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QveST [7]
2 years ago
13

The perimeter of a rectangular field is 24 m. If its length is 9m, find (i) breadth (ii) area of the rectangle​

Mathematics
2 answers:
sesenic [268]2 years ago
5 0
  • Breadth be x

\\ \rm\hookrightarrow Perimeter=24

\\ \rm\hookrightarrow 2(9+x)=24

\\ \rm\hookrightarrow 9+x=12

\\ \rm\hookrightarrow x=3

Now

  • Area=Length×Breadth

\\ \rm\hookrightarrow Area=9(3)=27m^2

Monica [59]2 years ago
3 0

Answer:

breadth: 3 m and area of rectangle: 27 m²

explanation:

part A:

perimeter of rectangle: 2 ( length + breadth )

using the formula:

24 = 2 ( 9 + breadth )

9 + breadth = 12

breadth  = 3 m

part B:

area of the rectangle​ =  length * breadth

using the formula:

9 * 3

27 m²

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pshichka [43]

Answer:

x = 13/3

Step-by-step explanation:

4(8x-3) - 30x = 5(x-5)

Distribute

32x - 12 - 30x  = 5x -25

Combine like terms

2x -12 = 5x-25

Subtract 2x from each side

2x-12-2x = 5x-2x -25

-12 = 3x-25

Add 25 to each side

-12+25 = 3x-25+25

13 = 3x

Divide each side by 3

13/3 = x

4 0
3 years ago
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jeka57 [31]

Answer:

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6 0
3 years ago
The Bayside Bugle charges by the word to run automotive ads. The newspaper
11111nata11111 [884]

Answer:

$20.45

Step-by-step explanation:

Since the Bayside Bugle charges $18 for the first 20 words and there is more than 20 words in the ad you take 27-20 and you get 7 additional words.

Now we know that we already have to pay $18 for the first $20 words.

Since we have 7 additional words we multiply that by 0.35 cents and you get $2.45.

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8 0
3 years ago
The Nuthouse offers a mixture of soy nuts and almonds, Almonds
elena55 [62]

Answer:

  14 pounds

Step-by-step explanation:

The given equations can be solved for y by substituting for x. The first equation is convenient for writing x in terms of y.

<h3>Solution</h3>

  x = 20 -y . . . . . . . subtract y from the first equation

  7(20 -y) +5.5y = 119 . . . . . substitute for x in the second equation

  140 -1.5y = 119 . . . . . . . . simplify

  21 = 1.5y . . . . . . . . . . . add 1.5y -119 to both sides

  14 = y . . . . . . . . . . . .divide by 1.5

14 pounds of soy nuts should be used in the mixture.

__

<em>Additional comment</em>

There are many ways to solve a system of two linear equations. The attachments shows a matrix solution using a suitable calculator. It tells us that x=6 and y=14, as we found above.

6 0
2 years ago
What is the weight of a square if a triangle weighs 4 grams? Explain your reasoning
stellarik [79]

Answer:

8 grams

Step-by-step explanation:

The balance is in equilibrium, so the weights of the two sides are equal.

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The weights are equal, so we set the two expressions equal.

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Answer: The weight of a square is 8 grams.

8 0
3 years ago
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