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Fynjy0 [20]
3 years ago
9

The height of Jake's window is 5x - 3 inches and the width is 3x + 2 inches. What is the perimeter of Jake's window ?​

Mathematics
1 answer:
Reika [66]3 years ago
4 0

The perimeter of Jake window is 16x - 2 inches

<h3><u>Solution:</u></h3>

Given that height of Jake window is 5x - 3 inches

Also given that width is 3x + 2 inches

To find: perimeter of Jake window

We know that, in general a window is of rectangular shape

<em><u>The perimeter of rectangle is given as:</u></em>

Perimeter of rectangle = 2(length + width)

Substituting the values we get,

Perimeter of rectangle = 2(5x - 3 + 3x + 2)

Perimeter of rectangle = 2(8x - 1) = 16x - 2

Hence, the perimeter of the window is 16x – 2 inches

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3 years ago
6. In a standard deck of cards:
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Events A and B are dependent (option B).

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7 0
2 years ago
On Fridays, Jerry stops at Steak &amp; Taco Shack before he goes home. This week
Vika [28.1K]

Answer:

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

Step-by-step explanation:

Let :

Steak sandwich = x

Cheese fries = y

Taco salad = z

This week:

x + 2y + 2z = 11.50 - - - - (1)

Last week :

2x + 3y + z = 15.25 - - - (2)

Two weeks ago :

x + 4y + z = 13 - - - - - (3)

Taking (1) and (2)

x + 2y + 2z = 11.50 ___(1)

2x + 3y + z = 15.25 ___(2)

Multiply (1) by 2 and (2) by 1 and subtract

2x + 4y + 4z = 23

2x + 3y + z = 15.25

_______________

y + 3z = 7.75 - - - - (4)

Taking (2) and (3)

2x + 3y + z = 15.25 - - (2)

x + 4y + z = 13 - - - - - (3)

Multiply (2) by 1 and (3) by 2 and subtract

2x + 3y + z = 15.25

2x + 8y + 2z = 26

______________

-5y - z = - 10.75 - - - - - (5)

Lets solve (4) and (5)

y + 3z = 7.75 - - - - (4) - - - multiply by 5

-5y - z = - 10.75 - - - - - (5) - - - multiply by 1

Then add the result :

5y + 15z = 38.75

-5y - z = - 10.75

____________

14z = 28

z = 28 / 14

z = 2

To find y ; put z = 2 in (4)

y + 3z = 7.75

y + 3(2) = 7.75

y + 6 = 7.75

y = 7.75 - 6

y = 1.75

From equation 3 ;

x + 4y + z = 13 - - - - - (3)

x + 4(1.75) + 2 = 13

x + 7 + 2 = 13

x + 9 = 13

x = 13 - 9

x = 4

Hence,

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

5 0
3 years ago
If two similar polygons have perimeters of 36 and 21 inches.
jek_recluse [69]

Answer:

91

Step-by-step explanation:

Two similar polygons, means a similarity would exist in both polygons

  • Perimeter of a rectangle = 2(l +w)
  • Perimeter of the larger rectangle = 36 (because it's the largest figure)
  • equation becomes  36 = 2(L + W)
  • since L = 14, it becomes = 36 = 2(14 +W)
  • 36 = 28 + 2W
  • 2W = 36 - 28 = 2w = 8
  • w = 4.

Now we assume that since the rectangles are similar, they would have similar dimensions, in this case Width. so with this, we find length  of smaller rectangle.

  • 21 = 2(L + 4) = 21 = 2L + 8
  • 2L = 21 - 8 = 2L = 13
  • L = 13/2 = 6.5.

lastly the product of the length of both polygons = 14 * 6.5 = 91.

Their Products length is 91

6 0
3 years ago
Melissa estimated the length of a room is her house to be 13 ft . The actual length of the room is 11 ft. Find the absolute erro
Trava [24]

Answer:

Step-by-step explanation:

4 cm

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3 years ago
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