Answer: Neptune is 34.64 times farther than Earth from the sun.
Step-by-step explanation:
Given: Distance from Earth to the sun is [tex]1.5\times10^8[/tex] miles.
Distance from Earth to the sun is [tex]5.196\times10^9[/tex] miles.
Number of times farther is it from Neptune to the sun= [tex]\dfrac{\text{distance from Neptune to the sun}}{\text{distance from Earth to the sun}}[/tex]
[tex]=\dfrac{5.196\times10^9}{1.5\times10^8}\\\\=\dfrac{5.196}{1.5}\times10^{9-8}\\\\= 3.464\times10=34.64[/tex]
Hence, Neptune is 34.64 times farther than Earth from the sun.
The comparison of the distances between Earth and Sun, and Neptune and Sun is needed.
Neptune is [tex]34.64[/tex] times the distance between Earth and Sun.
[tex]d_{es}[/tex] = Distance between Earth and Sun = [tex]1.5\times 10^8\ \text{miles}[/tex]
[tex]d_{ns}[/tex] = Distance between Neptune and Sun = [tex]5.196\times 10^{9}\ \text{miles}[/tex]
Dividing the given distances
[tex]\dfrac{d_{ns}}{d_{es}}=\dfrac{5.196\times 10^{9}}{1.5\times 10^8}\\\Rightarrow d_{ns}=34.64d_{es}[/tex]
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