The perimeter of a rectangular pool is 216 feet. The length of the swimming pool is 3
times longer than the width. Find the length and the width of the swimming pool.

Answers

Answer 1

Answer:

l = 81

w = 27

Step-by-step explanation:

l = 3x (x2)

w = x (x2)

l = 6x (has two sides so we x2)

w = 2x

6x + 2x = 8x

8x = 216

x = 27 (divide both sides)

w = 27

l = 27 x 3 = 81 (length is 3x bigger than width)

81 + 81 + 27 + 27 = 216


Related Questions

what is the measure of angle m?​

Answers

Answer:

The answer is 55.

m=55

Step-by-step explanation:

we know that a straight line is 180
We know that m+125 is a straight line.
This means that we will subtract 125 from 180
When you do that, you get 55.

We can check our answer by doing 125+55
That will get you 180.

A line crosses the y-axis at (0,55). What is the y-intercept of this line?

Answers

Answer:The y intercept would be 55.

Step-by-step explanation:Wherever the y-axis is touched at with the x-value at 0 (in this case, its 55) that would be the y-intercept.

Answer:

[tex]\huge\boxed{\sf{55}}[/tex]

Step-by-step explanation:

Hello.

In order to determine the y-intercept, just look at the y-coordinate (If we have a point like (0, b)

b --> y-intercept

Therefore, b (the y-intercept) is equal to 55.

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]

What is the range of U.S. property tax rates?

Answers

It is about 3,104 of properties that tax


Huilan is 8 years older than Thomas. The sum of their ages is 70. What is Thomas's age?

Answers

Answer:

T = 31

Step-by-step explanation:

(T + 8) + T = 70

subtract 8 from both sides

T+T = 62

Rewrite

2T = 62

divide both sides by 2

T = 31

HELP ME OUT PLS!!!!

When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is equal to the area of the largest square. Which three squares are an example of this relationship?​

Answers

The last 3 squares (ie D)

Sum of the area of the small two
= 11 + 5 =16 cm2

Area of the largest square
= L x L = 4 x 4 = 16 cm2

It is seen from both solutions that the areas are the same
Hence D is the answer

re-arrange the formula to solve for h :
A=bh
2

Answers

Answer:

h = b - a

Step-by-step explanation:

Answer:

A/b = h

Step-by-step explanation:

A=bh

1) divide both sides by b

A/b = h

HELPPPP IF YOU CAN pls?

Answers

Answer:

i'm not sure but here's some encouragement- YOU CAN DO IT

Step-by-step explanation:

Hugh and his brothers are on a road trip. His brother makes a table comparing how long they have traveled in hours ( x ) with the number of miles they have traveled ( y ). Which equation can be used to figure out how many miles Hugh and his brothers have traveled based on the number of miles they have driven?

Answers

The required equation that can be used to figure out how many miles Hugh and his brothers have traveled based on the number of miles they have driven is y = 65x

Equation of a graph and table

Given the following variables

Time taken to travel is x

Mils traveled is y

Using the coordinate points (2, 130) and (4, 260)

The standard linear equation is y = mx + b

slope m = 260-130/4-2
m = 130/2

m = 65

For the intercept

130 = 65(2) + b

b = 0

The required equation that can be used to figure out how many miles Hugh and his brothers have traveled based on the number of miles they have driven is y = 65x

Learn more on linear functions here; https://brainly.com/question/14323743

What is the area of a rectangle with a length of 214 inches and a width of 234 inches?

714 in²

6316 in²

4316 in²

3332 in²

Answers

Given :

The length of a rectangle is 214 inches and the width is 234 inches.

To Find :

The area of the rectangle.

Solution :

We know that,

[tex]\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:[/tex]

Now substituting the values :

[tex]\qquad {\dashrightarrow{ \sf{214 \: in\times 234 \: in = Area_{(rectangle)}}}}\:[/tex]

[tex]\qquad {\dashrightarrow \: { { \sf{50,076 \: {in}^{2} = Area_{(rectangle)}}}}\:}

[/tex]

Hence, The area of the rectangle is 50,076 in² .

The area of a rectangle with a length of 2 1/4 inches and a width of 2 3/4 inches is 6 3/16 in². Option C is correct.

How to find the area of a rectangle?

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length of the rectangle and (b) is the width of the rectangle.

The rectangle given in the problem has,

A length of 2 1/4 inches.  A width of 2 3/4 inches.

Thus, the area of the rectangle is,

[tex]A=2\dfrac{1}{4}\times2\dfrac{3}{4}\\A=\dfrac{8+1}{4}\times\dfrac{8+3}{4}\\A=\dfrac{9}{4}\times\dfrac{11}{4}\\A=\dfrac{99}{16}\\\A=\dfrac{96+3}{16}\\A=6\dfrac{3}{16}[/tex]

Thus, the area of a rectangle with a length of 2 1/4 inches and a width of 2 3/4 inches is 6 3/16 in². Option C is correct.

Learn more about the area of rectangle here;

https://brainly.com/question/11202023

A line crosses the y-axis at (0,55). What is the y-intercept of this line?

Answers

Answer:

[tex]\huge\boxed{\sf{b=55\:(b=y-intercept\:;)}}[/tex]

Step-by-step explanation:

Hello.

The y-intercept of a line is a point where the graph touches the y-axis.

Y-intercepts always have an x-coordinate of 0.

Now, what is the y-intercept?

If we have a point (0, b) then b is the y-intercept.

This is just a formula, so don't think that the y-intercept is b, okay?

The y-intercept is b, but only in formulae. :)

Using the formula, we can deduce that

the y-intercept is 55.

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]


Is 2 × 12 positive or negative?

Answers

Positive,

because 2*12 equals to 24, and 24 is positive!

2 multiplied by 12 is 25

$7.00 dollars saved, Ernie said he had 1 1/2 times as much money saved. How much money does Ernie have saved?

Answers

Answer:

Ernie has $10.50 saved.

Step-by-step explanation:

1.5 x $7 = 10.5

OR

(1 x $7) + (0.5 x $7) = $7 + $3.50 = $10.50

Hope this helps!

Please answer the question in the picture

Answers

Answer:

Option A

Step-by-step explanation:

Both fractions have common denominators (x - 4). So, we can add the numerators.

[tex]\dfrac{x-9}{x-4}+\dfrac{x^{2}-x+5}{x-4}=\dfrac{x-9 +x^{2}-x +5}{x-4}\\\\\\=\dfrac{x -x +x^{2}-9+5}{x-4}\\\\\\=\dfrac{x^{2}-4}{x-4}[/tex]

Change the following improper fraction to a mixed number. -47/7

Answers

Answer:

-6 5/7

Multiply the denominator by the number that doesn't exceed -47. Here, it would be -6.

7 x (-6) = -42

Then, subtract the difference to get the mixed number.

-42-5 = -47

The numbers used are found in the improper fraction: -6 5/7

Answer:

[tex]-6\frac{5}{7}[/tex]

Step-by-step explanation:

Given the following question:

[tex]-\frac{47}{7}[/tex]

To convert an improper fraction into a mixed number we simply have to divide the numerator by the denominator.

[tex]-\frac{47}{7}[/tex]
[tex]-\frac{47}{7}=47\div7=-6\frac{5}{7}[/tex]
[tex]=-6\frac{5}{7}[/tex]

Let 6 represent how many times 7 does into 47
Let 5 represent the remainder
Let 7 represent the denominator which remains the same.

Hope this helps.

Three students, Carson, Andrew, and London, line up one behind the other. How
many different ways can they stand in line?

Answers

they can stand 9 different ways

What’s the awnser? PLEASE TELL ME ILL GIVE U BRAINLIEAST

Answers

Answer:

it is a geometrical net

Answer:

the 1st

Step-by-step explanation:

no need to explain

50 POINTS // This graph represents a proportional relationship.

What is the constant of proportionality for this relationship?

•1/3

•1/2

•2

•I don't know

Answers

We need slope

(3,1)(6,2)

[tex]\\ \rm\Rrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\Rrightarrow m=\dfrac{2-1}{6-3}[/tex]

[tex]\\ \rm\Rrightarrow m=\dfrac{1}{3}[/tex]

Solution:

This can be solved using two methods:

Method #1:

Rise/Run = Slope=> 1/3 = Slope

The slope is 1/3.

Method #2:

y₂ - y₁/x₂ - x₁ = Slope=> 2 - 1/6 - 3 = Slope=> 1/3 = Slope

The slope is 1/3.

Looking at the two methods, we can conclude that:

The slope of the line is 1/3.

Asset W has an expected return of 13.75 percent and a beta of 1.4. If the risk-free rate is 4.65 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Enter your portfolio expected return answers as a percent rounded to 2 decimal places, e.g., 32.16. Enter your portfolio beta answers rounded to 3 decimal places, e.g., 32.161.)

Answers

Please you have to do this on your own ok

Problem 0: Compute the inverse Laplace Transforms of:
[tex]F(s) = \frac{s + 1}{s(s - 1)(s - 3)} [/tex]

[tex]F(s) = \frac{1}{(s - 1)(s - 2)(s - 3)} [/tex]

Answers

Decompose each given F(s) into partial fractions.

[tex]F(s) = \dfrac{s+1}{s(s-1)(s-3)}[/tex]

has partial fraction decomposition

[tex]\dfrac{s+1}{s(s-1)(s-3)} = \dfrac as + \dfrac b{s-1} + \dfrac c{s-3}[/tex]

Combine the rational terms on the right and solve for the coefficients:

[tex]\dfrac{s+1}{s(s-1)(s-3)} = \dfrac{a(s-1)(s-3) + b s(s-3) + c s(s-1)}{s (s-1) (s-3)}[/tex]

[tex]1 = a(s-1)(s-3) + bs(s-3) + c s(s-1)[/tex]

[tex]1 = 3 a + (-4 a - 3 b - c) s + (a + b + c) s^2[/tex]

[tex]\begin{cases}3a=1 \\ -4a-3b-c = 0 \\ a+b+c=0 \end{cases} \implies a=\dfrac13, b=-\dfrac12, c=\dfrac16[/tex]

Then

[tex]F(s) = \dfrac13 \times \dfrac1s - \dfrac12 \times \dfrac1{s-1} + \dfrac16 \times \dfrac1{s-3}[/tex]

Using the frequency-shifting property, the inverse transform is

[tex]\boxed{f(t) = \dfrac13 - \dfrac{e^t}2 + \dfrac{e^{3t}}6}[/tex]

The other transform can be dealt with in the same manner.

[tex]F(s) = \dfrac1{(s-1)(s-2)(s-3)} = \dfrac a{s-1} + \dfrac b{s-2} + \dfrac c{s-3}[/tex]

[tex]\implies 1 = a(s-2)(s-3) + b(s-1)(s-3) + c(s-1)(s-2)[/tex]

[tex]\implies 1 = 6 a + 3 b + 2 c + (-5 a - 4 b - 3 c) s + (a + b + c) s^2[/tex]

[tex]\implies \begin{cases}6 a + 3 b + 2 c=1 \\ -5a-4b-3c = 0 \\ a+b+c=0\end{cases} \implies a=\dfrac12, b=-1, c=\dfrac12[/tex]

[tex]\implies F(s) = \dfrac12 \times \dfrac1{s-1} - \dfrac1{s-2} + \dfrac12 \times \dfrac1{s-3}[/tex]

[tex]\implies \boxed{f(t) = \dfrac{e^t}2 - e^{2t} + \dfrac{e^{3t}}2}[/tex]

Write an linear equation. Explain it in numbers please !! 20 points!!

Answers

Answer:

The slope-intercept form of a linear equation is y = mx + b. In the equation, x and y are the variables. The numbers m and b give the slope of the line (m) and the value of y when x is 0 (b). The value of y when x is 0 is called the y-intercept because (0,y) is the point at which the line crosses the y-axis.

What is 1 2/3 divided by 1 5/6

Answers

Answer:

10/11

Step-by-step explanation:

ve thirds Conversion a mixed number 1 5/ 6 to a improper fraction: 1 5/6 = 1 5/ 6 = 1 · 6 + 5/ 6 = 6 + 5/ 6 = 11/ 6 To find a new numerator: a) Multiply the whole number 1 by the denominator 6. Whole number 1 equally 1 * 6/ 6 = 6/ 6 b) Add the answer from previous step 6 to the numerator 5. New numerator is 6 + 5 = 11 c) Write a previous answer (new numerator 11) over the denominator 6. One and five sixths is eleven sixths Divide: 5/ 3 : 11/ 6 = 5/ 3 · 6/ 11 = 5 · 6/ 3 · 11 = 30/ 33 = 3 · 10 / 3 · 11 = 10/ 11 Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 11/ 6 is 6/ 11 ) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 3 gives 10/ 11 . In other words - five thirds divided by eleven sixths = ten elevenths.

Each notebook contains 60 sheets of paper. Andre has 5 notebooks. How many sheets of paper do Andres
notebooks contain?
Find the solution

Answers

Answer:

300

Step-by-step explanation:

60 * 5 = 300

Triangle ABC is isosceles. It is reflected across the y- axis and then translated up 1 unit to form triangle ABC.

Answers

Answer:

Step-by-step explanation:

Answered here: https://brainly.com/question/26774005

hexadecimal numbers to decimal (base-10) numbers. 51) 4D 53.) BC2​

Answers

In hexadecimal/base-16, we have B₁₆ = 11, C₁₆ = 12, and D₁₆ = 13, so

4D₁₆ = 4 × 16¹ + 13 × 16⁰ = 77

and

BC2₁₆ = 11 × 16² + 12 × 16¹ + 2 × 16⁰ = 3010

Let f(x)=cos(x)x^-2
F’(x)=

Answers

[tex]f(x)=cos(x)x^{-2}\implies f(x)=\cfrac{cos(x)}{x^2}\implies \cfrac{df}{dx}=\stackrel{\textit{quotient rule}}{\cfrac{-sin(x)\cdot x^2-cos(x)\cdot 2x}{(x^2)^2}} \\\\\\ \cfrac{df}{dx}=\cfrac{-x[x\cdot sin(x)+2cos(x)]}{x^4}\implies \cfrac{df}{dx}=\cfrac{-[xsin(x)+2cos(x)]}{x^3}[/tex]

Complete each statement using <, >, or =. Use your number line to explain your reasoning

Answers

Answer:

<

Step-by-step explanation:

Y'all I don't understand this

Answers

Answer:

Step-by-step explanation:

x-axis and y-axis meet at (0, 0), that is the origin

HELP THIS IS URGENT NEED TODAY!!!!!!!!!!!!!
Marvin earns $7.75 per hour at his summer job. He wants to buy a video game system that costs $193.75.
Enter an equation to model the relationship between the number of hours worked h and the amount earned e.

Answers

Answer:

If he earns (e) $7.75 per hour, this implies e = 7.75h.

Step-by-step explanation:

If you wanted to solve that-

e = 7.75h

193.75 = 7.75h

Divide both sides by 7.25  

h = 25

Select proportional or not proportional to correctly classify the pair of ratios 1.8/7.2 and 0.4/1.6

Answers

Answer: proportional

Step-by-step explanation: just took the quiz

What is the range?
5 2 4 6 0 0

Answers

Answer:

You find the range by subtracting the smallest value from the highest in the set. So in this case, it would be 5-0=0

Step-by-step explanation:

Hope This Helps

Have A Great Day

~Zero~

The answer is 0

Because you should subtract: 5 - 0 = 0
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