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

does 2/4 and 2/3 have the LCM of 12?

Answers

Answer:

yes

Step-by-step explanation:

2/4 and 2/3 has a LCM of 12

Answer:

Step-by-step explanation:

The LCM of 2/4 and 2/3 is 2. This is because 2/4 goes into 1, 3/2, and 4/2=2. 2/3 goes into 4/3, 6/3=2.

guys pls help me!!!!!!

Answers

Answer: x = 21 degrees

Explanation:
Since x and the given angle are along a shared straight line and make up different angles that add to 180 degrees, x can be found with the equation 180 - 159 = x.

Answer:

x=21

Step-by-step explanation:

x=180°-159° (int angles, m//n)

=21°

Hardest question in the world

Answers

Answer:

ytuty

Step-by-step explanation:

tyjtyjtyjtyjt

Answer:

17) postdate,  postcard, postage, postmark...

18) banalities

Step-by-step explanation:

I can solve the first word: Post

**From Merriam-Webster Dictionary:

banality (noun) - (plural) banalities

Graph y=-4/7x+1. 10 points

Answers

Answer:

Step-by-step explanation:

Slope= - 4/7

y-intercept: 1

The slope is negative. 4 down from y=1 and seven to the right and 4 up from y=1 and 7 to the left. You only need two points to trace a line.

What is the distance between Neptune and the sun in scientific notation?

Answers

Answer:

2,795,173,960 miles

Step-by-step explanation:

Metric: 4,498,396,441 km English: 2,795,173,960 miles Scientific Notation: 4.4983964 x 109 km (3.0069923 x 101 A.U.) By Comparison: 30.070 x Earth

Zach bought 8 pieces of bubble gum that were $0.20 each. He used a number line to find the total cost. Choose the numbers to complete the sentences.

Answers

Answer:

He moved 7 hash marks and the product is $1.60

Step-by-step explanation:

It’s says he starts at 0.2 on the number line, so that’s the second hash mark after the 0. If you move to the right on each hash all the way til the 2, you moved 7 times.

The product of 8 x .20 = 1.60

A family drives 412 miles in 110 of an hour. What is their rate of speed in miles per hour?

Answers

Answer:

45mph

Step-by-step explanation:

PPPPPPPPPPPPPPLLLLLLLLLLLLLLEEEEEEEEEEEEESSSSSSSSSSSSSSSAAAAAAAAAAAAASSSSSSSSSSSSSSSSSSSSEEEEEEEEEEE help me!

Answers

Answer:

a

Step-by-step explanation:

The test scores for the Chapter 5 test in Algebra I were:75,95,90,95,60,95,75,95,90Question:a. Find the mean, median, mode, and range of the data.b. Which measure best describes the set of data? Why?c. If test scores of 65 and 75 were added to the set, what would happen to the mean?

Answers

Answer:

mean : 85.6

mode : 95

median : 90

range : 35

Step-by-step explanation:

B The mean

The reason why is because it shows the average test score of all the students .

C The mean would decrease because there is more numbers to divide by after adding all of them together .

Plz help it’s due tonight!!!

Answers

b b b b b b b b b b b b b

6. Write the equation that contains the point (3,-9), and in which the graph of the line has a slope of 4 in slope-intercept fom​

Answers

Answer: y=4x-9

Step-by-step explanation: y=mx+b .  formula

What is the x-intercept of the line with this equation 8x1/3y=16

Answers

8x - ¹/₃y = 16

8x - ¹/₃(0) = 16

     8x - 0 = 16

          8x = 16

           8      8

           x = 2

HELP NOW PLEASE OK TY

Answers

Answer:

G=(0,-1) R=(5,-3)

Step-by-step explanation:

you go to the x-axis find your point then go to the number the point is on then count up or down on the x line, however many spaces it takes from going to the line of it is on up or down then thats your answer.

2 1/16 as a improper fraction

Answers

Answer:

13/6

Step-by-step explanation:

Answer: 33/16

Step-by-step explanation:  2*16 = 32...      32+1= 33

1,2,7,10,13,18,20,28,31,38-46 even,76 evaluate only except 38 t0 46 name property

Answers

Answer:

]mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

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Find the area of the shaded portion. ​

Answers

Answer:

Step-by-step explanation:

There's a fact hidden in the diagram that if you do not know it, the problem will be very difficult to solve. The fact is this. If a 60 degree angle is enclosed by the hypotenuse and the other  of side of the 60 degree angle. the hypotenuse is 2 times the length of the side.

In this case the hypotenuse is 12. The given side is 6. The third side of the right triangle is 12^1 - 6^2  = 144 - 36 = 108

The length of the third side is sqrt(108) = 6*sqrt(3)= 10.39

The area of one of the triangles is 1/2 * 6 * 10.39 = 31.18

The area of two of the triangles is 2 * 31.18. = 62.36

Now you you  have to do is find the area of the unshaded sector

Area = given angle / 360 * pi * r^2

Area = 120/360  *  3.14 * 6^2

Area = 37,68

The area of the shaded part = the area of the 2 triangles - the unshaded sector

The area of the shaded part = 62.36 - 37.68 = 24.68

. The number which when divided by 19 gives the quotient 4 and remainder
4 is
(a) 76 (b) 80 (c) 72 (d) 152

Answers

Answer:

b option 80 is the correct answer

please mark me as the

have a beautiful day

Answer:

a) 76

Step-by-step explanation:

Divide each number by 19.

76/19=4

80/19=4.21

72/19=3.79

152/19=8

Find the circumference and area of a circle with diameter 22 ft.

Answers

Answer:

C ≅ 69.08

a= 380.1 square inches

Step-by-step explanation:

the zeros of the function f(x)=-(x+1)(x-3)(x+2) are -1,3 and ___ and the y-intercept of the is located at (0,__)

Answers

Also x=-2 is zero for function

get these right and ill give you brainlyest :D and a bonus of 50 points/ you need to tell me how i can give you the 50 points if you get the question right..

Answers

Answer:

5. 5k-4. 7. 13-8x. 9. 15x-5. 11. -1/4y +2

Step-by-step explanation:

it's all about combining the same variables

what is twelve billion three hundred forty two million sixty five in numbers

Answers

Answer:

12,342,000,065

Step-by-step explanation:

yeah-ya

Write the square root of z^3z^4 as an algebraic expression using a rational exponent

Answers

Answer:

[tex]z^{7/2}[/tex]

Step-by-step explanation:

sqrt[(z^3)(z^4)] = [tex]\sqrt{z^7}[/tex] = [tex]z^{7/2}[/tex]

Write the equation in slope intercept form. what are the slope and y-intercept? -3x - 10y = 7

Answers

slope intercept is basically solve for y y=mx+b m=slope b=yintercept -3x-10y=7 add 3x to both sides -10y=3x+7 divide both sides by -10

at the luau, a vender was selling 5 leis for $25. what is the unit price?

Answers

Answer:

$5

Step-by-step explanation:

if 5 leis are worth $25, each lei would be 25/5

25/5 is 5/1, when the denominator is one, that is unit price

the unit price is $5

Using a set of numbers find the mean round to the nearest tenth median mode and range 8,6,3,7,1,6,5,6

Answers

The median is 6 the mode is 6 and the range is 7

Explanation : the median is 6 because this is the very middle number
The mode is 6 because it is the number that occurs most
And the range is 7 because the largest number is 8 and the smallest is 1 , and 8-1= 7

Miguel is trying to decide what luggage to buy. He has a choice of brown or black, wheels or no wheels, and small, medium, or large.


What is the probability of Miguel buying a large black piece of luggage with wheels?


A) 1/16

B) 1/12

C) 1/6

D) 1/4

Answers

Answer:

1/12

Step-by-step explanation:

the standard form of (6x1)+ 1000/8 =

Answers

Answer:

131

Step-by-step explanation:

Hansen played an arcade game that cost 25 tokens PER GAME. In six games, Hansen won 0 tokens, 10 tokens, 50 tokens, 0 tokens, 5 tokens, and 10 tokens. What is the change in the number of tokens Hansen has?

Answers

Answer:

150-75=75, so a change of -75

Step-by-step explanation:

He spent 150 tokens and only got 75 tokens back

Mike is planting flowers in plastic cups for his science fair project. Each of the cups is filled to the top with a mixture of soil, fertilizer, mulch, and sand in different proportions. Each cup contains 1/2 cup of soil, 1/3 cup of fertilizer, and 1/8 cup of mulch. How much sand should he use to fill the cup?

PLZ HURRY

Answers

Answer:

He will need 1/8 of sand to fill the cup

Step-by-step explanation:

For 1/2 i filled half of the cup for 1/3 i made new cup split it in 3 and added it in main cup then for 1/8 made a new cup split it in 8 and added it to main cup the test is sand.

x/3+10=15 pls help me

Answers

the Answer is...:

X=195

Answer: X is 15

Step-by-step explanation:

Multiply both sides with 3

(x/3) + (10 x 3) = 15 x 3

x + 30 = 45

Add - 30 to both sides

x + 30 - 30 = 45 - 30

x = 15

Hope this helps!

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