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

Answer:

15×10^4

OR

150000

Step-by-step 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 =

$5 \times 10^-^2 \times x=7.5 \times 10^3$

Solve the equation

$5\times \:10^{-2}x=7.5\times \:10^3\\\\10^3=1000\\\\5\times \:10^{-2}x=1000\times \:7.5\\\\\mathrm{Multiply\:the\:numbers:}\:7.5\times \:1000=7500\\\\5\times \:10^{-2}x=7500\\\\Simplify\:5\times \:10^{-2} :\:\frac{1}{20} \\\\\frac{1}{20}x=7500\\\\\mathrm{Multiply\:both\:sides\:by\:}20\\\\20\times \frac{1}{20}x=7500\times \:20\\\\Simplify\\\\x=150000\\\\x = 15\times 10^4$