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Gwar [14]
3 years ago
7

el volumen de un cubo es de 125 cm3 ¿ cuantas veses aumentara el volumen de ese cubo si se duplica la medida de su arista

Mathematics
1 answer:
Vinil7 [7]3 years ago
5 0

Answer: 8 times.

Step-by-step explanation:

I will answer in English:

This says:

The volume of a cube is 125cm^3

How many times the volume will increase if we duplicate the lenght of the side?

If L is the lenght of the side, we have that the volume of the cube is:

V = L^3

If we duplicate the lenght of the side, the new volume is:

V = (2*L)^3 = 8*L^3

So we can see that the volume of the new cube is 8 times the volume of the previous cube.

Now,  we can do the math, for our original cube we have:

L^3 = 125cm^3

L = 5cm

the new cube has L' = 2*L = 10cm

The volume of this cube is:

V' = L'^3 = 10cm^3 = 1000cm^3

the ratio V'/V is:

1000cm^3/125cm^3 = 8

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Answer:

x = 10

Step-by-step explanation:

8 + 12 = 2x

8 + 12 = 20

20 = 2x

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2      2

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Delvig [45]

10 small boxes and 11 large boxes were shipped.

Step-by-step explanation:

Given,

Total boxes shipped = 21

Total volume of shipped boxes = 342 cubic feet

Volume of each small box = 10 cubic feet

Volume of each large box = 22 cubic feet

Let,

Number of small boxes = x

Number of large boxes = y

According to given statement;

x+y=21     Eqn 1

10x+22y=342    Eqn 2

Multiplying Eqn 1 by 10

10(x+y=21)\\10x+10y=210\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(10x+22y)-(10x+10y)=342-210\\10x+22y-10x-10y=132\\12y=132

Dividing both sides by 12

\frac{12y}{12}=\frac{132}{12}\\y=11

Putting y=11 in Eqn 1

x+11=21\\x=21-11\\x=10

10 small boxes and 11 large boxes were shipped.

Keywords: linear equation, subtraction

Learn more about linear equations at:

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1. what two things need to be true in order to add/subtract two radicals ?
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Step-by-step explanation:

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Lubov Fominskaja [6]

Answer:

There is no exponential function passing through (1,1) and (5,5).

Step-by-step explanation:

We have the following exponential function

y = Ce^{kt}

The function passes through these two points:

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(5,5): This means that when t = 5, y = 5.

So

(1,1)

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(5,5)

y = Ce^{kt}

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From above, we have that:

e^{k} = \frac{1}{C}

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This means that there is no exponential function passing through (1,1) and (5,5).

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