The theater sells two types of tickets: adult tickets for $14 and child tickets for $8.
Last night, the theater sold a total of 159 tickets for a total of $1794. How many adult tickets did the theater sell last night?

Answers

Answer 1

Answer:

87 Adult tickets were sold

Step-by-step explanation:

This type of question relates to a system of equations. These types of questions are pretty easy to spot and they are just about solved all the same way.

So what we first want to do is see that there is a total of 159 tickets sold. Now obviously that number consists of the adult and children tickets, therefore we need to add those two unknown numbers to get 159, so x will be for adults and y will be for children tickets. this will give us the equation x + y= 159.

Next, we want to associate the amount those tickets are with those variables, because you can only have so many adult tickets and children tickets with the given $1794. So what we need to do is similar, we just have those totals added to get the equation 14x + 8y = 1794.

Now we want to use the process of elimination to find the value of x (because we are solving how many adult tickets were sold). IN order to do elimination, we need to have the equation x + y= 159 cancel the y value to leave us with the x value. In order to do this, you need to multiply y by a value that cancels 8y in 14x + 8y = 1794, which is -8.

So we multiply the entire equation of x + y= 159 by -8 to get. Now we would add these equations together where you subtract by like terms so:

[tex]14x + 8y = 1794\\-8x - 8y = -1272[/tex]

This leaves us with 6x=522 now you would divide by 6 to isolate x which leaves you with 87.


Related Questions

how do i solve -5(k+2)=13-(k-1)

Answers

K=-12 my work of how I found it

2x ( 2x - 3 )

Plz help

Answers

Answer:

4x² - 6x

Step-by-step explanation:

2x(2x - 3)

Distribute 2x into the parenthesis:

2x(2x - 3)  = 4x² - 6x

(5x - 17) + 48
find the value of X and Y

Answers

The answer to this question is x=13

I'm having a hard time understanding how to do this, if someone could guide me through it that would be great.

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It’s 7 a4 bc4 keystrokes keystrokes

name the intersection of plane B and plane C

Answers

Answer:

Hi, I believe they would be parallel because they don't intersect?

Hope this helps!!

Help ill give u lots of points dude

Answers

Answer:

135°

Step-by-step explanation:

ΔQPR

All interior angles are equal, so:

m∠QPR = 180°/3 = 60°ΔPRS

Equilateral right triangle, so:

m∠RPS = 90°/2 = 45°ΔPST

Right triangle with m∠T = 60°, so:

m∠SPT = 90° - 60° = 30°

Now we can find the required angle measure:

m∠QPT = m∠QPR + m∠RPS + m∠SPTm∠QPT = 60° + 45° + 30° = 135°

Jose buys cookies and lemons at the store. He pays a total of $30.64. He pays $5.20 for the cookies. He buys 6 bags of lemons that each cost the same amount. Which equation could be used to determine x, how much each bag of lemons costs?

Answers

Answer:

$4.24 each

Step-by-step explanation: I did the math. Well but you first subtract the amount of the cookies. Then you have to divided to est of it by six then boom you get the answer.

use the geometric properties and theorems you have learned to solve for x
PLS HELP

Answers

Answer: 20

Step-by-step explanation:

*This is a supplementary Angle (adds up to 180 degrees)

5x+12+68=180

5x+80=180

*subtract 80 on both sides

5x=100

*divide both sides by 5

x=20

Mia solved the equation 4x - 8 = 2(2x-4) and ended up with -8 = -8. what does this mean?
a) one solution
b) many solutions
c) no solutions
d) she did it wrong

Answers

Answer:

D

Step-by-step explanation:

She should have ended up with 4x-8= 4x-8

When you put everything on the proper side everything cancels out

A proportional relationship goes through the point (4, 10). Explain how to write a function in the form y = mx for this relationship.

Answers

Answer:

m = 5 / 2

Step-by-step explanation:

Given

(4, 10)

Here,

x=4 and y=10

Given equation,

y=mx _ equation 1

putting the value of x and y in equation 1. we get,

y = mx

or, 10 = m4

or, 10 / 4 = m

or, 5 / 2 = m

therefore, m = 5 / 2

Plz help it’s due tonight!!!

Answers

Answer:

Pls take a clearer picture or type down the values pls. Is angle D=6x+3 or something else?

When solving a two step equation, how do we know which number is the constant?

Answers

For example the problem 2x + 5 = 21, the constant is the number without the variable, and the solution would be x = 8.

Hope it helps!

Brainliest would be nice since I’m stuck on Ambitious but of course you don’t have to :)

We know that we have completely solved a two-step equation if the variable, usually represented. Then, we eliminate the number “closest” to the variable.

I Hope it helps! o.o

If 53 sweets get shared between 6 children,how many will be left over?

Answers

8 treats will be left over if you divide you will get 8 remainder 5 which is 8.8 mark me brainlest

Need help asp pls pls pls

Answers

Answer:

D.

Step-by-step explanation:

u should times each num in brakect 5 times

exp:

-2×-2×-2×-2×-2=-32

40 points and brainlyest to who ever answers this for me- please someone help me

Answers

Answer:

9) A

10) B

11) A

12) D

13) C

14) A

15) C

16) D

17) E (not sure, can't see full choice)

18) B

19) C

Explanation:

Hope this is what you're looking for friend :)

HELP
Karen's music library contains 18 fewer playlists than Clarann's music library. The total number of playlists on both music libraries is 40. Find the number of playlists on each person's music library.

Answers

Answer:

let Karen's music library be represented by K

let Clarann's music library be represented by C

C = K +18

C +K =40

put C = K +18 into (C +K =40)

K + 18 +K =40

2K +18 = 40

collect like terms

2K =40 -18

2K =22

divide both sides by 2

K =11

since C = K+18

C= 11 +18

C =29

Karen's music library contains 11 playlists while Clarann's music library contains 29 playlists

jeff decides to go to an outdoor skating rink the rink charges to rent a pair of skates and every hour of skating costs 2.00$ per person jeff. has at most 20$ to spend and needs to rent a pair of skates

Answers

Answer: The most amount he can rent the skates are 10 hours

Step-by-step explanation: if you divide the 2 by 20 it will be 10

The answer would be 72$ because u don’t add u subtract

HELP

Calculate f(12) if f(n) = 20 + 15(n-1) *
Ed collects autographs. The graph shows the total number of autographs
that Ed has collected over time, in weeks. Find f(12), and explain what
it represents.
Number of autographs
1 n)
90
80
(5,80)
70
(465)
60
50 13,50)
40
30
(2,35)
20 . (1, 20)
10
n
0
1 2 3 4 5 6
Time (weeks)
f(12)= 200
f(12)=185
f(12)= 385
(12) = 420

Answers

Answer:

f(12) = 185

Step-by-step explanation:

Plug 12 into every n variable of the given equation:

20 + 15(n - 1)

20 + 15(12 - 1

20 + 15(11)

20 + 165 =

f(12) = 185

Hope this helps!

Answer:

Step-by-step explanation:

Calculate f(12) if f(n) = 20 + 15(n-1) *

Ed collects autographs. The graph shows the total number of autographs

that Ed has collected over time, in weeks. Find f(12), and explain what

it represents.

Number of autographs

1 n)

90

80

(5,80)

70

(465)

60

50 13,50)

40

30

(2,35)

20 . (1, 20)

10

n

0

1 2 3 4 5 6

Time (weeks)

f(12)= 200

f(12)=185

f(12)= 385

(12) = 420

To rent a taxi in Los Angeles, the taxi service charges a flat rate of $11.20 and an additional $3.10 per mile driven. Write an equation in slope- intercept form where x represents the distance of the trip, and y represents the amount the taxi service would charge to drive that distance .

Answers

Answer:

y = 3.1x + 11.2

Step-by-step explanation:

Flat rate is the y- intercept b = 11.2

Charge per mile is the slope m = 3.1

The equation is:

y = 3.1x + 11.2

write the question of a line that passes through the point (8,3) and is parallel to the line that passes through the paoints (-5,-1) and (1,-4)

Answers

Answer:

y = - 1/2x + 7

Step-by-step explanation:

Slope = (-4 - - 1)/(1 - - 5) = -3/6 = -1/2

Point: (8,3)

b = 3 - (-1/2)(8)

= 3 + 4 = 7

PLEASE SOMEONE ANSWERRR I have school in 20 minutes please help D:

Answers

ok i gotchu

1.) 4 1/4

2.)6 2/3

3.)11

4.)3 11/15

5.)1 1/8

6.)1 17/18

7.)4

8.)4 1/12

9.)12 5/6

What is the input when f(x)=18?

Answers

Answer: The input is 5.

Step-by-step explanation: Since both are functions of f(x), you can set 9x-27 equal to 18 and then solve the equation. 9x-27=18, add 27 to both sides to get 9x=45, divide both sides by 9, x=5.

:)

Answer is 5


You replace the f(x) with 18 which makes it into (18)=9x-27 then you do basic algebra from there.

What is the answer to -3( x - 1) + 8( x - 3)= 6x + 7 - 5x

Answers

Answer:7

Step-by-step explanation:

support a boogie

Answer:

7

Step-by-step explanation:

A.) How many seats are in the 20th row

B.) Which row contains 36 seats

Answers

A is 60 and B is 108 because it adds 3 to each row and if it’s the 20th row you do 3x20 and if it’s the 36th row you do 3x36

Free brainliest but help me pls​

Answers

Answer:

A:4

Step-by-step explanation:

3/4 divided by 3/16

3/4 times 16/3

reduce

4

Answer: 4

Step-by-step explanation: do the brackets first. which is (1/2 * 3/8) to multiply these two together multiply numerator by numerator and denominator by denominator. Or, top * top / bottom * bottom

so we'd do 1*2 / 3*8. so it would give you 3/16.

now all we have left to do is divide 3/4 by 3/16.

to do this you can multiply by the reciprocal of the second value(3/16 will become 16/3)

now we have [tex]\frac{3}{4}[/tex] * [tex]\frac{16}{3}[/tex]  you can cancel out each 3 to give you 1/4 * 16/1

and you can also divide both 16 and 4 by 4 (16/4=4)

this gives you a final equation of 1 * 4 for a final answer of 4

My bag weighs 4 pounds how many ounces does it weigh

Answers

Answer:

The answer is 64 ounces.

Answer:

64 ounces

Step-by-step explanation:

1 pound = 16 ounces

4 * 16 = 64

Sun and Spokes sells racing bikes for $1,800. A bicyclist purchases one of the bikes for 30% less
han the retail price. How much did the bicyclist spend on her racing bike?

Answers

Answer:

$1,260

Step-by-step explanation:

You first need to find 30% of 1,800, which is 540. And then, because it's 30$ less than retail price, you would need to subtract that from the initial price:

1,800-540 = 1,260

headache
exhausted
less
patrick

Answers

Answer:

Step-by-step explanation:

c is correct.  To verify this, look at the point (4, 4) on the black graph.  For the same x value (4), we have on the red graph the point (4, 2).  If we now look at this point (4, 2) on the red graph we see that the y-value (2) is half that of the point (4, -4) on the black graph:  f(x) = (1/2)y

HELP ASAP 23 POINTS!!!!!!!!!!!!!!!!!!!

Answers

Wheres ya question????

Please help me with this

Answers

Answer:

nice handwriting

Step-by-step explanation:

i like it

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