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Answer:

y=7/4x+7

Step-by-step explanation:

Answer:

64=x

Step-by-step explanation:

128= 2x

128÷2= 64

x=64

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:

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:

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.

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.

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

Answer:

3

Step-by-step explanation:

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:

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 :).

Answer:

y= x+1/2, (-4,1)

y= x+6, (-1,-3)

y= x - 9, ( 0,0)

Answer:

b

Step-by-step explanation:

Answer:

its b  hi how was yalls day

Answer:

She can ride the roller coaster 7 times, with 1 ticket left over.

Step-by-step explanation:

Answer:

the increased price was $150.00

may you consider giving me brainliest

Step-by-step explanation:

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.

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

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!

AB = CD because opposite sides of a  parallelogram are congruent or equal

BC = DA because opposite sides of a parallelogram are equal or congruent.

The properties of a parallelogram are:

Hence, 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

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:

Answer:

42 +2-2=42

Step-by-step explanation:

Answer:

first thing first 2-2=0 not 42

it is not cuz it is

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.  

Answer:

(0, -3)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

x - 4y = 12

x - 5y = 15

Step 2: Solve for y

Elimination

Step 3: Solve for x

Answer:

32

Step-by-step explanation:

10  divided  by  5/2  or  2  and  1/2  is  4   4  x  8  =  32.

Answer:

x=4

Step-by-step explanation:

refer the photo I have attached

Answer:

18.03%

Step-by-step explanation:

hope this helps

Answer:

680, hope this helps!

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

Answer:

y=5×+2

Step-by-step explanation:

5(1)+2=7

5(2)+2=12

5(3)+2=17

5(4)+2=22

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]

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

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

Answer:

a: proportional

Step-by-step explanation:

48/42=16/14

48/3=16

42/3=14