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?​

Answers

Answer 1

Answer:

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

Answer 2

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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Related Questions

Solve the equation. Check the solution.
8- 2x - 5- 13x = 6

Answers

Answer:

see below

Step-by-step explanation:

8- 2x - 5- 13x = 6

Combine like terms

-15x+3=6

Subtract 3 from each side

-15x+3-3=6-3

-15x = 3

Divide each side by -15

x = 3/-15

x = -1/5

Check

8 - 2(-1/5) -5 -13(-1/5) = 6

8 + 2/5 -5 +13/5 = 6

3 + 15/5 = 6

3+3=6

6=6

1. Simplify the expression. 3[(11–6)2+5]
A 5
B 3
C 15
D 6

Answers

Answer:

3 is the answer

mutiply and open bracket minus each other

What will be the unit digit of the cube of a number ending with 4 ?

Answers

Answer:

Step-by-step explanation:

4

unit digit=4

cube=64

What is a strategy that you can use when you are adding and subtracting more than 2 integers? What is your process? Example: -2 + -8 --5 +3 =​

Answers

Answer: i just add 2 integers as i go

Step-by-step explanation: like for that problem i would go -2 +-8 is -10 then do -10 --5 which is -5 then do -5 +3 which is -2.

X+5x;x=5 A.30 B.25 C.5 D.20

Answers

Answer:

A

Step-by-step explanation:

x+5x if x =5 replace the variable with the key (x=5)

so now the problem reads

5+5*5

acording to oder of operations u do multipcaion 1rst

5+25

30

so ur answer is 30

in the end step by step looks like this

x+5x if x =5

5+5*5

5+25

30

Thanks for the help, question below :)

Answers

Hello, please consider the following.

[tex]x^2-6x=-5\\\\\text{We add 5 to both sides of the equation}\\\\x^2-6x+\boxed{5}=-5+\boxed{5}=0\\\\\text{The answer to a) is then c = 5.}\\\\\text{We complete the square by noticing that }\\\\x^2-6x=x^2-2*3*x=(x-3)^2-3^2\\\\\text{So the main equation becomes.}\\\\x^2-6x+5=(x-3)^2-9+5=0\\\\\text{We simplify.}\\\\(x-3)^2-4=0[/tex]

[tex]\text{We add 4 to both sides.}\\\\(x-3)^2=4=2^2\\\\\text{The answer to b) is then}\\\\\boxed{(x-3)^2=4}\\\\\text{We take the root.}\\\\x-3=\pm2\\\\<=> x =3+2=5 \ \ or \ \ x=3-2=1\\\\\text{So the solutions are.}\\\\\Large \boxed{\sf \bf \ \ x=5 \ \ or \ \ x=1 \ \ }[/tex]

Thank you.

If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23.Find the sum of all the multiples of 3 or 5 below 1000.

Answers

Given :

All the natural numbers below 1000 that are multiples of 3 or 5 .

To Find :

The sum of all the multiples of 3 or 5 below 1000.

Solution :

Max multiple of 3 is 999 .

Max multiple of 5 id 995 .

So , number of multiple of 3 is :

[tex]999=a+(n-1)d\\\\999=3+3(n-1)\\\\n=333[/tex]

Similarly for 5 .

[tex]995=a+(n-1)d\\\\995=5+5(n-1)\\\\n=199[/tex]

Now , sum of all multiple of 3 is given by :

[tex]S_3=\dfrac{n}{2}(2a+(n-1)d)\\\\S_3=\dfrac{333\times (2\times 3+332\times 3)}{2}\\\\S_3=166833[/tex]

Also , sum of all multiple of 5 is :

[tex]S_5=\dfrac{n}{2}(2a+(n-1)d)\\\\S_5=\dfrac{199\times (2\times 5+198\times 5)}{2}\\\\S_5=99500[/tex]

Therefore , total sum :

[tex]T=S_3+S_5\\\\T=166833+99500\\\\T=266333[/tex]

Now , there are some common number which we add two times like :

15 , 30 , 60 ......

So , we should subtract the sum of all multiple of 15 from T .

Now , sum of all multiple of 15 is 33165 .

So ,

[tex]T=266333-33165\\\\T=233168[/tex]

Therefore , the  sum of all the multiples of 3 or 5 below 1000 is 233168 .

-29 = 5u+ 6-12u solve for u

Answers

Answer:

u=5

Step-by-step explanation:

-29 = 5u + 6 - 12u        

-6             -6

-35 =5u - 12u

         -7u

-35 = 7u

-35 divided by 7 to get u by itself equals 5

therefore u =5

Step-by-step explanation:

Reorder the terms:

6+5u+ -12u= -29

u =5

x/w=z/y^2 solve for y

Answers

Answer:

[tex]\Large \boxed{\displaystyle y=\sqrt{\frac{z \cdot w}{x}}}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{w} =\frac{z}{y^2 }[/tex]

Cross multiplication.

[tex]x \cdot y^2 =z \cdot w[/tex]

Dividing both sides by [tex]x[/tex].

[tex]\displaystyle \frac{x \cdot y^2 }{x} =\frac{z \cdot w}{x}[/tex]

[tex]\displaystyle y^2 =\frac{z \cdot w}{x}[/tex]

Taking the square root of both sides.

[tex]\displaystyle \sqrt{y^2 } =\sqrt{\frac{z \cdot w}{x}}[/tex]

[tex]\displaystyle y=\sqrt{\frac{z \cdot w}{x}}[/tex]

Mr. and Mrs. Nelson are going to build a new home. They need to have working drawings of their house plans created by a design firm.
They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for
the initial consultation with the Nelsons, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge
$75.00 per hour for the house plans. Let a represent the number of hours for which Mr. and Mrs. Nelson hire the design firm. Which of the
following statements are true? Select all that apply.

Answers

Answer:

Options 2), 4), and 5) are correct

Step-by-step explanation:

Rock the House Digital Designs

Cost = $(500 + 50h)

Elegant Home Architects

Cost = $(75h)

===========================

Answer options:

1)The expression 50h represents the total charge for Rock the House Digital Designs.

Incorrect. Additional $500 charged.

2)The expression 75h represents the total charge for Elegance Home Architects.

Correct

3)The expression 500 + 75h + 50h represents the total amount the Nelsons will spend working drawings of their new house plans.

Incorrect. They will choose one of the options.

4)If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.

Correct. It will cost 15*75 = $1125. Alternative costs 500 + 50*15 = $1250

5)If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.

Correct. It will cost 500+25*50 = $1750. Alternative cost is 25*75 = $1875

Greg bought a new car for £18000.
In the first year the value of the car depreciates by 30%.
In the second year and the third year the car depreciates by 14%
Work out the value of the car after three years.

Answers

Answer:

£9318.96

Step-by-step explanation:

18000×0.7×0.86^(2)=£9318.96

which represents a function?

Answers

it is B because the x value does not repeat twice

Answer:

the one in the middle

Step-by-step explanation:

why because if you see the x axis when you go over it the one that has a funtion dosent have two of the same number but the one that dosent haves two of the same numbers

what is the answer to 9 + x = −2 for algebra 1?

Answers

Answer:

x = -11

Step-by-step explanation:

Answer:

x = -11

Step-by-step explanation:

9+x=−2

Step 1: Simplify both sides of the equation.

x+9=−2

Step 2: Subtract 9 from both sides.

x+9−9=−2−9

x=−11

Point O is on line segment \overline{NP} NP . Given OP=8OP=8 and NO=2,NO=2, determine the length \overline{NP}. NP

Answers

Answer: The length of [tex]\overline{NP}[/tex] is 10 units.

Step-by-step explanation:

We are given that,

Point O is on line segment [tex]\overline{NP}[/tex] .

Then, [tex]\overline{NP}=\overline{NO}+\overline{OP}[/tex]   (i)

Since we have given that OP=8 units and NO=2 units .

Now we will substitute these values in (i), we will get

[tex]\overline{NP}=8\ units+2\ units\\\\\Rightarrow\ \overline{NP}=10\ units[/tex]

Hence, the length of [tex]\overline{NP}[/tex] is 10 units.


Write an equation and solve: Your math homework has 6 more than three
times the number of problems you have on your history worksheet. If you
have 42 problems to do for math and history, how many math problems do
you have to complete for homework?

Answers

Answer: 33 math problems.

Step-by-step explanation:

Let x = Number of math problems

y= Number of history problems

According to the question , we have

[tex]3y+6=x\ \ \ \ \ (i)\\\\ x+y=42\ \ \ \ (ii)[/tex]

We can rewrite (i) as [tex]x-3y=6[/tex]    (iii)

Now, subtract (iii) from (ii), we get

[tex]y-(-3y)=42-6\\\\\Rightarrow\ y+3y=36\\\\\Rightarrow\ 4y=36\\\\\Rightarrow\ y= \dfrac{36}{4}\\\\\Rightarrow\ y=9[/tex]

Put this in (i), we get

[tex]x=3(9)+6 = 27+6=33[/tex]

Hence, you have to complete 33 math problems.

A watermelon consists of 90% water and 10% pulp. After drying the weight is 20 kg
and 40% water is left. What was the initial weight?​

Answers

Answer: 40kg

Explanation: If 40% water and 10% pulp (Total 50%) is 20kg
Then 90% water and 10% pulp (Total 100%) would be double, so therefore 40kg

To confirm: 10% = 4kg
40kg - 4kg = 36kg
to get from 90% to 40% just divide by 2.25
the answer is 16kg
add on the pulp weight of 4kg = 20kg
Answer: 40kg

Explanation:

Let x be the initial weight:

90% + 10% = x
100% = x

40% + 10% = 20kg
50% = 20kg

=> 100/50= x/20
=> 2 = x/20
=> x = 20 x 2
=> x = 40kg

Therefore the initial weight is 40kg

what is the value of the expression below when z=2?
5z^2-z-4​

Answers

Answer:

14

Step-by-step explanation:

5(2)² - 2 - 4 = 14

The required value of the given expression 5z²-z-4 is 14 when z = 2,

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression. It contains no equality or inequality symbols.

The expression is given in the question below as:

5z²-z-4​

To determine the value of the expression 5z²-z-4 when z=2, we need to substitute 2 for every occurrence of z in the expression and then simplify the expression.

5z²-z-4 when z = 2 is :

= 5(2²)-2-4

= 5(4)-2-4

= 20-2-4

= 14

Therefore, the required value is 14.

Learn more about the algebraic expression here :

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What is the value of x?

Answers

Answer:

x = 15

Step-by-step explanation:

Using the Altitude on Hypotenuse theorem

( leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )

Thus

x² = 9 × (9 + 16) = 9 × 25 = 225 ( take the square root of both sides )

x = [tex]\sqrt{225}[/tex] = 15

150 140 130 120 110 100 90 80 70 60 50 40
11.III
What is the measure of ZJHG?
J
30 20 10
G
H
degrees.
The measure of ZJHG is

Answers

Answer:

The measure of ∠JHG is 70 degrees

Step-by-step explanation:

If you have one of angle's sides by 0° at protractor then the other side crosses the measure of angle.

The measure of ∠JHG is 70°

What are angles?

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle. The word angle comes from a Latin word named 'angulus,' meaning “corner.”

Given: The protractor has a line that coincides with the line that makes an angle of 70° with the base and thus the ∠JHG =70

Hence, The measure of ∠JHG is 70°

Learn more about angles here:

https://brainly.com/question/28451077

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So I keep getting 188 or 88 but I got the reminder right I’m not sure what I did wrong

Answers

Answer:

Step-by-step explanation:

7619 / 7

= 1088 remainder 3.

What is the value of the expression below when x equals 5?

16 + 10x

Answers

Answer:

66

Step-by-step explanation:

Plug in 5 for x

16 + 10(5)

16 + 50 = 66

Answer:

66

Step-by-step explanation:

So we have the expression:

[tex]16+10x[/tex]

To find the value of the expression when x is 5, substitute 5 for x:

[tex]=16+10(5)[/tex]

Multiply:

[tex]=16+50\\[/tex]

Add:

[tex]=66[/tex]

What are families of functions and how are they useful?

Answers

Answer:

Function families are groups of functions with similarities that make them easier to graph when you are familiar with the parent function. They're useful because if you know the parent function, you can figure out another function from there

Step-by-step explanation:

What is the independent and dependent variable? Whats the (x) and (y) axis?

Answers

Answer:

x-axis(independent) = 1.5

y-axis(dependant) = 75ft

Step-by-step explanation:

An INDEPENDENT variable is the variable yourself can not change, in this case its time. The DEPENDANT variable is the variable that is changed to affect data you are solving for. Idk if this helps you at all to understand for future references but i hope it did!

A custom T-shirt shop spent $250 dollars on equipment and has to purchase the T-shirts at a cost of $2 per shirt. Their total cost, C, can be found using the function C=2T+250 Where T is the number of T-shirts they purchase. If the shop purchased 300 T-shirts, how much was their total cost? PLEASE ANSWER BY 11:59 8-28-2020

Answers

Answer:

So we know the shop spent $250 on equipment and they also purchased 300 T-shirts  for $2 each.

Knowing this, we only have to add to the $250, what they have paid for the  T-shirts.

So if each T-shirt is purchased by $2 and they have bought 300, we multiply:

2 * 300 = $600

So we add the $600 spent on T-shirts to the $250:

600 + 250 = $850

We could also have done it with by replacing T for 300 in C = 2T + 250:

C = 2*300 + 250 --> C = 600 + 250 --> C = $850

What is 8 2/5 as a decimal number

Answers

Answer:

8.4

Step-by-step explanation:

8 is a whole njmber, so it stays the same.

2/5 is equivalent to .4, so you put that at the end.

Your answer is 8.4 Hope this helps!

The decimal number is 8.4.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

8(2/5)

= (8 x 5 + 2) / 5

= (40 + 2) / 5

= 42/5

= 8.4

Thus,

The decimal number is 8.4.

Learn more about expressions here:

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The measure of angle 1 is (10 x + 8) degrees and the measure of angle 3 is (12 x minus 10) degrees. 2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 2, 3, 4. What is the measure of angle 2 in degrees?

Answers

Answer:

  82°

Step-by-step explanation:

The given angles are vertical angles, so have the same measure:

  (10x +8) = (12x -10

  18 = 2x . . . . . . . . . . add 10-10x

  9 = x

  10x +8 = 10(9) +8 = 98

So, angles 1 and 3 measure 98°. Angles 2 and 4 are the supplement of this, so ...

  ∠2 = 180° -98° = 82°

Answer:

82

Step-by-step explanation:

Formula: (10x + 8)Angle 1 = (12x - 10)Angle 3

12x - 10x= 8 -(-10)

2x=18

9

you only need to insert the x value (9) into one equation because angles 1 and 3 are CONGRUENT.

(10 x 9) + 8 = ?

90 + 8= 98

and to solve the question, 180 - 98= 82.

82 is the answer

Someone please help me with 1-4!

Answers

for #1- step 1: Simplify using the inverse of addition or subtraction.

step 2: Simplify further by using the inverse of multiplication or division.

Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27, x?

Answers

Answer:

See Explanation

Step-by-step explanation:

The options are not given; however, the solution is as follows;

[tex]3y = 27x[/tex]

Required

Determine relationships with the same constant of proportionality (k)

[tex]3y = 27x[/tex]

Divide both sides by 3

[tex]\frac{3y}{3} = \frac{27x}{3}[/tex]

[tex]y = \frac{27x}{3}[/tex]

[tex]y = 9x[/tex]

The relationship between y, x and k is:

[tex]y = kx[/tex]

Comparing [tex]y = kx[/tex] with [tex]y = 9x[/tex]; then

[tex]k = 9[/tex]

Hence, any of the options with k=9 answers the question.

Take for instance:

[tex]2y = 18x[/tex]

Dividing both sides by 2 gives

[tex]y = 9x[/tex] and hence; [tex]k = 9[/tex]

Answer:

The answers are A B and C

Step-by-step explanation:

I just got it right

In a class of 50 students, 20 play Hockey, 15 play Cricket and 11 play Football. 7 play both Hockey and Cricket, 4 play Cricket and Football and 5 play Hockey and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?

Answers

Answer:

16

Step-by-step explanation:

You add 7, 4 and 5 to get 16.

1) An elevator is on the 15th floor, it goes down 18 floors
and then up 5 floors. What floor is it on now?

Answers

Answer:

It is on floor 2

Step-by-step explanation:

15-18=-3

-3+5=2

hope this helped :)

Answer:

it is on the 2nd floor

Step-by-step explanation: this is because it started at 15, then went down 18: 15-18

     -3

then it went up 5: -3+5  or 5-3

                                to end up at the 2nd floor

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