Given :
New York City has a population of 8.55 million and 300 square mile area .
Manhattan has 1.64 million and 23 square miles area .
To Find :
How much greater is the population density of Manhattan than New York City.
Solution :
Population density of New York City :
[tex]D_{NY}=\dfrac{8.55}{300}=0.029 \ million/mile^2\\\\D_{M}=\dfrac{1.64}{23}=0.071 \ million/mile^2[/tex]
Now ,
[tex]D_{M}-D_{NY}\\\\(0.071-0.029)=0.042\ million/miles^2[/tex]
Therefore , population density of Manhattan is [tex]0.042\ million/miles^2[/tex] greater than New York City .
Hence , this is the required solution .
K
(
28) cm
V
1 cm
M
Han
56x-5
1.5 cm
W
Given that figure JKLMNWWXYZ. Find the value of y
Answer:
[tex] \boxed{\sf y = 6 \ cm} [/tex]
[tex] \boxed{\sf x = 25 \degree} [/tex]
Step-by-step explanation:
It is given that JKLMN [tex] \sim [/tex] VWXYZ
So, from this we can say that:
JK [tex] \sim [/tex] VW & ∠LMN [tex] \sim [/tex] ∠XYZ
i.e.
(2y - 8) cm = 4 cm & 4x° = 5(x - 5)°
Solving for y:
⇒2y - 8 = 4
Adding 8 to both sides:
⇒2y - 8 + 8 = 4 + 8
-8 + 8 = 0:
⇒2y = 4 + 8
4 + 8 = 12:
⇒2y = 12
Dividing both sides by 2:
⇒[tex] \sf \dfrac{2y}{2} = \dfrac{12}{2} [/tex]
[tex] \sf \dfrac{2}{2} = 1: [/tex]
⇒y = [tex] \sf \dfrac{12}{2} [/tex]
[tex] \sf \dfrac{12}{2} = 6: [/tex]
⇒y = 6 cm
Solving for x:
⇒4x° = 5(x - 5)°
Expanding right hand ride expression:
⇒4x° = 5x° - 25°
Adding 25° to both sides:
⇒4x° + 25° = 5x° - 25° + 25°
25° - 25° = 0°:
⇒4x° + 25° = 5x°
⇒5x° = 4x° + 25°
Substracting 4x° from both sides:
⇒5x° - 4x° = 4x° - 4x° + 25°
4x° - 4x° = 0°:
⇒5x° - 4x° = 25°
5x° - 4x° = x°:
⇒x° = 25°
Find the length of the base of the following pyramid, given the height of the pyramid is 211 meters and the angle of elevation of the base of the
pyramid is 62. Round to the nearest whole number. (4 points)
h = 211 m
62
length of the base
Answer:
224 meters
I took the test, and got it right.
Answer:
224 meters
Step-by-step explanation:
Have a great day!
If: AB= 2x + 6, AC = 51, and BC=6x +5, Find BC.
Answer:
Assuming A, B, and C are collinear and B is between A and C then BC = 35Step-by-step explanation:
Assuming A, B, and C are collinear and B is beetween A and C
AB + BC = AC
2x + 6 + 6x + 5 = 51
8x + 11 = 51
8x = 40
x = 5
BC = 6x+5 = 6×5 + 5 = 35
1. Rotate segment C D 180° around point D.
2. Rotate segment C D 180° around point E.
3. Rotate segment C D 180° around point M
Rotating CD 180 degrees around the point D would mean rotating it to the other side of D, in other words, rotating it clockwise. The new line would be D->M->C
Rotating CD 180 degrees around the point E would mean rotating it clockwise till "E" is a point of the line. The new line would be E->M->D.
Rotating CD 180 degrees would keep the line in the same position right now but with CD being in different order. The new line would be D->M->C.
Best of Luck!
How is the expression 7^-4 written using a positive exponent?
Fuji apples cost $3.00 per pound, and Golden Delicious apples cost $2.00 per pound. A childcare center purchases 30 pounds of a combination of the two types of apples for a total of $80. A table titled Apples showing Pounds, Cost per Pound and Total. The first row shows Fuji and has 30 minus g, 3, and x. The second row shows Golden Delicious, and has g, 2, and blank. The third row shows Total, and has 30, blank, 80. Which value could replace x in the table?
Answer:
3(30 - g)
Step-by-step explanation:
# of pounds of Fuji apples = (30 - g)
Cost per pound of Fuji apples = $3 per pound
Total cost of (30 - g) pounds of Fuji apples = 3 * (30 - g)
= 3(30 - g)
Answer:
B. 3(30-g)
Step-by-step explanation:
Got it correct on edg2020
Rearranging Equations: Solve the equation for y: 8x + y = 14 Solve the equation for x: -9x + 3y = 18
Answer:
y=14-8x
x= -2 + 3y/9x
Step-by-step explanation:
8x+y=14
isolate y so you get:
y=14-8x
-9x+3y=18
isolate x so you get:
-9x=18-3y
divide on both sides to get x by itself
-9x/-9x 18-3y/-9x
x= -2 + 3y/9x
Hope this helps :)
01:38:56
What is the scale factor of a triangle with a vertex of A(-6, 4) that has been dilated with a center of dilation at the origin so
the vertex of its image is A'(-24, 16)?
Answer:
Answer: The scale factor of the triangle is 4
Step-by-step explanation:
MP=Rs540,discount=5%
Answer:
hi rojithapo
Step-by-step explanation:
my name is Naveen I am indian not China
my look like China boy
I NEED HELP IMMEDIATELY PLZ!
Answer:
f ( x ) = [tex]x^{3}[/tex] − 2 [tex]x^{2}[/tex] + x + C
help please thanks.
Answer:
it would be -18 then 17 cause u distribute the negative sign
Dan earns £400 over the course of a five-day week. How much is that per day?
Answer:
80
Step-by-step explanation:
Answer:
80 dollars a day
Step-by-step explanation:
400 divided by 5
= 80
hope this helps
0.2- 4/10 - 1.625=???
Answer:
-1.825
Step-by-step explanation:
Just subtract!
(2,2), (-3,3) find the distance between the two points round to the nearest tenth.
Answer :
[tex]d = \sqrt{26} [/tex]
2) I have two consecutive numbers. The difference of 4 times the first and 3 times the second number is negative 25. What is the value of your two numbers?
Answer:
31
Step-by-step explanation:
Answer:
Step-by-step explanation
The anwser should be 30 or 37 because 4 times 3 is 12 then plus 25 is 37If noah eats 1/3 of an apple in 1/6 mintues how much willi it take to eat a full apple.
Answer:
30 Minutes
Step-by-step explanation:
1/6 = 10 minutes
so if he eats a third every ten minutes then it will take him 30 minutes
Sonya buys four pairs of shoes on sale for buy one, get one 50% off. The sales tax is 6.5%. If the original price for each pair of shoes was $35, how much does Sonya pay for the four pairs altogether?
Answer:
$111.83
Step-by-step explanation:
2 pairs would be original price (35) and 2 would be half off (17.5)
35 + 35 + 17.5 + 17.5= $105
sales tax = 6.5 %
$105 * 6.5 % = 6. 825
$105 + 6.825= 111.825
round up since you cant have 825 cents
$111.83
PLEASE HELP! I’m so confused and i’ve already tried and gotten wrong.
30 points
Answer:
if there was a 15% discount, then you paid 75% of the original price. Since we don't know the orginal price, we will assign it the variable x. Change 75% to a decimal. The equation would be:
.75x = 208.25 To get the variable by itself, divide each side by .75
.75x/.75= 208.25/.75
x = 277.6
The original price of the suit was $277.6
I hope this helped you.
Based on the above table, which occupation listed is projected to have the greatest total number of jobs in 2016? a. Network systems and data communications analysts b. Personal and home care aides c. Home health aides d. Personal finance advisors
Answer:
c. home health aide
Step-by-step explanation:
Answer:
its C, home health aids
Step-by-step explanation:
Which statement correctly describes a characteristic that a scientific
measuring tool should have?
A. To be accurate, it must be able to give consistent measurements
of a quantity
B. To be accurate, it must be able to make measurements using very
small units.
C. To be accurate, it must be able to make measurements that are
close to the actual value.
D. To be accurate, it must be able to make measurements using very
large units.
M
Answer:
I want to say your answer is option B.
Characteristics of a scientific measuring tool consist of:
Measure Ability
Usability
Validity
Reliability
Practicability
Essentially the measuring tool needs to be accurate.
Looking at the options, the answer that fulfills these requirements is Option A.
Best of Luck!
Cole ordered football equipment containing 20 items that cost $477. The equipment
included footballs and gloves. If the footballs, f, cost $27 and the gloves, g, cost $18,
which of the following systems of equations can be used to determine the number
footballs and gloves Cole ordered?
Answer:
wow to hard dis might take a while
5.) Solve the equation below
X/19=4
Answer:
76
Step-by-step explanation:
multiply 19 and 4 to get 76. If you plug in 76 as x you can check to see if it's true
. Joseph tweets 1 3 times a day. Define each variable and write an algebraic expression to describe the number of posts after any given number of days
Given :
Joseph tweets 13 times a day.
To Find :
An algebraic expression to describe the number of posts after any given number of days.
Solution :
Let, number of tweets after x days are y.
Let, the relationship is , y = mx + c.
For, x = 1
13 = m +c ...... 1)
x = 2
26 = 2m + c .......2)
So, m = 13 and c = 0.
Therefore, algebraic expression to describe the number of posts after any given number of days is y = 13x.
Hence, this is the required solution.
if a =1 + r + 7r and b = 1 -r ,find an expression that equals A+ 3B in standard form. Answer:
Answer:
A+3B=4+5r
Step-by-step explanation:
Given that,
A = 1+r+7r
B = 1-r
We need to find an expression that is equal to A+3B.
Putting the values of A and B in A+3B, we get :
A+3B = 1+r+7r + 3(1-r)
=1+8r+3-3r
=(1+3) +(8r-3r)
=4+5r
Hence, the values of A+3B equals 4+5r.
Solve the equation below 7a=56
Answer:
a=8
Step-by-step explanation:
What is the space between two rays with the same endpoint?
Answer:
Two rays that share the same endpoint form an angle. The point where the rays intersect is called the vertex of the angle. The two rays are called the sides of the angle. An angle is also the space between the sides.
Step-by-step explanation:
Which does Not round to 200?
163
266
150
221
Answer:
266
Step-by-step explanation:
Answer quick plzz...........................
Answer:
.
Step-by-step explanation:
in a grocery store, a P250.000 case of soft drinks is labelled, "get a 20% discount" what is the discount? what is the price of the case of soft drinks?
with solution
14x – 34 = 11x + 29
x=
Answer:
-1.31
Step-by-step explanation:
14x - 11x - 29x = 34
-26x = 34
x = 34/ -26
x= -1.31