Peter buys tickets for his family to see his favorite movie, Elephant Mistake. He pays $37.50 for 2 adult tickets and 2 student tickets. The next week he goes back with his friends and pays $35.25 for 1 adult ticket and 3 student tickets. Choose the system of equations that can be solved to find the price of an adult ticket, x, and the price of a student ticket, y.

Answers

Answer 1

Answer:

the price of adult ticket and student ticket be $10.50 and $8.25 respectively

Step-by-step explanation:

Let us assume the price of adult ticket be x

And, the price of student ticket be y

Now according to the question

2x + 2y = $37.50

x + 3y = $35.25

x = $35.25 - 3y

Put the value of x in the first equation

2($35.25 - 3y) + 2y = $37.50

$70.50 - 6y + 2y = $37.50

-4y = $37.50 - $70.50

-4y = -$33

y = $8.25

Now x = $35.25 - 3($8.25)

= $10.5

Hence, the price of adult ticket and student ticket be $10.50 and $8.25 respectively


Related Questions

factorise p-q-x(q-p)​

Answers

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

The drama club is ordering t-shirts for its members. A local t-shirt company charges $83.95 to set up the design plus $7.45 for each shirt. The drama club has budgeted $300 to spend on t-shirts.

Write an equation that you could solve to find the maximum number of shirts the drama club can order. Be sure to define your variable.​

Answers

Answer:

The max # of shirts they can order is 29

Step-by-step explanation:

300 = 83.95 + 7.45x

216.05 = 7.45x

x = 29

Answer:

Step-by-step explanation:

83.95+7.45=  91.4

so they have

300

- 91.4

--------

208.6

so after they still have money left

5. Arianna purchased a house for $156,000 and obtained a mortgage for $147,700. She purchased 2 discount points and 3 origination points. What is the cost for each? (3 points)
discount: $2,954; origination: $4,431
discount: $3,120; origination: $4,680
discount: $4,431, origination: $2,954
discount: $4,680; origination: $3,120

Answers

D i think is the answer

Step-by-step explanation:

who has the problem gdjjsjegggshdgghdvdvvrbdhjlalalsleir

Help help help help help help

Answers

Answer:

volume = 160 cm³

Step-by-step explanation:

volume = 4 x 4 x 10 = 160 cm³

160 cm^3

4x4x10 = 160

Cm^3 is the unit for volume

What is 25=10+w. I need it ASAP ROCKY

Answers

Answer:

W=25-10=15..........

13 (3) = ???

Please help ant get the answer for nothing...

Answers

Answer:

39

Step-by-step explanation:

13 x 3?

39 because 13x3 is 39

If john works 20 hours a week and gets a fixed amount of 4 dollars for the first 8 hours and an additional 2 dollars for each additional hour, how much money does he make?

Answers

20 - 8 = 12
8H = $4 x 8.... 32
12 x $2 = $24
$32 + $24 = $56

3a=1
What is a equal to?

Answers

Answer:

1/3

Step-by-step explanation:

3a = 1

/3    /3

a = 1/3

Answer:a

a= one third or 1/3

3 times 1/3 = 1

Step-by-step explanation:

Jenny wants to buy an MP3 player that costs $30.98. Write an equation so find how much change (x) she receive if she gives the cashier $40. *

Answers

Answer:

40.00-30.98=x

Mr. Ford Invested $12,450 in a bank at 7.25% per annum simple interest for 6 years. calculate the interest he was paid

Answers

Answer:

If my calculations are correct, $5415.75 of interest was paid throughout 6 years.

Step-by-step explanation:

7.25% of 12,450 is 902.625.

If the interest being paid was the 7.25% of 12,450 throughout the 6 years then the answer is 902.625 x 6 ( the amount of years ) = $5415.75.

In other cases such as 7.25% of the new number of invested money after the loss of 902.625 then this answer is wrong, but I solved as I understood.

Hope this helps.

Law of sines problem, please help. solving for x

Answers

Answer:

x = 62.9° (3 sig. fig.)

Step-by-step explanation:

Simply by using the cos law,

cosx = (1.3² + 2.1² - 1.9²)/2(1.3)(2.1)

x = 62.9° (3 sig. fig.)

Which choice shows 6+2+14 rewritten correctly using the commutative property and then simplified correctly?

Answers

Answer:6+14+2=20+2=22

Step-by-step explanation:6+2+14=22

In commutative property, the order of the addends is changed and the answer is simplified.

PLEASSSEEEE HELPPPP

WXYZ has vertices W(6,2), X(3,7), Y(-1,4), and Z(4,-2)

a)Find perimeter
b)Find the perimeter of the image of WXYZ after dilation of 1/2 centered at origin and compare it to perimeter of WXYZ

Answers

Answer:

23,11333753

Step-by-step explanation:

1. Use The Coordinates To Find The Distances Of The Four Sides

2. The Formula For Perimeter Or A Quad =

AB + BC + CD + AD

Basically Add The Distances Of The Four Sides

So: WX + XY + YZ + WZ

[tex] \sqrt{34} + 5 + \sqrt{61} + 2 \sqrt{5} [/tex]

= 23,11333753

.°. 23,1

b.????

We can write the parameter as -

P = 23.13P = 11.55

What is a quadrilateral?

In geometry a quadrilateral is a four-sided polygon, having four edges and four corners.

Given is that WXYZ has vertices W(6, 2), X(3, 7), Y(-1, 4), and Z(4, -2).

The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 - dimensional plane, the distance between points (x₁, y₁) and (x₂, y₂) is given by the Pythagorean theorem -

       {d} = √{(x₂ - x₁)² + (y₂ - y₁)²}

{ a } -

WX = 5.83

XY = 5

YZ = 7.8

ZW = 4.5

So the perimeter would be -

P = WX + XY + YZ + ZW

P = 5.83 + 5 + 7.8 + 4.5

P = 23.13

{b} - After the dilation, the sides will become -

WX' = 5.83/2 = 2.9

XY' = 5/2 = 2.5

YZ' = 7.8/2 = 3.9

ZW' = 4.5/2 = 2.25

The perimeter will be -

P = WX' + XY' + YZ' + ZW'

P = 2.9 + 2.5 + 3.9 + 2.25

P = 11.55

Therefore, we can write the parameter as -

P = 23.13P = 11.55

To solve more questions on dilations, visit the link below -

brainly.com/question/12413243

#SPJ5

Which expression models the phrase "Wally mowed two more lawns than he mowed last week"? n + 2 n minus 2 2 minus n 2 n

Answers

Given:

The phrase is "Wally mowed two more lawns than he mowed last week".

To find:

The expression that models the given phrase.

Solution:

Let the number of lawns mowed by Wally last week be n.

We know that, we use plus sign "+" for "more".

If Wally mowed two more lawns than he mowed last week, then the lawns mowed by the Wally this week is the sum of n and 2.

Lawns mowed this week = [tex]n+2[/tex]

The required expression for the phrase "Wally mowed two more lawns than he mowed last week" is n+2.

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

Write an equation of a parabola opens upwards and has vertex (7, - 6).


Any help?

Answers

Answer:

f(x) = x² - 14x + 43

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (7, - 6 ) , then

f(x) = a(x - 7)² - 6

Since the parabola opens upwards then a > 0

let a = 1

f(x) = (x - 7)² - 6 ←in vertex form

f(x) = x² - 14x + 49 - 6

f(x) = x² - 14x + 43 ← in standard form

To lease his car, Greg had to pay a $1000 down payment, plus $250 per month. Write an equation that represents the total amount paid. DO NOT PUT ANY SPACES IN YOUR ANSWER.

Answers

Answer:

250x+1000

Step-by-step explanation:

The linear equation that represents the total amount paid is 1000 + 250x.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given,

Amount of down payment = $1000

Per month payment = $250

For x number of months = $250x

Total paid = 1000 + 250x

Hence "The linear equation that represents the total amount paid is 1000 + 250x".

For more about the equation,

brainly.com/question/10413253

#SPJ5

12
11
10
9
8
4
3
-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8 9 10 11 12
-2
-3
-4
-5
-6
-7
-8
-9
-10
-11
-12

Answers

Answer:

You didn't say what the question was

Answer: 3

Step-by-step explanation:

A culture of bacteria has an initial population of 330 bacteria
and doubles every 8 hours.
what is the population of bacteria in the culture after 17 hours,
to the nearest whole number?

Answers

Answer:

1439.4702≈1439

5. Is the side that is 100 meters long the hypotenuse, opposite or adjacent side? *
Hypotenuse
Adjacent
Opposite

Answers

Answer:

adjacent

Step-by-step explanation:

It is the leg that touches the 18 degree angle

The width of a rectangle is one less than one third of the length. The perimeter of the rectangle is 78 cm. What are the dimensions of the rectangle?

Answers

Answer:

26

Step-by-step explanation:

just use a calculator or search it up

Cant seem to figure out the answer help?

Answers

Answer:

The surface area is 900cm^2

Step-by-step explanation:

Multiply 3 and 10 to get 30

Then square 30 by multiplying 30 x 30, to get 900.

Answer:

The Surface of the area is 30.

Step-by-step explanation:

Multiply 3 and 10. And you get 30. Hoped this helped : )

Please help I an desperate

Answers

Answer:

A

Step-by-step explanation:

Draw an angle of 15° like this (∠) on a piece of paper, label this angle J, extend the base of the triangle and label the hypotenous 11cm (JK). Do you get the solution now? If no, here is an explanation.

This problem can be explained with sin law,

[Assume KL = 4cm]

(sin15)/4 = (sinL)/11

L = 45.4° or 135° (3 sig. fig.)

Since we got 2 possible case for the angle L, there are two possible set of triangles. Hope this will help you understand more about the problem, comment below if you still have any questions.

x/7=1/4
please help will give brainlest

Answers

Answer:

x=7/4

Step-by-step explanation:

cross multiply and divide both sides

Your parents are buying a new car for $15,000. They pay 6.25% sales tax . How much do they pay for the car including tax

Answers

Answer:

$15,937.50

Step-by-step explanation:

15000 × 1.0625 = 15937.5

6 – [ - 2( - 3 – 5)] =

Answers

Answer:

-10

Step-by-step explanation:

Using PEMDAS start in the inside (-3-5) = -8 then -2(-8) = 16 then the final step

6 - 16 = -10

Answer:

-3 - 5= -8

-2 x -8= 16 (2 negatives make a positive when multiplied)

6-16= -10

if the force of an object is 100N and the mass is 25Kg, what is the acceleration?

Answers

Answer:

4ms-²

Step-by-step explanation:

Applied Force=100N

Mass of the object=25Kg

Let the acceleration be 'a'.

Force=Mass*Acceleration

100=25*a

100/25=a

4=a

HELP
Write an equation of the line in slope intercept form using the graph below.

Answers

The answer is y=1/4x because the y-intercept is zero and the slope is 1/4.

please helps
Which function represents this sequence?

A.
f(n) = 4 ∙ 2n-1

B.
f(n) = 4n-1

C.
f(n) = 2 ∙ 4n-1

D.
f(n) = 2n-1

Answers

Answer: A. f(n) = 4 ∙ 2n-1

Step-by-step explanation:

because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.

what is equvalint to 1/2a-4

Answers

If your doing ireadys the answer is 1/2(a-8 but no negative 8 it’s just original 8

Ben and Landon took turns driving on the recent 820 mile road trip Ben averaged 60 mph while Landon average 56 mph if the trip took them 14 hours how many hours did Landon Drive

Answers

Answer:

9 hours

Step-by-step explanation:

Let :

Landon hours = x

Ben hours = y

x + y = 14 - - (1)

60x + 56y = 820 - - - (2)

From (1)

y = 14 - x

60x + 56(14 - x) = 820

60x + 784 - 56x = 820

4x = 820 - 784

4x = 36

x = 36/4

x = 9

Landon drove for 9 hours

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