Question

The length of a city block running north to south in New York City is about 5x10^-2 miles. The distance from New York City to Mumbai, India, is about 7.5x10^3 miles. The distance from new York City to Mumbai is about how many times the length of a New York City north-south block?

Show your work

I hate these idiotic math question the school makes me do.

Answer 1

15×10^4

OR

150000

Explanation:

Length of New York City Block = 5×10^-2

Distance from New York to Mumbai = 7.5×10^-3

The distance from new York City to Mumbai is about how many times the length of a New York City north-south block =

`5 * 10^-^2 * x=7.5 * 10^3`

Solve the equation

`5* \:10^(-2)x=7.5* \:10^3\\\\10^3=1000\\\\5* \:10^(-2)x=1000* \:7.5\\\\\mathrm{Multiply\:the\:numbers:}\:7.5* \:1000=7500\\\\5* \:10^(-2)x=7500\\\\Simplify\:5* \:10^(-2) :\:(1)/(20) \\\\(1)/(20)x=7500\\\\\mathrm{Multiply\:both\:sides\:by\:}20\\\\20* (1)/(20)x=7500* \:20\\\\Simplify\\\\x=150000\\\\x = 15* 10^4`