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

solve the inequality. 1/3x + 6 ≥ -1​

Answers

Answer:

x_>_ -21

Step-by-step explanation:

that's the answer trust ........... n nnmmmm

Will give brainliest to best answer
Simplify please
-7(3e + 4) + 6e - 2

Answers

Answer:

-30 - 15e

Step-by-step explanation:

given -7(3e + 4) + 6e - 2, we can distribute -7 to parenthesis

-21e - 28 + 6e - 2, then we add like numbers

-15e - 30

Answer:

-15e - 30

Step-by-step explanation:

-7(3e + 4) + 6e - 2

Simplify:

-21e + (-28) + 6e - 2       (distribute -7 to 3e + 4)

-21e + 6e - 28 - 2          (combine like terms)

-15e - 30                        (combine like terms)

-Chetan K

What is the domain of function p?
p(x)=√x-1 + 2

Answers

Answer:

the domain is (x ≥ -1 ) if you need it in interval notation it is (-1, infinity )

helppp nowww
write 0.05199 to 3 significant figures

Answers

Answer:

Sig Figs

4

0.05199

Decimals

5

0.05199

Scientific Notation

5.199 × 10-2

E-Notation

5.199e-2

Words

zero point zero five one nine nine

A compound inequality using the variable x is [] or []

Answers

Answer:

x is -7.5  or -4.5

What is the equation of a line that is parallel to the line y = 5x – 1 and passes through the point (4, –3)? A. y = 5x + 19 B. y = –5x + 17 C. y = 5x – 23 D. y = –15x – 115

Answers

Answer:

y = 5x - 23

Step-by-step explanation:

Slope: 5

Point (4, - 3)

y-intercept: -3 - (5)(4)

= -3 -20 = -23

y = 5x - 23

What is the equation of the vertical line through (-8,5)(−8,5)left parenthesis, minus, 8, comma, 5, right parenthesis?

Answers

x = -8

since you know that it’s a vertical line, it’s going to be x = _. since -8 is the x coordinate, the equation is x = -8. hope this helped!

Find the value of x.

Answers

Answer:

[tex]x = 88[/tex]

Step-by-step explanation:

the degrees of a triangle = 180. write an equation adding the angle measures given

[tex]48 + x - 44 + x = 180[/tex]

collect like terms on the left

[tex]2x + 4 = 180[/tex]

subtract 4 from both sides

[tex]2x = 176[/tex]

divide both sides by 2

[tex]x = 88[/tex]

Kristie needs 2.5 yards of fabric for bridesmaid dresses.
If she purchased 28.5 yards of fabric, how many complete
dresses would she make?

Answers

So it’s

The yards of fabric / how much fabric is needed to make a dress
So
28.5/2.5
=11.4
So 11 complete dresses

An art teacher recorded whether the students in three of her classes prefer water color or oil painting. The art teacher plans to create a two-way table to analyze her results. Which variables can the art teacher use as the row and column headings of the table? painting preference and total number of students painting preference and number of students in class 1 class number and painting preference class number and number who prefer oil.

Answers

Answer:

C.) class number and painting preference








Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

the answer is C I believe  

Step-by-step explanation:

The population of insects in an experiment has
been increasing by 9% each week. If there were 16
insects at the beginning of the experiment, predict
how many insects there will be after 8 weeks.
First, complete the equation:
?
=
Future Amount = 16 (1 + 0.09)


time
initial amount
periods
growth rate

Answers

Answer:

8

Note: I got it right on the same test you took as me.

The value of time period for the equation is 8.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

The population of insects is increasing by 9% each week = 0.09

At the beginning of the experiment, number of insects = 16

Number of insects increased per week

⇒ [tex]16+16(0.09)[/tex]

Let the time period be x.

Number of insects increased after 8 weeks can be found by the equation,

[tex]Future Amount = 16 (1 + 0.09)^{x}[/tex]

⇒ [tex]Future Amount = 16 (1 + 0.09)^{8}[/tex]

Hence we can conclude that the value of time period for the equation is 8.

Learn more about word problems here

brainly.com/question/20594903

#SPJ2

Please help me I really need your help ASAP

Answers

in order to find the answer to your questions you need to find the value

Example:

y+10=18

y=8

The best-selling book Samantha has been waiting for hit the shelves at $21.56. What percent discount was this off the cover price of $26.95?

Answers

Answer:

20%

Step-by-step explanation:

First you must find the difference between the original price ($26.95) and the discounted price ($21.56)

26.95-21.56=5.39

Second find x

% of = #*x

Meaning

5.39=26.95*x

Divide 5.39 by 26.95

0.2=x which equals 20%

the answer would be 20 percent.

WORTH 50 POINTS HELP ASAP WILL GIVE BRAINLIEST!
The price of a new pair of shoes is $52.00. If you order them directly from the company on the internet, you can save money and the price is only $42.64. What is the percent change?
18% decrease
22% decrease
18% increase
22% increase

Answers

18% decrease

Hope this helped you-have a good day bro cya)

Answer:

The percent change is an 18% decrease.

Step-by-step explanation:

Simplify
8r^0

A. 8
B. 1​

Answers

Answer:

A). 8 is correct answer

Step-by-step explanation:

8 x 1 = 8

(Hope this helps can I pls have brainlist (crown )☺️

adele started her homework at 9:10 she finished at 9:45

Answers

the question is kinda incomplete

Write the domain and range of the function represented below. (2,9), (3, 4), (-1,2), (6, 1)

Domain:
Range:​

Answers

Answer:

Domain:  { 2 ,  3 ,  − 1 ,  6 }

Range: { 9 ,  4 ,  2 ,  1 }

Step-by-step explanation:

   

Please helppp help pls

Answers

Answer:

true is the answer

Step-by-step explanation:

hope it helps.

Helpppppppppppppppppppppppppppp

Answers

Answer:

it would be A-28.66

Step-by-step explanation:

just divide the total bill by the number of months.

Answer:

The apple question is b and the bill question is a

Step-by-step explanation:

for the apple question you multiply 1.89 by 2.4 and round to the nearest 10th

for the bill question you divide 85.98 by 3 which gives you 28.66

There are 144 people in an audience. The ratio of adults to children is 5 to 3. How many children are in the audience.

Answers

Answer:

 

In the audience, there are 90 adults and 54 children

Step-by-step explanation:

If we have 5 adults for every 3 children, we would continue this pattern by saying we have 10 adults for every 6 children, 15 adults for every 9 children, and so on.

 

We can express this situation into an equation by saying 5x + 3x = 144

8x = 144

x = 18

 

So now we know there are 5(18) = 90 adults for every 3(18) = 54 children

 

In the audience, there are 90 adults and 54 children

Answer:

In the audience, there are 90 adults and 54 children

Step-by-step explanation:

I hope this helps ♡

help plz i need help help help plz

Answers

Answer:

The answer is 3x3x3x3

Step-by-step explanation:

Reason: The 4 on top is an exponent. That exponent shows how many 3's you need to put. You need to put 4 3's, so 3x3x3x3

At the start of his work day, Mr. Eriksen had 20 boxes of light bulbs tested and ready to be shipped. On average, he can test 40 boxes of light bulbs each hour. Of the 40 boxes tested each hour, he sets aside 5 boxes for retesting. The remaining boxes are marked as ready to be shipped.

A: Mr. Eriksen's situation can be represented by a linear function. Identify the rate of change and initial value of this function. Explain what these values represent in terms of the situation.

B: Write an equation in slope-intercept form to represent the situation. Use x for the independent variable and y for the dependent variable. Identify what both variables represent.

Answers

Answer:

See below

Step-by-step explanation:

Initial value is 20 as there are already 20 boxes ready for shipment.

Each hour 40 - 5 = 35 boxes are ready for shipment

The linear function for this case is:

y = 35x + 20

35 is the slope or rate of change, 20 is the y-intercept.

y- the number of boxes ready for shipment after x hours.

If the difference of a number and two is tripled, the result is six more than the number. Find the number. Round your answer to the nearest integer, if necessary.

Answers

Answer:

6

Step-by-step explanation:

let the number be x

(x-2)3=x+6

3x-6 = x+ 6

2x= 12

x= 6

name two pairs of perpendicular lines

Answers

Answer:

AC is perpendicular to CD, and DB is perpendicular to AB

The living room in the house has an area of 78 square feet and a width of 12 feet. What is the length of the​ room?

Answers

Answer:

6.5 feet

Step-by-step explanation:

the formula for the area is A=l*w   l=length  w=width

A=l*w

78=l*12

Divide both sides by 12

78/12=6.5

When you have two perpendicular lines that cross at the midpoint, what is the degrees if the angles ?
A( 180
B(90
C(360

Answers

Answer:

B) 90

Step-by-step explanation:

Perpendicular lines always meet at a 90 degree angle.

Answer:

B{90 but it depends which way like it could be A{180 but i'm pretty sure B

Step-by-step explanation:

common since

x^2 - 6x + 1 = 0 by completing the square​

Answers

Answer:

See below.

Step-by-step explanation:

x^2 - 6x + 1 = 0

x^2 - 6x = -1

We halve the coefficient of  x (which is -6/2 = -3) and square it, then add this to both sides:-

x^2 - 6x + (-3)^2 = -1 + (-3)^2

x^2 - 6x + 9 = -1 + 9

(x - 3)^2 = 8

x - 3 = ±√8

x =  3 ± √8

= 0.17, 5.83   to 2 decimal places.

Answer:

[tex]x = - 2 \sqrt{2} + 3 \\ or \\ x = 2 \sqrt{2 } + 3[/tex]

Which step should be performed first when simplifying 18−3+11×2+5?


-3+11

2+5

18-3

11x2

Answers

Answer:

11 x 2

Step-by-step explanation:

By BODMAS rule,

B - Brackets

O - Orders

D - Division

M - Multiplication

A - Addition

S - Substraction

Consider DMAS alone.

Here, there is no division.

So,

Multiplication ( x ) should be the first step.

6 square root x 6 square root x 6 square root

Answers

Answer:216

Step-by-step explanation:

Do you know what 0.009 x 75 is if you do can you help me

Answers

Answer:

.0675

Step-by-step explanation:

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