The question is incomplete. The complete question is :
A map of the Orchid Hill Neighborhood is shown. The population of Orchid Hill Neighborhood is 360 people. The length of each block is the same and the length of 20 blocks is 1 mile.
a). What is the area in square miles of Orchard Hill?
b). What is the population density of the Orchard Hill Neighborhood, given as a number of people per square mile?
Solution :
It is given that :
The total population of Orchid Hill Neighborhood is = 360
The length of 20 blocks = 1 mile
So, 20 blocks = 1 mile
∴ [tex]$1 \text{ block} = \frac{1}{20} \text{ mile} $[/tex]
= 0.05 mile
So the length of the neighborhood is = 4 x 0.05
= 0.20 mile
The width of the neighborhood is = 3 x 0.05
= 0.15 mile
a). Therefore, the area of the Orchid Hill Neighborhood in square miles is
A = length x width
= 0.20 x 0.15
= 0.03 square miles
b). Population density is defined as the number of people living in an unit area.
i.e. [tex]$\frac{360}{0.03}$[/tex]
= 12,000 people per square mile
Mrs. Huffman is buying a dog for her daughter, Anna. The dog can be male or female. It can be a Goldendoodle, Collie, or Retriever. The dog can be small, medium, or large. What is the probability that Anna randomly chooses a male Goldendoodle of any size?
Answer:
1/2
Step-by-step explanation:
there ARE ONLY TWO GENDERS
THE dog can be male or female =
sum genders = 2
probability of been a male = 1/2
The Nisbets went through the drive through
at the donut shop and spent $10.50 on 2
cups of coffee and 4 donuts. Behind them,
the Roys spent $8.25 on 1 cup of coffee and
5 donuts. What is the cost of one cup of
coffee?
Answer:
One cup of coffee is $3.25
Step-by-step explanation:
Create a system of equations where c is the cost of a cup of coffee and d is the cost of a donut
2c + 4d = 10.5
c + 5d = 8.25
Solve by elimination by multiplying the top equation by -5 and the bottom equation by 4
-10c - 20d = -52.5
4c + 20d = 33
Add them together and solve for c
-6c = -19.5
c = 3.25
So, a cup of coffee is $3.25
Please help!!
I don’t know what to do
Answer:
x = 14.4
Step-by-step explanation:
Similar means that the figures are proportional to each other. Because of this, we can form a problem. [tex]\frac{9}{5}[/tex] (the short side lengths) = [tex]\frac{x}{8}[/tex] (the long side lengths). Now we can solve this by cross-multiplying. If we multiply 9 · 8 we get 72, and 5 · x is 5x. 72 = 5x. Now divide both sides by 5. 72 ÷ 5 = 14.4. Therefore, x should be equal to 14.4. Does this make sense?
what is the measure of angel R ? pls i need help
Answer:
40
Step-by-step explanation:
(120 - 40)/2 = 80/2 = 40
Solve for B
a^2+b^2=c^2
if U=π (r+h),find the value of "r" when U=16 whole 1 upon 2 and h=2
Answer:
r = 3 1/4
Step-by-step explanation:
Here, we want to find the value of r given the values
Firstly, we will write r as the subject of the formula
U = π ( r + h)
U/π = r + h
r = U/π - h
Now substitute;
U = 16 1/2 = 33/2
h = 2
π= 22/7
r = 33/2/22/7 - 2
r = (33/2 * 7/22) - 2
r = 21/4 - 2
r = (21-8)/4
r = 13/4 = 3 1/4
b r a i n l i s t to the first person to answer
A rectangle has an area of 1,280.64 square miles and a base of 36.8 miles. What is the height?
Answer:
34.8 miles
Step-by-step explanation:
First, we know that Area = Length * Width. Let's plug in those values.
1,280.64 = x * 36.8 (I put the variable "x" there since we don't know what it is)
Now, solve for x (we want to have x by itself, so divide both sides by 36.8)
34.8 = x
Now that we know that the width of it is 34.8 miles, let's check our work.
34.8 * 36.8 = 1,260.64
This equation IS true, so:
The width of the rectangle is 34.8 miles. Hope this helps!
What is the decimal form of -1 and 1/12?
Answer:
Step-by-step explanation:
1/12 = 0.0833
-1 = 0.000
What is the area of the figure below?
5 in
13 in
12 in
help me this is urgent!!!!!!!
Answer:
t = 7
I hope it's helps you
Which expression is equivalent to 2(3g-4) - (8g+3)?
Answer:
I think -2g+5
Step-by-step explanation:
its distributive property and adding... hope this helped
Find the ratio of the volume of the triangular prism
to the volume of the cuboid,
Give your answer in its simplest form
고
Answer:
The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].
Step-by-step explanation:
Geometrically speaking, the volume of the prism is equal to the product of the area of the base and its height. Then, the volumes of the triangular prism and the cuboid are, respectively:
Triangular prism
[tex]V_{tp} = \frac{1}{2}\times 5\,cm \times 4\,cm \times 9\,cm[/tex]
[tex]V_{tp} = 90\,cm^{3}[/tex]
Cuboid
[tex]V_{c} = 6\,cm\times 5\,cm \times 20\,cm[/tex]
[tex]V_{c} = 600\,cm^{3}[/tex]
Lastly, the ratio of the volume of the triangular prism to the volume of the cuboid is:
[tex]r = \frac{V_{tp}}{V_{c}}[/tex]
[tex]r = \frac{3}{20}[/tex]
The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].
Elsa received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.14 per pound. After buying the coffee, she had $31.16 left on her
card. How many pounds of coffee did she buy?
Il pounds
Answer:
Step-by-step explanation:
80-31.16=48.84 (the amount of the money that Elsa spent)
48.84:8.14=6 (the amount of coffee that she bought)
Determine the area of the parallelogram.use proper units
Answer:
180 in^2
Step-by-step explanation:
to find the height you need to look at the triangle and apply pythagorean theorem
5^2=x^2=13^2
25+x^2=169
x^2=144
x=12
now we can find the area of the parallelogram:
b*h=area
15*12=180 in^2
The area of the parallelogram is 180 in^2
21 m
15 m
Which is closest to the length of XY?
Answer:
18.0 i think
Step-by-step explanation:
What is a simpler form of (3x+1)(x+4) ?
Answer:
That is the simplest form.
Step-by-step explanation:
[tex]3x^2+13x+4[/tex] = (3x+1)(x+4)
Answer:
The equation is already simplified!
Step-by-step explanation:
credits to the user jlinnartz for pointing out my mistake! kudos to the explanation above!!! :)
Barry and Bernice have obtained a 30-year, fixed rate mortgage for $635,250 with a 7.35% interest rate. They purchased 2 points and their rate is now 6.925%. Factoring in the cost of points, when is the break-even point on their mortgage?
2 years, 11 months
3 years, 11 months
5 years, 10 months
2 years, 4 months
Can someone please help me with math.
Answer:
Number 19 is A
Number 18 is C
Number 17 is D
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEEEE
Should be D. if I'm correct. This pair of angles doesn't seem to be in the right position to form a 90 degree or a 180 degree angle, ruling out supplementary and complementary angles, and they definitely aren't vertical angles, leaving only choice D: None of the above.
6th grade advanced / 7th grade khan acadamy
Answer:
Step-by-step explanation:
both A and B are equivalent
3x+3 gbggggggggggggggggggggg
Answer:
I think it is 3(x+1) not sure but try it(it is a graph answer)
The Wilsons have triplets and another child who is 14 years old. The sum of the ages of their children is 38. How old are the triplets? Please give me the equation!! Correct answer will get brainliest
Answer:
Each age of the triplets should be 8 years old.
Step-by-step explanation:
38-14=24
24 divided by 3 = 8
Answer:
Triplets are 8 not sure on the equation but I think its y = 8x + 38.
Step-by-step explanation:
I'm assuming that all their ages together equal 38 therefore I would take,
38 - 14 = 24; this means that the triplets ages added together equal 24. Since triplets means 3 I will take,
24 dived 3 = 8.
I check my work by doing 14 + 8 + 8 + 8 = 38.
you asked for an equation I'm sure what you mean but I can try; I'm putting it into slope intercept form.
y = 8x + 38
Use the distributive property to multiply, combine like terms & find the equations
34(x + 5) - 2(x+5)
Answer:
32+160
Step-by-step explanation:
BRAINLIEST!!! See pic BELOW!!!
Answer:
160° = (10x + 50°) [Vertically Opposite Angles]
[tex]10x + 50 = 160 \\ 10x = 160 - 50 \\ 10x = 110 \\ x = \frac{110}{10} \\ x = 11[/tex]
Option A. 11 is the correct answer.
choosing from a comedy horror or action movie each shown in four different theaters
more slopeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: for me it must be A or C I have a picture how I find my answer.
Step-by-step explanation: Hope this help :D
How would I set this to 0?
Answer:
− 2 sin ( 0 ) ⋅ sin ( 0 ⋅ π /0 m ) + cos ( 0 ) ⋅ cos ( 0 ⋅ π /0 m ) = 0 is not an identity
Step-by-step explanation:
The function f(x) = -5x² + 20x + 55 models the height of a ball x seconds after it is thrown into the air. What is the total time that the ball is in the air?
Answer:
The ball is in the air for about 5.873 seconds.
Step-by-step explanation:
The function:
[tex]f(x)=-5x^2+20x+55[/tex]
Models the height of a ball x seconds after it is thrown in the air.
And we want to find the total time the ball is in the air.
So, we can simply find the time x at which the ball lands. If it lands, its height f above the ground will be 0. Thus:
[tex]0=-5x^2+20x+55[/tex]
We will solve for x. Dividing both sides by -5 yields:
[tex]0=x^2-4x-11[/tex]
The equation is unfactorable, so we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 1, b = -4, and c = -11. So:
[tex]\displaystyle x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-11)}}{2(1)}[/tex]
Evaluate:
[tex]\displaystyle\begin{aligned} x&=\frac{4\pm\sqrt{16+44}}{2}\\&=\frac{4\pm\sqrt{60}}{2}\\&=\frac{4\pm2\sqrt{15}}{2}\\&=2\pm\sqrt{15}\end{aligned}[/tex]
Approximate:
[tex]x_1=2+\sqrt{15}\approx5.873\text{ or } x_2=2-\sqrt{15}\approx-1.873[/tex]
Since time cannot be negative, our only solution is the first choice.
So, the ball is in the air for about 5.873 seconds.
What is the surface area of the solid?
Answer:
120
Step-by-step explanation:
What’s the answer?!!!!!
Answer:
yes
because it has length, side and base
Answer:
No
Step-by-step explanation:
If it is a right angled triangle, then it will satisfy the pythagoras theorem, which is as follows:
Perpendicular² + Base² = Hypotenuse²
{hypotenuse is the longest side in a right-angled triangle}
LHS : Perpendicular² + Base²
(15)² + (10)² = 225 + 100 = 325
RHS : Hypotenuse²
(17)² = 289
LHS ≠ RHS
Does not satisfy pythagoras theorem
So the triangle is not right angled