The area of a rectangular fountain is x2 + 12x + 20 square feet. A 5-foot walkway is built around the
fountain. Find the dimensions of the outside border of the walkway.

The Area Of A Rectangular Fountain Is X2 + 12x + 20 Square Feet. A 5-foot Walkway Is Built Around Thefountain.

Answers

Answer 1

Answer:

x + 7 ft and  x + 15 ft as the dimensions of the outside border of the walkway.

Step-by-step explanation:

[tex]x^{2} +12x + 20 = (x + 2)(x + 10)[/tex]

The dimensions of the fountain is x + 2 and x + 10

Adding the 5-ft walkway, we get x + 7 ft and  x + 15 ft as the dimensions of the outside border of the walkway.


Related Questions

what is the sum of the following equation 16/100 + 6/10=
a. 10/100
b.22/100
c. 36/100
d.76/100

Answers

Answer:

d

Step-by-step explanation:

convert 6/10 to the same denominator as the other fraction (100) by multiplying the entire fraction by 10 resulting in 60/100 then add 16/100

Answer:

D) 76/100

Step-by-step explanation:

16/100 + 6/10 = ?

16/100 + 60/100 = ?

16/100 + 60/100 = 76/100

what the answer please

Answers

Answer:

The right option should be c

Step-by-step explanation:

The measure of (OH-)

If Westville has 15,200 households, predict the number of households that will have exactly 3 computers? Please answer I need help

Answers

Answer:

1140 households

Step-by-step explanation:

The results of a computer survey of 80 households in Westville are shown in the table.

So from the table we can see that 6 households have 3 numbers of computers.

So the probability is [tex]$\frac{6}{80}$[/tex]

Therefore, the probability of number of houses from a total of 15,200 houses to have exactly three computers is = [tex]$\frac{6}{80} \times 15200$[/tex]

                                                          = 1140 houses

Can anyone please help me to do this with steps

Answers

Hello, I Am BrotherEye

Answer:

I Will Help You!!

But I require More imformation Step-by-step explanation:

Bsmskak the help tie shoes tha ent t this be j294

Solve for X.

Then, Solve for Y.

Finally, Solve for Z.

Answers

Answer:

x = 6

y = 6[tex]\sqrt{2}[/tex]

z = 12

Step-by-step explanation:

the ratio of sides in a 30-60-90° triangle is, respectively, 1 : [tex]\sqrt{3}[/tex] : 2

therefore, 'x' must have a measure of 6

which means the hypotenuse must have a measure of 12

other triangle is a 45-45-90° triangle whose sides are in a ratio of 1 to [tex]\sqrt{2}[/tex]

this means that 'y' must be 12/[tex]\sqrt{2}[/tex] which is 6[tex]\sqrt{2}[/tex]

'z' must be 6[tex]\sqrt{2}[/tex] · [tex]\sqrt{2}[/tex] = 12

Mila and samuel had an equal amount of money for shopping. Mila spent $42 and Samuel spent $36. After that, Mila had 1/2 of what Samuel has left. How much money Milla had initially?

Answers

Answer:

Mila had $48 initially

Step-by-step explanation:

Let the amount of money they had be x

Mila spent $42; what is left would be x-42

Samuel spent $36: what is left would be x-36

So, what Mila had left is half of what Samuel has; that would be;

x-42 = 1/2(x-36)

2(x-42) = x -36

2x-84 = x -36

2x - x = 84 -36

x = $48

Anything help plz
Mr. McGill is solving the following problem: 42x=163. Mr. McGill set 2x=3 and got x=32 as his answer. Tell the mistake Mr. McGill made and tell the correct answer.

Answers

Answer:

3.88

Step-by-step explanation:

Given that

42x = 163

It set 2x = 3

and x = 32

We need to tell the mistake and mentioned the correct answer

if we solve the above equation i.e.

42x = 163

x = 3.88

Hence, in this way it should be calculated

The same would be considered and relevant

Hence, the correct answer is 3.88

A pizza was cut into 4 equal pieces. If Maddie ate 14 of the pizza, and Marco ate 24 of the pizza, how many whole pieces of the pizza are left?

Answers

Answer:

1/4

Step-by-step explanation:

A pizza was cut into 4/4,

Maddie ate 1/4 of the pizza making it: 3/4

Then Marco ate  2/4 making it 1/4

There's your answer !

Sorry if it's incorrect.

Answer:

The answer is 10/4!

Step-by-step explanation:

I know this because my teacher Ms.Curly always tell me see how many pieces of pizza that were eating and then subtract 24 - 14 = 10 then you have 10/4 that is your answer!!

About 1 liter of water is left in a water cooler. How much water was in the cooler when it was full

Answers

Answer:

Step-by-step explanation:

The amount of water that was in the cooler initially is dependent on the amount of water in the cooler now(that is, what is remaining). And also, the rate of which water was being used. If the rate at which water was being used was 10 liter/hour, this means that an 11 liter cooler would remain 1 liter after an hour. Because 10 liters must have been used within the said hour.

Answer:

10 liters

Step-by-step explanation:

can someone actually help me please? i don’t get this and could you explain it ? thank you

Answers

Answer:

y = -1

Step-by-step explanation:

1) first, you would have to substitute x, the input, with 30, y = 14-0.5(30)

2) then, you would multiply 0.5 and 30 together which gets y=14-15

3) lastly, 14-15 equals -1 so y = -1

Answer:

Answer is -1

Step-by-step explanation:

First we know that x = 30, and in 0.5x we can plug in 30 because x = 30. So the equation is 14 - 0.5(30), now multiply 0.5 * 30 which will give you 15. Now the new equation is y = 14 - 15, 14 - 15 will give you -1. And that is y, Y = -1

(9x+4) what is the answer hurry taking a test

Answers

Answer:

9x+4

Step-by-step explanation:

remove the parentheses

(9x+4) is equivalent to 9x+4
Just remove the parenthesis since there is no possible way to find the actual amount (number)

Answer : 9x+4

Jay has an album that holds 500 hockey cards. Each page of the album holds 5 hockey cards. If 17​% of the album is​ empty, how many pages are filled with hockey cards​?

Answers

Answer: 83

Step-by-step explanation: 17% of 500 is 85. If 17% is empty, that means that you'd take away that 15%. 500 - 85 = 415. If each page holds 5 cards, we need to split those cards up between the pages. 415/5 = 83, so 83 pages will be used.

hELP AGANI PLZ
At a school, the ratio of boys to girls is 4 : 5. the school has 900 students. How many girls are there?

Answers

Answer:

180

Step-by-step explanation:

The answer is 180 because:

[tex]5*180=900[/tex]

Help please! No file attachments please, only write your answers in response to question.

Answers

this is the correct answer for the problem
AFK,CGJ,DEL,BHM

The vertices of ΔJKL are J(–3, –2), K(1, 4), and L(4, 2). Which coordinate pairs are vertices of D5(ΔJKL)? Select all that apply.

Answers

Answer:

J' = (-15, -10)

K' = (5, 20)

L' = (20, 10)

Step-by-step explanation:

Given the coordinates J(–3, –2), K(1, 4), and L(4, 2)

D5(ΔJKL) means we need to dilate the coordinates by a constant of 5

To do that, we will multiply the coordinates by a value of 5

D5(ΔJKL)

J' =  (5(–3), 5(–2)),

J' = (-15, -10)

K' = (5(1), 5(4))

K' = (5, 20)

L' = (5(4), 5(2))

L' = (20, 10)

Hi, I'm confused about how to write a system of equations to model this word problem

Answers

Answer:

Step-by-step explanation:

I say seven...

Solve the equation for x.

Answers

Answer:

2x+5=4x+1

5=2x+1

4=3x

x=1.3333333 or 1 1/3

Step-by-step explanation:

how many whole numbers are between 0 and 1999

Answers

there are 2000 whole number

ANSWER ASAP!!!
The two-way table displays data collected from a random group of college students. Which statements are correct? (frequencies rounded to nearest tenth)
A) The relative frequency of "like snowmobiles" and "like skateboards" is 76.2%. B) The relative frequency of "like snowmobiles" and "do not like skateboards" is 15.6%. C) The row conditional relative frequencies of "like snowmobiles" and "like skateboards" is 76.2%. D) The row conditional relative frequencies of "do not like snowmobiles" and "like skateboards" is 28.1%. E) The column conditional relative frequencies of "do not like skateboards" and "do not like snowmobiles" is 28.6%.

Answers

Answer:

a)45/125

b)25/125

c)80/125

d)45/125

e)10/35

Step-by-step explanation:

hope it is correct

The statements which are correct are B, C and E.

What is Relative Frequency?

Relative frequency is defined as the ratio of the frequency by the total count of the data values.

We have to find the relative frequency in each option.

A) Frequency of "like snowmobiles" and "like skateboards" = 80

Total count = 160

Relative frequency of "like snowmobiles" and "like skateboards" = 80 / 160 = 0.5 = 50%

B)  Frequency of "like snowmobiles" and "do not like skateboards" = 25

Total count = 160

Relative frequency of "like snowmobiles" and "do not like skateboards" = 25 / 160 = 0.15625 = 15.6%

C) Frequency of "like snowmobiles" and "like skateboards" = 80

Total row frequency = 105

The row conditional relative frequencies of "like snowmobiles" and "like skateboards" = 80 / 105 = 0.7619 = 76.19% ≈ 76.2%

D) Frequency of "do not like snowmobiles" and "like skateboards" = 45

Total row frequency = 55

The row conditional relative frequencies of "do not like snowmobiles" and "like skateboards" = 45 / 55 = 0.81818 = 81.82%

E) Frequency of "do not like snowmobiles" and "do not like skateboards" = 10

Total column frequency = 35

The column conditional relative frequencies of "do not like skateboards" and "do not like snowmobiles" = 10 / 35 = 0.2857 = 28.57% ≈ 28.6%

Hence the correct statements are B, C and E.

Learn more about Relative Frequencies here :

https://brainly.com/question/30466267

#SPJ3

9. Which activity would best result
in a scholarship award ?

Answers

I think the answer is c.

be smart and help me please i can’t fail again i will give branliest

Answers

Answer:

28%

Step-by-step explanation:

12+34+7=2856

Then, 2856/100 to get the percentage.

Pleaseee help me I’m stuck

Answers

Answer:

11

Step-by-step explanation:

A triangle has one side which is 2 meters long and another side which is 5 meters
long. Write a value that could be the length of the third side, in feet.

Answers

Answer:

23 feet > m ; or m must be less than 23 feet.

Step-by-step explanation:

Let's call this final, or third side, m.

According to the Triangle Inequality Theorem, or the Gator Theorem - as some call it - "The sum of the lengths of any two sides of a triangle is greater than the length of the third side."

So,

[tex]2+5>m\\7>m[/tex]

So, we know that m must be less than 7 meters! However, we are NOT done. We must convert M's measurement of meters into feet.

A meter is about 3.28 feet, so using that conversion...

[tex]3.28 * 7 = 22.96\\[/tex]

That is about 23 feet :)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Have a nice day fam! Spread The Love.

what is the center of (x+5)^{2}+(y-4)^{2}=121?

Answers

Answer: (-5,4)

Step-by-step explanation:

what is the product of (5x-8)(2x+6)

Answers

Answer:

10x^2+14x-48

Step-by-step explanation:

5x*2x=10x^2

5x*6=30x

-8*2x=-16x

-8*6=48

combine them and you'll get 10x^2+14x-48

Answer:

24x-48

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

5x*2x=10x

5x*6=30x

-8*2x=-16x

-8*6=-48

40x-16x=24x

24x-48

What is 72 out of 96?

Answers

Answer:

75%

Step-by-step explanation:

72 is 75% of 96

Find the gradient of the line segment between the points (-1,3) and (1,-2).
Give your answer in its simplest form.

Answers

Can someone please on this , I need help on this too !!

-5/2

Step-by-step explanation:

-2-3/1-(-1) = -5/2

can somebody help me plssssssss

Answers

Answer:

25

Step-by-step explanation:

To be honest i´m not quite sure since I got 22 but 25 is the closest to my answer

Your classmate says that the solutions to the given inequality are x > -2. Look carefully at the work. Should your friend have reversed the inequality​ symbol? Explain. Then solve the inequality correctly.

Please don't send those annoying files, I'm not trying to get a virus on my laptop. Please, if you can, just write out the steps/answer(s).

Answers

Answer:

x < -2 (No, he shouldn't have reversed the inequality symbol).

Step-by-step explanation:

Given the algebraic expression;

19 - 2(1 - x) < 13

Opening up the bracket, we have;

19 + (-2*1) + (-2*-x) < 13

19 + (-2) + (2x) < 13

19 - 2 + 2x < 13

17 + 2x < 13

Rearranging the equation, we have;

2x < 13 - 17

2x < -4

Dividing both sides by 2, we have;

x < -2

Hence, your friend shouldn't have reversed the inequality symbol (sign).

Note: you should only flip the inequality symbol (sign) when you're dividing by a negative number such as -2.

For example, if we had re-arranged the equation as;

17 - 13 < -2x

4 < -2x

Dividing both sides by -2, we have;

4 > x

substitution method please help :3

Answers

Answer:

7x + 27 = -17

Step-by-step explanation:

2x + 5x = 7x

3y + (-y) = 2y

-5 + (-12) = -17

Combine them to make the added equation.

7x + 2y = -17.

Other Questions
Help MATH please EEEEE Normal distribution has a mean of 103 and a standard deviation of 2.7 what is the Z score of 105. enter your answer rounded to the nearest hundredth. Choose the best topic sentence for a cause-and-effect paragraph on weatherand mood. (Please HELP) Copy and paste the following passage into the text box. Underline or use italics in the this paragraph where appropriate.Theodore Taylors classic book The Cay takes place during World War II when the Germans invade the small island of Curacao. As a young boy, Philip, is very excited by the idea of war, which seemed like a game to him. But when a German submarine attacks the freighter he is traveling on to the United States with his mother, the war now becomes a reality. He is injured and then becomes marooned with an old black man, depending on this man for survival. There are three major themes in The Cay: survival, sacrifice, and overcoming prejudice. Philip needs to reevaluate the stereotypes and prejudices he has been raised to believe in order to survive this ordeal. The Cay is a gripping novel that holds your attention until the very last page. Do you think the Britain government was justified (did the right thing) in taxing the colonists? Explain your answer. who would benefit from using self-driving cars BenjaminCompanyproducesproductsC,J,andRfromajointproductionprocess.Eachproductmaybesold at the split-off point or processed further. Joint production costs of $95,000 per year are allocated to the productsbasedontherelativenumberofunitsproduced.DataforBenjamin'soperationsforlastyearfollow: write a letter to your father asking for money to buy textbooks and pay for your school fees Please answer this question for branliest i really need it and dont just answer for points tysm WILL GIVE BRAINLIEST!! EASY POINTS!! Which can be studied as a scientific investigation?A)Blue is the best color.B)Vegetarianism is better for the environment than non-vegetarianism.C)Country music is more enjoyable than hip-hop music.D)All students should be required to wear uniforms to sch vbvjkkkp[kpojsdbfoijaefoibhfeboqi This is the power, right, or authority to interpret and apply the lawA. JurisdictionB. PreponderanceC. Reasonable DoubtD. Appellate Stop I need some Help What is the Same about carbohydrates, proteins , and fats ? What is the length, in feet, of the hypotenuse of a right triangle with legs that are 6 feet long and 7 feet long, respectively?13square root of 1385square root of 8513132121,42 The height, h, of a baseball thrown upward with an initial velocity of 10feet per second from 6 feet above the ground is modeled by the functionh = -16x2 + 10x + 6, where x is the time in seconds. How long does ittake before the ball hits the ground? 14 = 7nhelp please Lawyers are superior Drivers He and Kathy worried about the reach of the Department of Homeland Security, its willingness to contact anyone born in or with a connection to the Middle East. So many of their Muslim friends had been interviewed, forced to send in documents and hire lawyers. But until now Zeitoun had been fortunate. He had had no experience with profiling, hadnt been suspected of anything by anyone with real authority. There were the occasional looks askance, of course, sneers from people upon hearing his accent. Maybe, he thought, this was just one soldier, ignorant or cruel, wanting to stir things up. Why does the author include these details