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Keith_Richards [23]
3 years ago
11

Four movie tickets in Germany plus 3 movie tickets in France cost &62.27 three tickets in Germany plus 4 tickets in France c

ost $62.19 how much does an average movie ticket cost in each of these countries
Mathematics
1 answer:
vfiekz [6]3 years ago
7 0

Answer:tickets in Germany cost $8.93

tickets in France cost $8.85

Step-by-step explanation:

Let x represent the cost of a movie ticket in Germany.

Let y represent the cost of a movie ticket in France.

Four movie tickets in Germany plus 3 movie tickets in France cost &62.27. This means that

4x + 3y = 62.27 - - - - - - - - 1

three tickets in Germany plus 4 tickets in France cost $62.19

This means that

3x + 4y = 62.19 - - - - - - - - -2

Multiplying equation 1 by 3 and equation 2 by 4. It becomes

12x + 9y = 186.81

12x + 16y = 248.76

Subtracting,

- 7y = - 61.95

y = - 61.95/7

y = 8.85

Substituting y = 8.85 into equation 1, it becomes

4x + 3×8.85 = 62.27

4x + 26.55 = 62.27

4x = 62.27 - 26.55

4x = 35.72

x = 35.72/4 = 8.93

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The time it takes an excursion boat to travel 36 miles downstream is the same as the time it takes the boat to travel 12 miles u
adoni [48]

Hello there,

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3 years ago
On a coordinate plane, what is the distance between the points (-1,5) and (2,5)? Enter the answer in the box.
zlopas [31]

Answer:

The distance between (-1,5) and (2,5) is √9 or 3.

Step-by-step explanation:

Okay first, just for explaining purposes, let's call the ordered pair (-1,5) letter A and ordered pair (2,5) letter B.

Now to the answer. To start you use the distance formula. which is:

d=√( (x2-x1)²+(y2-y1)²)

Then you solve by plugging the ordered pairs into the formula where -1 from point A is X1 and 5 from point A is Y1. 2 from point B is X2 and 5 from point B is Y2.

When you solve it should look like this:

1. d=√( (x2-x1)²+(y2-y1)²)

2. d=√( (2- -1)²+(5-5)²) *2 minus a negative one means plus so we get 3*

3.  d=√( (3)²+(0)²)

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7 0
3 years ago
Sam owns a chain of fast food restaurants that operated 200 stores in 1999. If the rate of increase is 8% annually, how many sto
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Answer:

370 stores

Step-by-step explanation:

Given data

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Let us apply the compound interest expression to find the final amount of stores

A= P(1+r)^t

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Hence the number of stores in 2007 is 370 stores

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What is the quadratic. Formula?
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Answer:

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Step-by-step explanation:

For example, we'll use this quadratic equation.

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To understand how to plug it into the formula we need to know what each term represents.

a {x}^{2}  + bx + c

So the equation above would be put into the formula like this.

x =  \frac{ - 5± \sqrt{ {5}^{2}  -  4(1)(6) } }{2(1)}

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Now, the equation will branch off into one that solves when addition and one when subtraction.

\frac{ - 5 + 1}{2}  =  \frac{ - 4}{2}  =  - 2 \\  \\   \frac{ - 5 - 1}{2}  =  \frac{ - 6}{2}  =  - 3

So x={-3, -2} (-3 and -2)

6 0
3 years ago
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