A rectangular swimming pool measures 40 ft by 60 ft and is surrounded by a path of uniform width around the four edges. The perimeter of the rectangle formed by the pool and the surrounding path is 248 ft. Determine the width of the path.

Answers

Answer 1

Answer:

6ft

Step-by-step explanation:

Lets x = the width of the path the surrounding path will add 2x to the pool dimension,therefore over all dimesion: (2x+40) by (2x+60) the overall perimeter (2x + 40) + 2(2x+60) = 248 Simplify divide by 2, result (2x+40) +(2x+60) = 124

Combine like terms 2x + 2x +40 +60 =124

4x + 100 = 124

4x=124 = 100

4x=24

x=24/4

x= 6ft is the width of the path

check this by finding the perimeter with these values; 2x = 12 ft

2 ( 12 + 40 ) + 2( 12 +60 )

2( 52 + 2(72)

104 + 144 = 248; confirms our solution of x= 6 ft


Related Questions

15-3x=-6 what is the answer​

Answers

Answer:

x=7

Step-by-step explanation:

On a United States map, 1 inch represents
240 miles. Using this scale, find the distance
represented by 3.5 inches.

AND

On a California map, 1 inch represents 150 miles. Using this scale, find the distance represented by 2.5 inches.

Answers

5. C
6. B
Steps on paper

The perimeter of a rectangular sheet is 100 cm. if the length is 35 cm, find its breadth. Also find the area.​

Answers

Answer:

breadth: 15, area: 525

Step-by-step explanation:

Answer:

Breadth = 15cm

Area = 525cm^2

Step-by-step explanation:

We know that the perimeter of a rectangluar sheet is 100cm, and we know that the length is 35cm. We are then being asked to find the breadth and the area.

Use the information that we know to solve the breadth, get b alone :

Length = 35cm

2(l + b) = 100

Substitute :

2(35 + b) = 100

Divide 2 from both sides :

35 + b = 50

Subtract 35 from both sides :

b = 15cm

Now for the area :

Area = Length * Breadth

Substitute :

A = 35 * 15

A = 525cm^2

can you solve it using a method? and show work

Answers

Answer:

There are always three ways to solve a system of equationsThere are three ways to solve systems of linear equations: substitution, elimination, and graphing. Let's review the steps for each method.

HELP ME I WILL GIVE BRAINLIEST I PROMISE!!!!!!!!!

Answers

Answer would be 5 bc he uses 6 cups of yogurt per cup of olive oil so you would divide 30 by 6, which gives you five, hope that helps :)

factorise completely 4ab+6ac-6bd-9cd​

Answers

Answer:

(2b+3c) × (2a-3d)

Step-by-step explanation:

plz mark as brainliest

The factors of 4ab+6ac-6bd-9cd are (2a-3d) and (2b+3c).

What are factors?

Factors are those numbers or expressions which when together be multiplied results the same numbers whose factors they are. It can be found for equations and expressions as well. It includes those number which divides the given number to get another factor value.

How to find factors?

We have been given expression 4ab+6ac-6bd-9cd and we have to find the factors of the expression.

Factorization can be done as under:

Expression=4ab+6ac-6bd-9cd

=2a(2b+3c)-3d(2b+3c)

[we have to take common expression from two terms like we did above]

=(2a-3d)(2b+3c)

Hence the factors of expression 4ab+6ac-6bd-9cd are (2a-3d) and (2b+3c).

Learn more about factorization at https://brainly.com/question/25829061

#SPJ2

PLZ help i do know the answer to this already from another brainly question but i just would like to understand how its solved so please help. This figure consists of a rectangle and a quarter circle.

What is the perimeter of this figure?

Use 3.14 for π.

Enter your answer as a decimal in the box.

Answers

Answer:

66.56 cm

Step-by-step explanation:

The figure consist of:

1. A rectangle with sides 10 cm and 17 cm2. A quarter circle

The perimeter is:

P = 1/4C + 2*10 + 17 + (17 - 8) + 8 P = 1/4*2*3.14*8 + 54 = 66.56 cm

The value of (1-w) (1-w*2) , where w is the cube root of the complex number is?

Answers

Answer:

3

Step-by-step explanation:

1+ω+w²=0

ω³=1

(1-ω)(1-ω²)=1-ω²-ω+ω³

=1-ω-ω²+1

=2+1-1-ω-ω²

=3-(1+ω+ω²)

=3-0

=3

1) Dan ate 1/12 of a pumpkin, while Sandy ate 1/2 of a pumpkin. In total, how much pumpkin did these two eat?

Answers

Answer:

1 pumpkin

Step-by-step explanation:

1/2 + 1/2 is 1. They ate 1 pumpkin in total.

1 pumpkin
1/2+1/2( half + half)=1

3x^2 + 4x -8 = 0 How many solutions will there be?

Answers

Answer:

Step-by-step explanation:

Liam had63 markers, Alex has 49 markers, and Oliva has 77 markers use the GCF and

Answers

Answer:

and.....? look im only answering for the points m'lady. all i know is that olivia has, alex has, and liam HAD.

Step-by-step explanation:

Answer:

Step-by-step explanation:

63 = 3 * 3 * 7

49 = 7 * 7

77 = 7 * 11

So the GCF = 7.

LCM = 7 * 7 * 3 * 3 * 11 = 4851.

What is the least common denominator of the rational expressions below?
1/x^2 - 4/3x^2+15x

Answers

Answer:

The LCD is 3x²

The other two denominators can be factors of 3x²

Step-by-step explanation:

To get the equivalent fractions, divide the original denominator into the LCD, then multiply the original numerator by the quotient.

For the first term: 1/x²

3x² ÷ x² = 3 3×1=3 The equivalent is 3/3x²

Second term: Leave it as it is.

For the third term: 15x

The implied denominator is 1

3x² ÷ 1 = 3x² 3x² × 15 = 135x²

The equivalent is 135x²/3x²

To check the validity, substitute a value for x and calculate the numbers.

For example let x = 3

The original expression becomes

1/3² + 4/3(3²) - 15(3)

1/9 + 4/27 - 45

With the LCD it is

3/27 + 4/27 - 1215/27

Answer:

3x^2(x+5)

Step-by-step explanation:

hope this helps

Find the equation of a line perpendicular to -3x + 5y = -1 that contains the point (0, -5)

Answers

Answer:

y = -5/3x - 5

Step-by-step explanation:

convert -3x + 5y = -1 to slope-intercept form:

5y = 3x - 1

y = 3/5x - 1/5

slope of a line perpendicular to the above equation would be -5/3

y = mx + b

-5 = -5/3(0) + b

b = -5

y = -5/3x - 5

Can you show me the steps that you took to get the answer for this question?

Answers

x=47 because m1+m2=90°
The answer is C.
If measure of 1 + measure of 2 = 90
And measure of 1 = x
And measure of 2 = x - 4
You would have the equation of
X + X - 4 = 90
So then you combine like terms
2x - 4 = 90
Then you add 4 on both sides
2x - 4 = 90
+ 4 + 4
2x = 94
Then you divide by 2 to get x alone
And x = 47

What is 1/7 of 28% of 8,000

Answers

Answer:

320

Step-by-step explanation:

A=1/7 * .28 *8000 = 320

Answer: 320

Step-by-step explanation: 1/7*28 of 8000

What will the area be?


Include the appropriate unit in your answer.

Answers

Answer:

Step-by-step explanation:

area of triangle = ½(base)(height)

= ½(25 m)(12 m)

= 150 m²

the radius of a circle is 2 kilometers. What is the circles circumference. Use 3.14 for pie

Answers

Answer: 12.56

Step-by-step explanation:

-18 = –1(x – 11) solve this equation

Answers

Answer:

X= 29

Step-by-step explanation:

Answer:

x = 29

Step-by-step explanation:

Let's solve your equation step-by-step.

−18=−1(x−11)

Step 1: Simplify both sides of the equation.

−18=−1(x−11)

−18=(−1)(x)+(−1)(−11)(Distribute)

−18=−x+11

Step 2: Flip the equation.

−x+11=−18

Step 3: Subtract 11 from both sides.

−x+11−11=−18−11

−x=−29

Step 4: Divide both sides by -1.

-x/1 = -29/-1

hope this helped:')

Write an equation of the line in​ point-slope form that passes through the given points.
(1,5) and (-5,4)

Answers

Answer:

y-5=1/6(x-1)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-5)/(-5-1)=-1/-6=1/6

slope is 1/6

y-y1=m(x-x1)

y-5=1/6(x-1)

Evalua la siguiente
expresión algebraica si
X=3 Y=2
3x + 4y =

Answers

Answer:

3x + 4y = 17

Step-by-step explanation:

Espero y te haiga ayudado :)

Can you guys help me answer this? It's kinda urgent

Answers

B, D, E they all equal 40/9

A decreased by 20% and then increased by 20% express using algebra
asapppppp

Answers

Answer:

96%

Step-by-step explanation:

assume the whole number is x

the first thing is decreasing by 20 %

x - 20%x = 80% x

then now the 80%x is the whole number  

now It's the turn of increasing

80%x + 20% * (80% x) = 80%x + 16%x = 96% x

I hope this is hlepful to you !!!!

Feel free to ask me in the comments

Explain how to use patterns or sequences to determine the last digit of the number 7N, where N is the four-digit year of your birth.

Answers

Ahh this is a good hard question, hopefully someone comes along and helps you out with it. Goodluck my friend!

Given two points (-3, 1) and (4, -1) are on a line. Write an equation in slope-
intercept form of the line.
y=____x+____

Answers

Answer:

y=-2/7x+1/7

Step-by-step explanation:

Find the slope first

-1-1/4+3

-2/7

m=-2/7

y=-2/7x+b

1=-2/7(-3)+b

b=1/7

graph this inequality x ≤ 4

Answers

Answer:

Step-by-step explanation:

Graphing this equality would shade everything including and to the left of the vertical line x=4.

As a laboratory assistant, you measure chemicals using the metric system. For your current research, you need to measure out 45 grams of sodium chloride. The bottle you are using lists the amount in ounces. About how many ounces of sodium chloride will you need?

Answers

Answer:

1.58733 ounces

Step-by-step explanation:

45 grams = 1.58733 ounces

(grams to ounces calculator online)

Which expression is undefined?

Answers

Answer:

C. 4/0

Step-by-step explanation:

You can't divide 4 by 0.

A. you would have gotten -0.5

B. you would have gotten 0

D. you would have gotten 0

Hope this help!! :)

Answer:

C. [tex]\frac{4}{0}[/tex]

Step-by-step explanation:

you cannot divide by zero, therefore option C is the correct choice because [tex]\frac{4}{0}[/tex] means 4 ÷ 0.

if 0 was the numerator, like in [tex]\frac{0}{4}[/tex] or 0 ÷ 4, the answer would be 0 because 0 divided by 4 is 0. this can be kind of confusing at times, but just remember that as long as 0 is the denominator in a fraction (meaning the 0 is under the fraction bar), the answer will always come out as undefined because you can't divide by 0.

i hope this helps! have a great day <3

Write the equation for the perpendicular bisector of a segment that has endpoints (1, –4) and (3, 2).

Answers

Answer:

y = -⅓x-⅓

Step-by-step explanation:

what is the answer to 20×5=​

Answers

100! glad i could help :)
Answer: 100

Hope this helps

y=-4x +9 Identify the rate of change

Answers

Answer:

the rate of change is -4

Step-by-step explanation:

it's set up as y=mx+b

m is the rate of change

b is the y-intercept

m= -4

b=9

Answer:

f ( x ) = [tex]x^{2}[/tex] , [ 2 , 3 ]

− 4

Step-by-step explanation:

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