Answer:
-5/7
Step-by-step explanation:
(y2-y1)/(x2-x1) (6-11)/(5--2)
Imagina que vas a un partido de béisbol con tus amigos, y tienen hambre. El costo de dos botellas de agua y 3 bolsas de palomitas es de $65. El costo de 4 botellas de agua y 1 bolsa de palomitas es de $55. Para saber cuánto pagaría cada uno, determina el costo de una botella de agua y de una bolsa de palomitas.
(Considera que x=agua y y= palomitas)
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=searchResultsA taxi driver fills the gas tank and calculates that the car traveled 356.35 miles using 9.5 gallons of gas how many miles per gallon did the car get?Do not enter label only the number part of the anwser
Answer:
37.5 miles per gallon
Step-by-step explanation:
In order to calculate the mileage per gallon of the car we simply need to divide the total number of miles that the car has travelled by the total amount of gas that is used during that time. Since we are given both of these values then we can simply go ahead and use these values to find the car's gas mileage...
356.35 / 9.5 = 37.5 miles per gallon
Finally, we can see that the taxi driver's car gets roughly 37.5 miles per gallon.
Marg earns $13.10 an hour and works 40 regular hours and 8 hours of overtime in one week. If she is paid time and a half for overtime, what is her gross pay for the week?
Answer:
Her gross pay for the week is $681.2.
Step-by-step explanation:
First, you can determine the amount she would earn for working 40 regular hours by multiplying the number of hours for the amount she receives per hour:
$13.10*40=$524
Now, to calculate the amount Marg earns for 8 hours of overtime, you need to determine the amount she earns per hour of overtime given that she is paid time and a half which means that you need to multiply the amount she earns by regular hour for 1.5. Then, you have to multiply this for the number of hours:
($13.10*1.5)*8=$157.2
Finally, you need to add the amount she earns by working 40 regular hours plus the amount she earns by working 8 hours of overtime in one week:
$524+$157.2=$681.2
According to this, the answer is that her gross pay for the week is $681.2.
PLEASE HELP I HAVE 5 MINUTES!
So basically you can determine which of them are functions by using the vertical line test. If you can draw any vertical line that intersects more than one point of the relationship, then it is not a function.
I'm not complete sure about the discrete one but, hopefully it's right :).
Help plz:))) I’ll mark u brainliest
Answer:
x=4
Step-by-step explanation:
refer the photo I have attached
The Furniture store bought a table for $200.00, and sold it for $350.00. What was the percent increase of the price of the table?
Answer:
the increased price was $150.00
may you consider giving me brainliest
Step-by-step explanation:
X - 4y = 12
X - 5y = 15
PLS HELP ME SOLVE USING ELIMINATION
Answer:
(0, -3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
x - 4y = 12
x - 5y = 15
Step 2: Solve for y
Elimination
Subtract 2 equations: y = -3Step 3: Solve for x
Define original equation: x - 4y = 12Substitute in y: x - 4(-3) = 12Multiply: x + 12 = 12Subtract 12 on both sides: x = 0Which expressions are equivalent?
3x - 7y and -7y + 3x
3x - 7y and 7y -3x
3x - 7y and 3y - 7x
3x - 7y and -3y + 7x
Answer:
Which expressions are equivalent?
3x - 7y and -7y + 3x
3x - 7y and 7y -3x
3x - 7y and 3y - 7x
3x - 7y and -3y + 7x
=
A.) 3x - 7y and -7y + 3x
Question 12 (5 points)
Which of the following steps indicates the distributive property when solving - 3(x +
2) = 21?
A) -3x+ 2 = 21
B) -3x - 6 = 21
C) -3x - 6 = 63
D) -3(x-2)/-3=21/3
Answer: B) -3x+2=21
Step-by-step explanation:
3(x+2)=21 x = -9
-3x-6=21 x = -9
this answer is correct bc x = the same for both equations.
it for my sister please help
Answer:
y=5×+2
Step-by-step explanation:
5(1)+2=7
5(2)+2=12
5(3)+2=17
5(4)+2=22
Geometry Help, you have to know what the angle is to solve the x
Answer:
64=x
Step-by-step explanation:
128= 2x
128÷2= 64
x=64
Un marino está parado en la proa de un velero y observa el faro en la orilla de la costa.Si el marino tiene una estatura de 1.80m y proyecta una sombra de 2m de largo sobre el velero,¿a que distancia se encuentra este hombre de la costa si se sabe que la altura del faro respecto al nivel Del Mar es de 36m?
Answer:
El marino se encuentra a 40 metros de la costa.
Step-by-step explanation:
Podemos ver la conjunción de la proyección de la sombra del marino con su altura como un triángulo rectángulo con:
b: base = cateto inferior = 2 m
h: altura = cateto superior = 1.80 m
θ₁: ángulo entre la hipotenusa y h (cateto inferior o base).
De este primer triángulo tenemos:
[tex] tan(\theta_{1}) = \frac{h}{b} = \frac{1.80 m}{2 m} = 0.9 [/tex] (1)
Ahora, dado que la proyección del marino se debe al faro, de la atura de éste junto con la distancia entre el marino y la costa tenemos:
x: distancia entre el marino y la costa = cateto inferior =?
H: altura del faro = cateto superior = 36 m
θ₂: ángulo entre la hipotenusa y "x" (base).
De este segundo triangulo tenemos:
[tex] tan(\theta_{2}) = \frac{H}{x} = \frac{36 m}{x} [/tex]
[tex]x = \frac{36 m}{tan(\theta_{2})}[/tex] (2)
Debido a que θ₁ = θ₂ (por ser los dos triangulos semejantes), entonces introduciendo la ecuación (1) en (2) tenemos:
[tex]x = \frac{36 m}{tan(\theta_{1})} = \frac{36 m}{0.9} = 40 m[/tex]
Por lo tanto, el marino se encuentra a 40 metros de la costa.
Espero que te sea de utilidad!
Using the given points, determine the slope.
(5, -6) and (2, 15)
Answer:
-7
Step-by-step explanation:
Answer:
The correct answer is -7.
Step-by-step explanation:
(5,-6) and (2,15)
15-(-6) divided by 2-5
After doing that you'll get 21 over negative 3
You then divide 21 by -3, and you get -7.
who know the answer to 170 times 4
Answer:
680, hope this helps!
Suppose the function shown below was expressed in standard form, v = a * x ^ 2 + bx + c What is the value of a?
Answer:
a = v / x ^ 2 - b / x - c / x ^ 2 :))))))
Answer:
2
Step-by-step explanation:
The answer is 2=a
just got it correct on the quiz
A model of a statue is
10
10
inches tall. The scale factor of the model to the actual statue is
\frac{5}{2}
2
5
inches = 8 feet
inches=8feet
. How tall is the actual statue?
Answer:
32
Step-by-step explanation:
10 divided by 5/2 or 2 and 1/2 is 4 4 x 8 = 32.
Given: ABCD is a parallelogram.
Prove: AB CD and BC = DA
B
С
AB = CD because opposite sides of a parallelogram are congruent or equal
BC = DA because opposite sides of a parallelogram are equal or congruent.
What are properties of a parallelogram?The properties of a parallelogram are:
Opposite sides are parallel and congruent.Opposite angles are congruent.Consecutive angles are supplementary.Two diagonals bisect each otherHence, AB = CD because opposite sides of a parallelogram are congruent or equal
BC = DA because opposite sides of a parallelogram are equal or congruent.
Learn more about a parallelogram here:
https://brainly.com/question/1851850
#SPJ1
Which functions are invertible?
Select each correct answer.
(See image)
Answer:
The answer is "The last choice".
Step-by-step explanation:
In these cases, its line is drawn test fails the roles seen in the top left or bottom right areas, although in the top left edges it succeeds the examination.
The map is formed by representing the chart in diagonal line Y=x, thus substituting x and y. Its variable of one component is seen. This other than is only a feature whenever the vertical line test was passed.
Answer:
Another answer is the first one(top left)
Step-by-step explanation:
What is the equation for the graph in slope-intercept?
Answer:
y=7/4x+7
Step-by-step explanation:
One pipe can fill a tank in 24 minutes, a second can fill it in 8 minutes, and a third can fill it in 12 minutes. If the tank is empty, how long will the three pipes, operating together, take to fill it?
4 4/5 minutes
4 minutes
1/6 minute
Answer:
4 mins
Step-by-step explanation:
Tank 1: 24
Tank 2: 8
Tanks 3: 12
So you add them all up to equal the "work". which is one. Looks like this:
*** x/24 + x/8 + x/12 = 1 ***
multiply all by 24
x+3x+2x=24
add like terms
6x=24
divided by 6
x=4
So x=4 minutes.
:)
*** You could check by putting 4 into x by the * (stared) problem
Solve the equation 2 – 2 = 42. Show your work or explain how you solved the equation, and justify whether the
solutions are extraneous or not.
Answer:
42 +2-2=42
Step-by-step explanation:
Answer:
first thing first 2-2=0 not 42
it is not cuz it is
P(3, 8), y = {(x + 4)
Write an equation that passes through this line
Answer:
y= x+1/2, (-4,1)
y= x+6, (-1,-3)
y= x - 9, ( 0,0)
The scale on a map shows that 2 inches represents 15 miles. Which proportion can be used to find the actual distance, x, represented by 30 inches on the map? StartFraction 2 over 15 EndFraction = StartFraction 30 over x EndFraction StartFraction 2 over 15 EndFraction = StartFraction x over 30 EndFraction StartFraction 15 over 30 EndFraction = StartFraction 2 over x EndFraction StartFraction 15 over 30 EndFraction = StartFraction x over 2 EndFraction
Answer:
b
Step-by-step explanation:
Answer:
its b hi how was yalls day
Bottle contains 64 fluid ounces of syrup. Each day, you use 3 1/5 fluid ounces of syrup from the bottle. Is there enough syrup in the bottle for 25 days?
Given:
Total syrup = 64 fluid ounces
Syrup used each day = [tex]3\dfrac{1}{5}[/tex] fluid ounces
To find:
Whether there is enough syrup in the bottle for 25 days or not.
Solution:
According to the question,
Requirement of syrup for 1 day [tex]=3\dfrac{1}{5}[/tex] fluid ounces
[tex]=\dfrac{3\times 5+1}{5}[/tex] fluid ounces
[tex]=\dfrac{16}{5}[/tex] fluid ounces
Requirement of syrup for 25 day [tex]=25\times \dfrac{16}{5}[/tex] fluid ounces
[tex]=\dfrac{400}{5}[/tex] fluid ounces
[tex]=80[/tex] fluid ounces
Syrup required for 25 days is 80 fluid ounces which is greater than 64 fluid ounces.
Therefore, 64 fluid ounces of syrup is not enough for 25 days.
48/42 = 16/14
a
proportional
b
non-proportional
pls help
Answer:
a: proportional
Step-by-step explanation:
48/42=16/14
48/3=16
42/3=14
Mark the angles and sides of each pair of triangles to indicate that they are congruent
The Corresponding angles and Corresponding sides are shown below,
[tex]\angle RWX=\angle VXW\\\\\angle RXW=\angle VWX\\\\\angle V=\angle R[/tex] and [tex]RW=VX\\\\RX=VW\\\\WX=WX[/tex]
Congruent triangles :Two triangles are said to be congruent, when corresponding sides and corresponding angles of both triangles are equal.
Given that, triangles WXV and XWR are congruent. so that corresponding sides and angles of these triangles are also equal.
Corresponding angles are shown below,
[tex]\angle RWX=\angle VXW\\\\\angle RXW=\angle VWX\\\\\angle V=\angle R[/tex]
Corresponding sides are shown below,
[tex]RW=VX\\\\RX=VW\\\\WX=WX[/tex]
Learn more about the congruent triangles here:
https://brainly.com/question/1675117
Isabella ordered a set of red and green pins. She received 50 pins, and 70% of them were red. How many red pins did Isabella receive?
Answer: 35
Step-by-step explanation: 70% of 50 is 35
i need help to solve this please
Answer:
3
Step-by-step explanation:
I just wanted to give the answer since I couldn’t find it !
3 6 A
9 12
-3. -6
-9 -12 B
6 12 18 C
6 D
-3
Answer:
Thank you so much!!
Step-by-step explanation:
Thank you so much for helping others.
Successful and unsuccessful people do not vary greatly in their abilities. They vary in their desires to reach their potential. – John Maxwell
geometry is hard and im going to cry
Answer:
hey dont worry we r aliens on a floating rock in space after all, nothing matters we r less than an atom in space :)
Answer:
ditto
i will literally shank myself if i see another angle
Step-by-step explanation: