Los boletos para la obra de teatro "Los Miserables" cuestan 15 dólares para adultos y 5 dólares para estudiantes. Si se vendieron 227 boletos y los ingresos fueron de 2,375 dólares. ¿Cuántos boletos de cada clase se vendieron?

Answers

Answer 1

Answer:

Se vendieron 124 boletos para adultos y 103 boletos para estudiantes.

Step-by-step explanation:

Un sistema de ecuaciones es un conjunto de ecuaciones con las mismas incógnitas. Un  sistema de ecuaciones lineales es un sistema de ecuaciones en el que cada ecuación es lineal.

En otras palabras, un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones significa encontrar valores para las incógnitas que hace  verdadera cada una de las ecuaciones.

En este caso, las variables son:

x: cantidad de boletos para adultos.y: cantidad de boletos para estudiantes.

Los boletos para la obra de teatro "Los Miserables" cuestan 15 dólares para adultos y 5 dólares para estudiantes. Si se vendieron 227 boletos y los ingresos fueron de 2,375 dólares, se puede expresar el siguiente sistema de ecuaciones:

[tex]\left \{ {{x+y=227} \atop {15*x+5*y=2375}} \right.[/tex]

Se elige resolver por el método de sustitución, cuyo primer paso consiste escoger una ecuación y despejar una incógnita en  términos de la otra incógnita. En este caso, se despeja la variable "y" de la primer ecuación, obteniendo:

y=227 - x

A continuación se sustituye la expresión hallada en la otra ecuación, para  obtener una ecuación con una incógnita y, luego despejar esa incógnita. En este caso, reemplazando la anterior expresión en la segunda ecuación del sistema de ecuaciones:

15*x + 5*(227 -x)= 2375

Resolviendo:

15*x + 5*227 - 5*x= 2375

15*x + 1135 - 5*x= 2375

15*x - 5*x= 2375 - 1135

10*x= 1240

x= 1240 ÷10

x= 124

Finalmente se sustituye el valor hallado en la expresión y=227 - x para despejar la incógnita restante:

y=227 - 124

y= 103

Entonces se vendieron 124 boletos para adultos y 103 boletos para estudiantes.


Related Questions

Which expression is equivalent to5(h+9)

Answers

Answer:

The answer would be 5h+45

Step-by-step explanation

5 (h+9)

You need to convert this equation into the equation

you multiply 5 by h and get 5h

Then multiply the same number outside the parenthesis, 5, by 9 which will give you the answer 45

Once you have 5h and 45 just put it together with the addition symbol which will will equal:

5 (h+9) = 5h + 45

Your Welcome! (hopefully this answers your question)

PLEASE HELP!!

30 points
Write the equation of a line in slope intercept form passing through the points (-5.-11) and (-2, 1)

Answers

Answer:

y=4x+9

Step-by-step explanation:

Answer:

https://socratic.org/questions/how-do-you-write-the-equation-in-slope-intercept-form-passing-through-7-11-5-1#579410

Step-by-step explanation:

theres the link to the answer

Determine the intercepts of the line

Answers

Answer:

If we look at the graph, we can see that the x-intercept is located at (4, 0) and the y-intercept is located at (0, 2.5)

y -intercept of a graph is the point where the graph crosses the y -axis.

x -intercept of a graph is the point where the graph crosses the x -axis.

y -intercept ( 0 ; 2.5 )

x -intercept ( 3.5 ; 0 )

A certain computer loses half of itş value every two years.
If the value of the computer after 3 years is $425, what was the initial
value of the computer?
A. $601.04
B. $850.00
C. $1,202.08
D. $2,404.16

Answers

It would be D hoped this helps

The initial value of the computer is 1,700.

What is the meaning of initial value?

The initial value is the beginning output value.

We have given that the computer losses half of its value, and  If the value of the computer after 3 years is 425,

we have to calculate, what was the initial value of the computer,

Suppose that the initial value of computer is x

So after two years it will be,

for  the second year, it is X/2

for the third year, it is X/2

In the fourth year, it is X/4

we have given that after 3 years, the value of the computer is 425 Therefore we can write it as,

X/4=425

X=4(425)

X=1700

Therefore, the initial value of the computer is 1,700  

To learn more about the initial value visit:

brainly.com/question/3236810  

#SPJ2

Please help anybody I need to fast please

Answers

answer:
D. t = -1

step-by-step explanation:
that side should be 180 degrees and the whole is 360 but we are only measuring half
so (20t + 5) = 15t
-20t -20t
5 = -5t
/-5 /-5
-1 = t

The length of a rectangular table is two times its width. If the perimeter of
the table is 2,000 ft, set up an equation to find the width (w) of the table.

1. 2000 = 2(2W + W)
2. 1000 = 2(3W+ W)
3. 2000 = 2(2wx W)
4. 2000 = 2(3wx w)

Answers

Answer:

1. 2000 = 2(2W + W)

Step-by-step explanation:

perimeter = 2(L + W)

L = 2W, so:

perimeter = 2(2W + W)

SOMEONE HELPPPPP PLEASEEEE

Answers

Answer:

Sin(L) = [tex]\frac{5}{14}[/tex]

Step-by-step explanation:

Sin = [tex]\frac{opposite}{hypotenuse}[/tex] (regarding the angle given)

Sin(L) = [tex]\frac{5}{14}[/tex]

Hope this helps!

Answer:

5/7

Step-by-step explanation:

sin=opposite side/hypotenuse

=10/14(simplify it)

=5/7

Ill give you the BRAINLIEST

Answers

Answer:

m = 8h

Step-by-step explanation:

The money she earns in one hour is $8.

8 dollars x hours worked = her total money for a day.

Hope this helps! :-)

Which name could be used to describe This group of solid shapes. A.Shapes with. Atleast 1 Circular face. B.Shapes with At least 1 vertex C.Cones. D.Cylinders......

Answers

Answer:

The answer is "Option A".

Step-by-step explanation:

Please find the complete question in the attached file.

In the given question, the cone and cylinder shapes both have one circular face at least a cone has one, and the cylinder has two common points.

Answer plzz
2. What fraction of the students spent 7 hours doing homework that
week ? Express in simplest form.*
Hours Spent Doing Homework

Answers

There is 20 total and 6 that did 7 hours so 6/20 or in simplest form 3/10

what must be added to 5x²-3x+8to give 7x²-3x+10​

Answers

Answer:

[tex]2x^{2} - 6x + 18[/tex]

Step-by-step explanation:

[tex]7x^{2} -3x+10[/tex] - [tex]5x^{2} -3x+8[/tex] = [tex]2x^{2} - 6x + 18[/tex]

Reema bought pencils for school in August, she gave them to her friends. She used
of what she had in the first month of cheat She
now had 3 pencils left
How many pencils did she buy in August?

Answers

Answer:

Reema bought 24 pencils in august.

Step-by-step explanation:

Please answer number 26 and show your work.​

Answers

Answer:

x = 13.3125

Step-by-step explanation:

Since it is a square, divide the area (225) by 4: 56.25

Now solve for x

56.25 - 3 = 53.25

53.25 / 4 = 13.3125

Please check if this is the method you need, and if I solved for the right thing!

On Friday, a local hamburger shop sold a combined total 312 of hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Friday?

Answers

Answer:

total number of hamburger =312

total number of cheeseburger=2x312

=624

Step-by-step explanation:

the answer is 624

Chad owes his mother $150. He plans to pay back $15 per week. Write an algebraic expression to show how much Chad still owes his mother based on the number of weeks.

Answers

Answer:

Step-by-step explanation:

150 - 15w

where w is the number of weeks he payed his mother the $15

find the equation of the line that passes through the points (-2,3) and (-1,7)

Answers

Answer: y=4x+11

y=mx+b

for the line that passes through the points

Simplify:
6(2x2 – 5) = [?]
X=-3

Answers

Answer:

78

Step-by-step explanation:

Substitute x = - 3 into the expression

6(2(- 3)² - 5)

= 6(2(9) - 5)

= 6(18 - 5)

= 6(13)

= 78

Find the slope of the line through the given points.* (-13, 10), (10, -13)

Answers

Answer:  Slope = -1

===========================================

Work Shown:

Let's apply the slope formula to get...

m = (y2 - y1)/(x2 - x1)

m = (-13 - 10)/(10 - (-13))

m = (-13 - 10)/(10 + 13)

m = -23/23

m = -1

The slope is -1

-----------

Extra info:

The slope is the rate of change. Specifically it's the change in y over the change in x. So that's why we divide the (y2-y1) over the (x2-x1). The (y2-y1) is the change in y; the (x2-x1) is the change in x.

You can think of it as

slope = rise/run

rise = y2-y1 = change in y

run = x2-x1 = change in x

Name a positive angle between 0 radians and 2π radians that is coterminal with an angle in standard position whose measure is −3π2 radians.

Answers

Answer:

The positive angle between [tex]0[/tex] and [tex]2\pi[/tex] radians that is coterminal with [tex]\theta = -\frac{3\pi}{2}\,rad[/tex] is [tex]\theta = \frac{\pi}{2}\,rad[/tex].

Step-by-step explanation:

GIven that the measure of the known angle is [tex]-\frac{3\pi}{2}[/tex] radians and that such angle belongs to a set of angles in terms of revolutions (with a period of [tex]2\pi[/tex]) done either clockwise or counterclockwise, we can represent the family of coterminal angles with the following expression:

[tex]\theta = -\frac{3\pi}{2}\pm (2\pi\cdot i)[/tex], for [tex]i \in \mathbb{N}_{O}[/tex] (1)

Where [tex]i[/tex] is the index of the coterminal angle.

According to the statement, we must name a positive angle between [tex]0[/tex] and [tex]2\pi[/tex] radians, which can be found by the sign [tex]+[/tex] and [tex]i = 1[/tex]. Hence, we find the required angle:

[tex]\theta = -\frac{3\pi}{2} + 2\pi[/tex]

[tex]\theta = \frac{\pi}{2}\,rad[/tex]

The positive angle between [tex]0[/tex] and [tex]2\pi[/tex] radians that is coterminal with [tex]\theta = -\frac{3\pi}{2}\,rad[/tex] is [tex]\theta = \frac{\pi}{2}\,rad[/tex].

for brainiest:):):):):):):):)

Answers

Answer:

the answer is 115

Step-by-step explanation:

sorry i only know 1 way and would tell u but I dont know the word for it but it is something to angle 115 degrees ;(

how do i find the missing length of a rectangel

Answers

It is pretty easy to find on the internet it should pop up as the first one.
Take the measurements of the length you know, multiply it by two, take the perimeter minus the length that was multiplied by two, take that number and divide it by two, and you get your answer.


Here’s an example that might help you-

Hi how to do quetion3?​

Answers

i cant really read it that well D:

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

1.) The price of gasoline went from $3.60 to $2.70 per gallon. What was the percentage decrease in the price of gasoline per gallon?

A.) 20% decrease

B.) 22.5% decrease

C.) 25% decrease

D.) 33.33% decrease

E.) None of these choices are correct.

Answers

Answer:

Choice C

Step-by-step explanation:

3.60 - (3.60/2.70) = 25%

I need help with this problem

Answers

Answer:

what she sells each t-shirt for.

Step-by-step explanation:

if f(x) is the profit and x=# of t-shirts,

the rate of change is 8, which is what she sells each t-shirt for.

The 100 that is subtracted, is the money that she spent on materials.

For eg, if she sells 8 t-shirts she makes $64, but she spent $100 before and didn't gain any profit, having not made up $36 from what her original spending was.

Karen's garden measures 4.8 feet wide and 19.32 feet long. What is the area of her garden in square feet?​

Answers

Answer:

92.736

Step-by-step explanation:

A = L* W

A = 4.8 * 19.32

A = 92.736

Mikey has a bag that contains 8 green jelly beans, 7 red jelly beans and 2 yellow jelly beans. Which best describes the likelihood that Mikey will reach in without looking and select a yellow jelly bean?

A. Likely
B. Impossible
C. Certain
D. Unlikely

Answers

Answer:

unlikely

Step-by-step explanation:

20 and 1/2 x 10 1/4 x 12

Answers

Answer:

2521.5

Step-by-step explanation:

20.5 · 10.25 · 12

2521.5

Applying fertilizer increases yield by 3 bushels an acre for corn. If you have 2304 acres, how much will your yield increase?

Answers

Answer:

6912 bushels

Step-by-step explanation:

The increase is 3 bushels per acre.

For 2304 acres, the increase is

2304 acres * 3 bushels/acre = 6912 bushels

Can someone help me on this question quick please

Answers

Answer:

its the one thats right

Step-by-step explanation:

It’s Mai …………………………..

help me with this math question please I'm giving away brainliests ​

Answers

Answer:

Step-by-step explanation:

Given function is,

[tex]f(x)=\frac{2x^2+6x}{-4x^2+8x}[/tex]

       [tex]=\frac{2x(x+3)}{-4x(x-2)}[/tex]

This function is not defined at "x(x - 2) = 0"

Therefore, for the values of x = 0 and 2, given function is not defined.

Vertical asymptote → x = 2 [Denominator = 0]

For Horizontal asymptote → [tex][\frac{2x^2}{-4x^2} =-\frac{1}{2}][/tex]

Therefore, horizontal asymptote → y = [tex]-\frac{1}{2}[/tex]

x-intercept,

For f(x) = 0,

Numerator of the function = 0

2x² + 6x = 0

2x(x + 3) = 0

x = -3

Therefore, x - intercept → (-3, 0)

For y-intercept,

x = 0

f(0) = 0

Therefore, graph has no y-intercept.

For holes on the graph,

Since, function is not defined at x = 0,

f(x) = [tex]\frac{(x+3)}{-2(x-2)}[/tex]

f(0) = [tex]\frac{(0+3)}{-2(0-2)}[/tex]

     = [tex]\frac{3}{4}[/tex]

Therefore, hole on the graph → [tex](0, \frac{3}{4})[/tex]

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