W (90 - 30.6) for the shortest distance

Find out more on Trigonometric ratio at: https://brainly.com/question/4326804

a suit is on sale for 15% off. the sale price is $442. what is the regular price?

Answers

Answer:

520

Step-by-step explanation:

100% - 15% = 85%

85% of the original price is  442 dollars

100% = x

solve for x:

x * 0.85 = 442

x= 520 dollars

regular price is 520 dollars.

Find x

Help me please

Answers

Answer:

19

Step-by-step explanation:

what is the answer of this questoin 2c-3b+6+7b-2b+11?​

Answers

Answer:

[tex]2c+2b+17[/tex]

Step-by-step explanation:

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

Given:

[tex]2c-3b+6+7b-2b+11[/tex]

---------->>>>

Collect like terms.

[tex]2c+(-3b+7b-2b)+(6+11)[/tex]

---------->>>>

Simplify

[tex]2c+2b+17[/tex]

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

Hope this is helpful.

Answer:

2c-2b+17 if using algebra

Step-by-step explanation:

firstly group like terms 2c+(-3b)+7b-2b+6+11

2c-2b+17

Is the product of two prime numbers a prime number or a composite
number?

Answers

Step-by-step explanation:

No, the product of two (or more) prime numbers cannot result in another prime number. By definition, a prime number is a number that is divisible by 1 or itself - the act of multiplying two or more primes together will always yield a number divisible by 1, itself and the prime numbers multiplied together to achieve it.

Answer:

a composite one

Step-by-step explanation:

Why?

It is easy-peasy.

First, it is impossible to have a prime number. Because primes are only divisible by 1 and themselves.

For example, 3 is a prime. 7 is a prime. Multiply them and get 21.

I hope it helped:)

Which is equivalent (Algebra ll)

Answers

Answer:

D : [tex]x^{2} +81=x^{2} +20x+100[/tex]

Step-by-step explanation:

We start with the original equation:

[tex]\sqrt{x^{2} +81} =x+10[/tex]

Squaring both sides to remove the square root we get:

[tex]x^{2} +81=(x+10)^{2}[/tex]

Expanding the right side:

[tex]x^{2} +81=(x+10)(x+10)[/tex]

Multiplying the right side out and combining like terms we get:

[tex]x^{2} +81=x^{2} +20x+100[/tex]

−3x−6+(−1)
need answer pls

Answers

Step-by-step explanation:

−3x−6+(−1)

-3x-7

Hope it helps you

Answer:

−3 −7

Step-by-step explanation:

-3x-6-1

-3x-7

Does anyone know the answer?

Answers

Answer:

A

Step-by-step explanation:

A and B are the only answer choices that give you imaginary number outputs

But because the function in the answer choices is a negation of the original function they give different outputs, thus a different range

Therefore A is the correct answer

BRAINLIEST PLEASEEEEEEEE

Answer:

it is the first answer... has the same domain as  the function

Step-by-step explanation:

Let be the set of permutations of whose first term is a prime. If we choose a permutation at random from , what is the probability that the third term is equal to

Answers

Answer:

[tex]Pr = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]S = \{1,2,3,4,5\}[/tex]

[tex]n = 5[/tex]

Required

Probability the third term is 3

First, we calculate the possible set.

The first must be prime (i.e. 2, 3 and 5) --- 3 numbers

[tex]2nd \to 4\ numbers[/tex]

[tex]3rd \to 3\ numbers[/tex]

[tex]4th \to 2\ numbers[/tex]

[tex]5th \to 1\ number[/tex]

So, the number of set is:

[tex]S = 3 * 4 * 3 * 2 * 1[/tex]

[tex]S = 72[/tex]

Next, the number of sets if the third term must be 2

[tex]1st \to 2[/tex] i.e. 1 or 5

[tex]2nd \to 3\ numbers[/tex] ---- i.e. remove the already selected first term and the 3rd the compulsory third term

[tex]3rd \to 1\ number[/tex] i.e. the digit 2

[tex]4th \to 2\ numbers[/tex]

[tex]5th \to 1\ number[/tex]

So

[tex]r = 2 * 3 * 1 * 2 * 1[/tex]

[tex]r = 12[/tex]

So, the probability is:

[tex]Pr = \frac{r}{S}[/tex]

[tex]Pr = \frac{12}{72}[/tex]

[tex]Pr = \frac{1}{6}[/tex]

Someone pls help me ill give out brainliest pls don’t answer if you don’t know

Answers

Answer:

Rectangle shaped cross section is formed by intersection of plane and prism.

Step-by-step explanation:

Given: A rectangular Prism.

To find: Shape of Cross Section when a plane intersect the prism diagonally

A plane intersect the Rectangular prism .i.e, Cuboid diagonally which means plane passes from top edge of cuboid to edge on bottom on opposite side.

Figure is attached.

In this way we get a Rectangular shaped Cross section which includes edges of cuboid and diagonals of the side faces.

Therefore, Rectangle shaped cross section is formed by intersection of plane and prism.

I NEED HELP FAST!!!!!
(05.03 MC) John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks: Which equation best models the relationship between x and y?
A. y= -5x+25
B. y= -25x+125
C. y= -25x+175
D. y= -5x+125

Answers

Answer:

think it is D

Step-by-step explanation:

look at the X axis and the number at the Y axis

The equation best models the relationship between x and y is y=-5x+125.

We have given that,

John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks.

We have to determine the equation best models the relationship between x and y.

What is the equation best models the relationship?

The three main ways to represent a relationship in math are using a table, a graph, or an equation.

The X-axis and the number at the Y-axis.

Therefore, The equation best models the relationship between x and y is y=-5x+125.

To learn more about the graph visits:

https://brainly.com/question/4025726

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Suzi is 1.7 meters tall. At 2:00 pm, Suzi measures her shadow to be 0.3 meters long. At the same time, a nearby tree casts a shadow that is 2.4 meters long. How tall is the tree?

Answers

Answer:

13.6 meter

Step-by-step explanation:

Given that :

Suzi's height, p1 = 1.7 m

Suzi's shadow, p2 = 0.3 m

Tree shadow, t2 = 2.4 m

Tree height, t1 =?

Using the relation :

p1 / p2 = t1 / t2

1.7 / 0.3 = t1 / 2.4

Cross multiply :

1.7 * 2.4 = 0.3 * t1

4.08 = 0.3t1

t1 = 4.08 / 0.3

t1 = 13.6

Height of the tree is 13.6 m

(05.05 HC)The four points (−2, 5), (−2, −1), (5, −1), and (3, 5) are the vertices of a polygon. What is the area, in square units, of this polygon? 27 units2 33 units2 36 units2 51 units2

Answers

Answer:

Area = 36 squ. unit

Step-by-step explanation:

According to the Question,

Given That, The four points (−2, 5), (−2, −1), (5, −1), and (3, 5) are the vertices of a polygon. (Please find diagram in attachment)

by using these points a quadrilateral is formed with two opposite sides 7 and 5 and with height 6 (Refer in the diagram).

Therefore, the area of this polygon is

Area = 1/2 * (sum of opposite side) * height

Area = 1/2 * (7+5) * 6

Area = 3*12

Area = 36 squ. unit

Answer:

36

Step-by-step explanation:

Describe fully the single transformation that maps triangle A onto triangle B

Answers

Answer:there’s needs to be an image

Step-by-step explanation:

Question 2 Multiple Choice Worth 1 points)
(01.06 MC)
If D is the midpoint of AB and AB = 15, what is AD?

Answers

Answer:

If D is the midpoint of the segment AB, then we have to find the measure of segment AD. Therefore, AD = 7.5 units will be the answer.

somebody help me please

Answers

Answer:

x=-4

Step-by-step explanation:

:Distribute 2 to 9.7 and -4.8x

3.4+19.4-9.6x=61.2

:combine 3.4 and 19.4

22.8-9.6x=61.2

: subtract 22.8 from both sides

-9.6x=61.2-22.8

:divide both sides by -9.6

-9.6x/-9.6=38.4/-9.6

x=-4

1) Give 5 examples of a difference of two perfect squares

2) Give the factors of your examples

3) What do you call the factors of a difference of two perfect squares?

please help me ​

Answers

ᴀɴsᴡᴇʀ:

1.Example, x²-25 can be factored as (x+5)(x-5).

2.This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

3.When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5).

ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs!

☞︎︎︎ᴄᴀʀʀʏ ᴏɴ ʟᴇᴀʀɴɪɴɢ☜︎︎︎

What is the value if X?

A) 16
B) 30
C) 8
D) 15


A step by step analysis would be greatly appreciated but a simple answer will do as well.​

Answers

Answer:

[tex] \large{ \tt{ \bigstar \: {EXPLANATION : }}}[/tex]

Q. What do you mean by circumference ?

Ans : The perimeter of a circle is called its circumference. It is the total length of the curved line of the circle.

Q. What do you mean by chord ?

Ans : The line segment that joins any two points on the circumference of a circle is called the chord of the circle. In the figure , BA and DC are any two chords of the circle.

[ See the attached picture ] Observe the figure , you can see AB = 30 & CD = 15 + 15 = 30 which means chord BA and DC are equal. We know : Equal chords of a circle are equidistant from the centre. Hence, PO = OQ = 16 .

[tex] \large{ \boxed{ \boxed{ \tt{✺ \: OUR \: FINAL \: ANSWER : \boxed{16}}}}}[/tex]

Hope I helped! Let me know if you have any queries regarding my answer and also , Notify me if you need any help! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

I think the answer is 16 so I hope it help

Find the measure of the indicated angle

Answers

Answer:

yes

Step-by-step explanation:

Answer: x = 76

Step-by-step explanation:
Hey there! I’m not fully sure because I don’t do geometry shapes of finding x angles but this is how I got x.

The left and bottom bases are the same. Let’s say that A will be the top point of the triangle b will be the bottom left corner angle and c would be in the bottom right corner. We can already see that ∠AB = ∠BC. Because we can see that one line between them. so that means 52* = A angle because of the side length

52 + 52 = 104
180 = total
104 = among angles (we know)
180 - 104 = 76
x = 76
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