A rectangular garden has a walkway around it. The area of the garden is 6(5.5x + 2.5). The
combined area of the garden and the walkway is 7.5(8x +4). Find the area of the walkway around
the garden as the sum of two terms.​

Answers

Answer 1

Answer:The area of the walkway around is 26 x + 16 as the sum of two terms

Step-by-step explanation:

A rectangular garden has a walkway around it

1. The area of the garden is 4(4.5 x + 1.5)

2. The combined area of the garden and the walkway is 5.5(8 x + 4)

We need to find the area of the the walkway

To find the area of the walkway by subtracting the area of the

rectangle from the combined area

∵ The combined area = 5.5(8 x + 4) ⇒ simplify it

∴ The combined area = 5.5(8 x) + 5.5(4)

∴ The combined area = 44 x + 22

∵ The area of the garden = 4(4.5 x + 1.5) ⇒ simplify it

∴ The area of the garden = 4(4.5 x) + 4(1.5)

∴ The area of the garden = 18 x + 6

Now subtract the area of the garden from the combined area

∵ Area of the walkway = (44 x + 22) - (18 x + 6)

∴ Area of the walkway = 44x + 22 - 18 x - 6

- Add like terms

∴ Area of the walkway = (44 x - 18 x) + (22 - 6)

∴ Area of the walkway = 26 x + 16

The area of the walkway around is 26 x + 16 as the sum of two terms

Step-by-step explanation:


Related Questions

Find angles A, B, C, D, & E.

Answers

Answer:

Step-by-step explanation:

B = 35      {Alternate interior angles}

C = 75      {Corresponding angles}

D + 75 =  180 {Linear pair}

     D = 180 - 75

     D = 105

A = C   {Corresponding angles}

A = 75

E = A   {Alternate interior angles}

E = 75

a. 150km in 10 hours. How far will be travelled
in 7 hours?

Answers

Answer:

Your answer is 105km travelled in 7 hours.

Step-by-step explanation:

Divide 150km by 10 to find the amount of km travelled in 1 hour. Then multiply that answer by 7.

10 points!!
can someone please help me with this question

Answers

Answer:7 weeks

Step-by-step explanation:

( 4,2 ) dialated by a scale of 2

Answers

(4,2) —-> (8,4)
Answer: (8,4)

Alexa invested 54000 in an account paying an interest rate of 4% compounded continously . Assuming no deposits or withdrawals are mad, how long would it take, to the nearest year., for the value of the account to reach 106, 200

Answers

Answer:

17

Step-by-step explanation:

You and your friend are standing back-to-back. Your friend runs 10 feet forward and then 8 feet right. At the same time, you run 11 feet forward and then 12 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball?

Answers

Answer:

29 feet

Imagine you are on an open plane.

you walk 11 feet forward and your friend 10 feet. you are now 21 feet apart. now put imaginary walls that stopped both of you at that 21 feet.

now, you go 12 feet to your right, and your friend 8 feet to their right. imagine you are pushing a wall in front of you.

at that point the side walls are 20 feet apart.

you and your friend are at opposite corners of a 20 by 21 foot room.

at that point it's just a matter if applying the Pythagorium theory.

Which choice represents the expanded form of the expression, (x−2)^3?

Answers

(x-2) ^3

x^3-6x^3+12x-8

How many teaspoons are in 400 milliliters? 1tsp=5ml

Answers

Answer:

80 tea spoons

Step-by-step explanation:

400÷5=80

hope it helps

[tex] \frac{1}{5} \frac{x}{400} [/tex]

1x400/5=80/400

twelve times twelf equals ​

Answers

1212

Step-by-step explanation:

144

  °   •  .°•    ✯

  °   •  .°•    ✯   ★ *     °      °·                            

  °   •  .°•    ✯   ★ *     °      °·                             .   • ° ★ •  ☄

  °   •  .°•    ✯   ★ *     °      °·                             .   • ° ★ •  ☄▁▂▃▄▅▆▇▇▆▅▄▃▁▂

Answer:144

Step-by-step explanation:

URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

sure .

Step-by-step explanation:

I answer and then give me brainliest. sorry I am being rude

:/

Pts srry ........//.....


Sarah's pay for two weeks was
$158.16. If she worked 8 hours the
first week and 4 hours the second,
what was her rate of pay?
A $3.23 per hr B$22.60 per hr
C $13.18 D $31.64 per hr

Answers

The answer to the question is C.

help please! ill mark brainliest!

Answers

Answer:

The answer is 90

Step-by-step explanation:

When HI=GH

Then m<G=m<I= 45

m<H=180-(45+45)=90

If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything

What is 11.3 - 9.5 ?

Answers

Answer:

1.8

Step-by-step explanation:

11.3 - 9.5 = 1.8

Hope that helps!

1
0. Multi-Step Nathanial has a dog walking
business. He charges $3 for every 15 minutes
of walking. How much will Nathanial charge to
walk a dog for one hour?

Answers

Answer:

Nathanial will charge $12

Step-by-step explanation:

If he charges $3 per 15 minutes, one hour is 60 minutes. And 60 divided by 15 is 4 so you do 3x4 because he charges $3 per 15 minutes.

Hank has 3 kilograms of candy. How many grams of candy does he have?

Answers

Answer:

3,000 grams of candy

Step-by-step explanation:

1 gram = 1,000

so, 3 (1,000)= 3,000

Answer:

3000 grams

Step-by-step explanation:

to convert from kilograms to grams we multiply by 1000

so 3*1000=3000g

Please answer quick in test!

Answers

Answer:

The first one

Step-by-step explanation:

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⠉⠙⠛⠛⠛⠛⠻⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠈⢻⣿⣿⡄⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⣠⣶⣾⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣄⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⢰⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⡄⠀

⠀⠀⣀⣤⣴⣶⣶⣿⡟⠀⠀⠀⢸⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀

⠀⢰⣿⡟⠋⠉⣹⣿⡇⠀⠀⠀⠘⣿⣿⣿⣿⣷⣦⣤⣤⣤⣶⣶⣶⣶⣿⣿⣿⠀

⠀⢸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀

⠀⣸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⡿⠿⠿⠛⢻⣿⡇⠀⠀

⠀⠸⣿⣧⡀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀

⠀⠀⠛⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣰⣿⣿⣷⣶⣶⣶⣶⠶⠀⢠⣿⣿⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⣽⣿⡏⠁⠀⠀⢸⣿⡇⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⢹⣿⡆⠀⠀⠀⣸⣿⠇⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⣄⣀⣠⣴⣿⣿⠁⠀⠈⠻⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Carina is painting the outside of a square pyramid. The net for the pyramid is shown below. 3 cm 4 cm Enter the total surface area, in square centimeters, of the pyran that Carina will paint.​

Answers

My Alzheimer’s medicine running out the answer is

Brian is mowing his lawn. He and his family have 7.84 acres. Brian mows 1.29 1 acres on Monday, 0.85 acres on Tuesday, and 3.63 acres on Thursday. How many acres does Brian have left to mow? * 0 2.70 0 20.7 02.07 O 0.207​

Answers

Answer:

2.07

Step-by-step explanation:

I DID IT ON A CALCULATOR

The area of a 2D form is the amount of space within its perimeter. The area that is needed to be mowed by Brian is 2.07 acres.

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or other quadrilateral, multiply its length by its width.

The total area that is needed to mow is 7.84 acres. Given that Brian mows 1.291 acres on Monday, 0.85 acres on Tuesday, and 3.63 acres on Thursday. Therefore, the area already mowed by Brian can be written as,

[tex]\rm \text{The area already mowed by Brian} = 1.291 + 0.85 + 3.63= 5.771\ acres[/tex]

The area that is left to mow = Total area - Area already mowed by Brian

                                              = 7.84 - 5.771

                                              = 2.069 acres ≈ 2.07 acres

Hence, the area that is needed to be mowed by Brian is 2.07 acres.

Learn more about Area:

https://brainly.com/question/1631786

#SPJ2

When looking at a function graph, which value determines whether a graphed relation is a function or not? Domain or Range? Explain why.

Answers

It would be the domain, you can only have a unique y-value for each x, this is called the vertical line test. You can have the same y values for other points of y but not for the same point of x.

What is 0.65625 rounded to the nearest tenth of a percent?

Answers

Answer:

0.7

Step-by-step explanation:

Taryn buys 8 identical glasses. Her total is $48 before tax. How much did Taryn pay for each pair of glasses?

Answers

Answer:

$12 per pair of glass.

$6 per glass.

Step-by-step explanation:

48/8 = 6

A pair is 2, so I multiplied 6 by 2.

6 x 2 = 12

So, Taryn paired $12 per glass.

--

ANSWER: $12 per pair

EXPLANATION: $48 divided by 8 pairs of glasses equals $6 per glasses. So then you multiply 6 by 2 to get the amount per pair.

Save

If the basket had a total of 44 oranges, how many apples would the basket have? Draw a tape diagram to represent your answer

Answers

Answer: This makes no sense whatsoever. How would we know how many apples their were simply from the fact there are 44 oranges???  Was there more info we missed???

Step-by-step explanation:

A lacrosse player throws a ball into the air from a height of 8 feet with an initial vertical
velocity of 32 feet per second. What is the maximum height of the ball? When will the ball hit the ground?

Answers

Answer:

256

Step-by-step explanation:

Read the answer carefully and then you'll know hey i need to multiply 8 times 32.

And what do you get...... 256

Modeling the situation with a quadratic equation, it is found that:

The maximum height of the ball is of 60.2 feet.The ball hits the ground after 3.39 seconds.

Considering the gravity, the height of the ball, after t seconds, is given by the following quadratic equation.

[tex]h(t) = -4.9t^2 + v_0t + h_0[/tex]

In which:

[tex]v_0[/tex] is the initial velocity.[tex]h_0[/tex] is the initial height.

In this problem:

Height of 8 feet, thus [tex]h_0 = 8[/tex].Initial velocity of 32 feet per second, [tex]v_0 = 32[/tex]

The equation is:

[tex]h(t) = -4.9t^2 + 32t + 8[/tex]

Which is a quadratic equation with [tex]a = -4.9, b = 32, c = 8[/tex].

The maximum height is the output of the vertex, which is:

[tex]h_{MAX} = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]

Then, with the coefficients of this question:

[tex]h_{MAX} = -\frac{32^2 - 4(-4.9)(8)}{4(-4.9)} = 60.2[/tex]

The maximum height of the ball is of 60.2 feet.

It hits the ground at t for which [tex]h(t) = 0[/tex], thus:

[tex]\Delta = b^2 - 4ac = 32^2 - 4(-4.9)(8) = 1180.8[/tex]

[tex]t_{1} = \frac{-32 + \sqrt{1180.8}}{2(-4.9)} = -0.12[/tex]

[tex]t_{2} = \frac{-32 - \sqrt{1180.8}}{2(-4.9)} = 3.39[/tex]

We want the positive value, so:

The ball hits the ground after 3.39 seconds.

A similar problem is given at https://brainly.com/question/24626341

The area of a circular garden is 254.34 ft. Which of the following could be the approximate diameter of the garden?

Answers

If any of the possible answers are close to 18 that’s probably it.

Explain why it is important to write equivalent fractions before remaining.

Answers

Answer:

hope it helps the answer

please help me with this angle question :)

Answers

Answer:

its an acute angle

Step-by-step explanation:

its an acute angle be cause its small than a right angle

Answer:

angle AED =  70 degrees

angle x = 10 degrees

Step-by-step explanation:

since angle ABD = 110 degrees, major arc AED = 2(110) = 220 degrees

since angle ADB = 40 degrees, minor arc AB = 2(40) = 80 degrees

minor arc BD = 360 - 220 - 80 = 60 degrees

arc AB + arc BD = arc ABD

arc ABD = 80 + 60 = 140 degrees

angle AED = 1/2 (140) = 70 degrees

angle EAD = angle AED because isosceles

arc ED = 2(70) = 140 degrees

arc AE = arc AED - arc ED = 80 degrees

angle x = 1/2(arc AE - arc BD) = 1/2(80 -60) = 10 degrees

Classify this expression based on the number of terms: 4a^2+9ab^2-15b^3. A.Monomial B.Binomial C.Trinomial D.Polynomial

Answers

It is a trinomial because it has 3 terms.

what does s equal?pls help me plsss.

Answers

Answer:

s< -7/11

Step-by-step explanation:

solve the system of equations below.
y=2x-3
8x-5y=1
A) ( 7, 11 )
B) ( -2, -7 )
C) ( -1/3, -3 2/3 )
D) ( 2 3/11, 1 6/11 )

Answers

It is c and your welcome

Identify the best measure of Sin C

Answers

Answer:

[tex]\sin C=\frac{28}{35}[/tex]

Step-by-step explanation:

In a right triangle, [tex]\sin\theta =\frac{\text{opp}}{\text{hyp}}[/tex]. In this case, the side opposite to angle [tex]C[/tex] is 28 and the hypotenuse is 35. Therefore, the exact value of [tex]\sin C[/tex] is [tex]\boxed{\frac{28}{35}}[/tex].

Other Questions
PLEASE HELP!! Which of the following are considered skew lines? A- AC and CD B- DH and BFC- EG and FHD- AE and GH The proper angle for a ladder is about 75 from the ground. Suppose you have a 6 foot ladder. How highcan it reach?ht Why is myConcerto considered essential to Accenture's work with enterprisesystems? anybody please help me over here Which statement best explains Kennedys message in this excerpt?American citizens must be prepared for war.The United States is prepared to protect freedom.The United States is the greatest country in the world.American citizens have a history of protecting democracy. Refer to the passage."It is estimated that a total of seventy thousand private tube-wells were sunk during the 19691970 crop season in India, which brings about 1.4 million hectares of additional land under controlled irrigation, thereby greatly expanding the food production potential. It is estimated that at present less than half of the irrigation potential of India has been developed.If the high-yielding dwarf wheat and rice varieties are the catalysts that have ignited the green revolution, then chemical fertilizer is the fuel that has powered its forward thrust. The responsiveness of the high-yielding varieties has greatly increased fertilizer consumption. The new varieties not only respond to much heavier dosages of fertilizer than the old ones but are also much more efficient in its use. The old tall-strawed varieties would produce only ten kilos of additional grain for each kilo of nitrogen applied, while the new varieties can produce twenty to twenty-five kilos or more of additional grain per kilo of nitrogen applied. Consumption of nitrogen fertilizer in India has increased from fifty-eight thousand metric tons of nutrients in 19501951 to 538 thousand and 1.2 million metric tons in 19641965 and 19691970 crop cycles, respectively; and about sixty percent of this amount was produced domestically.Norman Borlaug, accepting the 1970 Nobel Peace Prize for his role in reducing hunger in India and PakistanHow is the position of farmers growing high-yield crops different from that of farmers growing traditional crops?Farmers growing high-yield crops use less land, causing them to follow a higher-density settlement pattern.Farmers growing high-yield crops are more likely to be self-sufficient and thus require less support from the rest of society.Farmers growing high-yield crops require a larger amount of water and are therefore restricted to land within the irrigated zone.Farmers growing high-yield crops require investment capital to fulfill their potential, but they can achieve profits and escape poverty. Eclipse Solar Company operates two factories. The company applies factory overhead to jobs on the basis of machine hours in Factory 1 and on the basis of direct labor hours in Factory 2. Estimated factory overhead costs, direct labor hours, and machine hours are as follows: Factory 1 Factory 2 Estimated factory overhead cost for fiscal year beginning August 1 $1,516,700 $1,074,600 Estimated direct labor hours for year 29,850 Estimated machine hours for year 52,300 Actual factory overhead costs for August $124,880 $98,910 Actual direct labor hours for August 2,700 Actual machine hours for August 4,350 Required: a. Determine the factory overhead rate for Factory 1. b. Determine the factory overhead rate for Factory 2. c. Journalize the Aug. 31 entries to apply factory overhead to production in each factory. Refer to the chart of accounts for the exact wording of the account titles. CNOW journals do not use lines for spaces or journal explanations. Every line on a journal page is used for debit or credit entries. Do not add explanations or skip a line between journal entries. CNOW journals will automatically indent a credit entry when a credit amount is entered. d. Determine the balances of the factory overhead accounts for each factory as of August 31, and indicate whether the amounts represent PLEASE HELP PLEASEEEEEEEEEEEEEE Rikki-Tikki-Tavi....... this war in an english family's home in.a) createb) foughtc) playedAnswer and I will give you brainly How do human change the Earth's surface?Human activities such as overpopulation can change the Earth's surface.Human activities such as driving cars can change the Earth's surface.Human activities such as mining and deforestation can change the Earth's surface.Human activities such as poaching can change the Earth's surface. 1. Use the triangle below to determine the values indicated: Do you think we should to school year or wait until next school year? What factors influence your decision ? Be sure explain details . The Difference of 4 and k, divided by 16. What did Winthrop mean by the phrase we shall be as a city upon a hill What is the greatest common factor for the following ratio, 7 : 56 Write an equation of the line with a slope of 3 and a y-intercept of 4 TRUE OR FLASE 12. During sleep the pituitary gland shuts down for the rest of the night.13. When a person has a nightmare they wake up in a sweat and don't rememberthe content of their dream. The value of a movie poster is increasing at a rate of 3.5% peryear. In 1990, the poster was worth $20.25. Find the value of theposter in 2013. X/8 = 3/12 what does x equal ? Please help I have 3 more questionsalso, the first person to answer correctly will get brainlyist.