Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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.

Sagot :

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

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.