A pool measures 15 feet by 17 feet. A cement walkway is added around the pool, to both the width and the length. The area of the pool and the cement walkway is now 483 square feet. What is the width of the cement walkway?

Answers

Answer 1

Answer:

3 feet

Step-by-step explanation:

The diagram showing the pool and the walkway has been attached to this response.

The area of the pool = 15feet x 17 feet = 255 square feet

The total area of the pool and the walkway = 483 square feet

The area of the walkway is the difference between the total area and the area of the pool. i.e

Area of walkway = total area - area of pool

Area of walkway = 483 - 255 = 228 square feet

Now, from the diagram, the walkway can be seen as four rectangles - A, B, C and D - all with a width of x.

Area of rectangle A = (17 + 2x) * x = 17x + 2x²

Area of rectangle B = (17 + 2x) * x = 17x + 2x²

Area of rectangle C = 15 * x = 15x

Area of rectangle D = 15 * x = 15x

Area of walkway = Area of rectangle A + Area of rectangle B + Area of rectangle C + Area of rectangle D

228 = [17x + 2x²] + [17x + 2x²] + [15x] + [15x]

228 = 64x + 4x²

4x² + 64x - 228 = 0

Divide through by 4

x² + 16x - 57 = 0

Now let's solve the quadratic equation:

x² - 3x + 19x - 57 = 0

x(x - 3) + 19(x - 3) = 0

x - 3 = 0     or     x + 19 = 0

x = 3          or      x = -19

Since width cannot be negative, the correct solution is x = 3

Therefore, the width of the walkway is 3 feet

A Pool Measures 15 Feet By 17 Feet. A Cement Walkway Is Added Around The Pool, To Both The Width And

Related Questions

Sandy ran 3/8 of a mile in 3/4 at this rate how far did she run

Answers

Answer:

she ran 1 1/8  miles

4 rational numbers that are not whole Numbers

Answers

Answer:

see below (I hope this helps!)

Step-by-step explanation:

Whole numbers are the integers that are greater or equal to 0. Basically, they are 0, 1, 2, 3....

Rational numbers can be written in the form a / b (where b ≠ 0 and a and b are integers (integers are ..., -1, 0, 1, ...))

Therefore, 4 rational numbers that are not whole numbers could be -5, -1, 0.5, and 3/4.

The sum of 20 numbers is 9. If each number were to be increased by 0.03, what is the sum of the 20 numbers in the end​

Answers

Given that :-

Sum of 20 numbers is 9

To find

Sum of these numbers after increasing each number by 0.03

Solution :-

→ We have to increase each number by 0.03. It means that we have to add 20 times 0.03.

→ So the increase in sum of number will be 20(0.03)

20(0.03) = 0.6

→ Earlier sum was 9.

After increase oof 0.6 new sum is 9+0.6

Answer is 9.6

Find the length of AC¯¯¯¯¯¯¯¯ A. 36.5 B. 46.97 C. 74.63 D. 45.07

Answers

Answer:

[tex]a \: 36.5[/tex]

Step-by-step explanation:

cos51° = AC/58

AC = cos51° x 58

AC = 36.5

Answer:

The answer is option A

Step-by-step explanation:

Since the figure above is a right angled triangle we can use trigonometric ratios to find AC.

To find AC we use cosine

cos∅ = adjacent / hypotenuse

From the question

AC is the adjacent

AB is the hypotenuse

So we have

[tex] \cos(51) = \frac{AC}{AB} [/tex]

[tex]AC = 58 \cos(51) [/tex]

AC = 36.5

Hope this helps you

Adding and subtracting
(6x²)-(2x)​

Answers

Answer:

[tex]\huge \boxed{{2x(3x-1)}}[/tex]

Step-by-step explanation:

[tex](6x^2)-(2x)[/tex]

Apply rule : [tex]-(a)=-a[/tex]

[tex]6x^2-2x[/tex]

The expression cannot be simplified further.

Factor out 2x from the expression.

[tex]2x(3x-1)[/tex]

Answer:

[tex](6x {}^{2}) - (2x)[/tex]

Remove unecessary parentheses

[tex]6x {}^{2} { - 2x}[/tex]

Solution

[tex]6x {}^{2} - 2x [/tex]

What is the smallest integer n such that 5n + 3 > -10

Answers

Answer:

[tex]solution set={n/n > -13/5}[/tex]

Step-by-step explanation:

[tex]5n + 3 > -10\\subtracting 3 on both sides\\5n + 3-3 > -10-3\\5n > -13\\n > -13/5 is the answer[/tex]

hope it will help :)

Isolate n:

5n + 3 > -10

Subtract 3 from both sides:

5n > -13

Divide both sides by 5:

n > -13/5

n > -2.6

An integer is a whole number, so the smallest whole number that would make the statement true would be -2:

5(-2) + 3 = -10 +3 = -7

5(-3) + 3 = -15 + 3 = -10

Since -7 is greater than -10, the answer is -2

Hello please help me
Idk if the answer is 16 or 19

4 - 16 ÷ 4 + 4²

Answers

The answer is 16 because you have to do the exponents, than the division, then the subtraction, and lastly, the addition.

According to the diagram, point B lies on how many faces of the pyramid? three one two four

Answers

Answer:

it lies on 4 faces hope it helps

Answer:

The answer is four.

Step-by-step explanation:

Draw the graph of the equation 2x+5y=13

Answers

Answer:

slope= -2/5 y intercept= 13/5

Step-by-step explanation:

1. convert to slope-intercept form form

2.  5y= -2x+13

3. y= -2/5x+ 13/5

4. The slope is -2/5 and your y intercept is 13/5

5. Now you can graph it and rember your slope is rise/run or change in y/ change in x.  

solve by showing work -15 - (-12)

Answers

Answer:

-3

Step-by-step explanation:

-15 - (-12) = -15 + 12 = -3

The answer is -3 you can put tht in a calculator and it gives u the exact answer just btw

help me please :( i will give brainly ;))

Answers

Step-by-step explanation:

a) Distance between Aranville t o Bowtown = 24 miless

b) Bowtown and Dovebury are furthest apart.

c) Toatl distance = 20 + 37 = 57 miles

Find the volume of the rectangular prism. 9 ft 9 ft 9 ft​

Answers

Answer: 729

Assuming each unit is L x W x H, 7 x 7 x 7 = 729, so thats the volume.

A pair of supplementary angles in ratio of 4:5.find them here

Answers

Answer:

one angle 100

another angle=80

Step-by-step explanation:

supplementary angles =180

4x+5x=180

9x=180

x=180/9=20

one angle=5x=5(20)=100

another angle=4x=4(20)=80

100+80=180

Answer:

[tex] \boxed{ \boxed{ \bold{ \purple{80 \: , 100}}}}[/tex]

Step-by-step explanation:

Let the ratios be 4x and 5x

[tex] \sf4x + 5x = 180[/tex] ( sum of supplementary angle )

Collect like terms

⇒[tex] \sf{9x = 180}[/tex]

Divide both sides of the equation by 9

⇒[tex] \sf\frac{9x}{9} = \frac{180}{9} [/tex]

Calculate

⇒[tex] \sf{x = 20}[/tex]

Value of x = 20

Now, let's replace the value,

⇒[tex] \sf4x = 4 \times 20 = 80[/tex]

⇒[tex] \sf5x = 5 \times 20 = 100[/tex]

Hope I helped!

Best regards!!

-1 7/8 times 2 9/10
I’m stuck on this any help?

Answers

Answer:

Exact form: -87/16

decimal from -5.4375

mixed number form -5 7/16

Step-by-step explanation:

I'ma god at math

Answer: -29/80

Explanation:

-1 7/8 = -8/8 + 7/8 = -1/8

2 9/10 = 20/10 + 9/10 = 29/10

=> -1 7/8 x 2 9/10
= (-1/8)(29/10)
= -29/80

slope.
31) through:(-1,-4). slope = -9
Please help

Answers

Answer:

Step-by-step explanation:

y + 4 = -9(x + 1)

y + 4 = -9x - 9

y = -9x - 13

Is 2.3454128904 irrational

Answers

Answer:

yes

Step-by-step explanation:

irrational numbers are the numbers which cannot be written as simple fractions

Pls help me ooo Pls it's urgent : Solve:a-(7-a)=5

Answers

Answer: a=6

Step-by-step explanation:

a-(7-a)=5

a-7+a=5

2a-7=5

2a=12

a=6 :)

Answer:

[tex]\Huge \boxed{a=6}[/tex]

Step-by-step explanation:

[tex]a-(7-a)=5[/tex]

We need to isolate the [tex]a[/tex] variable on one side of the equation to find the value.

Distribute the negative sign.

[tex]a-7+a=5[/tex]

Combine like terms.

[tex]2a-7=5[/tex]

Add 7 to both sides of the equation.

[tex]2a=12[/tex]

Divide both sides of the equation by 2.

[tex]a=6[/tex]

A positive two-digit number is written at random. Determine the probability that the number will be at least 75. Please put answer in the form of a fraction.

Answers

Answer:

5/18

Step-by-step explanation:

Positive two-digit numbers are:

Numbers in 10 - 99 interval

Total two-digit numbers:

99 -9 = 90

Number of two-digit numbers ≥ 75:

99 - 74 = 25

Probability that the number is at least 75:

25/90 = 5/18

Answer is 5/18

Solve for q 3(q+4/3)=2

Answers

Answer:

q = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Given

3(q + [tex]\frac{4}{3}[/tex] ) = 2 ← distribute left side

3q + 4 = 2 ( subtract 4 from both sides )

3q = - 2 ( divide both sides by 3 )

q = - [tex]\frac{2}{3}[/tex]

Jacques determines the remainder of −17x53+12x9−5x2−11x+1, using the remainder theorem. How does he proceed to the correct answer? A- Jacques evaluates the numerator of the expression when x=−1. He finds the remainder of the division to be −11. B- Jacques evaluates the numerator of the expression when x = 1. He finds the remainder of the division to be −21. C- Jacques evaluates the numerator of the expression when x = 1. He finds the remainder of the division to be −11. D- Jacques evaluates the numerator of the expression when x=−1. He finds the remainder of the division to be −21.

Answers

Answer:

Jacques evaluates the numerator of the expression when x=−1. He finds the remainder of the division to be −11.

Step-by-step explanation:

Got 100% on the test.

A roof of the house including its base is in the shape of right prism with a
triangular base with the dimensions shown.
What is the approximate surface area of this prism?

Answers

The required surface area of given triangular prism is 391.2 cm².

What is surface area?

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
In the figure,

From the figure,
length = 14 cm
height = 6.9 cm
base = 8 cm
Surface area of the prism = bh + 3bl

Surface area of the prism = 8×6.9 + 3×14×8
                                       = 391.2 cm²

Thus, the required surface area of given triangular prism is 391.2 cm².

Learn more about the surface area here: https://brainly.com/question/2835293

#SPJ5

Answer: 391.2

Step-by-step explanation:

Let me know if im wrong and ill change the answer

is 112 between 10 and 11?

Answers

i’m gonna go on a limb and say no

Graph 2 + 3y = 6. Please hurry

Answers

Answer:

Step-by-step explanation:

A ship is 5 miles east and 2 miles north away
from port and then it is 3 miles east and 8
miles south away from port. Write the linear
model algebraically.
I need help ASAP please

Answers

Answer:

Step-by-step explanation:

A ship is 5 miles east and 2 miles north away

from port and then it is 3 miles east and 8

miles south away from port. Write the linear

model algebraically.

I need help ASAP please

Find the value of x. A. 15 B. 28 C. 20 D. 40

Answers

Answer:

A. 15

Step-by-step explanation:

When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Hence,

(2x + 15)° = 1/2[(10x + 20)° - 80°]

2(2x + 15)° = (10x - 60)°

4x + 30 = 10x - 60

60 + 30 = 10x - 4x

90 = 6x

90/6 = x

15 = x

x = 15

is 91.7% rational or irrational​

Answers

Answer: Hi! 91.7% is a rational number. Because...

Step-by-step explanation: rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. Hope this helps!

Please Help: 0.125r - 0.0625 + 0.25r = 0.25 + r

Answers

Answer:

r=0.5

Step-by-step explanation:

0.125r+0.25r-0.0625=0.25+r

0.375r-0.0625=0.25+r

0.375r-r=0.25+0.0625

-0.625r=0.3125

r=0.3125/0.625

r=0.5

Help on Answering number four and please check my answers!

Answers

Answer:

→BA

→CD

Step-by-step explanation:

We have points

← A B C D →

We have    →BA

which is a ray going to the left

and

→CD

which is a ray going to the right

If:
AC=26,
BC=7x + 2, and
AB = 9x + 8
Find BC!

Answers

Answer:

BC = 9

Step-by-step explanation:

Given AC = 26

BC=7x + 2

AB = 9x + 8  

Since BC and AB are two parts of AC. Therefore we can write in the following form.

AC = AB +BC

Now insert the given values in the above formula.

26 = 9x + 8 + 7x + 2

26 = 16x + 10

26 – 10 = 16x

16 = 16x

x = 16 / 16  

x = 1

Now insert x = 1 in BC=7x + 2

BC = 7 (1) + 2

BC = 9

Mr. Rush wants to store 20.5 cups of spaghetti sauce in containers. Each container holds a maximum of 2.5 cups of sauce. What is the minimum number of containers Mr. Rush needs to hold all of the spaghetti sauce? 1 point

Answers

The answer is 9

Explanation:

We know the total amount of spaghetti sauce is 20.5 cups; additionally, each container can be filled with a maximum of 2.5 cups of this sauce. In this context, the process to know the number of containers Mr. Rush needs to store all the sauce is to divide the total amount by the amount each container can hold.

20.5 cups of sauce ÷ 2.5 cups per container = 8.2 containers

This means 8 containers can be completely filled and a ninth container is required to hold the small amount of the sauce missing (0.2)

Other Questions
Solve 5h + 2(11 - h) = -5 (Find h. Explain each step please.) Please help, thank you! Compare Northwestern highlands and coastal lowlands A hollow steel shaft is to transmit 4200 n.m of torque and is to be sized so that the torsional stress does not exceed 120 mpa The Harvest Gypsies: Which of the following most closely defines will as it is underlined below? He will not look directly at you for that requires will, and will needs strength. He is a bad field worker for the same reason. It takes him a long time to make up his mind, so he is always late in moving and late in arriving in the fields. His top wage, when he can find work now; which isnt often, is a dollar a day. Question 29 options: a) noun | determination or strength b) noun | a legal document containing instructions for what to do with a persons property after their death c) verb | to try to make something happen d) verb | to grant or bestow What is the difference between 53 and 27 Plz help me I am dumb Change this sentence into passive voice You can store small packages in the overhead compartment. 8 + 5 x (11 - 5) - 9Please help me Suppose you observed that bees prefer a yellow flower that produces more nectar over a purple flower that produces less nectar. List two separate hypotheses that you might make about bees and flowers. At a certain hospital, the probability of a child being born female is 0.51. If 80 babies are born on the a certain day, the probability that more than half of these babies are female is closest to? a. 0.61, b. 0.70, c. 0.39, d. 0.47, 0.53 (I will award you the brainiest) Factor completely:3x (x+6) - 4(x2+6) John Maynard Keynes and Karl Marx would agree most about the answer towhich question?O A. Should governments take total control over economies?B. Are precious metals a good measure of economic strength?O C. Do free market economies create problems for workers?D. Is it right for strong countries to control weaker colonies? In the game of roulette, a wheel consists of 32 slots numbered 00, 0, 1, 2, . . . , 30. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. Complete parts (a) through (c). (a) Determine the sample space. Choose the correct answer below. A. The sample space is {00, 0, 1, 2, . . . , 30}. B. The sample space is {00}. C. The sample space is {00, 0}. D. The sample space is {1, 2, . . . , 30}. (b) Determine the probability that the metal ball falls into the slot marked 3 and Interpret this probability by choosing the correct answer below. A. If the wheel is spun 100 times, it is expected about 31 of those times to result in the ball landing in slot 3. B. If the wheel is spun 1,000 times, it is expected about 31 of those times to result in the ball landing not in slot 3. C. If the wheel is spun 1,000 times, it is expected about 31 of those times to result in the ball landing in slot 3. (c) Determine the probability that the metal ball lands in an odd slot and Interpret this probability by choosing the correct answer below. A. If the wheel is spun 100 times, it is expected about 47 of those times to result in the ball landing in an odd number. B. If the wheel is spun 1,000 times, it is expected about 31 of those times to result in the ball landing in an odd number. C. If the wheel is spun 1,000 times, it M is the midpoint of line segment AB Which statement correctly describes the condensationof a gas? NEED HELP ASAP!! Angles of Elevation and Despression! Need to find x! Round to the nearest tenth!! Each State shall appoint, in such Manner as the Legislature thereof may direct, a Number of Electors, equal to the whole Number of Senators and Representatives to which the State may be entitled in the Congress: but no Senator or Representative, or Person holding an Office of Trust or Profit under the United States, shall be appointed an Elector. --Constitution, Article 2.1 Find the surface area of the composite figure. need help asap. Thank You |12| = 12 True or False please help!!!!! 8. Give an example of how applied science has had a direct effect on your daily life.