Simplify completely:

Answer:

Ambos recipientes tienen la misma densidad, es decir, 10 kilogramos por metros cúbicos.

Step-by-step explanation:

Recordamos que la densidad de un material uniforme ([tex]\rho[/tex]), medido en kilogramos por metro cúbico, está definido por:

[tex]\rho = \frac{m}{V}[/tex] (1)

Donde:

[tex]m[/tex] - Masa, medido en kilogramos.

[tex]V[/tex] - Volumen, medido en metros cúbicos.

Ahora calculamos la densidad de cada recipiente:

Recipiente A ([tex]m =1200\,kg[/tex], [tex]V = 120\,m^{3}[/tex])

[tex]\rho = \frac{1200\,kg}{120\,m^{3}}[/tex]

[tex]\rho = 10\,\frac{kg}{m^{3}}[/tex]

El recipiente A tiene una densidad de 10 kilogramos por metro cúbico.

Recipiente B ([tex]m = 2400\,kg[/tex], [tex]V = 240\,m^{3}[/tex])

[tex]\rho = \frac{2400\,kg}{240\,m^{3}}[/tex]

[tex]\rho = 10\,\frac{kg}{m^{3}}[/tex]

El recipiente B tiene una densidad de 10 kilogramos por metro cúbico.

Ambos recipientes tienen la misma densidad, es decir, 10 kilogramos por metros cúbicos.

Answer:

  y = 5x - 7

Step-by-step explanation:

slope m = (y₂ - y₁) / (x₂ - x₁)

              = (-12 - 3) / (-1 - 2)

              = (-12 - 3) / (-1 - 2)

              = -15 / -3

          m = 5

y-intercept using slope above and anyone point, let's use (-1, -12):

y = mx + b

-12 = 5(-1) + b

-12 = -5 + b

b = -7

Equation of line using m and b from above:

y = mx + b

y = 5x - 7

The value  of x - 2 in the equation 3x - 6 = 21 is 7.

An equation is comparing two equal quantities in different form.Equations can be of many types like algebraic equation, logarithmic equation,trigonometric equations, exponential equations.We can also graph this equations in 2 dimensional and 3 dimensional plane.

According to the question given an equation 3x - 6 = 21 first we have to solve for x or find the value of x.

∴ 3x - 6 = 21.

3x = 21 + 6.

3x = 27.

x = 27/3.

x = 9.

So, the value of (x-2) will be (9-2) = 7.

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Answer:

Step-by-step explanation:

In exponent multiplication, if base is same, then add the powers

[tex](7 * 7) * (10^{-6}*10^{-6})= 49 * {10^{(-6) + (-6)}\\\\=( 4.9*10^{1} )* 10^{-12}\\\\= 4.9 * 10^{1 + (-12)}\\\\= 4.9 * 10^{-11}[/tex]

Step-by-step explanation:

5. Let the equation of the line be y = mx + c

m = (6-15)/(2-(-1)) = -3

sub (2, 6) and m = -3:

6 = -3(2) + c

c = 12

Equation of the line: y = -3x + 12

6. Let the equation of the line be y = mx + c

y-intercept of 7 means c = 7

y = mx + 7

x-intercept: value of x when y = 0

therefore, sub (4, 0):

0 = m(4) + 7

m = -7/4

Equation of the line: y = -7/4x + 7

this is a topic on coordinate geometry. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting the notes for this topic soon and will also be posting other topics' notes and some tips :)

Answer:

15

Step-by-step explanation:

Answer:

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Answer:

second one

Step-by-step explanation:

Answer:

y = x/2 -1/2

Step-by-step explanation:

let’s write this equation as

y = 2x + 1

to find the inverse let’s switch x and y

x = 2y + 1

and solve for y

x -1 = 2y

y = x/2 -1/2

so the inverse is

y = x/2 -1/2

Answer:

(-6 , 8 )

Hope this helps!

Answer:

umm

Step-by-step explanation:

what? XD wdym

confusion...

Answer:

What?

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

Okay the triangle should add up to 180.

The square represents a right angle = 90°

So just do this

60° + 90° + x = 180 (collect like terms)

150° + x  = 180 (subtract 150 on both sides)

x = 30

Hope this helps ya!

Answer:

x = 30

Step-by-step explanation:

the trinagle has an angle of 180.

and the trainage has a 90°  next to the 60

So

60° + 90° + x = 180 (there are term)

150° + x  = 180

subtract 150 on both sides

150 - 150  180-150 =  x = 30

Answer:

233.33%

Step-by-step explanation:

His profit is 233.33%.

A percentage is a number or ratio that can be expressed as a fraction of 100.

Here, given that,

A carpenter bought some wood for #900.

He used the wood to make a shelf which he sold for #3000

Profit= #(3000-900)

        =#2100

So, percentage of profit = 233.33%

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Answer: a= 0.1 b=20.775 c=0.02

Step-by-step explanation:

just got it right on edg

Answer:

x = 14 inches

Step-by-step explanation:

The area of a square piece of paper is 200 square inches.

We need to find the point on the number line below represents the measurement closest to the side length of the piece of wrapping paper​. It is shown in the attached figure.

Area of a square = x², x is the side length

[tex]x=\sqrt{A} \\\\x=\sqrt{200} \\\\x=14.142\ \text{inches}[/tex]

or

x = 14 inches

So, the side length of the square is 14 inches. It is shown in point A.

Answer:

Smartphones can imrove student lives by giving students the ability to contact their teachers to ask questions or comment on a specific work. they can also allow the student to look up answers and learn from what others think. Smartphones can also add distractions in class and allow an easy way to cheat on a test or a quiz. Overall Smartphones can be beneficial and harmful to a students life.

Step-by-step explanation:

Answer:

Step-by-step exmark brain list answers

mark

get 3 point

freee

planation:

Answer:

4.3 hours

Step-by-step explanation:

Let the number of hours Sally does a job = x

Let the number did hours Joan does a job be equal to y

Sally and Joan were able to dust the house in 3 hours together.

1/x + 1/y = 1/3

It takes Joan 10 hours to finish the same job alone.

Hence,

1/x + 1/10 = 1/3

1/x = 1/3 - 1/10

Least common dey = 30

1/x = 10 - 3/30

1/x = 7/30

Cross Multiply

x × 7 = 30

7x = 30

x = 30/7

x = 4.2857142857 hours

Approximately = 4.3 hours

Without help, it would take Sally 4.3 hours to finish the same job.

Answer:

The third one

Step-by-step explanation:

The slope is negative which means the right side goes down and the y-intercept is 6 which means the line intercepts the point 6 on the y axis.

Hello!

The answer is 128,075!

Hopefully this helps! :3

Answer:

-3, -2, -1, 0, 1, 2, 3

Step-by-step explanation:

Answer:

it simplify is [tex]x[/tex]²+4[tex]x[/tex]

Step-by-step explanation:

Answer:

Costo fijo= $104.5

Costo unitario=  $0.5 por minuto

Step-by-step explanation:

Mes pasado:

$239 por 269 minutos

Mes corriente:

$175 por 141 minutos

Primero debemos calcular el cost por minuto de llamada:

Costo unitario= (costo total más alto - costo total más bajo) / (cantidad de minutos más alto - cantidad de minutos más bajo)

Costo unitario= (239 - 175) / (269 - 141)

Costo unitario=  $0.5 por minuto

Ahora, el costo fijo:

Costo fijo= costo total más alto - (costo unitario*cantidad de minutos más alto)

Costo fijo= 239 - (0.5*269)

Costo fijo= $104.5

Costo fijo= costo total más bajo - (costo unitario*cantidad de minutos más bajo)

Costo fijo= 175 - (0.5*141)

Costo fijo= $104.5