As of 2016 New York City has a population of 8.55 million and a land area of 300 square miles. Manhattan is a section of New York City that has a land area of 23 square miles and a population of 1.64 million. How much greater is the population density of Manhattan than that of New York City?

The difference between the population densities of Manhattan and New York is 42,804 people per square mile.

The density of New York is:

= Population / Area

= 8,550,000 / 300

= 28,500 people per square mile

Density of Manhattan:

= 1,640,000 / 23

= 71,304 people per square mile

The difference is:

= 71,304 - 28,500

= 42,804 people per square mile

In conclusion, Manhattan's population density is 42,804 people per square mile higher than New York City's.

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42,804.35 million people per miles

Step-by-step explanation:

Population density = Number of people / Land area

New York

Population = 8.55 million

Land area = 300 square miles

Manhattan

Population = 1.64 million

Land Area = 23 Square miles

Population density of New York = Number of people / Land area

= 8.55 million / 300 Square miles

= 8,550,000 / 300

= 28,500 people per square miles

Population density of Manhattan = Number of people / Land area

= 1.64 million / 23 miles

= 1,640,000 / 23

= 71,304.35 million people per square miles

Difference between Manhattan and new York City = 71,304.35 - 28,500

= 42,804.35 million people per miles

Therefore,

The population density of Manhattan is greater than that of New York City by 42,804.35 million people per miles

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1