an inground rectangular pool has a concrete pathway surrounding the pool. If the pool is 16 feet by 32 feet and the entire are of the pool including the walkway is 924ft^2, find the width of the walkway.

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex](32+2W)(16+2W)=924\\ \\ 4W^2+96W+512=924\\ \\ 4W^2+96W-412\\ \\ W^2+24W-103=0\\ \\ W=-24\frac{\sqrt{988}}{2}\\ \\ W\approx 3.72ft[/tex]


Related Questions

Find the circumference of the circle use 3.14 for that symbol help ASAP

Answers

Hello
Radius of circle =1.5cm
Therefore the circumference of the circle =2x3.14x15= 9.42cm
The answer is 9.42 cm

What do these circles have in common?

Answers

They are all circles

Answer:

They are all circles? I dont really know how to explain it so that is all I got to say

Step-by-step explanation:

Ms. Day went shopping last week and spent a total of $120. Blankets cost her $16 while pillows cost her $10. Altogether, she bought 9 items. How many of each item did Ms. Day end up buying?

Answers

Answer:

Ms. Day bought 5 blankets and 4 pillows.

Step-by-step explanation:

Let [tex]x[/tex] denotes number of blankets and [tex]y[/tex] denotes number of pillows.

Blankets cost her $16 while pillows cost her $10 and Ms. Day spent a total of $120.

[tex]16x+10y=120[/tex]

Divide this equation by 2.

[tex]8x+5y=60\,\,...(i)[/tex]

Ms. Day bought 9 items.

[tex]x+y=9[/tex]

Multiply this equation by 5.

[tex]5x+5y=45\,\,...(ii)[/tex]

Subtract [tex](ii)[/tex] from [tex](i)[/tex]

[tex]3x=15\\x=5[/tex]

Put [tex]x=5[/tex] in [tex]x+y=9[/tex]

[tex]5+y=9\\y=9-5\\y=4[/tex]

Therefore,

Ms. Day bought 5 blankets and 4 pillows.

What is additive inverse of the check?
please help



7x -3




-7x + 3



-7x - 3



7x - 3

Answers

Answer:

pretty sure it would be 7x-3

9. IS it possible to prove these triangles congruent by the HL Theorem?

Answers

Answer:

Yes, It is possible

Step-by-step explanation:

Simplify the followimg
(1 1/2) ^-2 step by step explanations plzzzzzzzz ​

Answers

Answer:

4/9

Step-by-step explanation:

sorry if wrong i don't know how to explain it also

Answer:

Convert 1 1/2 to an improper fraction.

3/2⋅2

Cancel the common factor of 2.

3

can someone help me solve F(x) = -9x-5

Answers

Answer:

Step-by-step explanation:

What you've provided is only a function. What's the complete question?

What is the variable for For the equation 2n - 3 = 7

Answers

Answer: n= 5

Step-by-step explanation:

Dwayne's garden is triangle-shaped with two equal sides and a third side that is 4 ft more than the length of an equal side. If the perimeter is 49 ft, how long is each side?

Which equation represents this?

2x = 49
2x + 4 = 49
3x = 49
3x + 4 = 49

Answers

Answer:

2x = 49

=x=24.5

if 2x + 4=49

49-4/2=x

x=22.5

if 3x + 4 =49

x=45/3=15

3x + 4 belongs it

15+4is 19

Answer:

2x = 49

=x=24.5

if 2x + 4=49

49-4/2=x

x=22.5

if 3x + 4 =49

x=45/3=15

3x + 4 belongs it

15+4is 19

how to calculate perimeter

Answers

Answer:

To calculate perimeter add all the sides of the particular shape.

I hope this helps!

Square perimeter formula: P = 4a

Rectangle perimeter formula: P = 2(a + b)

Triangle perimeter formulas:

P = a + b + c or

P = a + b + √(a² + b² - 2ab * cos(γ)) or

P = a + (a / sin(β + γ)) * (sin(β) + sin(γ))

Circle perimeter formula: P = 2πr

Circle sector perimeter formula: P = r(α + 2) (α is in radians)

Ellipse perimeter formula: P = π(3(a + b) - √((3a + b) * (a + 3b)))

Quadrilateral / Trapezoid perimeter formula: P = a + b + c + d

Parallelogram perimeter formulas:

P = 2(a + b) or

P = 2a² + √(2e² + 2f² - 4a²) or

P = 2(b + h/sin(α))

Rhombus perimeter formulas:

P = 4a or

P = 2√(e² + f²)

Kite perimeter formula: P = 2(a + b)

Annulus perimeter formula: P = 2π(R + r)

Regular polygon area formula: P = n * a

m> 32
Which of the following could be a possible value for m?
32
33
100
n 31

Answers

33 and 100 are correct. Both are greater than 32
The answer is 33 and 100.

Because it says m is larger than 32. It can’t be 32, the sign is only larger than, not larger than or equal to. It also can’t be 31 because it is smaller than 32.

The length of a bed would be about

Answers

Answer:

2 yards.

Step-by-step explanation:

We know that a length of a bed is DEFINITELY not 2 miles, and it isn't 2 inches either, because they're both too big and too small. However, 2 feet is also pretty small, too, because 2 feet is about the size of a crib. So what's left is 2 yards, so a bed is about 2 yards.

Answer:

2 yards

Step-by-step explanation:

The question is asking what the length of a bed would be.

To answer this question, it's basically common sense, how long is a bed usually, it would be about 5 to 10 feet, big enough to fit a human with no uncomfortability.

So with this info, we can scratch D and B. As for A and C, let's convert them into feet.

1 yard equals 3 feet, meaning two yards would be 6 feet.

1 mile is 5280 feet, this is obviously wrong.

A is our answer.

Miss Smith took her bird to the vet 20 weighed 1 and 3/10 pounds the vet said that tweety weighed 4/10 pound more last year how much did tweety way last year

Answers

Answer:

1 and 7/10 pounds?

Step-by-step explanation:

because if its 4/10 more you add 3/10 and 4/10 im pretty sure

Answer:

PLEASE MARK BRAInliest

Step-by-step explanation:

tweety weighed 17/10 pounds last year.

1, 1/2, 1/4, 1/8, ... What's the pattern rule and the next three numbers? Please someone help me! ​

Answers

Answer:

1/14 ,1/22 ,1/32

Step-by-step explanation:

pattern is according to 2 table

1/2, 1/4, 1/8 the denominators difference is 2 table

2×1=2 difference between 2&4 is 2

2×2=4 difference between 4&8 is 4

2×3=6 8+6=14

2×4=8 14+8=22

2×5=10 22+10=32

hope you've understood

Alex is y years old. Bella is 4 years older than him .Carla is double Alex's age. The sum total of their age is 32
Form and solve an equation to work out the ages of the three children

Answers

Answer:

Alex is 7, Bella is 11, and Carla is 14

Step-by-step explanation:

Equation is 32=y+2y+(y+4)

To solve:

First combine like terms (the y's)

32=4y+4

Subtract 4 from both sides

28=4y

Divide both sides by 4 to get y alone

7 =y (Alex's age)

Bella is 4 years older than Alex so 7+4 = 11

Carla is 2 times older than Alex so 2 • 7 = 14

Their ages are supposed to add up to 32.

7+11+14

18+14

32

Find the measure......

Answers

Answer:

the answer would be S/ 2= 140/ 2 = 70°

You deposit $300 in a savings account. The account earns 10% simple interest per year.
a. What is the interest earned after 8 years?
The interest earned is $? after 8 years.
b. What is the balance after 8 years?
The balance is $?
after 8 years.

Answers

Answer:

Step-by-step explanation:

The interest after 8 years is $240

The balance after 8 years is $540

Hope this helps!

Plz, Mark Brainliest!

The interest after 8 years is $240 and the balance after 8 years is $540.

What is Simple interest?

Simple interest is calculated by multiplying the daily interest rate by the principal, by the number of days that elapse between payments.

Given that, You deposit $300 in a savings account. The account earns 10% simple interest per year.

SI = P*R*T/10

Where P = principal

R = rate

T = time

a) The interest earned after 8 years:-

SI = 300*10*8/100 = $240

b) The balance after 8 years:-

Amount = 300+240 = $540

Hence, The interest after 8 years is $240 and the balance after 8 years is $540.

For more references on simple interest, click;

https://brainly.com/question/25845758

#SPJ2

Which of the following is a factor of 7x2 + 42x - 49
x2 + 49
x+7
X-7
x+ 1

Answers

Answer:

[tex]x + 7[/tex]

is the answer because 7×2+42x-49

write the slope intercept form of the equation of the line through the given points (0,4) and (-5,5)

Answers

y = -1/5x +4 (i think??)

if 20(mod 9) is equivalent to y(mod 6) find y

Answers

Answer:

First, reduce 20(mod 9) to its simplest form in mod 9; 9 x 2 + 2 = 2(mod 9)

If 2(mod 9) y(mod 6), then y = 2 by comparism

Hope it helped!!!

Which is greater 2.6 or 2.65 ?

Answers

Answer:

2.65 is greater than 2.6

Step-by-step explanation:

if 65 is greater than 60 than 2.65 is greater than 2.60

Answer:

2.6 > 2.65

Step-by-step explanation:

What is the midpoint between points (4, 7) and (1, 1)?

Answers

Answer:

(2.5, 4)

Step-by-step explanation:

Refer to the formula above. We will sub our points into it.

(4, 7) (1, 1)

(x¹, y¹) (x², y²)

[tex]( \frac{4 +1}{2} \frac{7 + 1}{2} )[/tex]

(5/2, 8/2)

(2.5, 4)

qual das inequações seguintes e equivalente à inequação -2x <4?
a) x<-2
b) x>-2
c) x<2
d) x>2​

Answers

Answer:

I dont get your question

What is (f + g)(x)?
f(x) = -4x
g(x) = -x^2 + 6x

Answers

-4x+-x^2+6x = -x^2 + 2x

For the equation: 4x+y=10 what does x equal if y=-6?

Answers

Answer:

x = 4

pls mark as brainliest...

Answer:

x=4

Step-by-step explanation:

4x+y=10 then, plug in y

4x+(-6)=10 then, isolate x by adding 6to both sides,

+ 6 +6 then, divide by 4 on each side

4x/4=x

16/4=4

x=4

Please hurry!!!!!!!!!!!!!!!!!!

Answers

Answer:

38

Step-by-step explanation:

Range is the largest number minus the smallest number

55-17=38

I hope I hurried enough

Answer:

Your question is not proper.Here, you said that range of data. But where is the data? How can you expect answer without giving proper question?

brainliest to whoever can answer questions correctly ​

Answers

Answer:

Have you tried 5 x pi?

Good luck! Hope that helps!

What is the value of x in the equation 6x + 3 + 4x =
(9 + 10x)?
Enter your answer in the box.
2
TIL
CON
4
6
7
8
CO

Answers

9514 1404 393

Answer:

  x = 3/10

Step-by-step explanation:

Given

  6x +3 +4x = 1/2(9 +10x)

We can collect term, then multiply by 2.

  10x + 3 = (1/2)(9 +10x)

  20x + 6 = 10x + 9 . . . . . . . multiply by 2

  10x = 3 . . . . . . . . . . . . . . . . subtract (6+10x)

  x = 3/10 . . . . . . . . . . . . . . . divide by 10

_____

Check

  6(3/10) +3 +4(3/10) = (1/2)(9 + 10(3/10))

  1.8 + 3 + 1.2 = 1/2(9 +3)

  6 = 6 . . . . . solution checks OK

Please answer this question now. Giving brainliest to anyone who answers

Answers

Line p is perpendicular to S and the equation is y=x +3 which is D

i need help urgently please :D

Answers

Answer:

y = 4

x = 5

y = 2

x = 1

x = 8

Step-by-step explanation:

to find y-intercepts, set x = 0

to find x-intercepts, set y = 0

1.)   4(0) + 5y = 20

     5y = 20

      y = 4 -------> y-intercept

2.)   4x + 5(0) = 20

      4x = 20

       x = 5 -------> x-intercept

3.)   2(0) + y = 2

      y = 2 -------> y-intercept

4.)    2x + 0 = 2

       x = 1 -------> x-intercept

5.)    x - 2(0) = 8

       x = 8 -------> x-intercept

Answer:

4x+5y=20 the answer is below

x= −5/4y+5

y= −4/5x+4

2x+y=2 the answer is below

x= −1/2y+1

y=−2x+2

x-2y=8 the answer is below

x=2y+8

y=1/2x−4

Step-by-step explanation:

Let's solve for x.

4x+5y=20

Step 1: Add -5y to both sides.

4x+5y+−5y=20+−5y

4x=−5y+20

Step 2: Divide both sides by 4.

4x/4 = −5y+20/4

x= −5/4y+5

Answer:

x= −5/4y+5

Let's solve for y.

4x+5y=20

Step 1: Add -4x to both sides.

4x+5y+−4x=20+−4x

5y=−4x+20

Step 2: Divide both sides by 5.

5y/5 = −4x+20/5

y= −4/5x+4

Answer:

y= −4/5x+4

Let's solve for x.

2x+y=2

Step 1: Add -y to both sides.

2x+y+−y=2+−y

2x=−y+2

Step 2: Divide both sides by 2.

2x/2= −y+2/2

x= −1/2y+1

Answer:

x= −1/2y+1

Let's solve for y.

2x+y=2

Step 1: Add -2x to both sides.

2x+y+ −2x=2+ −2x

y=−2x+2

Answer:

y=−2x+2

Let's solve for x.

x−2y=8

Step 1: Add 2y to both sides.

x−2y+2y=8+2y

x=2y+8

Answer:

x=2y+8

Let's solve for y.

x−2y=8

Step 1: Add -x to both sides.

x−2y+−x=8+−x

−2y=−x+8

Step 2: Divide both sides by -2.

−2y −2=−x+8−2

y=1/2x−4

Answer:

y=1/2x−4

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