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Trava [24]
3 years ago
6

The diameter of a planet is about 10,652 mi. The diameter of the planet's moon is about 25% of the planet. What percent of the v

olume is the volume of its moon.
*ROUND TO THE NEAREST WHOLE NUMBER AS NEEDED.
Mathematics
1 answer:
alekssr [168]3 years ago
5 0

Answer:

2\%

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x----> the volume of  the planet's moon

y---> the volume of the planet

so

z^{3}=\frac{x}{y}

In this problem we have

z=0.25

elevated to the cube

z^{3}=0.25^{3}=0.015625

Find the percent

0.015625*100=1.56\%

Round to the nearest whole number

1.56\%=2\%

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Find four consecutive even integers such that seven times the first exceeds their sum by 18.
Ganezh [65]

Answer:

10, 12, 14, 16

Step-by-step explanation:

Given: Four consecutive even integers such that seven times the first exceeds their sum by 18.

Lets assume the first number be "x".

As it is even integers

∴ Second consecutive number will be (x+2)

  Third consecutive number will be (x+4)

  Fourth consecutive number will be (x+6)

Now, as given seven times the first exceeds their sum by 18.

∴ [x+(x+2)+(x+4)+(x+6)]+18 = 7x

solving the equation to find the number.

⇒ [x+(x+2)+(x+4)+(x+6)]+18 = 7x

Opening parenthesis

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subtracting both side by 4x

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Dividing both side by 3

∴ x= 10.

Hence, subtituting the value x to find four consecutive even integers.

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∴ Four consecutive even integers are 10,12,14,16.

8 0
3 years ago
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