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PilotLPTM [1.2K]
3 years ago
6

The Sun is approximately 9.29×107 miles from Earth. The moon is approximately 2.389×105 miles from Earth. How much farther is th

e Sun than the Moon from Earth?
Mathematics
1 answer:
pentagon [3]3 years ago
4 0

Answer:

  9.27×10^7 miles

Step-by-step explanation:

The difference of the distances is ...

  9.29×10^7 - 0.02389×10^7 = 9.26611×10^7 ≈ 9.27×10^7 . . . miles

_____

Your calculator can compute this difference. A scientific calculator can display it in scientific notation.

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Answer:

  w = -2 or 8 1/3

Step-by-step explanation:

Setting the two expressions equal makes a quadratic equation:

  -5 +0.6w = w(2.5 -0.3w)

  0.3w^2 -1.9w -5 = 0 . . . . . . subtract the right-side expression

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We can use the zero product rule to find the solutions. The product will be zero only if a factor is zero.

  3w -25 = 0   ⇒   w = 25/3 = 8 1/3

  w +2 = 0   ⇒   w = -2

The values of w that make the two expressions equivalent are -2 and 8 1/3.

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