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avanturin [10]
3 years ago
8

A rectangular lawn 40 m by 20 m is surrounded all around outside by a path which is 3 m wide. The area of the path is _____ sq.

m
Mathematics
1 answer:
11111nata11111 [884]3 years ago
8 0

Answer:

The area of the path is 626 square meters.

Step-by-step explanation:

Area of ABCD (of the rectangle)

Given length = 40m

Given breadth = 20m

Area = Length × breadth

= 40m × 20m

= 800m^2

External path = 3m wide

Length =40m+3m+3m=46m

Breadth = 25m+3m+3m= 31m

Area of PQRS= Length × breadth

46m ×31m = 1426m^2

Area of path = Area of PQRS - Area of ABCD

= 1426m^2 - 800m^2

= 626m^2

The area of the path is 626 square meters.

hope this helps :)

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Last year the backgammon club had 30 members this year the club has 24 members find the percent of decrease of members
olchik [2.2K]

Answer:

Percent Decrease = 20% Decrease

Step-by-step explanation:

To find percentage decrease, we will use a simple formula shown below:

Percentage Decrease/Increase = \frac{New-Old}{Old}*100

Where

New is the latest number of members (which is 24)

Old is the initial number of members (which is 30)

<em>Note: the multiplication by a factor of "100" brings the answer to a percentage</em>.

Now, lets substitute the numbers and figure out the percentage decrease:

\frac{New-Old}{Old}*100\\\frac{24-30}{30}*100\\\frac{-6}{30}*100\\-0.2*100\\-20

So, it comes to -20, which is a decrease of 20%

7 0
3 years ago
Rita is planting saplings along her garden fence. When she started, she had x packages of saplings with 5 saplings per package.
Arturiano [62]

Answer:

<u>A. When Rita started, she had 7 packages of saplings.</u>

<u>B. If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of packages Rita started = x

Number of saplings per package = 5

Number of saplings planted by Rita = 15

Number of saplings left = 20

2. How many packages of saplings did she start with?

Number of packages Rita started = (Number of saplings planted by Rita + Number of saplings left)/Number of saplings per package

Replacing with the real values:

x = (15 + 20)/5

x = 35/5 = 7

<u>When Rita started, she had 7 packages of saplings.</u>

3. What would the solution look like on a number line graph?

If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.

5 0
3 years ago
I need this asap ty:p
Anastasy [175]

Answer:

(a) x = -2y

(c) 3x - 2y = 0

Step-by-step explanation:

You can tell if an equation is a direct variation equation if it can be written in the format y = kx.

Note that there is no addition and subtraction in this equation.

Let's put these equations in the form y = kx.

(a) x = -2y

  • y = x/-2 → y = -1/2x
  • This is equivalent to multiplying x by -1/2, so this is an example of direct variation.

(b) x + 2y = 12

  • 2y = 12 - x
  • y = 6 - 1/2x
  • This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is <u>NOT</u> an example of direct variation.

(c) 3x - 2y = 0

  • -2y = -3x
  • y = 3/2x
  • This follows the format of y = kx, so it is an example of direct variation.

(d) 5x² + y = 0

  • y = -5x²
  • This is not in the form of y = kx, so it is <u>NOT</u> an example of direct variation.

(e) y = 0.3x + 1.6

  • 1.6 is being added to 0.3x, so it is <u>NOT</u> an example of direct variation.

(f) y - 2 = x

  • y = x + 2
  • 2 is being added to x, so it is <u>NOT</u> an example of direct variation.

The following equations are examples of direct variation:

  • x = -2y
  • 3x - 2y = 0
7 0
3 years ago
Read 2 more answers
A kite is flying 9.75 feet above a lamp post that is 84 2/3 feet tall. How high is the kitchen flying?
Elden [556K]

The kite is flying at the height of 94 5/2 feet.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.

= 9.75 +84 2/3                                               { 9+0.75 = 9.75   84 2/3}

= 9 + 0.75 +84 2/3                                           { a+b+c+d = a+c+b+d}

= 9 + 84 + 3/4 + 2/3

=93 + 3*3 / 4*3 + 4*2 / 4*3

= 93 + 9/12 + 8/12

= 93 + 17/12

= 93 + (1 + 5/12)

= 94 + 5/12

=94 5/12 feet

{kite height = (post height + the height of the kite above the post)

To learn more about addition from given link

brainly.com/question/24536701

#SPJ9

8 0
1 year ago
Evaluate the expression<br> 15<br> X - 6, when x= 4.<br> es
Daniel [21]

Answer:

54

Step-by-step explanation:

I'm assuming the equation looks like this: 15x - 6

15*4 - 6

60 - 6

54

OR if it's just x-6 then the answer is -2

Hope this is what you were asking, have a nice day! :)

7 0
3 years ago
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