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Romashka [77]
3 years ago
7

–10 = –6 + 2c –8 1 –2 2

Mathematics
1 answer:
guapka [62]3 years ago
6 0

–10 = –6 + 2c

+ 6     + 6          Add 6 to cancel out -6

-4 = 2c

/2    /2              Divide by 2 to get c variable alone

-2 = c               Choice C is the correct answer

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What is $16.50 x 7%​
Alexus [3.1K]

Answer:

1.155

Step-by-step explanation:

4 0
3 years ago
A solid cylinder of iron whose diameter is 18 cm and height 12 cm is melted and turned into a solid sphere. Find the diameter of
finlep [7]

Answer:

Diameter of sphere = 18 cm

Step-by-step explanation:

<h2>Volume of Cylinder and Sphere:</h2><h3> Cylinder:</h3>

     Diameter = 18 cm

                  r = 18÷ 2 = 9 cm

                 h = 12 cm

\sf \boxed{\bf Volume \ of \ cylinder = \pi r^2h}

                                    = π * 9 * 9 * 12 cm³

<h3>Sphere:</h3>

  \sf \boxed{\text{\bf Volume of sphere = $\dfrac{4}{3} \pi r^3$}}

Solid cylinder is melted and turned into a solid sphere.

Volume of sphere = volume of cylinder

 \sf \dfrac{4}{3}\pi r^3 = \pi *9*9*12

      \sf r^{3}= \dfrac{\pi *9*9*12*3}{4*\pi }\\\\  r^{3}=9 * 9 *3 *3\\\\\\r = \sqrt[3]{9*9*9}\\\\ r = 9 \ cm\\\\diameter = 9*2\\\\\boxed{diameter \ of \  sphere = 18 \ cm}

6 0
1 year ago
En un pueblo hay tres iglesias cuyas campanas tocan cada 15 minutos, cada 20 minutos y cada 35 minutos. Suponiendo que en este i
34kurt

Answer:

420 minutos

Step-by-step explanation:

Resolvemos esta pregunta utilizando el método mínimo común múltiple

Encontramos los múltiplos de 15, 20 y 35

Múltiplos de 15:

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450

Múltiplos de 20:

20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440, 460

Múltiplos de 35:

35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420, 455, 490

Por lo tanto,

MCM (15, 20, 35) = 420

El primer múltiplo común es el mínimo común múltiplo.

Por tanto, el tiempo en el que las 3 campanas de la iglesia volverán a coincidir = 420 minutos

7 0
2 years ago
What is the solution of √1-3x = x+3 ?<br><br><br>​
Vadim26 [7]

Answer:

{-1, -8}

Step-by-step explanation:

Please enclose "1 - 3x" inside parentheses so the reader will know that you want the square root of all of "1 - 3x".

Squaring both sides of the given equation, we get:

1 - 3x = x^2 + 6x + 9, or  x^2 + 6x + 8 + 3x, or

x^2 + 9x + 8 = 0.  Factoring, we get:  (x + 8)(x + 1) = 0, so that the solutions are {-1, -8}.

5 0
2 years ago
Read 2 more answers
Which of the following points is a solution of the inequality y &lt; -|x|?
ch4aika [34]

Answer:

(1, -2)

Step-by-step explanation:

1 < -|-2|

1 < |2|

because its absolute x can be -2 or +2. Both are greater than 1 so absolute 2 gets eaten.

8 0
3 years ago
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