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jolli1 [7]
3 years ago
8

Is this right?? please help!

Mathematics
1 answer:
Ganezh [65]3 years ago
4 0

Answer:

  6 < x < 8

Step-by-step explanation:

The compound inequality in this instance represent the "and" condition, not the "or" condition.* We might solve it like this.

  -47 > 1 -8x > -63 . . . . given

Multiply by -1:

  47 < -1 +8x < 63

Add 1:

  48 < 8x < 64

Divide by 8:

  6 < x < 8

______

* You can tell this is the case by looking at the ends of the given statement:

  -47 > -63 . . . . a true statement, so the solution set will be an intersection, not a union.

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To find how approximately how many moons could fit inside the earth, you would need yo find the volumes the earth and the moon.

V = 4/3 π r^3

Earth:
d = 2r
d = 7926 miles
7926 = 2r
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V = 4/3 π (3963)^3
V = 4/3 π (62240377347)
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Moon:
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V = 4/3 π (1079.5)^3
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Now you divide the volume of earth by the volume of moon to find how many moons can fit in earth
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approx 49

Rounding to the nearest whole number, 49 moons can fit in the earth.
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