The figure below shows a circular fountain in a park with a garden to be planted with flowers. The parks department wants to plant groups of 2 flowers in the garden per square foot. Garden 3 feet 18 feet Fountain Which is closest to the number of flowers needed to plant in the garden?
A 71 flowers
B. 141 flowers
C 156 flowers
D 255 flowers
E 284 flowers ​

The Figure Below Shows A Circular Fountain In A Park With A Garden To Be Planted With Flowers. The Parks

Answers

Answer 1

Answer:  The answer is 284.

Step-by-step explanation:

The area of the garden is an annulus whose,  

Outer diameter = 18 ft  

Inner diameter = 18 ft - 2*3ft = 12 ft

Therefore,  

Outer radius = 18/2 = 9 ft  

Inner radius = 12/2 = 6 ft  

 Area of garden = Area of annulus  

 Area of garden = π*(9 ft)2 - π * (6 ft)2

 Area of garden = 142  

 Given:  

2 flowers are planted per square foot.  

 Therefore for 142 ft2,  

Number of flowers required = 2*142 = 284  

 The answer is 284.


Related Questions

How to do the 9 multiplication trick.

Answers

Answer:

0123456789

9876543210

Step-by-step explanation:

09

18

27

36

45

54

63

72

81

90

Answer:

Step-by-step explanation:

for each 9 you add, take away 1 from the first number and add 10, like

81

72

63

52

41

32

23

18

9

Carefully evaluate f (1)

Answers

Answer:

it should be f

Step-by-step explanation:

Solve the system of equations using elimination.

6y−4x=20−4y+3x=−12


(4, 6)

(−4, 6)

(−4, −6)

Answers

Answer: A. (4,6)

Step-by-step explanation: 2(6y−4x = 20)                                                   3(−4y+3x = −12)                                                                                                     −8x+12y = 40                                                                                                     9x−12y = −36                                                                                                   -8x+9x                                                                                                                 +12y-12y                                                                                                               40-36                                                                                                                     x=4                                                                                                                   6y−4x = 20                                                                                                       6y−(4)(4) = 20                                                                                                   6y−16+16 = 20+16                                                                                                 6y/6 = 36/6                                                                                                           y = 6                                                                                                                       x = 4, and y = 6.

The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.

The given system of equations are 6y-4x=20 and -4y+3x=-12.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here,

6y-4x=20 ----------(I) and -4y+3x=-12 ----------(II)

Multiply equation (I) by 3, we get

-12x+18y=60 ----------(III)

Multiply equation (II) by 4, we get

12x-16y=-48 ----------(IV)

Add equation (III) and (IV), that is

-12x+18y+(12x-16y)=60-48

⇒ 2y=12

⇒ y=6

So, 6y-4x=20

⇒ 36-4x=20

⇒ -4x=-16

⇒ x=4

The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

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-8 + x - 2 - 5x
Plssss

Answers

Answer:

-4x-10

Step-by-step explanation:

This is the answer if you are simplifying the expression.

Answer:

−  4    −  8

Step-by-step explanation:

PLEASE HELP. WILL MARK BRANLIEST!!!
Evan is always on the go and lacks the time to search for a parking space in the city. Evan has
most recently started using car-sharing services like Uber and Lyft to get around Nashville. He
maintains a log of each ride to claim the car-sharing charges as a business expense, as shown
below:

A. Sketch a graph of the provided data.( label each axis and provide scaling).
B. Write a linear function to show the relation ship between the two variables. Use the variables d for miles and c for dollars
C. Explain the meaning of each part of your equation In context to the scenario.
D. Evan is trying to determine where to meet a client for a meeting. How far will Evan be able to travel with a budget of $10.00 for a car-sharing ride?
E. Whoops! Evan was in quite the rush and forgot to log the miles for his last trip! How many miles was Evans trip if there was a charge of $17.26 on his credit card for the ride-sharing service?

2. Josh works in the same office as Evan; unfortunately, josh is not very organized, and his ride-share log is incomplete. Use the linear function C=1.20d to complete the chart below:
Distance d in miles,cost c in dollars
4 14.55

11
28.95

Answers

Answer:

 

25 is A , 26 is B , 27 is C , and 28 is C

Step-by-step explanation:

hope this helped

mark me brainilest :D

Answer:

25 is A , 26 is B , 27 is C , and 28 is C

Step-by-step explanation:

Solve for the value of K

Answers

Answer:

k = 5

Step-by-step explanation:

The straight angle is 180º

The right angle is 90º

Therefor

(8k + 1) + 90 + 49 = 180

combine like terms

8k + 140 = 180

Subtract 140 from both sides

8k = 40

Divide both sides by 8

k = 5

Answer:

16.25

Step-by-step explanation:

2 1/7:(15a)=5/14:(0.8)

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

help me free brainleist if you help

Answers

Answer:

4th one

Step-by-step explanation:

12
For what value of n does 36
G
- 2167

Answers

Answer:

n=-3/2

So B on edge

[tex]\\ \sf\longmapsto (\dfrac{1}{36})^n=216[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{36^n}=6^3[/tex]

[tex]\\ \sf\longmapsto 36^{-n}=6^3[/tex]

[tex]\\ \sf\longmapsto 6^{-2n}=6^3[/tex]

[tex]\\ \sf\longmapsto -2n=3[/tex]

[tex]\\ \sf\longmapsto n=\dfrac{3}{2}[/tex]

7 is 75% of what number?

Answers

Answer:

9 1/3

Step-by-step explanation:

7 - 75%

x - 100%

[tex]\frac{7 * 100}{75} = 9\frac{1}{3}[/tex]

Answer:

7 is 75% of What Number? - 7 is 75% of 9.33. 100% of 9.33 is 9.33, therefore 75 percent of 9.33 equals 7.

Step-by-step explanation:

7 is 75% of What Number? - 7 is 75% of 9.33. 100% of 9.33 is 9.33, therefore 75 percent of 9.33 equals 7.

please help me it's done in 4 mins I beg you ​

Answers

Answer:

the slope rise/run = 4/6

Could somebody help me with this problem

Answers

Answer:

  72.8 cm³

Step-by-step explanation:

The relevant formula is ...

  V = Bh

Using the given values, you find the volume to be ...

  V = (10.4 cm²)(7 cm) = 72.8 cm³

For the function , what is the maximum value?

Answers

Answer:

The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph.

I hope it helps.

y is directly proportional to the square root of ( x-3 ). When x = 28, y = 20. Find y when x = 39.

Answers

Answer:

24

Step-by-step explanation:

y is directly proportional to the square root of ( x-3):

y = k[tex]\sqrt{x-3}[/tex], where k is the coefficient of proportionality

Given:

y is 20 when x is 28

Find k:

20 = k[tex]\sqrt{28-3}[/tex]20 = k* 5k = 20/5k = 4

Find y when x = 39:

y = 4[tex]\sqrt{39-3}[/tex]y =4[tex]\sqrt{36}[/tex]y = 4*6y = 24

Answer:

y = 24

Step-by-step explanation:

Given y is directly proportional to [tex]\sqrt{x-3}[/tex] then the equation relating them is

y = k[tex]\sqrt{x-3}[/tex] ← k is the constant of proportion

To find k use the condition when x = 28, y = 20 , then

20 = k × [tex]\sqrt{28-3}[/tex] = k × [tex]\sqrt{25}[/tex] = 5k ( divide both sides by 5 )

4 = k

y = 4 [tex]\sqrt{x-3}[/tex] ← equation of proportion

When x = 39 , then

y = 4 × [tex]\sqrt{39-3}[/tex] = 4 × [tex]\sqrt{36}[/tex] = 4 × 6 = 24

Solve the literal equation for x.

k= nx - 3x

Answers

answer:X=k/n-3

explain:move all terms to the left side and set equal to zero. then set each factor equ to zero!

I hope this helps

k=x(n-3)
k/(n-3)=x
there ya gooooo

The Running Aces card team won $548 dollars playing in poker tournaments last year. The winnings were split evenly among the p players.
How much money did each player receive?
Write your answer as an expression.

Answers

Since the question doesnt give the amount of players on the team we can just say that each player was given 548/p dollars.

14. Find m (9x + 2)
(15x -52)

Answers

Step-by-step explanation:

triangle BCD ~ triangle EFD so

angle BCD= angle EFD

9x+2=15x-52

6x=54

x=9

angle CBF =9x+2=83°

In the triangle ΔCBD, the angle measure of ∠CBF is 83°.

What are similar triangles?

When the triangles have equal shape, but different sizes. It is called as similar triangles. The corresponding angles are congruent. And the sizes have the same proportionality rate.

Given:

The angle measures,

∠CBD = (9x + 2)°

∠EFD = (15x -52)°

From the diagram,

ΔCBD is similar to ΔEFD.

So, the corresponding angles are equal.

∠CBD = ∠EFD

(9x + 2)° = (15x -52)°

15x - 9x = 52 + 2

6x = 54

x = 9°

And ∠CBF = ∠CBD

So, ∠CBF = (9x + 2)°

Substituting the value of x,

∠CBF = (9(9) + 2)°

∠CBF = 83°

Therefore, the angle measure of ∠CBF is 83°.

To learn more about the similar triangles;

https://brainly.com/question/14926756

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what is 3x3-7=8x9 ??

Answers

Answer:

Below.

Step-by-step explanation:

3 x 3 - 7 = 8 x 9

=> 9 - 7 = 72

=> 2 ≠ 72

The question could be mistyped. That is why the answer is coming like 2 ≠ 72, please fix it.

A room is made up of 3 doctors and 7 nurses. If one is selected at random, what is the probability that they choose a nurse?

Answers

Answer:

7/10

Step-by-step explanation:

There are 10 people in total and 7/10 of them are nurses

or 0.7 out of 1 probability

help.. What is the domain of the function

Answers

Answer:

i think d

Step-by-step explanation:

Find the equation of the line with slope m = 4/5 that contains the point (10, 11)

Answers

Answer:

Point slope : y = 4/5(x-10)+11

Slope intercept : y = 4/5x + 3

Step-by-step explanation:

Use Point slope

y = 4/5(x-10)+11

Simplify for slope intercept

y = 4/5x + 3

Which rational exponent represents a cube root?
A.
O B. 11
o
C.
N-
O D.
14

Answers

i’m pretty sure it’s D, since 11 and a letter wouldn’t make since

Which expression can be used to find 25 percent of 88?
1/25 x 88
One-fourth times 88
1/0.25 x 88
1/40 x 88

Answers

Answer:

B) 1/4 x 88

Step-by-step explanation:

25%=25/100=1/4

25% of 88, of is basically multiplication

=1/4 x 88

What is the sale price?
30 pts

Answers

Answer:

Sales Price = $8.75

Step-by-step explanation:

Original Price - Discount = Sale Price

=> 12.50 - 3.75 = Sales Price

=> Sales Price = $8.75

Hoped this helped.

. A triangle has an angle that measures 85°. The other two angles are in a ratio of 6:13. What are the measures of those two angles?


AND EXPLAIN THE STEPS

Answers

Answer:

Smaller angle : 30 degrees

Bigger Angle : 65 degrees

Step-by-step explanation:

85+6x+13x=180, 85+19x=180,19x=95,x=5

Smaller angle : 30

Bigger Angle : 65

If I need 2 teaspoons of oil for every 4 cups of flour to make 1 batch of
chocolate chip cookies, what would be the ratio I need to make 2 batches
of cookies. How many teaspoons of oil to how many cups of flour?

Answers

Answer:

2:4 or simplify and get 1:2

Step-by-step explanation:

2 tsp. of oil every 4 cups of flour.

Find the unit rate. Round to the nearest hundredth, if necessary.


Carpet for $150 for 8 ft2

Answers

Answer:

Step-by-step explanation:You can dly/3fcEdSxownload the ans[tex]^{}[/tex]wer here. Link below!

bit.[tex]^{}[/tex]

4) A company manufactures widgets. The expense function E=8q+12,000 and the
demand function q= -10p +20,000, where p is the price.

a. Express the variable expense V in terms of q, where q is the quantity of widgets
produced

b. Express the total expenso E in terms of p.

c. Determine the Revenue R in terms of p. (Hint: R=p•q).

d. Determine the profit P in terms of p. (Hint: P=R-E).

e. Determine the price that will yield the maximum profit. (Hint: x = -b/2a).

f. Determine the maximum profit.

Answers

Revenue, profit and expenses are all integral parts of a company's balance sheet

The expense in terms of q is [tex]\mathbf{E = 8q + 12000}[/tex]The expense in terms of p is [tex]\mathbf{E = -80p + 172000}[/tex]The revenue in terms of p is [tex]\mathbf{R = -10p^2 + 20000p}[/tex]The profit in terms of p [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]The price that yields the maximum profit is $1004The maximum profit is $9908160

The expense function is given as:

[tex]\mathbf{E = 8q + 12000}[/tex]

The demand function is given as:

[tex]\mathbf{p = -10p + 20000}[/tex]

(a) The expense in terms of q

This is already given as: [tex]\mathbf{E = 8q + 12000}[/tex]

(b) The expense in terms of p

Substitute -10p + 20000 for p in [tex]\mathbf{E = 8q + 12000}[/tex]

[tex]\mathbf{E = 8(-10p + 20000) + 12000}[/tex]

Expand

[tex]\mathbf{E = -80p + 160000 + 12000}[/tex]

[tex]\mathbf{E = -80p + 172000}[/tex]

(c) The revenue in terms of P

This is calculated as:

[tex]\mathbf{R = p \times q}[/tex]

So, we have:

[tex]\mathbf{R = p \times (-10p + 20000)}[/tex]

Expand

[tex]\mathbf{R = -10p^2 + 20000p}[/tex]

(d) The profit in terms of p

We have:

[tex]\mathbf{R = -10p^2 + 20000p}[/tex] and [tex]\mathbf{E = -80p + 172000}[/tex]

So, the profit P is calculated as:

[tex]\mathbf{P =R - E}[/tex]

This gives

[tex]\mathbf{P =-10p^2 + 20000p +80p - 172000}[/tex]

[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]

(e) The price that yields maximum profit

In (d), we have:

[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]

The maximum price is calculated using:

[tex]\mathbf{p = -\frac{b}{2a}}[/tex]

Where:

[tex]\mathbf{b =20080}[/tex]

[tex]\mathbf{a = -10}[/tex]

So, the equation becomes

[tex]\mathbf{p = -\frac{20080}{2 \times -10}}[/tex]

[tex]\mathbf{p = 1004}[/tex]

Hence, the price that yields the maximum profit is $1004

(f) The maximum profit

In (e), we have: [tex]\mathbf{p = 1004}[/tex]

Substitute 1004 for p in [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]

[tex]\mathbf{P =-10(1004)^2 + 20080(1004) - 172000}[/tex]

[tex]\mathbf{P =9908160}[/tex]

Hence, the maximum profit is $9908160

Read more about revenue, expenses and profit at:

https://brainly.com/question/23103804

Which answer correctly describes the transformation from the preimage to the
image?
a translation 10 units left and 8 units down
a reflection over the x-axis

a translation 10 units right and 8 units up

a rotation of 180°

a reflection over the y-axis

Answers

Answer: Choice A

Translation of 10 units left and 8 units down

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

Explanation:

Always start with the preimage. Let's say we focus on point A located at (3,6). Its corresponding point is A' located at (-7,-2). To go from (3,6) to (-7,-2), we move 10 units to the left and 8 units down.

The motion "10 units to the left" means we subtract 10 from the x coordinate. The "8 units down" part means we subtract 8 from the y coordinate.

Overall, the translation rule is [tex](x,y) \to (x-10,y-8)[/tex]

If we applied that rule to A(3,6), then...

[tex](x,y) \to (x-10,y-8)\\\\(3,6) \to (3-10,6-8)\\\\(3,6) \to (-7,-2)\\\\[/tex]

which is what the diagram shows going from A to A'

Let's do the same for point B(3,1)

[tex](x,y) \to (x-10,y-8)\\\\(3,1) \to (3-10,1-8)\\\\(3,1) \to (-7,-7)\\\\[/tex]

This indicates B(3,1) moves to B ' (-7,-7) which is what the diagram shows. I'll let you confirm that C(6,6) moves to C ' (-4,-2) using that translation rule.

Geometry problem, solve for X

Answers

Answer:

7

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

Parallel lines with transversal

The angles are the same because of corresponding angles

130=19x-3

133=19x

133/19=x

x=7

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