It would cost $81.61 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan cost $77.44. How much does an average movie ticket cost in each of these countries?

Answers

Answer 1

The average cost of a movie ticket in Japan is $17.99 and in Switzerland is $13.82.

To solve the problem of determining the average cost of a movie ticket in Japan and Switzerland, we need to set up a system of equations based on the information given. If we let J represent the cost of a ticket in Japan and S represent the cost of a ticket in Switzerland, we can formulate the following equations from the scenario provided:

3J + 2S = $81.61 (Cost for three tickets in Japan and two in Switzerland)

3S + 2J = $77.44 (Cost for three tickets in Switzerland and two in Japan)

Now we solve the system of equations using substitution or elimination method. For simplicity, we'll use the elimination method:

Multiply the first equation by 3 and the second equation by 2 to make the coefficients of S the same:

9J + 6S = 3 x $81.61 = $244.83

6S + 4J = 2 x $77.44 = $154.88

Subtract the second new equation from the first to eliminate S:

9J + 6S - (6S + 4J) = $244.83 - $154.88

5J = $89.95

Divide by 5 to solve for J:

J = $89.95 / 5 = $17.99

Now substitute the value of J in either original equation to solve for S:

3(17.99) + 2S = $81.61

53.97 + 2S = $81.61

2S = $81.61 - 53.97

2S = $27.64

Divide by 2 to solve for S:

S = $27.64 / 2 = $13.82

Therefore, the average cost of a movie ticket in Japan is $17.99 and in Switzerland is $13.82.


Related Questions

Which is an example of a function?

A. The cost of a small dish of ice cream at an ice cream parlor and the height of the customer.

B. The time you spend at the library and the distance to the library.

C. The time it takes to drive to the ski resort and the speed drive.

D. The price of a one-year magazine subscription and the age of the subscriber.

Answers

the answer is a.cause a function is a mapping from a set of input to the output

How do I solve this?

Answers

Answer:

The answer is D

Step-by-step explanation:

all you have to do is trace the triangle and see/.

The correct answer is D my baby

Mia did a study for a health class about the effects of the length of a person's foot and their shoe size. Based on a graph of her data, she found that there was a relationship between the length of a person's foot and their shoe size. Which of the following is a valid conclusion? A. The length of a person's foot is a cause of their shoe size, which implies that there is also a correlation between the length of a person's foot and their shoe size. B. There is no correlation between a person's shoe size and the length of their foot. C. A person's shoe size is a cause of the length of their foot. D. No conclusion can be drawn about the correlation or causation between a person's shoe size and the length of their foot.

Answers

Answer: The correct answer is A.

Step-by-step explanation: Based on Mia’s data, she found that there was a relationship between the length of a persons foot and their shoe size. The only valid conclusion in the options is choice a. The length of a persons foot is a cause of their shoe size, which implies that there is also a correlation between the length of a person’s foot and their shoe size.

Answer is A! Hope this helped

Valerie's younger sister is 3 ft 2 in. tall. if her sister grows an additional 32 inches how tall will she be ​

Answers

Answer:

6 feet 4 inches

Step-by-step explanation:

Step-by-step explanation:

3 FEET 2 INCHES These are not the same! Do not multiply

Each foot is 12 inches. So 3 times 12 (3 feet) is 36, add the extra 2 inches for 38 inches.

38 plus 32 equals 70 total inches. NOw we put it back into feet.

70 divided by 12 is 5, remainder 10.

So Valerie's sister will be 5 feet 10 inches (G)

Write an expression with 4 terms, containing the coefficients 3, 6, and 9.

Answers

Answer:

3x^2 + 6y - 9x +4

Step-by-step explanation:

find the slope of the line throught each points (-19,1),(-1,-14)​

Answers

Answer:

[tex]\large\boxed{m=-\dfrac{5}{6}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-19, 1) and (-1, -14). Substitute:

[tex]m=\dfrac{-14-1}{-1-(-19)}=\dfrac{-15}{18}=-\dfrac{15}{18}=-\dfrac{5}{6}[/tex]

Complete the square to determine the minimum or maximum value of the function defined by the expression. −x2 + 10x + 5

Answers

[tex] - {x}^{2} + 10x + 5 \\ = - {x}^{2} + 10x - 25 + 5 + 25 \\ = - ( {x}^{2} - 10x + 25) + 30 \\ = \underbrace{ - {(x - 5)}^{2}}_{\leqslant 0} + 30 \\ \Rightarrow - {(x - 5)}^{2} + 30 \leqslant 30 \\ \Rightarrow Maximum \: value \: is \: 30 \: when \: x = 5[/tex]

If g(x) is the inverse of f(x), what is the value of f(g(2))?

Answers

Answer:

2

Step-by-step explanation:

If g(x) is the inverse of f(x)

f(g(x)) =x

This is the property of inverses.

Let x=2

f(g(2))=2

Answer:

C: 2

Step-by-step explanation:

its right on edg 2020

According to the bar graph, what is the unit of measurement for the experiment?
A) cent
B) gain
C) loss
D) toss

Answers

Answer:

Toss

Step-by-step explanation:

I just did the problem.

David’s garden produced six bushels of zucchini, three bushels of beans, seven bushels of corn, and four bushels of beets. In the table below, write the fraction (in simplest form) and the percent of David’s total crop that each vegetable represents.

Answers

Answer:

Step-by-step explanation:

Zucchini    = 'z' = 6

Beans = 'b' = 3

Corn = 'c' = 7

beets = 't' = 4

Total produce = 20 bushels of veggies.

z = 6/20 = 3/10                 % = 3/10*100 = 30%

b = 3/20                            % = 3/20 * 100 = 15%

c = 7/20                             % = 7/20 *100 = 35%

t = 4/20 = 1/5                     % = 1/5 * 100 = 20%

Total                                                          100%

The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term. Which recursive formula represents the situation?

Answers

So

an=an+b

14=4a+b and a=-8

14=-32+b

b= 46

an=-8n+46

Answer with Step-by-step explanation:

[tex]a_{4}=14[/tex]

Each term of the sequence is 8 less than the previous term

⇒ [tex]a_{3}=14+8=22[/tex]

⇒ [tex]a_{2}=22+8=30[/tex]

⇒ [tex]a_{1}=30+8=38[/tex]

In general [tex]a_{n}=a_{n-1}-8,a_{1}=38[/tex]

Hence, recursive formula representing the situation is:

[tex]a_{n}=a_{n-1}-8,a_{1}=38[/tex]

Find the mean absolute deviation. Round to the tenth

Answers

Answer:

1) 1.8 round to tenths

Step-by-step explanation:

To find the mean absolute deviation we follow these steps:

Find the mean value by adding all data values and dividing by number of data valuesFind the absolute value of the difference between each data value and the mean: | data value – mean. | Divide the sum of the absolute values of the differences by the number of data values

1) 4,5,10,8,4,8,7,6

step 1

4+5+10+8+4+8+7+6 / 8 = 6.5

Mean (μ): 6.5

step 2

|4-6.5| + |5-6.5| + |10-6.5| + |8-6.5| + |4-6.5| + |8-6.5| +|7-6.5| + |6-6.5|  = 14

step 3

14 / 8 = 1.75  

Repeat these steps for other parts.

PLEASE I DONT HAVE MUCH TIME.

Frederick headed for Lutzen at 3 kph. Later he increased his speed to 4 kph. If it was 52 kilometers to Lutzen and the total time of travel was 15 hours, how long did he travel at 3 kph?

Answers

Since distance is equal to rate times time:

Let x= the time traveled at 3 km/h

Let y= the time traveled at 4 km/h

We can say that

3x+4y=52

Or that three (kilometers) times the time traveled at 3 kilometers an hour plus 4 (kilometers) times the time traveled at 4 kilometers an hour is equal to 52; the total distance traveled.

Likewise, we can see that:

x+y=15

Because x, the number of hours traveled at 3 km/h added to y, the time traveled at 4 km/h is equal to 15; the total time traveled.

Now, I'll solve by substitution.

x=-y+15

Substitute that into the other equation.

3(-y+15) + 4y = 52

Distribute

-3y + 45 + 4y = 52

Combine like terms

y + 45 = 52

Minus 45 from both sides

y = 7

So Fredrick traveled at 4 km/h for 7 hours.

Now, to find the other value, substitute the value of y into one of the original equations.

x + 7 = 15

Minus 7

x = 8

So

Time traveled at 4 km/h = 7 hours

Time traveled at 3 km/h = 8 hoursSince distance is equal to rate times time:

Let x= the time traveled at 3 km/h

Let y= the time traveled at 4 km/h

We can say that

3x+4y=52

Or that three (kilometers) times the time traveled at 3 kilometers an hour plus 4 (kilometers) times the time traveled at 4 kilometers an hour is equal to 52; the total distance traveled.

Likewise, we can see that:

x+y=15

Because x, the number of hours traveled at 3 km/h added to y, the time traveled at 4 km/h is equal to 15; the total time traveled.

Now, I'll solve by substitution.

x=-y+15

Substitute that into the other equation.

3(-y+15) + 4y = 52

Distribute

-3y + 45 + 4y = 52

Combine like terms

y + 45 = 52

Minus 45 from both sides

y = 7

So Fredrick traveled at 4 km/h for 7 hours.

Now, to find the other value, substitute the value of y into one of the original equations.

x + 7 = 15

Minus 7

x = 8

So

Time traveled at 4 km/h = 7 hours

Time traveled at 3 km/h = 8 hours

! URGENT !
-1 3/5 ÷ (-2/3) = ?

Answers

Convert 1 3/5 to an improper fraction;

-1 × 5 + 3/5 ÷ -2/3

Simplify 1 × 5 to 5

-5 + 3/5 ÷ -2/3

Simplify 5 + 3 to 8

-8/5 ÷ -2/3

Use this rule: a ÷ b/c = a × c/b

-8/5 × 3/-2

Use this rule; a/b × c/d = ac/bd

-8 × 3/5 × - 2

Simplify 8 × 3 to 24

-24/5 × -2

Simplify 5 × -2 to -10

- 24/-10

Move the negative sing to the left

-(-24/10)

Simplify 24/10 to 12/5

-(-12/5)

Simplify brackets

12/5

Convert to a mixed fraction

= 2 2/5

Select all the expressions equivalent to 3.1⁴.

Answers

Answer:

A, B, D

Step-by-step explanation:

[tex]3.1^4=(3.1)(3.1)(3.1)(3.1)\to\boxed{A}\\\\3.1^4=[(3.1)(3.1)](3.1)(3.1)=(9.61)(3.1)(3.1)\to\boxed{B}\\\\3.1^4=[(3.1)(3.1)][(3.1)(3.1)]=(9.61)(9.61)\to\boxed{D}[/tex]

Final answer:

Equivalent expressions to 3.1⁴ involve raising 3.1 to the power of 4. This means 3.1 is multiplied by itself four times, not three times (which would be cubing). The equivalent expression would result from multiplying 3.1 by itself four times.

Explanation:

The equivalent expressions to 3.1⁴ involve the operation of raising a number to a power. In this case following the number 3.1, the exponent of 4 means that 3.1 is being multiplied by itself four times, and it is not the same as cubing. The cubing of exponentials refers to the process of raising a number to the power of three or multiplying the number by itself three times. The commutative, associative, and distributive laws can be applied to simplify and rewrite exponential expressions. Therefore, to find an equivalent expression for 3.1⁴, you would need to multiply 3.1 by itself four times.

Learn more about Cubing of Exponentials here:

https://brainly.com/question/239851

#SPJ3

Triangle ABC ≅ DEF. Each side of triangle ABC is 1.5 times longer than the corresponding sides of triangle DEF. If the perimeter of triangle ABC is 36 centimeters, what is the perimeter of triangle DEF?

Answers

Answer:

Step-by-step explanation:

see attachment

Final answer:

The perimeter of triangle DEF is 24 centimeters.

Explanation:

The perimeter of a triangle is the sum of the lengths of its three sides. In this case, triangle ABC is congruent to triangle DEF, and each side of triangle ABC is 1.5 times longer than the corresponding side of triangle DEF. Let's assume the lengths of the corresponding sides of triangle DEF are x, y, and z. Therefore, the lengths of the corresponding sides of triangle ABC are 1.5x, 1.5y, and 1.5z.

Since the perimeter of triangle ABC is 36 centimeters, we can set up the equation as follows: 1.5x + 1.5y + 1.5z = 36. Simplifying the equation, we get x + y + z = 24. This means the perimeter of triangle DEF is 24 centimeters.

Name each regular polygon. Find the measure the indicated angles

Answers

ANSWER

i. 180°

ii. 60°

iii. 360°

iv. 120°

EXPLANATION

The given regular polygon has 3 sides.

Since all the three sides are equal, it is called an equilateral triangle.

The sum of interior angles of an equilateral triangle is 180°

One interior angle is 60° because all the three angles are equal.

The sum of exterior angles is 360°

One exterior angle is 120° because all the three exterior angles are equal.

The graph below shows interest charges accrued on 4 different credit cards. Based on the graph, which credit card appears to have an introductory APR? A. Card 1
B.Card 2
C. Card 3
D.card 4

Answers

Answer:

The correct option is D.card 4

Step-by-step explanation:

Consider the provided graph.

The introductory APR is a discounted interest rate which credit card companies frequently give new customers after opening an account for a fixed number of months. Most credit cards on payments, balance transfers or both offer discounted APRs.

The graph of card 4 is showing that the interest rate in Jan to Apr was lower, after Apr the interest rate increase with different slope.

Therefore, the correct option is D.card 4

Answer:

Card 4 i think

Step-by-step explanation:

pls help will give brainliest

Answers

the correct answer is the 3rd table.

what is the measure of each angle of a non agon (Regular)​

Answers

[tex]\bf \textit{sum of all interior angles in a regular polygon}\\\\ n\theta =180(n-2)~~ \begin{cases} n=\textit{number of sides}\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ n=9 \end{cases}\implies 9\theta =180(9-2) \\\\\\ 9\theta =1260\implies \theta =\cfrac{1260}{9}\implies \theta =140[/tex]

How do I find the perimeter?

Answers

Answer:

8x³ - 5x² + 8x

Step-by-step explanation:

to solve the perimeter, you need to add all sides of the triangle together.

8x² + x³ + 2x² + 7x³ - 3x² + 6x

now, code all the similar variables:

8x² + + 2x + 7x³ - 3x² + 6x

8x² - 3x² = 5x²

+ 7x³ = 8x³

2x + 6x = 8x

so, put them all together:

5x² + 8x³ + 8x

but remember that the larger exponent comes first(just a rule)

so, it is : 8x³ - 5x² + 8x

plz give me a brainliesttt

Classify the quadrilateral. Then find the value(s) of the variable(s).

Answers

Answer:

Its A

Step-by-step explanation:

solve this equation
5(-7x-3)- 8x=-230​

Answers

Simplifying

5(7x + -3) = 230

Reorder the terms:

5(-3 + 7x) = 230

(-3 * 5 + 7x * 5) = 230

(-15 + 35x) = 230

Solving

-15 + 35x = 230

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 35x = 230 + 15

Combine like terms: -15 + 15 = 0

0 + 35x = 230 + 15

35x = 230 + 15

Combine like terms: 230 + 15 = 245

35x = 245

Divide each side by '35'.

x = 7

Simplifying

x = 7

a refrigerator has a variety of drinks the contents are shown below if one drink is picked randomly then which of the following is not true water 14 cola 28 lemonade 7​

Answers

Answer:

Where is the answer choices?

Step-by-step explanation:

PLEASE PLEASE HELP WILL GIVE POINTS AND MARK BRAINLIEST

Answers

Answer:

.167 is irrational.

2/9 is rational.

pi is irrational.

sqrt225 is rational.

Step-by-step explanation:

Why .167 is irrational because it is a decimal.

2/9 is rational because it is a fraction.

pi is irrational because it is a repeating decimal that goes on forever.

Why the sqrt225 is ration is because it comes out as a whole number 15 so it is rational.

Answer:

Step-by-step explanation:

i think the first one is ratinol the second one is ratinol the trid one is irratinol and the last one is irratinol hope i get brainlist witch will never happen any way hope this helps

what are complex numbers?

Answers

Answer:

Pie is a complex number?

Step-by-step explanation:

3.14159265358979323846264338327950288419716939937510582097494459230781640628..............................

Answer:

2 + 3i is a complex number

Step-by-step explanation:

a complex number is a number of the form a + bi, where a and b are real numbers and i is an indeterminate satisfying i2 = −1. For example, 2 + 3i is a complex number.

#3. Find the area of the triangle. Round to 2 decimal places. Thanks.

Answers

Multiply 6*2 and get 12. Now divide by 2 and get 6. I think it’s c

Answer:

C

Step-by-step explanation:

The area (A) of the triangle is calculated using

A = [tex]\frac{1}{2}[/tex] ab sinC

where a, b are the 2 sides and C is the angle between them

here a = 6, b = 2 and C = 80°, hence

A = 0.5 × 6 × 2 × sin80° = 5.91 cm² → C

Two lines intersecting at a right angle ?

Answers

Answer:

are perpendicular

Yes, it is perpendicular

Parallel is when you have two lines that do not intersect

A ray is a line that has one definite starting point and no obvious end point. (Stars with a point and "ends" with an arrow, meaning that it goes on "forever")

A line is just one specific line

When you have perpendicular, that is when two lines cross each other forming a right angle as you may now know

Hope this helps :)

Plz help got it wrong show work plz

Answers

Answer: C) $1951.53

Step-by-step explanation:

[tex]A=P(1+r)^{t}[/tex]

A is amount accrued (final balance)P is the Principal (original amount deposited)r is the rate (in decimal form)t is the number of years

A=1500(1+0.068)⁴

  = 1500(1.068)⁴

  = 1951.53

Please help me with these questions​

Answers

Answer: 4x-5

Step-by-step explanation: g(f(x))

g(4x-3)

4x-3-2

4x-5

Answer:Hmmmmmmm

Step-by-step explanation:

i really hope i can help

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