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An astronomer estimated the distance from Earth to Mercury to be 5. 7 × 107 miles, and the distance from Earth to Neptune to be 2. 7 × 109 miles. He wanted to know how many times farther it is from Earth to Neptune than from Earth to Mercury. Consider his work. 1. (2. 7 × 109) (5. 9 × 107) 2. ( 3. 0 6. 0 ) ( 109 107 ) 3. 0. 5 × 102 The astronomer concluded that the distance in miles from Earth to Neptune is 50 times the distance from Earth to Mercury. Is he correct? If not, what was his mistake? Yes, he is correct. No, the numerator and denominator need to be switched in the expression. No, he needed to round down in his estimation of the coefficients. No, he needed to multiply the coefficients.

Respuesta :

If  distance from Earth to Mercury to be [tex]5.7\times10^7[/tex] miles, and the distance from Earth to Neptune to be [tex]2.7\times10^9[/tex]  miles. Hence we got that  distance in miles from Earth to Neptune is  almost 50 times the distance from Earth to Mercury. Hence He is correct.

What is ratio?

A ratio is a comparison of two similar quantities obtained by dividing one quantity by the other

Here given that

distance between Earth and Mercury  [tex]5.7\times10^7[/tex] miles =a (let says)

and  distance between Earth and Neptune is [tex]2.7\times10^9[/tex] miles =b(let says)

So ratio of distance between  earth to  Neptune and earth to Mercury can be calculated as

[tex]\frac{b}{a} =\frac{2.7\times10^9}{5.7\times10^7} \\\\\\\\\frac{b}{a}= \frac{2.7\times100}{5.7} \\\\\frac{b}{a} =47.36\\[/tex]

Rounding up

[tex]b/a=50[/tex]

If  distance from Earth to Mercury to be [tex]5.7\times10^7[/tex] miles, and the distance from Earth to Neptune to be [tex]2.7\times10^9[/tex]  miles. Hence we got that  distance in miles from Earth to Neptune is  almost 50 times the distance from Earth to Mercury. Hence He is correct.

To know more about ratio visit :https://brainly.com/question/2328454

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