Two families went to the event. The first family bought two children's tickets and one adult ticket and paid a total of 8.2 euros. The other family bought three children's tickets and two adult tickets and paid a total of 14.1 euros. Can you tell me how much one child costs and how much one adult ticket costs?

Answers

Answer 1

Answer:

Step-by-step explanation:

step a system of two equations         c = child ticket     a = adult ticket

eq 1)  2c + 1a = 8.2            multiply by 2

eq 2) 3c + 2a = 14.1

I will multiply eq 1 times TWO and subtract eq 2 from eq 1a)

         eq 1a)  4c + 2a = 16.4

          eq 2)  3c + 2a = 14.1

subtract  (4c - 3c) + (2a -2a)  = 16.4 - 14.1  

                    c      +       0       =   2.3 euros     for one child ticket

Now find the adult ticket price,  plug 2.3 for c into eq 1)

     eq 1)  2c + 1a = 8.2

     eq 1)  2(2.3) + 1a = 8.2         solve for a

                 4.6  + a   =  8.2         substract 4.6 from both sides

                             a =  8.2 - 4.6

                               =   3.6 euros    for one adult ticket

double check using eq 2)    we know c and a values

    eq 2)  3c + 2a = 14.1

    eq 2)  3(2.3) + 2(3.6) = 14.1

                   6.9 + 7.2    =  14.1

                          14.1    =  14.1


Related Questions

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Answer:

23°

Step-by-step explanation:

straight line=180

82+24+51=157

180-157

the expression x10-100 is equivalent to what

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Answer:

90

Step-by-step explanation:

whats infinity times infinity?

Answers

Answer:

infinity

Step-by-step explanation:

Infinity times Infinity = Infinity

The answer to this question is:

Infinity

Basically, numbers cant get any higher than infinity. This would be the best option.

1. En la granja del tío de Carlos se han acomodado 525 huevos en cartones pequeños y grandes a razón de 3 2 . Si en los cartones pequeños se acomodaron 15 huevos y en los grandes 30, ¿cuántos cartones pequeños y cuántos grandes se utilizaron? donde dice 3 tendria que ir como una fraccion 3 y abajo del 3 el 2

Answers

Answer:

Small cartons used , x = 15

Large cartons used , y = 10

Step-by-step explanation:

Given - 1. On Carlos's uncle's farm, 525 eggs have been accommodated in small and large cartons at a rate of 3/2

            2. If 15 eggs were accommodated in the small cartons and 30 in the large cartons.

To find - How many small cartons and how many large cartons were used?

Solution -

Let

Small cartons used = x

Large cartons used = y

Now,

Given that,

Small and large cartons at a rate of 3/2

⇒[tex]\frac{x}{y} = \frac{3}{2}[/tex]

⇒x = [tex]\frac{3}{2} y[/tex]                      ............(1)

Now,

Given that,

Total eggs accommodated = 525

Also,

15 eggs were accommodated in the small cartons and 30 in the large cartons.

⇒15 x + 30 y = 525

Now,

put the value of x in the above equation, we get

15([tex]\frac{3}{2} y[/tex] ) + 30 y = 525

⇒[tex]\frac{45 + 60}{2} y = 525[/tex]

⇒[tex]\frac{105}{2} y = 525[/tex]

⇒y = [tex]525*\frac{2}{105}[/tex]

⇒y = 5(2) = 10

⇒y = 10

Now,

Put the value of y, we get

x =  [tex]\frac{3}{2} y[/tex]  = [tex]\frac{3}{2}(10)[/tex] = 3(5) = 15

∴ we get

x = 15

y = 10

So,

Small cartons used , x = 15

Large cartons used , y = 10

Find the measure of each numbered angle.​

Answers

Answer:

Step-by-step explanation:

(2)= 90-53 = 37

(1) = 180-74-37 = 69

(4) = 180-69-90 = 21

(3) = 180-53-21 = 106

Identify the characteristics of the graph of the quadratic function shown.

Answers

Answer:

(0,0)

(-3,0)

when x<4 the given curve is decreasing

domain(0,0) the range is (-3,0)

Step-by-step explanation:

give me the brinalst plzz i slove ur answer

The domain and range of function is (0,8).

What is the domain and range of the function?

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

Given;

The graph

Now

The domain is on x axis (0,8)

The range is on y axis (-3,9)

When x<4, both are positive.

Therefore, the domain answer will be (0,8).

Learn more about the domain and range of the function:

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pls can u help me answer this❔​

Answers

1.4/5
2.5/6
3.4 7/9
4.1/2
5. 5/12
6. 3 1/7
7. 12/35
8.21/25
9. 1/2
10. 2/15

A line that includes the point (-10,-5) has a slope of -8. What is its equation in point-slope form?

Answers

Answer:

Step-by-step explanation:

y + 5 = -8(x + 10)

y + 5 = -8x - 80

y = -8x - 85

Answer:

[tex]y + 5 = -8 (x+10)[/tex]    

Step-by-step explanation:

The point-slope form of an equation is represented by the formula [tex]y-y_1 = m (x-x_1)[/tex]. Substitute values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula to write the equation of the line in point-slope form.  

[tex]m[/tex] represents the slope, so substitute -8 in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. Thus, use the x and y values of the point (-10, -5) for the formula. Substitute -10 for [tex]x_1[/tex] and -5 for [tex]y_1[/tex]. This gives the following equation and answer:

[tex]y-(-5) = -8(x-(-10)\\y + 5 = -8 (x+10)[/tex]

What are all of the parallelogram theorems

Answers

AB, BC, CD, DA this tells you the parallelogram theorems

1. How much profit will the company make under each of the following scenarios? (1) sell
10 pairs of jeans at full price for $100; (2) sell 15 pairs of jeans at a discount for $80; or (3) sell
25 pairs of jeans at full price for $100 by spending $500 on promoting the brand. Which
scenario would be most profitable?
(SHOW WORK)

Answers

Answer:

1st scenario comes up to 1000 dollars.

2nd scenario 1200 dollars

3rd is 2000 dollars.

This makes the third scenario most profitable.

Step-by-step explanation:

Please help ASAP. And can you please explain how you got the answers. Will give 100 points.

Answers

Answer:

1: 6x^2+7x+8

trinomial

2:sry but i cant remember how to do these

3:

-tri

-bi

4:

3x^5-11x^4-4x^3+3x^2+x

Step-by-step explanation:

I WILL GIVE BRAINLY
[tex]x^{2} +9y^{2} =1[/tex] is an ellipse. The line y=mx+2 is tangent to the ellipse. Determine the value of ([tex]m^{2}[/tex]). Express your answer as an integer or as a common or improper fraction.

Answers

9514 1404 393

Answer:

  m^2 = 35/9

Step-by-step explanation:

The line will be tangent to the ellipse where there is one point of intersection between the line and the ellipse. We can find that case by looking at the discriminant of the quadratic.

  x^2 +9(mx +2)^2 = 1

  x^2 +9(m^2x^2 +4mx +4) = 1

  (9m^2 +1)x^2+36mx +35 = 0 . . . . subtract 1, collect terms

__

Then the discriminant is ...

  (36m)^2 -4(9m^2 +1)(35)

We want it to be zero, so we have ...

  1296m^2 -1260m^2 -140 = 0 . . . . eliminate parentheses

  36m^2 = 140 . . . . . . . . . . . . . . . add 140

  m^2 = 140/36 . . . . . . . . . . . . divide by 36

  m^2 = 35/9

AABC is reflected over the yaxis.

What are the vertices of AA'B'C'?

Answers

Answer:

A'=(-1, 5)  B'=(-2, 3)  C'=(-5, 4)

Step-by-step explanation:

Reflecting over the y-axis changes the only the first point changes into a negative, while the second stays the same.

Of the 140 pages in a book, 80% of them have illustrations. How many pages have illustrations?

Answers

Answer: 140 x

25%=35 or 140/4 = 35

Step-by-step explanation:

Answer:

112 pages have illustrations.

Step-by-step explanation:

Please answer the following:

Answers

Answer:

[tex]( \frac{7}{10} - \frac{5}{8} )[/tex] ÷ [tex]\frac{1}{16}[/tex]

(check your other question for my explanation)

use the geometric mean theorems to find AC and BD. BA=20 BC=15

Answers

Step-by-step explanation:

first, you use the pythagorean theorem to find the missing side of the original and big triangle.

[tex]20 {}^{2} + 15 {}^{2} [/tex]

next, you simplify these into actual numbers

[tex]400 + 225[/tex]

after, you add these numbers together and find the square root.

[tex]\sqrt{625} = 25[/tex]

you have the answer for AC. next you need to find BD. of you line up BC with BD, BC would be longer, , so you know its shorter, but not by much, so I'd assume to guess like 13 for BD- that's just me- but I'm not sure how to exactly find it.

The requried Measure of the BD and AC in the given question is 17.32 and 25 respectively.

What is the geometric mean theorem?

The geometric mean theorem for a right triangle states that the length of the altitude (height) to the hypotenuse of a right triangle is the geometric mean of the lengths of the two segments of the hypotenuse.

Here,
From the triangle, following the Geometric mean theorem,

BD = √[AB×BC]
BD = √[20×15]
BD = √17.32

Now,
Applying the Pythagorean theorem to find AC,
AC = √15² + 20²
AC = 25

Thus, the requried Measure of the BD AC in the given question is 17.32 and 25 respectively.

Learn more about the geometric mean theorem here:

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A consumer magazine rates televisions by identifying three levels of​ price, three levels of repair​ frequency, four levels of​ features, and three
levels of picture quality. How many different ratings are​ possible?

Answers

Answer:

10

Step-by-step explanation:

Keith is awarded a penalty shot. He will either score a goal or not score a goal. Are both outcomes equally likely? Explain.

Answers

Answer:

yes 50/50

Step-by-step explanation:

Not knowing any backround info

you odds are 50/50

6a+4b−66, a, plus, 4, b, minus, 6 when a=1a=1a, equals, 1 and b=3b=3b, equals, 3.

Answers

Answer:

The answer is 12.

Step-by-step explanation:

We need to find the value of the given expression 6a+4b−6 when a = 1 and b = 3

Put a = 1 and b = 3 in the above expression.

6a+4b−6 = 6(1) +4(3) -6

= 6+12-6

= 12

So, the value of the given expression is equal to 12.

A 44-inch pendulum swings at an angle of 14°. Find the length of the arc to the nearest hundredth of an inch through which the tip of the pendulum swings.

Answers

Answer:

10.75 inches

Step-by-step explanation:

A 44-inch pendulum swings at an angle of 14°. Find the length of the arc to the nearest hundredth of an inch through which the tip of the pendulum swings.

The formula of the length of the arc subtended by pendulum is given as = (x/360)*2πr or (x/180)*πr

Where:-

x = angle subtended by pendulum which is = 14°

r = Length of the pendulum = 44 inch

Lenghth of arc = ?

By putting values

Length of the arc = (14/180 × π × 44

= 10.751228192 inches

Approximately = 10.75 Inches

Hi! I was putting up a test on other people with this question and i wanted to see if anyone solves this correctly? PLEASE ANSWER ASAP

Answers

Answer:

Assuming the shape is a half-circle, there's two right angles.

Step-by-step explanation:

The angle between the straight segment and the half-circle can be measured by taking a tangent line at the intersection point and it will of course be perpendicular to the straight segment, assuming the segment is the diameter of the circle).

What is the median of the data set? 15, 19, 20, 22, 26, 30, 31
O A. 15
O B. 31
O c. 22
O D. 7.​

Answers

Answer:

C. 22

Step-by-step explanation:

The median is the middle number of the set if the numbers are in order from least to greatest.

This set of numbers is in order, so the median is the middle number = 22

Enter the correct answer in the box.
Simplify the expression (62)4

Answers

6 times 6 is 36, 36 times 4 is 144. So 144 would be the final simplified expression.

Answer:

1,679,616

Step-by-step explanation:

which point is located on the x-axis?

Answers

Answer:

any point that x is 0

Step-by-step explanation:

1) What is the difference? Complete the equation.
-2 – 8= ?

Answers

Answer:

-2 -8 is -10 because we’re subtracting 8 out of -2

brainliest please

Answer:

-10

Step-by-step explanation:

-2 - 8 = -10

When you subtract a negative, the minus sign becomes a plus sign and the negative number becomes positive.

Hope this helps!

g(t) = t^2 - 5 f(t) = -31 - 4 Find g((-4t)​

Answers

g(-4)= (-4)^2 -5 = 11

I plugged in -4 for t and found the answer.

Good luck!

what is the value of X?

R=120 degrees

T=130 degrees

X=blank degrees

Answers

X =blank degrees is the answer

1. Which of these rectangles have the same area as Rectangle R but different perimeter?

Answers

There’s no picture dndnenene

We need to like see the rectangles so we can answer it

find the solution to this inequality ppllleeeaaaasssseeeee
18<-3(4x-2)

Answers

Answer

x [tex]\leq[/tex] -1

Step-by-step explanation:

Answer:

x < - 1

Step-by-step explanation:

Given

18 < - 3(4x - 2)

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

- 6 > 4x - 2 ( add 2 to both sides )

- 4 > 4x ( divide both sides by 4 )

- 1 > x , then

x < - 1

Calculate the perimeter of this shape.
10 cm
19 cm

Answers

It would be 10+10+19+19 and the answer will be the perimeter with cm!
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