A 15-ft by 15-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 304 ft^2, how wide is the walkway?

Answers

Answer 1

Answer:

4 ft = width of walkway

Step-by-step explanation:

It helps if you can draw a figure.

Let x = width of walkway

Length of pool + walkway = (2x + 15)

Width of pool + walkway = (2x + 15)

area of pool and walkway together = (2x + 15)(2x + 15) = [tex]4x^{2} = 60x + 225[/tex]

Area of the pool = 15(15) = 225

Now,

The area of the walkway = area of pool and walkway together - area of pool

304 = 4[tex]x^{2}[/tex] + 60x + 225 - 225

304 = [tex]4x^{2}[/tex] + 60x

4[tex]x^{2}[/tex] + 60x - 304 = 0

4([tex]x^{2}[/tex] +15x - 76) = 0

4(x - 4)(x + 19) = 0

x = 4    x = -19

-19 must be discarded because a length cannot be negative

Therefore x = 4 ft = width of walkway


Related Questions

please help me find the value of x

Answers

Answer:

x=105 hope it helps ur day will nice

X=105 bro have a nice day

What will be the cost of the paving if cement costs $26.50 per square metre?

Answers

Answer:

hey

Step-by-step explanation:

At the student store, pencils are sold in either packs of three or packs of eight.
Without opening any packages, which numbers of pencils is it possible to buy?
Which numbers are impossible?

Answers

Answer

4, 7, 5, 10, 13, .......

Step-by-step explanation:

the only numbers that are impossible to get are the non-multiples of 3 and 8

and the numbers that 8 and 3 do not add up to and the multiples of 8 and 3 do not add up to

Can someone solve this equation for me?

[tex]f(x)=(1-0.08)^{(\frac{1}{52})^{12t}[/tex]

Answers

Answer:

$\frac{4\cdot\left(5^2\right)^5\left(-20\right)^3\left(-8\ right)^{-6}}{5^{-3}\cdot\:25^3\ ... 3(−8) −65 −3· 25 3(( −5) −2) −4 =−251024 ( Decimal : −0.0244140625) .

VA
Explain how you would find the coordinates of the image
of (5, 2) if it was reflected over the x-axis and then that
image was reflected over the y-axis. What would be the
end result?

Answers

Answer:

srry that the two people here befre me didnt help you

Sample Response: To find the image after a reflection over the x-axis, I would negate the y-coordinate. To find the image after a reflection over the y-axis, I would negate the x-coordinate. So, reflecting the point (5, 2) over the x- and y-axis, I would get (–5, –2).

if u dont want to write the paragraph make sure t have this in your sentence

Negate the y-coordinate.

Negate the x-coordinate.

Get the point (–5, –2).

help PLEASE!!! [URGENT]

Answers

The answer is c because its c

90% of e is 30. What is e?

Answers

Answer:

27

Step-by-step explanation:

Answer:

e = 33.3 (approx. )

Step-by-step explanation:

To find out - 'e'

Given,

90 % of e = 30

[tex] = > \frac{90}{100} \times e = 30[/tex]

[tex] = > e = 30 \times \frac{100}{90} [/tex]

[tex] = > e = \frac{100}{3} [/tex]

=> e = 33.3333......

=> e = 33.3 (approx. ) (Ans)

PLEASE HELP ME GUYS!! ITS URGENT

Answers

I think yes they are similar because both of the sizes are equal

Please help with 3 thank you!

Answers

Answer:

Step-by-step explanation:

The base and corresponding height of a parallelogram are 75 cm and 25 cm. If the other base is 50 cm, find out its corresponding height.

Answers

Answer:

Height of the parallelogram = 37.5 cm

Step-by-step explanation:

As given,

Base of a parallelogram = 75 cm

Height of a parallelogram = 25 cm

As,

we know that

Area = Base × Height

        = 75 × 25

        = 1875 cm²

As the parallelogram is same

So, Area = Base × Height

1875 = 50 × Height

⇒ Height = [tex]\frac{1875}{50}[/tex] = 37.5 cm

So, we get

Height of the parallelogram = 37.5 cm

. What is the ordered pair that satisfies the system 2x - 7y >5 and 3x-y S4?
A.(-1, -3)

B.(10, -1)
C.(-4, 6)
D.(-2,-8)
3. Which of the following is not a solution to this system?​

Answers

Answer:

(-1, -3)

Step-by-step explanation:

What is the ordered pair that satisfies the system 2x - 7y >5 and 3x-y < 4?

Using the coordinate point (-1, 3)

If x = -1 and y = 3

Substitute into the expressions and check if they are true

2x - 7y >5

= 2(-1)-7(-3)

= -2 + 21

= 19

Since 19 is greater than 5, hence the inequality 19 > 5 is true

Substituting into 3x - y < 4

3(-1)-(-3)

= -3 + 3

= 0

Since 0 < 4, hence this is also true for the inequality.

The coordinate point that satisfies the inequality is therefore (-1, -3)

ayundenme
1) 7 2 − 10 3 − 15 5 −12 2 + 8 3 − 21 4 − 13 5

2) −82 − 213 − 515 −212 + 183 − 74 − 225

3) −82 − 212+1 − 512+2 −212 + 182+1 − 72+2

4) −1.1 2 3 + 2.25 3 4 + 10.1 4 5 1.8 2 3 − 1.2 3 4 − 1.65 4 5

Answers

Answer:

I

1)-574 2)-874 3)-902 4)No answer bz have two dismal place

Rewrite the function by completing the square.
f(x) = x^2 + 14x + 64

Answers

Step-by-step explanation:

step 1. (x^2 + 14x + 49) + 15

step 2. (x + 7)^2 + 15.

6(-5x - 16) = 30y + 84

Answers

Answer:
-6

Explanation:

Target sells 3 apples $1.50 what is the cost of 20 apples

Answers

Answer:

$10

Step-by-step explanation:

1.50 divided by 3 = 0.50

0.50 x 20 = 10

10 Points<>I need help ASAP!!!

Answers

Answer:

Step-by-step explanation:

A and D

are 7/18 and -21/-56 are equivalent​

Answers

Answer:

yes they are equivalent. if you simplify -21/-56 by dividing it by 3 you will get -7/-21 which equals to 7/21

does anyone know what this is ?

Answers

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between trig functions and angle.

  Tan = Opposite/Adjacent

  tan(θ) = y/x

  Sin = Opposite/Hypotenuse

  sin(θ) = y/4

The given relation is ...

  tan(θ) = 2·sin(θ)

  y/x = 2(y/4)

  2 = x . . . . . . . multiply by (2x/y)

_____

Additional comment

Then the angle can be found from the relation ...

  Cos = Adjacent/Hypotenuse

  cos(θ) = x/4 = 2/4 = 1/2

  θ = arccos(1/2) = 60°

and the value of y is ...

  y = 4·sin(60°) = 2√3

Round 0.9271 to the nearest whole number.

Answers

Answer:1

Step-by-step explanation:

Because 9 is a rich numbers uwill borrow one to the other side so it will become 1.0000

Answer:

1 is round off of 0.9271to the nearest whole number.

Out of the 96 customers at Jamie's boutique, 28 wore a size medium.
What is the probability that a randomly selected customer wore a size medium?

Answers

Answer:

7/24

Step-by-step explanation:

The probability would be 28/96, but we can simplify this fraction:

Divide 2 on both sides:

14/48

Divide 2 again:

7/24

So 7/24 is your answer! :) I hope I helped!

Find the coordinates of the intersection of the diagonals of rectangle WXYZ with the given vertices. W (-1, 7), X (8,7), Y (6,-2), Z (-3,-2).

Answers

(-1,7) X (8,7) Y ( 6-2), ( -3 -2).

pregón de servicio
kjjj​

Answers

Answer:

what

Step-by-step explanation:

cooli don’t understand what you’re saying sorry you’re a good one lol I love your mom I don’t want you to be like you I mean you mean I don’t want you to be mad at me I mean it’s not funny I don’t want you to be mad at me I mean I don’t know why I didn’t say that I mean it’s nothing like I mean it’s like a good job I just want you know what to say

The blizzard company sent a survey to their world of warcraft subscribers and asked if they were expected about the up coming expansion. From the survey, 16 people of the 20 people surveyed said they were excited. A) the probability that 2 people were excited without replacement is

Answers

Answer:

0.6316

Step-by-step explanation:

The computation of the probability that 2 people were excited without replacement is shown below:

There is a total of 20 people

out of which 16 are excited and the remaining 4 would be non-excited

Now the probability would be

[tex]= \frac{^{16}C_2}{^{20}C_2}[/tex]

= 0.6316

Please help me........

Answers

Answer: i don't know

Step-by-step explanation:

hi i  don't know any of this stuff i hope you don't learn anything Bye  

If using the method of completing the square to solve the quadratic equation
x2 + 7x – 27 = 0, which number would have to be added to "complete the
square"?

Answers

To determine the constant that makes the expression (x² + kx) a perfect square,

Take the coefficient of the second term which is k and ÷2

In this case, it is (7/2)²

At the end it looks like

x² + 7x + (7/2)² = 27 + 49/4

(x + 7/2)² = 157/4

The  number is added is 7/2² or 49/4.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x² + 7x – 27 = 0.

Now, we have to half the coefficient of x and then add and subtract the square of half the coefficient of x

So, x² + 7x – 27 +7/2² - 7/2² = 0.

( x+ 7/2)² – 27- 49/4 = 0.

( x+ 7/2)² = 157/4

Hence, the number is added is 7/2² or 49/4.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ5

h(x) = x^3 - 2x
g(x) = 3x + 4 Find (h+g)(4)

Answers

9514 1404 393

Answer:

  72

Step-by-step explanation:

  h(4) = 4^3 -2·4 = 64 -8 = 56

  g(4) = 3·4 +4 = 16

Then the sum is ...

  (h+g)(4) = h(4) + g(4) = 56 +16

  (h+g)(4) = 72

Order the values of the differences from least to greatest. First, write the fractions as decimals. StartFraction 4 Over 5 EndFraction is and Negative 1 and one-half is . Next, plot the numbers on the number line. The greatest number is . Using the students' names, the correct order is .

Answers

Complete Question:

Ms. Perez's biology class grew sunflowers to learn about plants. During the first week, the average sunflower grew 3 inches. The table shows the difference from the average for three students.

Order the values of the differences from least to greatest.

Student: Raj. Difference (in.): 4/5

Student: Clara. Difference (in.): -1 1/2

Student: Jacob. Difference (in.): 0.9

Answer:

[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]

The greatest is: 0.9

By student names: Clara, Raj and Jacob

Step-by-step explanation:

See comment for complete question

Given

Differences:

[tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]

Required

Order from least to greatest

We have: [tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]

First convert fractions to decimal

[tex]\frac{4}{5} = 0.8[/tex]

[tex]-1\frac{1}{2}= -1.5[/tex]

[tex]-\frac{3}{4} = -0.75[/tex]

So, the differences become:

[tex]0.8[/tex], [tex]-1.5[/tex], [tex]0.9[/tex]

Now arrange from least to greatest

[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]

From the above representation,

The greatest is: 0.9

By student names, we have:

Clara, Raj and Jacob

This is done by simply replacing the numbers with the student name.

See attachment for number line

Answer:

4/5 is 0.8 , -1 1/2 is -1.5 , The greatest number is 1.3 , mia, raj, clara, jacob

Step-by-step explanation:

what’s the slope_____

Answers

Answer:

-4

Step-by-step explanation:

The formula for finding the slope of a line is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. We can take any two points given to us from the table and plug them into that expression. For example, we can use the points (0,0) and (2,-8).

[tex]\frac{y_2-y_1}{x_2-x_1}\\= \frac{-8-0}{2-0}\\= \frac{-8}{2}[/tex]

Simplify the fraction

[tex]= -4[/tex]

Therefore, the slope of the line is equal to -4.

I hope this helps!

=. Diego and Priya are each saving money. Diego starts with $80 in his savings account and adds $5
per week. Priya starts with $30 in her savings account and adds $15 each week.
After three weeks, who has more money in their savings account? Explain how you know.
a.

Answers

Answer:

diego. 80+(5x3)= 95

it isn't priya because 30+(5x3)=45

A) 274 m2
B) 302 m2
C) 344 m2
D) 420 m2

Answers

Answer:

The answer is C)344 m2

Step-by-step explanation:

6 x 7 x 2

7 x 10 x 2

6 x 10 x 2

Other Questions
Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20th percentile 20 Correct: Your answer is correct. 25th percentile 21 Incorrect: Your answer is incorrect. 65th percentile 27.5 Incorrect: Your answer is incorrect. 75th percentile 28 Incorrect: Your answer is incorrect. what 2/5(10x + 3/4) - 2x? Describe the origins of Christianity and Islam. flora has a summer job where she earns $9.50 per hour. At this company, employees get a 10% raise after working for 400 hours. If flora works 640 hours over the summer, how much money will she make? help me please its simple looolwhich one is it i always knew the truthSUS Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. How many flowers did she deliver if she made $21? What is the mRNA made from the following DNA.CGATCG? (please help!)A. CGTUCG B. CGATCGC. GCTAGCD. GCUAGC [1What is the distance between the points (-4, -8) and (10,-8)?Need help This region is known for hot and dry summers and long, cold winters. f (x) = 2x g(x) = 4x + 5 Find f (x) + 3g(x) The energy of an object due to its temperature is calleda. Temperature Energyb. Thermometerc. Thermal Energyd. Chemical Energy what happened to lazarus when he died? es verdadero o falsopara que un organismo pluricelulares se reproduzca asexualmente sus celulas deben estar diferencicidas Consider the function f(x) =9-x/x - 4For which intervals is f(x) positive? Check all that apply.1 (-00, -3) )(-3, -2)0 (-2, 2)(2,3)(00, 3) whyyyyyy does math suck help meeee plzz I generally need help Do you think the human species is part of the Earths ecosystem? C. Marisa is suggesting that she and Josefina do the same things. Write the suggestionMarisa gives, using nosotros commands. Follow the model. In rabbits, straight ears (E) are dominant to floppy ears (e). Two rabbits are crossed, and 50% of their offspring have floppy ears. Which cross represents the genotypes of the parents?