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Rom4ik [11]
2 years ago
15

Carran is building a fence around his rectangular yard. The fence will cover the front and the 2 sides of the yard. The

Mathematics
1 answer:
dolphi86 [110]2 years ago
7 0

9514 1404 393

Answer:

  • sides: 12 feet
  • front: 28 feet

Step-by-step explanation:

Let x represent the length of one side of the yard. Then the width of the yard is 2x+4, and the perimeter is ...

  P = 2(L +W) . . . . . . . . . . formula for perimeter of a rectangle

  80 = 2(x + (2x+4)) . . . . . with values from the problem filled in

  40 = 3x +4 . . . . . . . . divide by 2, collect terms

  36 = 3x . . . . . . . . . subtract 4

  12 = x . . . . . . . . . divide by 3. This is the length of the side fence.

  2x +4 = 2(12) +4 = 28

The fence is 12 feet on the sides and 28 feet on the front. (Its total length is 52 feet.)

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6 0
3 years ago
What is the slope of the graph shown below?
levacccp [35]

Answer:

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Step-by-step explanation:

6 0
3 years ago
The length of a rectangle is 4 cm longer than its width. If the perimeter of the rectangle is 44 cm, find its area.​
adell [148]
Length: w+4
Width:w
Perimeter:44
Area: L times w
P=44
44=2(w)+2(w+4)
44=2w+2w+8
44=4w+8
36=4w
w=9
L=w+4
L=9+4
L=13
Area should equal 117 cm squared
5 0
3 years ago
a cargo ship arrived at Kingston Harbour carrying 403,172 kilograms of flour. All the flour was tranfered to 5 trains and 9 truc
IrinaVladis [17]

Each train carried 64141 kg of flour and each truck carried 9163 kg of flour.

Step-by-step explanation:

Let the no. of kg of flour carried by each train be 'a'

Let the no. of kg of flour carried by each truck be 'b'

Total flour = 403172 kg

No. Of trains = 5

No. of trucks = 9

a = 7(b)

5a + 9b = 403172

5(7b) + 9b = 403172

35b + 9b = 403172

44b = 403172

b = 403172/44

b = 9163

Each truck carried 9163 kg of flour.

a = 7b

a = 7(9163)

a = 64141

Each train carried 64141 kg of flour.

4 0
3 years ago
What is the answer to this problem -2x – 4 < 3x + 21
horsena [70]

Start with

-2x-4 < 3x+21

Add 2x to both sides:

-4 < 5x+21

Subtract 21 from both sides:

-25 < 5x

Divide both sides by 5. Since it is positive, we don't have to change the inequality sign:

-5 < x

So, the answer is x > -5


6 0
2 years ago
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