A garden measuring 16 meters by 8 meters is going to have a walkway constructed all around the perimeter, increasing the total area to 240 square meters. What will be the width of the pathway?

Answers

Answer 1

Answer:

The width of the pathway is:

7 meters.

Step-by-step explanation:

To identify the width of the pathway, you must remember the area formula of a rectangle:

Area of a rectangle = length * width.

From which the width can be cleared:

Width of a rectangle = area / length.

We know that the length of the terrain was not modified since the pathway is in the perimeter of the rectangle (16 m) and that the new area is 240 m^2, so we only have to replace the cleared formula:

Width of a rectangle = 240 m^2 / 16 m = 15 m.

The new width is equal to 15 meters, but since the question is not the total width but the width of the pathway, the width of the previously provided land must be subtracted from the value obtained.

Pathway width = Total width - Garden width. Pathway width = 15m - 8m = 7 meters.

Related Questions

Starting at time t = 0, the altitude of one helicopter is given by A1 = 600 + 150t, and the altitude of a second helicopter is given by A2 = 1250 + 50t. Which equation represents the difference of their altitudes A at time t?

Answers

Answer:

The equation for difference in altitude of the two helicopters is A =  650 - 100t

Step-by-step explanation:

Given;

The altitude of one helicopter is, A1 = 600 + 150t

The altitude of a second helicopter is,  A2 = 1250 + 50t

Their difference in altitude, A at time t, is calculated as

A₂ - A₁  = A = (1250 + 50t) - (600 + 150t)

A₂ - A₁  = A =  1250 + 50t - 600 -150t

A₂ - A₁  = A = 1250 - 600 + 50t - 150t

A₂ - A₁  = A =  650 - 100t

Therefore, the equation for difference in altitude of the two helicopters is A =  650 - 100t

Put these numbers in order, smallest to largest.
0.59 0.509 0.5 0.9 5.9

Answers

Answer:0.5<0.509<0.59<0.9<5.9

Step-by-step explanation:

Maths

Answer:

0.5,0.509,0.59,0.9,5.9

Step-by-step explanation:

What is the value of |–2|?
A- 1
B- –2
C- 0
D- 2

Answers

Answer:

D) 2

Step-by-step explanation:

Absolute values are never negative, so B is wrong. Absolute value is the distance from zero, in this case, 2.

How many smiley faces should Shawn draw next to Patrick's name?
A)
1


B)
2

C)
4

D)
8

Answers

D one :) for each sale

A population is growing continuously at a rate of 5%. If the population is now 3400, what will it be in 17 years? Round to the nearest thousand.

Answers

Answer:

In 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792

Step-by-step explanation:

Here we have that the formula for population presented as follows;

[tex]A = P(1+r)^t[/tex]

Where:

A = Population after growth

P = Original population = 3400

r = 5% = 0.05

t = Time = 17 years

Population growing at a rate of 5% is thus given by the plugging in the above values into the population growth formula thus;

[tex]A = 3400 \times (1+0.05)^{17} = 7792.86[/tex]

Since we are presenting data relating to number of people, we round alwys down as the statistics should represent the number of whole people on ground.

Therefore, in 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792.

Answer:

Step-by-step explanation:

The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^ t

Where

y represents the population after t years.

t represents the number of years.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 3400

r = 5% = 5/100 = 0.05

t = 17 years

Therefore

y = 3400(1 + 0.05)^17

y = 3400(1.05)^17

y = 3400 × 2.2920183178

y = 7800 to the nearest thousand

325,310,289,288,285,285,285,280,273. the mean of the set is 290 pounds what is the mean absolute deviation of the data set,to the nearest whole number

Answers

Answer:

276

Step-by-step explanation:

Help pleaseeeeeeeeeeeeee

Answers

Theoretically, on a number cube, each side has an equal chance. There are 6 sides, and 2 is one of the sides, so then you subtract 1/6, which would leave you with 5/6.

D. 5/6

please help asap, will mark brainlest. Thanks

Answers

Answer:

2.

4x^2 + 4 - 5x + x - 2x^2 + 8

= (4x^2 - 2x^2) + (x - 5x) + (4 + 8)

= 2x^2 - 4x + 12

=> D is correct

3.

2x^2 + 6x - 7x + 8 - 3x^2 + 1

= (2x^2 - 3x^2) + (6x - 7x) + (1 + 8)

= -x^2 - x + 9

=> C is correct

4.

B is correct (4 and 3)

Hope this helps!

:)





Ms. Augustine is playing a game with her class. When a student tells her a number, she uses a rule to determine the new number. Ms. Augustine always uses the same rule. The table below shows some of the results.



What would the number be when the student says 8?


A. 58

B. 56

C. 54

D. 50

Answers

Answer:

When a student tells her a number, she uses a rule to determ

Step-by-step explanation:

Get the answers ... When a student tells her a number, she uses a rule to determine the new number. Ms. Augustine always uses the same rule. The table below shows some of the results. What would the number be when the student says 8? A. 58. B. 56. C. 54

Answer:

58

Step-by-step explanation:

what is the first step in solving for “b”?

Answers

Answer:

c

Step-by-step explanation:

Answer:

c)

Step-by-step explanation:


7. For a period of time, an island's population of rabbits grows at a rate proportional to its population. If the
population doubles every 17 years and the current population is 196, what will the population be 45 years from
now?

can someone help me with this? i’m desperate

Answers

Answer:

The answer is 784

Step-by-step explanation:

You divide 17 from 45 it will equal 2.647 years technically 2 year that the population has doubled.

You multiply 196 by 2 and do that a second time to get 784.

Will Give Brainliest!!!! On Time Limit Hurry Please Wrong answer will be deleted!!
Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation? (negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot) (negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot) {–12, 2} {–2, 12}

Answers

Answer:

x = - 12, x = 2

Step-by-step explanation:

Given

x² + 10x = 24

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(5)x + 25 = 24 + 25

(x + 5)² = 49 ( take the square root of both sides )

x + 5 = ±  = ± 7 ( subtract 5 from both sides )

HOPE THIS HELPS

Answer:

x  =  2 ,  − 12

Step-by-step explanation:

Use the formula  ( b /2 ) (^)2  in order to create a new term. Solve for  x  by using this term to complete the square.

Please send help I really need your help

Answers

Answer:

#4: 4 hits

Step-by-step explanation:

At first, you are given the ratio 1/37 which you can scale to 148 by dividing and multiplying both by. So you divide 148/37 to reach 4 and then multiply 4 by 1 to find out that about four hits will prbably be made.

Answer:

the answer for number four is four and number five is 39

I am not sure about number 5 plz check                                                             somebody.

Step-by-step explanation:

Solve the following system of equations.
x-2y = 10
y = -6x +34

I have 9 more questions so please answer all

I have 9 more please answer all

Answers

Answer:

x = 6, y = -2

Step-by-step explanation:

x-2y = 10

y = -6x +34

Substitute the second equation into the first for y

x - 2(-6x+34) = 10

Distribute

x +12x - 68 = 10

Combine like terms

13x -68 = 10

Add 68 to each side

13x - 68+68 = 10+68

13x = 78

Divide each side by 13

13x/13 = 78/13

x = 6

Now find y

y = -6x+34

y = -6(6)+34

y = -36+34

 =-2

Answer:

x = 6 y = -2

Step-by-step explanation:

x-2y = 10

x = 10 + 2y

y = -6x +34

y = -6(10 + 2y) + 34

y = -60 - 12y + 34

13y = -26

y = -2

x = 10 + 2(-2)

x = 10 - 4

x = 6

please help:)))))))))))))

Answers

Answer: The area is 103.5

Step-by-step explanation: The question becomes very simple once you know how to split this object into objects that you most likely know how to solve the area of. In truth, if you split the shapes in triangles and rectangles, you would find 4 rectangles and a triangles. Once you have solved the area of all of them, you would just have to add. How I solved it goes like this. I added 22.5 as the triangle, 35 as a rectangle, 2 as another rectangle, 18 as another rectangle, and 26 as the final rectangle.(take note that these numbers are the areas of the split shapes) If you added correctly, you would get 103.5

10) A spinner has an equal chance of landing
on each of its four numbered regions. You
spin twice. The first spin lands in region
one and the second spin lands in region
one.
Are the events independent or dependent?
What is the probability?

Answers

Answer:

independent and 1/16

Step-by-step explanation:

independent because you are not getting it you are just spinning.

1/4 times 1/4

i may be wrong on this

hi does anyone know the answer

Answers

Answer:

153.938040026...

Step-by-step explanation:

Remember Apple Pies R 2

A=π*r²

Remember Cherry Pie Delicious

C=π*d

Answer:

Area = 49 π cm²

Step-by-step explanation:

Radius = Diameter / 2 = 14 / 2 = 7 cm

Area = π r ²

Area = π (7)²

Area = 49 π cm²

WIll give brainliest help!!!

Answers

Answer:

d

Step-by-step explanation:

Answer:

C. 35

Step-by-step explanation:

7/40=x/200

200/40 x 7=35

Which binomial is a factor of the quadratic trinomial x2 − 7x + 12? A. (x + 2) B. (x − 6) C. (x + 3) D. (x − 4)

Answers

Answer:

D

Step-by-step explanation:

To factor a quadratic you need to think about what adds up to the b coefficient (the number in front of b) and multiplies to the constant. 3 and 4 do these, but you also know that you have -7 instead of positive 7. A negative times a negative is equal to a positive, which you can do (x-3)(x-4) to equal your quadratic trinomial.

pls help pls its hard ....

Answers

Answer:

(1,5)

Step-by-step explanation:

plug in the x and y values to see if they are equal in the equation. If not, then you know the answer is wrong.

Answer: if you need help ask

Step-by-step explanation:

First you start by finding a problem

Next you ask someone to help you with the problem, simple :)

As of 2008 the worlds population was about 6.7 billion people. The population of the United States in 2008 was 305 million. In 2008 what percent of the world’s population was the US population?

Answers

Answer:

In 2008 the US population was 4.55% of the world population.

Step-by-step explanation:

In order to calculate the percent of the world population that represents the US population, we can apply a rule of three in such a way that the world population is related to 100% in the same proportion that the US population is related to x%. We then solve for x. This is shown below:

6.7*10^9 -> 100%

305*10^6 -> x%

6.7*10^9 / 305*10 ^6 = 100 / x

6.7*10^3 / 305 = 100 / x

(6.7*10^3)*x = 305*100

x = 30500 / (6.7*10^3)

x = 4,55 %

In 2008 the US population was 4.55% of the world population.

Answer: 6.76 109

Step-by-step explanation:

What is the value of x?
A.2
B.3
C.6
D.7

Answers

Answer:

A

Step-by-step explanation:

Given 2 secants from a point outside the circle.

Then the product of the external part and the entire secant of one secant is equal to the product of the external part and the entire secant of the other secant, that is

(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)

(x + 1)(x + 12) = (x + 4)(x + 5) ← expand both sides

x² + 13x + 12 = x² + 9x + 20 ← subtract x² + 9x from both sides

4x + 12 = 20 ( subtract 12 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2 → A

What is 25 percent of 48?

Answers

Answer:

12

Step-by-step explanation:

Divide 48 into 4 parts

Answer:

(25:100)*48=

(25*48):100=

1200:100=12

Answer=12

52.5 ft

25 ft

22 ft

18.18 ft
for the picture below

Answers

Answer:

18.1818181  Feet

Step-by-step explanation:

Divide 27.5 by 20 to establish a ratio between the length and width of the house, then multiply your new ratio by 25. Units do not matter, as long as it's not like 27.5 mm high by .05 ft wide.

What is the value of x in the figure? Enter your answer in the box.

Answers

Answer:

x = 65

Step-by-step explanation:

2x + 15 and 145 are vertical angles and congruent, thus

2x + 15 = 145 ( subtract 15 from both sides )

2x = 130 ( divide both sides by 2 )

x = 65

Answer:65

Step-by-step explanation:

2x+15=145. Because opposite angles are equal

2x+15=145

Collect like terms

2x=145-15

2x=130

Divide both sides by 2

2x/2=130/2

x=65

Karen has a coupon for $1.52 off any
candy related item. She decides to buy
a package of 9 chocolate bars that
normally costs $10.25. If Karen uses
her coupon, what will the price per
chocolate bar be?

Enter​

Answers

Answer:

$8.73 per package of candy bars

Step-by-step explanation:

10.25 - 1.52=

A flagpole casts a shadow that is 25 feet long. A signpost near the flagpole is 3 feet tall, and it casts a shadow that is 5 feet long. How tall is the flagpole?

Answers

Answer:

The ratio of shadow should be kept, then we have: x/25 = 3/5

=> x = 25 x 3/5 = 15

=> The flagpole is tall 15 feet

Hope this helps!

:)

Answer:

15 feet

Step-by-step explanation:

Length : shadow

3 : 5

X : 25

X/25 = 3/5

X = 25 × 3/5

X = 15

A land bridge from Asia to the Americas was made possible by which of the following?

A) archaeologists

B) the development of stone tools

C) last Ice Age

D) prehistoric people

Answers

Answer:

C, Last Ice Age

Step-by-step explanation:

A land bridge wouldn't be developed by humans. The only reasonable explanation would be the last Ice Age

A land bridge from Asia to the Americas was made possible by the last Ice Age.  So, the correct answer is C.

What is Land Bridge?

A land bridge is an isthmus or wider land connection between otherwise separate areas, over which animals and plants are able to cross and colonize new lands.

A land bridge from Asia to the Americas was made possible by the last Ice Age.

During the last Ice Age, much of the Earth's water was locked up in glaciers, causing sea levels to drop and exposing a land bridge between Asia and North America.

This allowed prehistoric people to migrate from Asia to the Americas, a journey that would not have been possible without the land bridge created by the last Ice Age.

Hence, A land bridge from Asia to the Americas was made possible by the last Ice Age.  So, the correct answer is C.

To learn more on Land Bridge click:

https://brainly.com/question/17471924

#SPJ6

Which is the largest amount of liquid? A. one quart
B. one cup
c. one milliliter
D. one liter
E. one pint

Answers

Answer:

one pint

Step-by-step explanation:

This is because one pint is larger than one cup, there are two cups in a pint.

One milliliter is way smaller than one liter and there are 0.473176473 liters in a pint.

Answer:

pint

Step-by-step explanation:

1 Pint is equal to 0.47317647299 liter.

Liter and Pint are the largest on there, and pint is bigger.

Hope this helps! :)

Complete number one which is b and c for 9 points

Answers

Step-by-step explanation:

b) [tex] I= prt\implies r = \frac{I}{pt} \\[/tex]

c) [tex] I= prt\implies t = \frac{I}{pr} \\[/tex]

Answer:

1.

B. i/Pt = Prt/Pt

i/Pt = r

C. prt/pr = i/pr

t=i/pr

Step-by-step explanation:

Pretty Easy with Algebra and Geometry.

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