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The distance from the earth to Pluto is 4.67x10^9 mi, If a new flying machine can travel 1.92x10^5 miles per year, how many years would it take to reach Pluto? Write your answer in standard form, rounded to the nearest year.

Respuesta :

24333 years

Explanation

to solve this we need to use the time formula ,it says

[tex]time=\frac{distance}{speed}[/tex]

Step 1

a)given

[tex]\begin{gathered} distance=4.67*10^9\text{ miles} \\ speed=1.92*10^5\text{ }\frac{miles}{year} \end{gathered}[/tex]

b) now, replace in the formula and calculate

[tex]\begin{gathered} time=\frac{distance}{speed} \\ time=\frac{4.67*10^9}{1.92*10^5}=2.43*10^{9-5}=2.43*10^4 \\ time=2.43*10^4\approx24333\text{ years} \end{gathered}[/tex]

therefore, the answer is

24333 years

I hope this helps you

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