You have a garden in your backyard that measures 15 meters by 20 meters. You want to place stepping stones around the perimeter of the garden. The area of the new garden (original garden + stone placed around the perimeter) is 336m². What is the width of the stone border? (Assume the border has the same width around the entire perimeter.) Equation used = bi Width of stone border = meters​

Answers

Answer 1

Answer:

0.5 m

Step-by-step explanation:

Given that the dimensions of the garden are 15 meters by 20 meters.

The area of the new garden (original garden + stone placed around the perimeter) is 336m².

Let d be the width of the border having stepping stones as shown in the figure. The shaded region in the figure is the area having stepping stones.

The area including the shaded region [tex]= (15+2d)(20+2d) m^2[/tex]

[tex]\Rightarrow 336 = (15+2d)(20+2d) \\\\\Rightarrow 336 = 300+ 70 d +4d^2 \\\\\Rightarrow 4d^2 +70d+300-336=0 \\\\\Rightarrow 4d^2 +70d-36=0 \\\\\Rightarrow 2d^2 +35d-18=0 \\\\\Rightarrow 2d^2 +36d-d-18=0 \\\\\Rightarrow (2d-1)(d+18)=0 \\\\\Rightarrow (2d-1)=0, \; or \; (d+18) \\\\\Rightarrow d= 0.5\;or -18 \\\\[/tex]

As the width of the stone border can't be a negative value, so taking the positive value.

Hence, the width of the stone border is 0.5 m.

So, the wi


Related Questions

What fraction of 2 ½ is ⅘ ?

Answers

Answer:3 1/8Hope this helps!!:D

Question 6
Distance = 72 km, Time = 2 hours,
speed = ? km/h

please help me:)

Answers

Answer:

36 kilometers per hour

Step-by-step explanation:

you divide 72 by two, as easy as that

Solve for n:

24=3(n−5)

Answers

Answer:

N = 13

Step-by-step explanation:

Answer:

N=13

Step-by-step explanation:

twenty three thousand in decimal form

Answers

Answer:

0.230

take it well

The  twenty-three thousandths in decimal form should be considered as the 0.023.

Computation in decimal form:

Since we have to write  twenty-three thousandths in decimal form

In numericals it should be like 23000

so here in decimal form it should be like 0.023.

hence, The  twenty-three thousandths in decimal form should be considered as the 0.023.

Learn more about decimal here: https://brainly.com/question/13463508

What is the area of this polygon on a coordinate plane?
20 square units
9 square units
3 square units
14 square units

Answers

Answer:

14

Step-by-step explanation:

count the amount of squares inside the shape.

The area of this polygon is 14 units on a coordinate plane.

What is area of rectangle?

Area of rectangle is defined as product of the length and width.

Length of large rectangle = 5 units

width of large rectangle = 4 units

Length of small rectangle = 3 units

width of small rectangle = 1 unit

Required area of polygon = large rectangle - 2 × small rectangles

Required area of polygon = 5×4 - 2×(3×1)

Required area of polygon = 20-6

Required area of polygon = 14 units

Hnece, the area of this polygon is 14 units on a coordinate plane.

Learn more about Area of rectangle

https://brainly.com/question/20693059

#SPJ2

what is -4(3t-9)>8(8-t)​

Answers

Answer:

Inequality Form:

t < −7

Interval Notation:

(−∞,−7)

Answer:

t < -7

t ∈ ( -∞, -7 )

Step-by-step explanation:

-4 ( 3t - 9 ) > 8 ( 8 - t )

1. Distribute

-4 ( 3t - 9 ) > 8 ( 8 - t )

-12t + 36 > 64 - 8t

2. Inverse operations ans simplifying

-12 t + 36 > 64 - 8t

+12t                  + 12t

36 > 64 + 4t

-64   -64

-28 > 4t

/4     /4

-7 > t

Which of the following best describes the slope of the line below?
O A. Positive
OB. Negative
O C. Undefined
O D. Zero


Answer is - zero

Answers

Answer is- D- (Zero)

Stella buys a one-pint bottle of juice for $2.72. What is the unit rate of the
cost of the juice per fluid ounce?

Answers

Answer:

Step-by-step explanation:

8 fluid ounces in a cup

two cups in a pint

16 fluid ounces in a pint

divide 2.72/16 to get your answer of $.17 a fluid ounce

Use the following to answer questions 7-9:
David's Donut shop charges a flat fee of $2.59 plus $0.38 per mile to deliver donuts to
your party.
7. Which linear equation below can David use to charge his customers for the donuts?
a. y = 2.59x + .38
b. y - .38x – 2.59
d. y = .38x + 2.59
c. y = 38 + 2.59

Answers

Answer:the third one .38x+2.59

Step-by-step explanation:

No amount of donuts yet so that’s why it’s x and there’s a regular fee of 2.59 so that’s why it’s the answer

A die is rolled 200 times with the following results.

Outcome

1

2

3

4

5

6

Frequency

32

36

44

20

30

38

What is the experimental probability of rolling the given result?


a prime number


a.

0.45

c.

0.71

b.

0.55

d.

0.73



Please select the best answer from the choices provided


A

B

C

D

Answers

Answer:

B

Step-by-step explanation:

2 3 and 5 are all prime.

Chance of rolling 2 = 36/200 = 0.18

Chance of rolling 3 = 44/200 = 0.22

Chance of rolling 5 = 30/200 = 0.15

Total =                                          0.55

Answer:

I think it's B.

Look at the graph.

On a coordinate plane, a graph increases through (negative 1, 4), levels off at (0, negative 3), and then increases up through (2, 5).

Leslie analyzed the graph to determine if the function it represents is linear or non-linear. First she found three points on the graph to be (–1, –4), (0, -3), and (2, 5). Next, she determined the rate of change between the points (–1, –4) and (0, -3) to be StartFraction negative 3 minus (negative 4) Over 0 minus (negative 1) EndFraction = StartFraction 1 Over 1 EndFraction = 1. and the rate of change between the points (0, -3) and (2, 5) to be StartFraction 5 minus (negative 3) Over 2 minus 0 EndFraction = StartFraction 8 Over 2 EndFraction = 4. Finally, she concluded that since the rate of change is not constant, the function must be linear. Why is Leslie wrong?​

Answers

Answer:

Its D

Step-by-step explanation:

Leslie is wrong because her conclusion is wrong. If the rate of change is not constant, then the function cannot be linear.

The correct option is D.

What is a Linear Function?

A function is said to be linear when the rate rate of change is constant for all the points on the graph.

The points of the graph are  (–1, –4), (0, -3), and (2, 5).

The rate of change from  (–1, –4) to  (0, -3) is

(-3 -(-4)) / (0-(-1)) = 1

The rate of change from (0,-3) to (2,5) is

(5+3)/(2-0) = 4

The rate of change is not constant and so the function cannot be linear.

Leslie is wrong because her conclusion is wrong. If the rate of change is not constant, then the function cannot be linear.

The correct option is D.

The missing options are attached with the answer.

To know more about Linear Function

https://brainly.com/question/21107621

#SPJ2

The function f(x) contains the point (-2,4), which point is contained in f -1(x)? A. (-4,2) B. (-2,-4) C. (4,-2) D. (2,-4)

Answers

9514 1404 393

Answer:

  (4, -2)

Step-by-step explanation:

If (x, y) is part of the relation f, then (y, x) will be in the inverse relation f^-1.

The point contained in f^-1(x) is (4, -2).

_____

Additional comment

The range of f is {2, -4, -2, -4}, which has -4 repeated. That means the inverse relation is not a function. We can say that (4, -2) is a point contained in the inverse relation, but we cannot say that f^-1(x) is a function.

Help me, solve for x

Answers

Answer:

x=1°

Step-by-step explanation:

62x+118 =180(corresponding angles)

62x = 62

x = 1°

Answer:

x = 1

Step-by-step explanation:

∡D and ∡E are sumplemmentary angles,

then:

D + E = 180°

then:

62x + 118 = 180

62x = 180 - 118

62x = 62

x = 62/62

x = 1

Given the relation R = {(-2, 3), (a, 4), (1,9), (0,7)}.
Which replacement for a makes this relation a function
O4
0-2
00

Answers

Answer:

The answer would be 4

Step-by-step explanation:

you can’t have repeating numbers in a function.

Solve the system of linear equations by elimination.
2x – y=0
3x – 2y = -3

Answers

Answer:

Point form: (3,6)

Equation form: x=3, y=6

Step-by-step explanation:

Add the equations in order to solve for the first variable. Then plug this value into the other equations in order to solve for the remaining variables.

Find the slope. Pls help ill give brainliest ^^

Answers

-3/2 is the answer I think because you count down 6 and it’s a negative slope

735+427+527+4777-526+526 times 7 plz it’s due at 1:00

Answers

Answer:

45262

Step-by-step explanation:

Answer: 45,262

Step-by-step explanation:

Someone please help!
g(n)= n^2 + 5 f(n)= 3n+5
Find g(n)/f(n)

Answers

Answer:

n^2+5/3n+5

Step-by-step explanation:

does N equal something?

8P + 2 > 3P - 15
I need help plsss it has to be in terms of a mixed number

Answers

Answer:

p > -17/5

Step-by-step explanation:

is it right or wrong? if its wrong please let me know math is not my strong side if its wrong ill try to do it again for you

What is the solution to y + 8.5 = 17.2?
y = 25.7
y = -25.7
y = -8.7
y = 8.7

Answers

Answer:

Y = 8.7

Step-by-step explanation:

Hope this helps. Pls give brainliest.

The answer have to be Y=8.7

YALL MY STOMACH IS MAKING SOME WEIRD NOISES IM DYING SOMEONE SAVE ME

Answers

Answer: either eat something or go to the bathroom or you may be an alien

Jo estimated the quotient of –41.71 divided by –6.03 by rounding each to the nearest integer. What is Jo’s error?

Answers

Complete Question

Jo estimated the quotient of –41.71 divided by –6.03 by rounding each to the nearest integer. What is Jo’s error? a) Negative 42 divided by negative 7 = 6

b) Jo should have rounded the dividend to –40

c) Jo should have rounded the divisor to –6.

d) Jo should have divided –7 by –42. e) Jo should have divided –7 by –7

Answer:

c) Jo should have rounded the divisor to –6.

Step-by-step explanation:

Jo estimated the quotient of –41.71 divided by –6.03 by rounding each to the nearest integer.

Nearest integer

Dividend = -41.71 = -42

Divisor = -6.03 = -6

Jo's error was that she should have rounded the divisor to -6

Hence: -42 ÷ -6 = 7

Quotient = 7

B :)

the other guy did good explaining but he said C instead of B

The info is in the picture!

Answers

Answer:

No.

Step-by-step explanation:

The inverse of g(x) is -2x/3+8/3 which does not match with f(x)

Whoever can answer this correctly gets Brainliest + 20 Points! Make sure to explain to me how you got your answer so I can understand and be on the same page as you.

Answers

Answer:

1.

Step-by-step explanation:

both A and B are functions

WILL GIVE BRAINLIEST!! ANSWER ASAP
A system of equations is shown below:

2x = −y + 6
−4x + 3y = 8

What is the solution to this system of equations? (5 points)

(−1, −4)
(1, 4)
(4, 1)
(−4, −1)

Answers

Answer: its a

Step-by-step explanation:

If Jim works at Fire Fighting Equipment, has $32,874 in sales in one week, and as paid a weekly salary of $452 plus a commission of .9% on sales between $15,000 and $25,000, with 1.1% paid on sales in excess of $25,000, no commission is paid on the first $15,000, what is his gross earning?

Answers

Answer:

Gross income= $813.61

Step-by-step explanation:

Giving the following information:

Sales= $32,874

Fixed salary= $452

Commission= 1.1% paid on sales in excess of $25,000.

To calculate the gross income, we need to use the following formula:

Gross income= 452 + y*x

y= percentage comission

x= sales

For $32,874 sales:

Gross income= 452 + 0.011*32,874

Gross income= $813.61

Plz help I’m you guessed it desperate

Answers

Answer:

C.

Step-by-step explanation:

It is parallel? This is what I would put

Anyone know this? Ill give brainliest if right pls help ^^ :)

Answers

Answer:

2

Step-by-step explanation:

Since you're only looking at salt and you want 4 times as much all you need to do is multiply 1/2 with 4 and the result is 2.

Answer:

2 Teaspoons

___________________________________________

So, we know that the original amount for salt is 1/2.

So, we do 1/2 x 4

1/2 x 4 = 2

So, the answer is 2

HOPE THIS HELPS!!!

I NEED A SUPER SONIC FOR THIS PLEASE!!!!

Answers

Answer:

x=4

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Explain how you would multiply the following problem *SHOW AND EXPLAIN STEPS PLZZZ*
(1 + 7)(2-47)

Answers

Answer:

-360

Step-by-step explanation:

step1 doing the numbers in  bracket

    = (8)(-45)

step2 multiply the numbers

    =(8*-45)

    =-360

Other Questions
how does the amazonian lily fight for light Read the passage from Animal Farm. All through that summer the work of the farm went like clockwork. The animals were happy as they had never conceived it possible to be. Every mouthful of food was an acute positive pleasure, now that it was truly their own food, produced by themselves and for themselves, not doled out to them by a grudging master. With the worthless parasitical human beings gone, there was more for everyone to eat. Which detail best supports the central idea that the animals felt pride in growing and supplying their own food? All through that summer the work of the farm went like clockwork. The animals were happy as they had never conceived it possible to be. Every mouthful of food was an acute positive pleasure, now that it was truly their own food. With the worthless parasitical human beings gone, there was more for everyone to eat. How do you say "April 13th" in Spanish?O A. El treinta de abrilO B. El treinta y uno de abrilO C. El tres de abrilO D. El trece de abril What type of reaction is Mg + CI -> MgCI2?A. Double-replacement B. Synthesis C. Single-replacement D. Decomposition Which Image Personifies the House of Usher?A) the mere house B) the few rank sedges C) the vacant eye-like windowsD) the simple landscapes features of the domain y82164328Find the constant of proportionality (r) in the equation y=rn.MYT=CoYour Jinswer should bea simplified proper fraction, like 3/5a simplified improper fraction, like 74StuclMYPro can someone pls help me with this! Nicki rides her bike at a constant speed for 6 km. That part of her ride takes her 1 h. She then rides her bike at a constant speed for anotherkm. That part of her trip takes her 2 h. What is her average speed? HELP ASAP PLEASEEE Question 3 of 10Which action must you take before starting to make an electromagnet out ofconnecting wires, a battery, an ammeter, and a magnetic core wrapped inwire?A. Cover the ammeter with the same insulation that is on the wires.B. Remove the wire that is wrapped around the magnetic corematerial.C. Wrap the battery with insulated wire.D. Remove the insulation from the ends of the connecting wires.SUBMIT The national percentage of automobile accident fatalities that are alcohol related is 39%. In a random sample of 96 automobile accident fatalities in the state of Connecticut, 44 were alcohol related. Is this sufficient evidence to say that Connecticut has a higher percentage of alcohol related automobile fatalities? Does Anyone Know This? During a snowstorm, snow fell at a constant rate for a number of hours. Then it stopped snowing for a number of hours. Then it started up again at a different constant rate. Nolan made a graph showing the inches of snow on the ground over time using the data that he collected. yeah help me please...................... (8.1 + 7.9)x (25 5)x Is a product of the environments influence on the organism *Acquired TraitsDominant TraitsRecessive TraitsInherited Traits So ive seen this question before on brainly but i know the answers arent right, im just not sure which ones are which. Help? please help!!!!!!!!!!!!! En red socks and ten blue socks are all mixed up in a dresser drawer. The 20 socks are exactly alike except for their colour. The room is in pitch darkness and you want two matching socks. What is the smallest number of socks you must take out of the drawer in order to be certain that you have a pair that match? Help with me on these plz!!!! :) these are the steps taken to produce a final result