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a train stops at Atherton , then at Belmont , and then at Carson. The distance from Atherton to carson is 13 miles, at the distance from Atherton to Belmont is 10 2/3 miles . Estimate the distance from Belmont to Carson

Answer :

Answer: Distance from Belmont to Carson is [tex]2\dfrac{1}{3}\ miles[/tex]

Step-by-step explanation:

Since we have given that

Distance from Atherton to Carson = 13 miles

Distance from Atherton to Belomont = [tex]10\dfrac{2}{3}=\dfrac{32}{3}\ miles[/tex]

Now, the distance from Belmont to Carson is given by

Distance from Atherton to Carson - Distance from Atherton to Carson

[tex]13-\dfrac{32}{3}\\\\=\dfrac{39-32}{3}\\\\=\dfrac{7}{3}\\\\=2\dfrac{1}{3}\ miles[/tex]

Hence, distance from Belmont to Carson is [tex]2\dfrac{1}{3}\ miles[/tex]

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