A rectangular garden is surrounded by a path of uniform width 3m. If breadth of the garden is 40m and area of the path is 588m², find the length of the garden.​

Answers

Answer 1

Answer:

52 m

Step-by-step explanation:

Width of the path = 3 mBreadth of the garden = 40 mLength of the garden = xArea of the path = 588 m²

Area of the path is the difference of the of full area and the area of the garden.

Full area will have the sides:

40 + 3*2= 46 and x + 3*2 = x + 6

Area of the garden is

40*x

So the difference is:

588 = (x + 6)*46 - 40*x588 = 46x + 6*46 - 40x588 = 6x + 2766x = 588 - 2766x = 312x = 312/6x = 52 m

The length of the garden is 52 m


Related Questions

The sum of b and 9 is 12 less than 20

A. 12-20=9-b
B. b+9=20-12
C. 9b=12-20
D. 9-b=20-12

Answers

Answer:

Step-by-step explanation:

THE ANSWER IS B

QUICK! 10 points! Which of the following inequalities is correct?

-5 > 0
-2 > -5
-5 < -8
10 < -13

Answers

Answer:

The inequality that is correct is -2>-5

Step-by-step explanation:

The "lesser" the number is for negative the greater I actually is. For instance if you take -67 and -100, although -100 may seems greater, it is actually less than -67. Hope this helps

Shade to as equal parts. What fraction does the shaded portion model ?

Answers

Answer:

2 over 3

Step-by-step explanation:

3 is how many parts there are in total. you have shaded 2 of those parts

what are the factors of x^2 + 3x -4 ?​

Answers

Answer:

1 and -4

Step-by-step explanation:

cause when you factor the equation its (x-1)(x+4)

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(x + 4) and (x - 1)}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ {x}^{2} + 3x - 4}[/tex]

Find the two numbers that multiplies to 4 and subtracts to 3. The numbers are 4 and 1

[tex] \dashrightarrow{ \sf{ {x}^{2} + (4 - 1)x - 4}}[/tex]

[tex] \dashrightarrow{ \sf{ {x}^{2} + 4x - x - 4}}[/tex]

Take x as common

[tex] \dashrightarrow{ \sf{x(x + 4) -x - 4}}[/tex]

Take 1 as common

[tex] \dashrightarrow{ \sf{x(x + 4) - 1(x + 4)}}[/tex]

[tex] \dashrightarrow{ \sf{(x + 4)(x - 1)}}[/tex]

Hope I helped!

Best regards! :D

solve for the value of x 1+6.9x=-1.8+5.9x

Answers

Answer:

x=-2.8

Step-by-step explanation:

[tex]1+6.9x=-1.8+5.9x\\\\1-1+6.9x=-1-1.8+5.9x\\\\0+6.9x=-2.8+5.9x\\\\6.9x=-2.8+5.9x\\\\6.9x-5.9x=-2.8+5.9x-5.9x\\\\1x=-2.8+0\\\\x=-2.8[/tex]

Scientists were monitoring the temperature of a solution. It began at 63°F, and the temperature changed by 8°F over the course of 6 hours.

The final temperature of the solution was a minimum of __°f and a maximum of __°f

Answers

Answer:55&71

Step-by-step explanation: The 6 hours is unnecessary info. 63-8=55 and 63+8=71.

The final temperature have the minimum should be 55 and the maximum should be 71.

Calculation of the minimum & maximum:

Since It began at 63°F, and the temperature changed by 8°F over the course of 6 hours.

So here the minimum should be

= 63-8

= 55

And, the maximum should be

= 63 + 8

= 71

Learn more about temperature here; https://brainly.com/question/18875024

How much warmer is it when the temperature is 17 degrees farenheit then when it is negative 11 degrees​

Answers

Answer:

6

Step-by-step explanation:

17 - 11 = 6

<hope i helped>

4. Six workers are hired to weed a field by
hand. Each is given a plot which is 9x11
feet in size. What is the total area of the
field?

Answers

Answer:

594 square feet

Step-by-step explanation:

Area of a rectangle is length times width. We can find the area of each workers plot by multiplying 9 and 11 to get 99 sq feet. There is six workers, and therefore six plots of land, so we'd take our 99 sq feet and count that six times to get 594 square feet.

Answer:

594 square feet

Step-by-step explanation:

The______of the rectangular prism is 52 square units because LaTeX: 8+8+6+6+12+12=528+8+6+6+12+12=528+8+6+6+12+12=52.

Answers

I believe its area I'm doing the same thing


if you can answer any of these please do and put the question number by the answer

Answers

Answer:

33. D.1/3

34. D. y= x+4

35. Slope= -2/3 Y-intercept= -6

Step-by-step explanation:

For number 33. D. 1/3 is the correct answer.

Start at the point (0,2) Then, Go up 1 and Right 3.

As a result, you land in the point (3,3) This proves that the slope is 1/3.

Note: the line is increasing and going upwards, so the slope is positive.

For number 34. D. y=x+4 is the correct answer.

When writing an equation of a line, the correct format is y=mx+b. We are given both m and b. So all we have to do is plug these values into the equation y=mx+b. As a result, we get y=1x+4, which also means y=x+4

For number 35. The Correct answer is: Slope= -2/3 Y-intercept= -6

For this question I can't see all the answer choices but I know that the  Slope is -2/3  and the Y-intercept is -6. Here's why: First you need to transform the equation 2x+3y=-18 into y=mx+b format. To do this, subtract -2x from both sides of the equation and you are left with 3y=-18-2x. You can flip -18 and -2x which makes the equation 3y=-2x-18. The next step is to divide both sides of the equation by 3, which gives you y=-2/3x-6. This means Slope= -2/3 and Y-intercept= -6

NEED HELP!!! WILL MARK BRAINLIEST!!!

Answers

Answer:

Baboom

Step-by-step explanation:

7.7/3.6 = 2.3b

b= 2.3 × 3.6/7.7

b= 2.3 × 0.47

b=

1.081

________________________________________

v

=

4.3377

_______________________________

x = 22.88672035

byron earns $11.00 per hour will byron have to work to earn $143.00?

Answers

Answer:

13 hours

Step-by-step explanation:

143/11=13

13x11=143

Answer: Byron would have to work 13 hours

Step-by-step explanation: To find the answer, divide 143 by 11. This will give the total amount of hours he will have to work to earn $143. And the answer is 13.

[tex]100 divided\frac{5}{6}[/tex]

Answers

Answer:1/3(9) no problem dawg

Step-by-step explanation:

WILL GIVE BRAINLIEST! Use Vieta’s formulas to find the sum and the product of the roots of the equation: y^2−19=0 y1+y2= ? y1 * y2= ?

Answers

Answer:

y1+y2=0; y1*y2 = -19

Step-by-step explanation:

We have y^2-19=0

Let's solve the equation

y^2=19

y=sqrt(19); y= - sqrt(19)

From there you can solve for the answer ;)

Find two fracrions in between 2/7 and 3/7 whose numerator and denominator are whole numbers

Answers

Answer:

7/21 and 8/21

Step-by-step explanation:

2/7 can be also written as 6/21 and 3/7 as 9/21

so, fraction in between 6/21 and 9/21 is 7/21 and 8/21

The two fraction in between 2/7 and 3/7 are 7/21 and 8/21.

Here,

We have to find two fraction in between 2/7 and 3/7.

What is Whole number?

The numbers which is start from 0 (zero) are called whole number.

Now,

The fraction 2/7 can be also written as,

[tex]\frac{2*3}{7*3} = \frac{6}{21}[/tex]

And, The fraction 3/7 can be also written as,

[tex]\frac{3*3}{7*3} = \frac{9}{21}[/tex]

Hence, we get;

[tex]\frac{6}{21} , \frac{7}{21} ,\frac{8}{21} ,\frac{9}{21}[/tex]

Therefore, The two fraction in between 2/7 and 3/7 are 7/21 and 8/21.

Learn more about the fraction visit:

https://brainly.com/question/26836561

#SPJ2

Find the distance between A and B of A is (-7,-3) and B is (5,2)

Answers

Answer:

(12,5) is the distance when you count manually

If pennies and dimes come in rolls of 50 coins each, while nickels and quarters come in rolls of 40 coins each, how many dollars is 5 rolls of pennies, 6 rolls of nickels, 7 rolls of dimes, and 8 rolls of quarters?

Answers

The answer to your question is:
Pennies = $ 2.50
Nickels = $12
Dimes =$35
Quarters= $80

We will have $129.5 of 5 rolls of pennies, 6 rolls of nickels, 7 rolls of dimes, and 8 rolls of quarters.

Given:

Pennies ( $0.01 ) come in rolls of 50 coins each,

Dimes ( $0.1 ) come in rolls of 50 coins each,

Nickels ( $0.05 ) come in rolls of 40 coins each,

and Quarters ( $0.25 ) come in rolls of 40 coins each.

5 rolls of pennies, 7 rolls of dimes, 6 rolls of nickels, 8 rolls of quarters came.

Thus,

[tex]\begin{aligned} \rm{Total\; Value}&=0.01 \times 50 \times 5 + 0.1 \times 50 \times 7 + 0.05 \times 40 \times 6 + 0.25 \times 40 \times 8\\&= 2.5 + 35 + 12 + 80\\&= \$129.5 \end{aligned}[/tex]

Thus, in total, we will have $129.5 of 5 rolls of pennies, 6 rolls of nickels, 7 rolls of dimes, and 8 rolls of quarters.

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On a graph, which point is on the line of the equation
2x + 3y = 4?

Answers

Answer:

4

Step-by-step explanation:

Answer:4

Step-by-step explanation

Each piece of candy costs 20 cents. The price of n pieces of candy is $3.00. Find n

Answers

Answer: n=15

Step-by-step explanation:

For this question, we can set proportions to solve.

[tex]\frac{0.2}{1} =\frac{3}{n}[/tex]              [cross multiply]

[tex]0.2n=3[/tex]            [divide both sides by 0.2]

[tex]n=15[/tex]

Now, we know that there are 15 pieces fo candy.

EASY MATH QUESTION! WILL GIVE BRAINLIEST! (MUST EXPLAIN HOW YOU GOT YOUR ANSWER!) By the end of the first quarter of a football game, Gary had gained 42 yards and had lost 9 yards. Gary lost an additional 18 yards and gained 58 yards in the second quarter. Write an equation to represent his total yardage for the first half of the game.

Answers

Answer:

+73 yards.

Step-by-step explanation:

Since we have the first two quarters, we can simply work out the yardage for each game and add them together to get the total.

42-9 = 33 (first game)

58-18 = 40 (second game)

Therefore his total yardage was +73.

42-9-18+58 = 73.

Hope this helped!

a rectangle has a width of 4 cm and a length of 8cm is scaled by a factor of 6.what are the side lengths of the scaled copy

Answers

Answer:

[tex]\huge\boxed{\text{Width: } 24 \ \ \ \text{Length: } 32}[/tex]

Step-by-step explanation:

When we scale an object by a scale factor, the side lengths become the scale factor times bigger than the previous sides. Therefore, with a scale factor of 6, the side lengths would be multiplied by 6.

[tex]4 \cdot 6 = 24\\\\4 \cdot 8 = 32[/tex]

Hope this helped!

Is 5n natural whole integer rational irrational or real

Answers

Answer:

Natural

Step-by-step explanation:

The length of a rectangle is 25
inches longer than 3 times its
width. The perimeter of the
rectangle is 130 inches. Find the
length and the width.

Answers

The width is 35in, the length is 95in

Find the slope of 10y = 7x + 5.
Round to the third.

Answers

Answer:

0.7

Step-by-step explanation:

10y = 7x + 5

Divide both sides by 10.

y = 7x/10 + 5/10

y = 0.7x + 0.5

On a straight line of the form y = kx + m, k is the slope of the line.

In our line, y = 0.7x + 0.5, k is 0.7. Thus, the slope of our function is 0.7

Answer: 0.7

The slope of Po is (v – z) divided by The slope of pois divided by (w + a) - (x + a) Both lines have a slope that is v divided by Therefore, the lines are​

Answers

Answer:

The answers are:

(w-x)

(v+b)-(z+b)

(v-z)

(w-x)

parallel

Step-by-step explanation: i did it on edge

Answer:

Step-by-step explanation:

(2x+5)* (8x+5)* Help help help

Answers

Answer:

16x^2 + 50x + 25 would be your answer.

A class field trip to the bowling alley costs $7 per students. If 412 students attend
the trip, how much money would the trip cost? *

Answers

Answer:$2,884

Step-by-step explanation:

Answer:

I think the trip would cost 2,884

Step-by-step explanation:

7×412=2,884

Write an equation for the description.
Tanmayl wants to raise $170 for a school fundraiser. She has raised $130 so far. How much more does she
need to reach her goal? Let m be how much more is needed. .

Answers

i think it would be “ 130 + m = 170 “ I could be wrong tho

Answer:

40$

Step-by-step explanation:

170$-130$=40$

Out of the 50 people interviewed 6 people said Spider-Man was their favorite super hero, What percent of people said that Spider-Man was their favorite superhero?
Favorite Superhero
IronMan
Spider-Man
The Hulk
Batman
Superman
Thor

Answers

Answer:

Twelve percent.

Step-by-step explanation:

6:50 x 2 = 12:100 or 12%. Hope this helps!

sally had 224 dollars to spend on 8 books After buying them she had 16 dollars. How much did each book cost?

Answers

Answer:

28.50$

Step-by-step explanation:

244-16=228

228 divided by 8 = 28.5

each book cost 28.50$

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