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.
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
Answer:
unlikely
Step-by-step explanation:
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?
Answer:
total number of hamburger =312
total number of cheeseburger=2x312
=624
Step-by-step explanation:
the answer is 624
Simplify:
6(2x2 – 5) = [?]
X=-3
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
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.
Answer:
Step-by-step explanation:
150 - 15w
where w is the number of weeks he payed his mother the $15
help me with this math question please I'm giving away brainliests
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]
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)
Answer:
1. 2000 = 2(2W + W)
Step-by-step explanation:
perimeter = 2(L + W)
L = 2W, so:
perimeter = 2(2W + W)
Answer plzz
2. What fraction of the students spent 7 hours doing homework that
week ? Express in simplest form.*
Hours Spent Doing Homework
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?
Answer:
Reema bought 24 pencils in august.
Step-by-step explanation:
Ill give you the BRAINLIEST
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! :-)
for brainiest:):):):):):):):)
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 ;(
Applying fertilizer increases yield by 3 bushels an acre for corn. If you have 2304 acres, how much will your yield increase?
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
Determine the intercepts of the line
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)
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.
Answer:
Choice C
Step-by-step explanation:
3.60 - (3.60/2.70) = 25%
find the equation of the line that passes through the points (-2,3) and (-1,7)
Answer: y=4x+11
y=mx+b
for the line that passes through the points
Find the slope of the line through the given points.* (-13, 10), (10, -13)
===========================================
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
I need help with this problem
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.
Please answer number 26 and show your work.
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!
Karen's garden measures 4.8 feet wide and 19.32 feet long. What is the area of her garden in square feet?
Answer:
92.736
Step-by-step explanation:
A = L* W
A = 4.8 * 19.32
A = 92.736
how do i find the missing length of a rectangel
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......
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.
Please help anybody I need to fast please
Name a positive angle between 0 radians and 2π radians that is coterminal with an angle in standard position whose measure is −3π2 radians.
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].
PLEASE HELP!!
30 points
Write the equation of a line in slope intercept form passing through the points (-5.-11) and (-2, 1)
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
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
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
Hi how to do quetion3?
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Which expression is equivalent to5(h+9)
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)
SOMEONE HELPPPPP PLEASEEEE
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
Can someone help me on this question quick please
Answer:
its the one thats right
Step-by-step explanation:
what must be added to 5x²-3x+8to give 7x²-3x+10
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]
20 and 1/2 x 10 1/4 x 12
Answer:
2521.5
Step-by-step explanation:
20.5 · 10.25 · 12
2521.5