PLZ HELP ASAP BRANILIEST!!!! Seven hundred people are gathered in a trapezoidal park with bases measuring 50 yards and 90 yards and a height of 50 yards.

Find the population density of the park.

The population density of the park is ______ people per square yard.

Find the population density if the bases and height are halved.


The population density of the park if the bases and height are halved is
________people per square yard.

Answers

Answer 1

Answer:

0.2, 0.8

Step-by-step explanation:

The area of the park is 0.5h(b1 + b2), where h is the height, b1 is the first base, and b2 is the other base.

Plug the values in:

Area = 0.5(50)(50+90) = 0.5(50)(140) = (50)(70) = 3500

Since 700 people are in the park, there is 700/3500 = 0.2 people per square yard.

If the bases and height are halved, the new area is:

Area = 0.5(25)(25+45) = (35)(25) = 875

The new population density is 700/875 = 0.8 people per square yard.


Related Questions

A movie rental store, Frank's Movies, offers customers two choices. Customers can pay a yearly membership of $45 and then rent each movie for $2, or they can choose not to pay the membership fee and rent each movie for $3.50. How many movies would you have to rent before membership becomes the cheaper option?

Answers

Answer:

13

Step-by-step explanation:

$45=3.50x

divide both sides by 3.50

13 movies (rounded to nearest whole number)

If you horizontally stretch the quadratic parent function, f(x) = X^2 by a factor
of 5, what is the equation of the new function?

Answers

9514 1404 393

Answer:

  g(x) = x^2/25

Step-by-step explanation:

For a horizontal stretch by a factor of k, x is replaced by x/k.

  g(x) = f(x/5) = (x/5)^2 = x^2/25

The new function is ...

  g(x) = x^2/25

20 points
3. A suitcase measures 24 inches long and the width is 18 inches long.
How much ribbon is needed to go down both sides of the suitcase
diagonally? (Hint: Draw a picture and add both diagonals together.)

Answers

Answer:

60in

Step-by-step explanation:

Given data

Length= 24 in

Width = 18 in

Diagonally, we need to find using the Pythagoras theorem

D^2= L^2+W^2

D^2= 24^2+18^2

D^2= 576+324

D^2= 900

Square both sides

D= √900

D= 30 in

For both sides

=30*2= 60in

Does 3 work as a solution to the following inequality? 2n > 6

Answers

Answer:

No.

Step-by-step explanation:

If n=3 the only thing you get is 6, which is not more than 6.

marking brainliest hurrrryryyyyyyy

Answers

Answer:

385.875 cm^3

Step-by-step explanation:

3.5/2 = 1.75

3.5^2 - 1.75^2 = 9.1875

3.5 * 9.1875/2 = 16.078

16.078 * 6 * 4 = 385.875

Mary simplified the math expression below. The steps that she took are shown. Which is the line where Mary first made her mistake. Line A: – 6 + 9 Line B: [8 + 5 x 3] – 6 + 9 Line C: – 6 + 9 Line D: 23 – 6 + 9 Line E: 23 – 15 Line F: 8

Answers

Answer:

Line E

Step-by-step explanation:

Given

The instructions in the question

Required

The first line of mistake

The question has missing details, as the original expression is not given;

Reading through the question, one can observe that, Mary made a mistake at Line E.

The expression on D is:

[tex]23 - 6 + 9[/tex]

The expression on E is:

[tex]23 - 15[/tex]

The actual result of D is:

[tex]23 - 6 + 9 = 23 + 3[/tex]

not

[tex]23 - 15[/tex]

Because:

[tex]-6 + 9 = 3[/tex]

[tex]-6 + 9 \ne 15[/tex]

With the available information, we can conclude that Mary's first mistake is at line E

PLSS QUICK
Solve (x+2<5)∩(x-7>-6)

Answers

Answer:

the answer is {x| 1<x<3}

Answer:

# 3

Step-by-step explanation:

right side is x>1

left side is  x<3

FIND THE SURFACE AREA. I WILL MARK YOU A BRAINLEST IF THE ANSWER IS RIGHT

Answers

Answer:

SA= 222cm ^2

Step-by-step explanation:

Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)

Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8

                                      = 30

Area of the base = 8×5 - 2×2 = 36 cm²

Surface area of the prism = 30×5 + 2×(36)= 222 cm²

URGENT!!! NEED ASAP!!! TIMED TEST!!!
Given: x + 2 < -5.
Choose the solution set.
{x | x ∈ R, x < -3}
{x | x ∈ R, x < 3}
{x | x ∈ R, x < -7}
{x | x ∈ R, x < 7}
(Please answer as soon as you can!!)

Answers

Answer:

ok the answer is 10

Step-by-step explanation:

Just put 10 lol

Which of the following does not represent
function of x?

Answers

Answer:

F

Step-by-step explanation:

The x and y do not match up

Answer:

It is F.

Step-by-step explanation:

It is F because all the x's are the same as that cannot happen.

60 points Math
Question 2 of 10
Select the two values of x that are roots of this equation.

Answers

☁️Answer☁️

The answers are -1+ square root of 7 and -1- square root of 7. In other words the answers are options B and D.

Hope this helps ;)

Answer:

B and D

Step-by-step explanation:

Solve the equation by completing a square:

x² + 2x - 6 = 0x² + 2x + 1 - 7 = 0(x + 1)² = 7x + 1 = ±√7x = -1 ± √7

Correct choice:

B and D

Please help with 1234, due tonight would mean everything! Will give brainly!!

Answers

Answer: For 1, the answer is B since there is no rational number for sqrt17.

For 2, the answer is C since it has to be less than 11 whose square is 121 and larger than 10 whose squre is 100.

For 3 the answer is B. Just plug the x value into the equation. => y=1/2(-1)-2 => y= -1/2-2 => -2 1/2.

For 4 the answer is A because the graph first goes up then stys their staticly for a while then plumets down. It fits the description of the first one.

Step-by-step explanation:

Have a nice day, I hope next time you can solve it yourself! :D

PLZ HELP ASAP I'LL GIVE BRAINLY sketch the solution set to the system of inequalities shown below

x≥2
y
is the point (5,10) a solution to the system? justify.

Answers

Answer:

hi! you can use desmos graphing calculator to help you graph these- just look it up and plug the equation in. its nice for future use as well.

Step-by-step explanation:

and no , (5,10) isn't a solution to the equation because it falls under x≥2 but not under y<x+3. Hope this helps !

For a school project, Sarah plans to build a scale model of an Egyptian pyramid. She will be using a scale of: 1 cm = 5 meters.

If the pyramid is 140 meters tall, how tall will her model pyramid be?
A.
56 centimeters
B.
28 centimeters
C.
32 centimeters
D.
28 meters

Answers

Answer:

B

Step-by-step explanation:

you divide 140 by 5 so 28 is the answer

B .28cm

Step-by-step explanation:

if 1cm=5m

then,140=×

1cm=5cm

cross multiply to get;

140÷5=28(cm)

=28cm

What is the slope of the line represented by 5x - 12y = 24?

Answers

Answer: 5/12 or option J

Please Help me with this question. Needs to be the correct answer.

Answers

Answer:

the answer is 216 sq m

Step-by-step explanation:

What is the value of the expression below when y=7?


y2+5y+6

Answers

Answer:

90

Step-by-step explanation:

y^2 + 5y + 6 =

(7)^2 + 5(7) + 6 =

49 + 35 + 6 =

84 + 6 =

90

7^2 + 5(7) + 6

49 + 35 + 6

90

(Will Give Brainliest)

Answers

Answer:

A. (-4, -4)

Step-by-step explanation:

According to the word problem, a dilation of (0.75x, 0.75y) is applied to a triangle.

This means the original coordinates were enlarged/multiplied by 0.75.

We can multiply the coordinates at the bottom by 0.75 to see if we get any of the resulting images' coordinates.

OR

We could divide the resulting images' coordinates by 0.75 to see if we get any of the answers on the bottom.

For instance,

(-3, -3)

-3 / 0.75 = -4 (x-coordinate)

-3 / 0.75 = -4 (y-coordinate)

This means (-4, -4) were the original coordinates of (-3, -3) before the dilation of 0.75.

i need help pls (づ。◕‿‿◕。)づ

Answers

Answer:

no shortcuts can be used

Answer:

You need to multiply the number of choices in both sets.

Step-by-step explanation:

For example, you have an outcome being 4. You need to multiply the two numbers to get the outcome. Same with the rest of the outcomes in the chart.

Hope this helps!

Who can do this whoever best explains is I'll give you brainliest pls asap

Answers

9514 1404 393

Answer:

  -3x³y∛9

Step-by-step explanation:

The expression can be simplified by removing perfect cubes from under the radical.

  [tex]\sqrt[3]{-243x^9y^3}=\sqrt[3]{(-3x^3y)^3\cdot9}=\boxed{-3x^3y\sqrt[3]{9}}[/tex]

__

It helps to realize that 243 = 3^5 = (3^3)(3^2).

Point A is located at (-5, 2) on a coordinate grid. Point A is translated 4 units to the right and 2 units down to create point A.
Which measurement is closest to the distance between point A and point A' in units?
A)
4.1 units
B)
4.3 units
o
4.5 units
D)
4.7 units
We

Answers

the correct solution is A thanks

One interior angle of a triangle is 60'. The other angle measures are x' and y'. Which of the following could be the values of x
and y? Select all that apply.
A x = 50, y = 90
B. * = 100, y = 20
C. x = 45, y = 45
D. X = 40, y = 80
E. x = 60, y = 60

Answers

Answer:

B. x = 100, y = 20

D. X = 40, y = 80

E. x = 60, y = 60

Step-by-step explanation:

The sum of interior angles of a triangle = 180°

From the above question, one of the angles = 60°

The value for the two other interior angles = 180° - 60° = 120°

Hence, the following options could be the values of x and y is given as x + y = 120

Therefore,

B. x = 100, y = 20

D. X = 40, y = 80

E. x = 60, y = 60

50 Points!!!!!!!!
A shipping container is in the shape of a right rectangular prism with a length of 2
feet, a width of 5 feet, and a height of 1.5 feet. The container is completely filled with
contents that weigh, on average, 0.72 pound per cubic foot. What is the weight of the
contents in the container, to the nearest pound?

Answers

Answer:

102 pounds

Step-by-step explanation:

Help ASAP with c....

Answers

Answer:

(7,0)

Step-by-step explanation:

consider the following equations: -x-y=1 y=x+3 if the two equations are graphed, at what point do the lines representing the two equations intersect? (-1,2) (-2,1) (1,-2) (2,-1)

Answers

Answer:

(-2, 1)

Step-by-step explanation:

consider the following equations: -x-y=1 y=x+3

For the lines to intersect, the  values must be the same

-x-y=1

x + y = -1

y = -x - 1

Equating the y values

-x - 1 = x+ 3

-x-x = 3 + 1

-2x = 4

x = 4/-2

x = -2

Substitute x = -2 into y = x+3

y = -2 + 3

y = 1

Hence the required coordinate is (-2, 1)

Ok my question says "destiny and carla had a total of 3 gallons of paint to share for a project they had 1 gallon each yellow blue and red paint destiny used 3/8 gallon of yellow paint 1/2 of blue paint 1/4 of red paint carla used 1/4 of yellow 3/8 of blue and 1/4 of red then part a ask how much more paint in gallons did destiny use than carly

Answers

Answer: 1/4

Step-by-step explanation:

Since Destiny used 3/8 gallon of yellow paint, 1/2 of blue paint and 1/4 of red paint, the total paint used will be:

= ⅜ + ½ + ¼

= 3/8 + 4/8 + 2/8

= 9/8

= 1 1/8

Carla used 1/4 of yellow, 3/8 of blue and 1/4 of red. The total paint used will be:

= 1/4 + 3/8 + 1/4

= 2/8 + 3/8 + 2/8

= 7/8

The numybe of paint that Destiny use more than Carla will be:

= 1 1/8 - 7/8

= 2/8

= 1/4

Destiny used 1/4 paint more than Carla

Find the area of the parallelogram, 22mm 11mm. Please help im stu-pid

Answers

The total area of the parallelogram is 242

Step by step:

A = b h = 22 x 11 = 242

Help me please! I need to get this done by today! I am doing ratios and rates! I will also make you the brainlest


Instructions: Write the solution of your answer, and how do you know and you can do it on paper too.


NO WEBSITES!

Answers

Step-by-step explanation:

Students Hours

52 8

X 6

So,

52×6=8×x

312=8x

312/8=x

39 Students Answer

Answer:

39 students

Step-by-step explanation:

52 students/8 hours times =6.5 students per hour

6.5 students per hour x 6 hours = 39 students

Shante has 120 books in her book collection. 60% of her books are nonfiction. How many books are fiction

Answers

Answer:

72

Step-by-step explanation:

72

60 x 120

100

= 72

Collecting and Distributing

Solve the problem below:

-b + 5b + 4a(a - 6)​

Answers

Answer is

Step by step exploration

-b+5b+4a(a-6)=4b+4a^2-24
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