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Lelechka [254]
1 year ago
5

Saturn’s rings span up to about 3/4 of the distance between the Earth and its moon. If Saturn’s rings span up to 179,000 kilomet

ers, what is the distance between Earth and its moon?
Mathematics
2 answers:
larisa [96]1 year ago
4 0

Answer:

The distance between Earth and its moon is about 238,667\ km

Step-by-step explanation:

Let

y ------> Saturn’s rings span up

x -----> the distance between the Earth and its moon

we know that

The linear equation that represent this situation is

y=\frac{3}{4}x -----> equation A

y=179,000\ km -----> equation B

substitute B in equation A and solve for x

179,000=\frac{3}{4}x

Multiply by 4/3 both sides

x=179,000(\frac{4}{3})

x=238,667\ km

andrey2020 [161]1 year ago
4 0

Same answer as what the person above said but the rounded answer in scientific notation is 2.39 · 10⁵.

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a motor boat traveled 18 miles down a river in 2 hours but took 4.5 hours to return upstream. Find the rate of the motor boat in
tangare [24]

Answer:

  • rate of the boat in still water = 6.5 miles / hour

  • rate of the current = 2.5 miles / hour.

Explanation:

<u>1) Name the two variables:</u>

  • c: rate of the current
  • b: rate of the boat in still water:

With that, the net rates of the boat down the river and upstrean are:

  • down the river: b + c
  • upstream: b - c

<u>2) Now set the equations for the distance as a function of the times and the rates:</u>

  • distance = rate × time

  • downstream: 18 miles = (b + c) × 2 hours
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<u>3) Set the system of equations:</u>

  • 18 = 2(b + c) ⇒ 9 = b + c . .  . Equation (1)
  • 18 = 4.5 (b - c) ⇒ 4 = b - c . . . Equation (2)

<u>4) Solve the system by </u><u>elimination</u><u>:</u>

  • Add equations (1) and (2): 9 + 4 = 2b
  • Divide both sides by 2: 13/2 = b
  • Simplify: b = 6.5

  • Replace b with 6.5 in equation (2) and solve:

       4 = 6.5 - c ⇒ c = 6.5 - 4 = 2.5

<u>5) Results:</u>

  • b = rate of the boat in still water = 6.5 miles / hour

  • c = rate of the current = 2.5 miles / hour.

   

3 0
1 year ago
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The jacksons went camping in a state park. one of the tents  they took is shown.what is the volume of the tent?

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RUDIKE [14]

Answer:

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Step-by-step explanation:

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Given equation is x^2+y^2-z^2=1

To find : a line that lies entirely in the set defined by the given equation.

Solution:

Take x=1\,,\,y=t\,,\,z=t

Check:

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Answer:

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Step-by-step explanation:

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Costo final= $412.38

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