Answer:
15×10^4
Step-by-step explanation:
Length of New York City = [tex]5\times 10^-^2\: miles[/tex]
The distance from New York City to Mumbai, India = [tex]7.5\times 10^3[/tex]
The distance from New York City to Mumbai is about how many times the length of a New York City north-south block? can be translated into the equation :
[tex]5 \times 10^-^2 \times x=7.5 \times 10^3\\[/tex]
To solve the equation ,
[tex]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[/tex]
