Answer:
El costo de una botella de agua es de $10
El costo de una bolsa de palomitas de maíz es de $15.
Step-by-step explanation:
Los parámetros dados son;
El costo de dos botellas de agua y 3 bolsas de palomitas de maíz = $65
El costo de 4 botellas de agua y 1 bolsa de palomitas de maíz = $55
Donde x = El costo de una botella de agua ey = El costo de una bolsa de palomitas de maíz, tenemos;
2 × x + 3 × y = 65 ... (1)
4 × x + y = 55 ... (2)
Haciendo y el tema de ambas ecuaciones, tenemos;
Para la ecuación (1), tenemos;
2 · x + 3 · y = 65
3 · y = 65 - 2 · x
y = 65/3 - 2/3 · x
Para la ecuación (2), tenemos;
4 · x + y = 55
y = 55 - 4 · x
Igualando ambos valores de y para encontrar la solución común, tenemos;
65/3 - 2/3 · x = 55 - 4 · x
4 · x - 2/3 · x = 55 - 65/3
10 · x / 3 = 100/3
∴ 10 · x = 100
x = 100/10 = 10
x = 10
El costo de una botella de agua = x = $10
y = 55 - 4 · x = 55 - 4 × 10 = 55 - 40 = 15
y = 15
El costo de una bolsa de palomitas de maíz = y = $15
Teniendo en cuenta la definición de sistema de ecuaciones lineales, el costo de una botella de agua es $10, mientras que el costo de una bolsa de palomitas es $15.
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 consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema. Es decir, se debe buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en ambas ecuaciones.
En este caso, se debe plantear un sistema de ecuaciones lineales teniendo en cuenta que:
x= el costo de una botella de agua.y= el costo de una bolsa de palomitas.Por un lado, se sabe que el costo de 2 botellas de agua y 3 bolsas de palomitas es de $65. Esto se expresa mediante: 2x + 3y= 65
Por otro lado, se sabe que el costo de 4 botellas de agua y 1 bolsa de palomitas es de $55, expresado mediante 4x + y= 55
Entonces, el sistema de ecuaciones a resolver es:
[tex]\left \{ {{2x+3y=65} \atop {4x+y=55}} \right.[/tex]
Existiendo diversos métodos para resolver un sistema de ecuaciones, se decide resolver mediante el método de sustitución , que consiste en despejar una de las dos variables en una de las ecuaciones del sistema y sustituir su valor en la otra ecuación.
En este caso, aislando la variable "y" de la segunda ecuación se obtiene:
y= 55 -4x
Reemplazando en la primer ecuación se llega a la expresión:
2x+3×(55 -4x)=65
2x +3×55 - 3×4x=65
2x + 165 - 12x=65
2x -12x= 65 -165
-10x=-100
x= (-100)÷ (-10)
x=10
Finalmente, para obtener el valor de y se reemplaza en la expresión anteriormente obtenida para y:
y= 55 -4x
y= 55 -4×10
y= 55 - 40
y=15
Finalmente, recordando que x representa el costo de una botella de agua e y representa el costo de una bolsa de palomitas, entonces el costo de una botella de agua es $10, mientras que el costo de una bolsa de palomitas es $15.
Aprende más sobre sistemas de ecuaciones lineales:
https://brainly.com/question/15924499?referrer=searchResultshttps://brainly.com/question/17411423?referrer=searchResultsHow do you do these? Would they equal 180?
Answer:
D
Step-by-step explanation:
draw a line c on point3 and // to a and b, then angle3 will be 32+41 will be 73
A firefighter has a mass of 80 kg. He is at the top of a ladder 15 m from the ground. What is the
firefighter's potential energy?
Please help meeee ASAP!!! It’s science MATH!
Answer:
Step-by-step explanation:
The formula for solving this is
P=mgh
M=80kg
h=15m
g=9.8 (acceleration due to gravity constant)
P=?
Then we should substitute our values
P=80×9.8×15
Potential energy=11760
Help?...
1/3(-3) + 13
Answer: 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
1/3(-3)=-1
-1+13=12
come on man wont you answer a poor sinners question SERIOUSLY HELP
Step-by-step explanation:
1000 is the answer man you want it right
Mike's truck engine holds 1 and 1/4 gallons of oil if there are 3 quarts of oil in the engine now how many more quarts of oil does Mike need to fill the engine to capacity
Answer:
2 more quarts of oil is needed to fill
the engine to capacity
Step-by-step explanation:
Here, we want to calculate how many more quarts of oil is required to fill the engine to capacity
We have to convert the capacity to quarts
Mathematically, 1 gallon = 4 quarts
So 1 1/4 gallon will be 5/4 * 4 = 5 quarts
So the number of quarts needed to fill the engine to capacity will be 5 quarts - 3 quarts = 2 quarts
I need this math equation simplified.
Answer:
80 hope this helps!
Step-by-step explanation:
En un día de temporal de lluvia el meteorólogo dijo en las noticias que la probabilidad de que lloviera ese día era del 70%. ¿Qué significa ese dato?
Answer:
Vamos a definir:
100% probabilidad de lluvia = Es seguro que ese día va a llover.
0% probabilidad de lluvia = Es seguro que ese día no va a llover.
Ahora, los valores intermedios admiten una dualidad, es decir, es posible que llueva o que no.
Particularmente en el caso del 70% significa que:
Si tenemos un dado de 10 caras, con los números {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Y lo tiráramos, los resultados {1, 2, 3, 4, 5, 6, 7} indicarían que llueve.
Los resultados {8, 9, 10} indicarían que no llueve.
Entonces es mas probable que llueva, pero la probabilidad de que no llueva no es despreciable.
What is Elise's number?
Elise says, "If you subtract 13 from my number and multiply the difference by - 7, the result is -182
Answer:
39
Step-by-step explanation:
In words, Elise's statement can be expressed as follows:
(x-13)(-7) = -182
where x is the number. Working it out you get:
x-13 = 26
x=39
Answer:
39
Step-by-step explanation:
let's use 26 as x
26-13=13*-7=-182
-182 /-7= 26
26+13=39
please help me please
Answer:
11
Step-by-step explanation:
its number 2
Write y = 2x + 8 in standard form.
Answer:
2x - y = -8
:)
Christy earned $41.25 for selling 3 birdhouses at a craft market. The equation y=13.75x can be used to represent this situation. What is the constant of proportionality? Express your answer in decimal form.
Hii!! I need help finding a Distributive property equation so that x=8 Thanks! :)
aziel left to play basketball at 3:30 p.m . he came home at 5:00 p.m . How long was he gone ?plz show ur working out and thank u
Answer:
1hr 30mins
Step-by-step explanation:
if u do
3:30-4:30 its 1 hr
4:40-5:00 is half an hour (30mins)
Does anyone know the correct choice for this question? If its correct ill mark you as the best answer choice!
Answer:
The answer is B
Step-by-step explanation:
Plug in all the answer choices
A would be -2/3= -12
B would be -12= -12
C would be -36= -12
B would be 12= -12
here is a better pic
Answer:
i
Step-by-step explanation:
Aurora has eating 3 out of the 10 treats I gave her. What percent of treats did she eat?
I NEED THE ANSWER RIGHT NOWWWW
Hailey is shopping at a department store during a 20% off everything sale. She also has a coupon for $5.00 off the sale amount. Hailey wants to keep her total under $65.00 before tax, so she creates this inequality:
0.80x − $5.00 ≤ $65.00.
Which inequality represents all possible solutions for x?
A. x ≤ $75.00
B. x ≤ $76.25
C. x ≤ $86.25
D. x ≤ $87.50
Answer:
All of them would be under $65
Answer:
D
Step-by-step explanation:
2) The Rodriguez family went to dinner at Pasta Palace. Mr. Rodriguez ordered a
meal for $16.25; Mrs. Rodriguez ordered a meal for $19.50; the three children
ordered individual pizzas for $6.99 each. The tax rate is 8.75% and the family
wants to leave an 18% tip applied after the tax. How do they leave in all
including tax and tip? Helpppp pleaseee!!! I will give brainlest!!!! With explanation
please awnser thank
What are the similarities and differences that exist between all continuous linear and continuous exponential functions?
what is the inverse of the function
Answer:
f⁻¹(x) = x+2 / 3
Step-by-step explanation:
Given function is:
f(x) = 3x-2
We have to find the inverse of the given function.
Put y = f(x) in given function, we have
y =3x-2
Adding 2 to both sides of the above equation we have
y+2 = 3x-2+2
y+2 = 3x
Dividing by 3 to both sides of the above equation, we have
y+2 / 3 = 3x / 3
y+2 / 3 = x
Put x = f⁻¹(y) in the above equation we have
y+2 / 3 = f⁻¹(y)
Swapping equation we have
f⁻¹(y) = y+2 / 3
Replace y with x we have
f⁻¹(x) = x+2 / 3 which is the answer.
4.
Mrs. Wagner tracked the weight of a baby kitten and recorded it in the table below.
Based on the information in the table, how much weight does the kitten gain per month?
6.5 pounds
2 pounds
1.5 pounds
3.5 pounds
Answer:
1.5
Step-by-step explanation:
Help with these 2 pls!
Answer:
2: option four
3: option four
Step-by-step explanation:
they are both option four
Estimate what the value of x could be.
Answer:
where is the question?
Step-by-step explanation:
you just said to estimate the value of what x can be.
Which of Anne's actions demonstrates her changing sense of self? She is bored with her childish pranks. She wants to stop bickering with her mother She has identified her good side and is trying to let it show. She is interested in developing a friendship with Peter
Answer:
She has identified her good side and is trying to let it show.
Step-by-step explanation:
I did this already so I know it right.
Answer:
She has identified her good side and is trying to let it show.
Step-by-step explanation:
Haha, I just finished this assignment.
A restaurant uses 3 3 pounds of pasta for a party of 14 14 people. If they are cooking pasta for a party of 56 56 people, what should they do? CLEAR CHECK Use 42 42 more pounds of pasta. Use twice as much pasta. Use 12 12 more pounds of pasta. Use 4 4 times as much pas
Answer:
Use 12 more pounds of pasta.
Step-by-step explanation:
A restaurant uses 3 pounds of pasta for a party of 14 people. If they are cooking pasta for a party of 56 people, what should they do?
Hence, we have:
14 people = 3 pounds of pasta
56 people = x
Cross Multiply
14 × x = 56 × 3
14x = 56 × 3
x = 56 × 3/14
x = 12 pounds of pasta
Hence, if they are cooking for 56 people they should use 12 pounds of pasta
(Grade6math) Can somebody plz answer these questions correct in simplify form.. cuz idk how to answer it like that..still learning.
WILL MARK BRAINLIEST!!!!!
Answer:
1. 1, 2. -15, 3. -18, 4. -1, 5. -11. 6. 22
Step-by-step explanation:
REMEMBER: If a positive multiplies a negative, it will result in a negative. If a negative multiplies a negative, it will resolve as a positive
1. 7 - 2 x 3 = 1
First, multiply 2 and 3 to get 6
7 - 6
Subtract the numbers to get 1
2. -8 + 14 / (-2) = -15
First, do 14 divided by -2 to get -7
-8 + -7
Add the two numbers to get -15
3. -6 + (-3) x 4 = -18
First, multiply -3 and 4 to get -12
-6 + -12
Add the two numbers together to get -18
4. 48 / (-12) +3 = -1
Divide 48 and -12 to get -4
-4 + 3
Add the two numbers to get -1
5. 16 / (-2) -3 = -11
Divide 16 by -2 to get -8
-8 - 3 = -8 + (-3)
Add the two numbers together to get -11
6. -11 x 4 / (-2) = 22
Work the problem from left to right, start with -11 x 4 to get -44
-44 / -2
Divide the equation to get 22
7 cm
4 cm
8 cm
what is the area?
what shape is this
I cant answer it if there's no shape in the question
7cm
4cm
8cm
Aare=?
soln
a+b+c
7cm+4cm+8cm
A=19cm
There are 35 students in a drama club two out of every five boys in the club are boys how much diamonds in the club are boys
Given:
Number of students = 35
Two out of every five boys in the club are boys.
To find:
The number of students in the club that are boys.
Solution:
Two out of every five boys in the club are boys. It means, the ratio of boys to the total number of student is 2:5.
Let the number of boys be 2x and number of students be 5x.
According to the question,
[tex]5x=35[/tex]
[tex]x=7[/tex]
Now, the number of boys is
[tex]2x=2(7)[/tex]
[tex]2x=14[/tex]
Therefore, 14 students in the club are boys.
The distance a baseball travels when a player hits the ball varies directly with the speed with which the player swings the bat. The graph below shows the distances a baseball travels (in feet) and the speed of the swing (in miles per hour). A graph titled Baseball Speed has speed of swing (in miles per hour) on the x-axis, and distance (in feet) on the y-axis. A line goes through points (0, 0), (40, 200), (60, 300). Based on the graph, which relationship exists between the speed of the swing and the distance the ball travels?
The distance a baseball travels when a player hits the ball varies directly with the speed with which the player swings the bat. The graph below shows the distances a baseball travels (in feet) and the speed of the swing (in miles per hour). A graph titled Baseball Speed has speed of swing (in miles per hour) on the x-axis, and distance (in feet) on the y-axis. A line goes through points (0, 0), (40, 200), (60, 300). Based on the graph, which relationship exists between the speed of the swing and the distance the ball travels?
Answer: the realtionship between exists is (50, 145)
Answer:
The distance is 5 times the swing speed. or c
Step-by-step explanation: