A newly discovered solar system is found 600 billion kilometers from the sun. How many AU does this represent? Show your work.

Respuesta :

1 AU means 1 astronomical unit or the aproximate distance from the earth to the sun 
1AU=149597870.7 kiometers

1 billion=1,000,000,000
600 billion=600,000,000,000


x times 1AU=600,000,000,000
x times 
149597870.7=600,000,000,000
solve for x
divide both sides by 
149597870.7
x=4010.75
so aprox 4011 AU's

Answer:

[tex]4011[/tex] AU

Explanation:

AU stands for astronomical unit. It is a unit of measurement in space.

One AU is equal to [tex]1.496 * 10^8[/tex] Kilometers.

Given -

The distance between the newly discovered solar system and the sun [tex]= 600[/tex] 600 billion kilometers.

[tex]= 600* 10^9\\= 6 ^ 10^ {11}[/tex] kilometers

Converting this distance (in kilometer) to AU , we get -

[tex]\frac{6*10^{11}}{1.496*10^8} \\= 4.011 * 10^3\\= 4011[/tex]AU