Two groups of people went to see Iron Man 3
in IMAX 3-D. The first group spent $73.50 on
two adult and three children tickets. The other
group spent $109.50 on five adult and two
children tickets. What is the cost of one adult
ticket?

Answers

Answer 1

Answer:

x = 16.5

Step-by-step explanation:

2x + 3y = 73.50

5x + 2y = 109.50

(2x + 3y = 73.5) -5

(5x + 2y = 109.5) 2

-10x - 15y = -367.5

10x + 4y =219

-11y = -148.5

y = 13.5

2x + 3(13.5) = 73.50

2x + 40.5 = 73.5

2x = 73.5 - 40.5

2x = 33

x = 16.5

Answer 2

Answer:Answer: An adult’s ticket costs $9 while a children’s ticket costs $5.

Step-by-step explanation:

1). 2x + 3y = 33

2). 5x + 2y = 55

3). I’m going to use substitution.

Isolate a variable (x):

2x + 3y = 33

2x = -3y + 33

X = (-3y + 33)/2

X = -3/2y + 33/2

Substitute and solve for y:

5x + 2y = 55

5(-3/2y + 33/2) + 2y = 55

-15/2y + 165/2 + 2y = 55

-11/2y = -55/2

Y = 5 <— children’s ticket.

Solve for x:

2x + 3y = 33

2x + 3(5) = 33

2x + 15 = 33

2x = 18

X = 9 <— adult’s ticket.

Check:

5x + 2y = 55

5(9) + 2(5) = 55

45 + 10 = 55

55 = 55

2x + 3y = 33

2(9) + 3(5) = 33

18 + 15 = 33

33 = 33

Step-by-step explanation:


Related Questions

will give brainlist

Answers

Answer:

second answer

Step-by-step explanation:

yards is commonly used for large sparse area measurements

Which data set has a variation, or mean absolute deviation, similar to the data
set in the given dot plot?

Answers

Answer:

d

Step-by-step explanation:

I did the test. .........................

Answer:

D

Step-by-step explanation:

I did the test :)

Which list shows all the possible unique outcomes if Emilio chooses 3 buttons at one time from his jar?

Answers

Need to know how many buttons in the jar and what colours they are

Erik read a total of 4 books over 2 months. After belonging to the book club for 17 months, how many books will Erik have read in all? plss hep me thank you!!

Answers

Answer: 34 books

Step-by-step explanation:

Since Erik read a total of 4 books over 2 months. This means that every month, he read (4/2) = 2 books.

After belonging to the book club for 17 months, the number of books that he'll have read will be the number of books he read per month multiplied by 17 months. This will be:

= 2 × 17

= 34 books

2. A store sells an assortment of batteries
in bulk packs of 300. Of those batteries.
90 are AAA size. What percent of the
pack are AAA-size batteries?
A 10%
B 30%
C 60
D 90
Answer quick PLZZ no website

Answers

Answer:

30%

Step-by-step explanation:

# of bulk packs = 300

# of triple As  = 90

% = 90 / 300 * 100%

% = .3 * 100%

% = 30%

Answer:

b. 30%

Explanation:

90 ÷ 300 × 100%

= 9 ÷ 30 × 100%

= 0.3 × 100%

= 30%

i hope this helps! :D

Fred is baking cookies for a school sale. It takes 3/4 cups of sugar to make on batch of cookies how many cups of sugar does he need to make 9 batches

Answers

Answer:

6 3/4 cups.

Step-by-step explanation:

Multiply 3/4 by 9.

Hope this helps!

4/15 divided by 3/5

options:
4/9
7/15
13/15
4/25

Answers

Answer:

4/9

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

James had $43 on his birthday he received $25. Write and solve and equation to find out how much money he has now.

Answers

Answer:

43+25=68

Step-by-step explanation:

What are two numbers that multiply to 18 but add to -9?

Answers

Answer:

-6 and -3

-6 x -3 = 19

-6 + -3 = -9

Answer:

-6 x -3 = 18

-6 + -3= -9

Step-by-step explanation:

hope it helps!!

which sign do i use??/

Answers

the greater than symbol i presume

how many solutions does equation 4x + 3 - 1 = 2(2x + 2) - 2x have explain your reasoning.

Answers

Answer:

Anwser: X=1

4x+3-1=2(2x+2)-2x

4x+2=4x+4-2x

4x+2=2x+4

-2 -2x

2x=2

X=1

Step-by-step explanation:

Answer:

one solution

Step-by-step explanation:

Given

4x + 3 - 1 = 2(2x + 2) - 2x ← distribute parenthesis on right side

4x + 2 = 4x + 4 - 2x

4x + 2 = 2x + 4 ( subtract 2x from both sides )

2x + 2 = 4 ( subtract 2 from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

What is the slope of Y-9=-2(x-8)

Answers

12.5 is x and 25 is y

What is the slope of this line? Please awnser

Answers

Answer:

-1/2

Step-by-step explanation:

The rise is -1 and the run is 2, the slope is rise over run

I hope this helps :)

The answer should be -1/2

The local pizza restaurant offers free delivery if you live within a 6-mile radius of the restaurant. The restaurant is located at the origin. Ada’s house is 4 miles west and 5 miles north of the restaurant at point (–4, 5). Does Ada’s house lie on or within the circle representing the area that gets free delivery?

a. No, the distance from the restaurant to Ada’s house is miles, which is greater than the 6-mile maximum radius.
b. Yes, the distance from the restaurant to Ada’s house is exactly 6 miles.
c. No, the distance from the restaurant to Ada’s house is 7 miles, which is greater than the 6-mile maximum radius.
d. Yes, the distance from the restaurant to Ada’s house is miles, which is less than the needed 6-mile radius.

Answers

Answer:

A.......No, the distance from the restaurant to Ada’s house is  miles, which is greater than the 6-mile maximum radius

Step-by-step explanation:

Using the distance between two points, it is found that the correct option regarding whether Ada’s house lie on or within the circle representing the area that gets free delivery is given by:

a. No, the distance from the restaurant to Ada’s house is [tex]\sqrt{41}[/tex] miles, which is greater than the 6-mile maximum radius.

What is the distance between two points?

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, we want to find the distance between the restaurant at the origin (0,0) and Ada's house at point (-4,5), hence:

[tex]d = \sqrt{(5 - 0)^2 + (-4 - 0)^2} = \sqrt{41} > 6[/tex]

Greater than 6 miles, hence option a is correct.

More can be learned about the distance between two points at https://brainly.com/question/18345417

Which system of equations is shown by the graph?

Answers

Answer:

y-x=15 and 25+2x=y

Step-by-step explanation:

If f (-8)= 0 and f (x)= x^3-x^2-58x+112, find all the zeros of f(x) write your answer in ascending order

Answers

Answer:

The zeros in ascending order are 2, 7, 8.

Step-by-step explanation:

Since f(-8) = 0, it means that (x + 8) is a factor of the function f(x)= x³ - x² - 58x + 112.

I have attached the long division of this to get the remaining factors of the polynomial function.

The remaining factor is;

x² - 9x + 14

Using quadratic formula via a calculator, we have; x = 7 and x = 2

Thus,the zeros of the polynomial function f(x)= x³ - x² - 58x + 112 in ascending order are;

2, 7, 8

what's 60.540 to the nearest degree?

Answers

Answer:

don't know :)

Step-by-step explanation:

pls help me, i will actually give BRAINLIEST:

What is the transformation shown in the graph?

Answers

Answer:

Step-by-step explanation:

it's rotated by 90° about the origin , in a clock wise direction

Given sin y = -4/5, where π < y < 3π/2, and cos x = 12/13, where 0 < x < π/2. Find the exact value of sin (x - y).

Please show all the exact steps in order I am really lost on how to solve this.

Answers

Answer:

Solution given:

sin y = -4/5

p/h=4/5

p=4

h=5

b=√{5²-4²)=3

cos y = b/h=-3/5

again

cos x=12/13

b/h=12/13

b=12

h=13

p=√(13²-12²)=5

sin x=p/h=5/13

now

sin[x-y]=sinxcosy-cosxsiny

=5/13×-3/5-(12/13×-4/5)=33/65 is your answer.

6. It took Todd 9 hours to paint 4 rooms.
If he continued painting at that rate,
how many rooms could he paint in
12 hours? Explain your reasoning.
Answer quick PLZZ no website

Answers

Answer:

5 rooms

Step-by-step explanation:

4 rooms = 9 hours

9 hours = 540 minutes

1 room = 540 ÷ 4 = 135 minutes

60 x 12 = 720 minutes (12 hours)

720 ÷ 135 = 5.33333

5.3333 estimated to nearest whole number = 5

What is the solution

n/7=5

Answers

Step-by-step explanation:

n/7=5

times 7 on both sides

n=35

What is the slope if you are given the following ordered pairs? (Simplify)
(-1,6) & (8,6)

Answers

Answer:

7/2

Step-by-step explanation:

y2-y1/x2-x1

(6-(-1)/8-6) = 7/2

i dont know the answer!

Please help me with my geometry work

Answers

-distance/length?
-line
1.Circumference is the perimeter of a circle
2. They both are the measure of the distances around each shape.

solve for y
2y-13=11

Answers

Answer:

y = 12

Step-by-step explanation:

2y - 13 = 11

add

2y = 24

divide

y = 12

2y   -   13   =   11

        + 13    + 13

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

2y   =  24

/2        /2

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

y      =  12

can someone help me with this question? (no links!)

Answers

Answer:

Angle 1 is 105 degrees

Step-by-step explanation:

180 - 75 = 105

so

Angle 1 is 105 degrees

Hope this helped! Have a nice day, and feel free to follow me on i/n/s/t/a (leo_g_rios)

-

Answer:

105°

Step-by-step explanation:

<2 and <6 are corresponding angles and have equal measure.

Now

<1+<2=180°

<1=180°-<2

<1=180°-75°=105°

a27=16
a
27
=
16
. What is the value for a?

Answers

I guess this is what you need, I’m sorry if it’s not

a=11

Step-by-step explanation:

b/c a27=16 then both side subtract 27

27-27=16-27then a=11

Gary has (20x + 7) dollars. Gary decides to buy two pairs of jeans. Each pair of jeans costs (2x - 3) dollars.

Answers

Complete question :

Gary has (20x + 7) dollars. Gary decides to buy two pairs of jeans. Each pair of jeans costs (2x - 3) dollars. write an expression that represents how much money gary will have left over after the purchase then simplify your expression

Answer:

$(16x - 1)

Step-by-step explanation:

Given that:

Amount Gary has = $(20x + 7)

Price per pair of jeans = $(2x - 3)

Number of pairs = 2

Cost of 2 Jean pairs = 2 * $(2x - 3) = $(4x - 6)

Amount left after purchase :

$(20x - 7) - $(4x - 6)

20x - 7 - 4x + 6

20x - 4x - 7 + 6

$(16x - 1)

Is [tex]1-2x^{2}[/tex] in standard form or factored form?

Answers

Answer:

standard form for a quadratic expression

Step-by-step explanation:

This is a quadratic expression.  If you want this expression in standard form, write the terms in descending order of powers of x:  -2x^2 + 1.

This   -2x^2 + 1   has not yet been factored.

-2x^2 + 1 is in standard form.

Solve the given system of equations.

4x+5y=10
-x-8=3y

Answers

X= 10

y=-6



Hope this helps

What would it be? thank you

Answers

Answer:

C = 43.98 inches; A = 153.94 square inches

Step-by-step explanation:

2*pi*(7)=43.98

pi*(7)^2=153.94

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