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vesna_86 [32]
3 years ago
13

Tracy needs to find the length and width of the equipment storage room where she works. The room is 2 meters longer than it is w

ide. Its perimeter is 16 meters.
What is the width in meters?
Mathematics
2 answers:
____ [38]3 years ago
5 0

Answer:

3 meters

Step-by-step explanation:

We assume the storage room is a rectangle, like most rooms, no indication it is otherwise.

We know it's a rectangle and not a square because it is longer than wide.

We have the perimeter measurement (16 meters).

So, we can make the following equation:

2x + 2y = 16

x being the width of the room, y being it's length.  A perimeter is the sum of all sides.

We also know the room is 2 meters longer than wide... so:

y = x + 2

If we replace y in the first equation by its value relative to x, we get:

2x + 2(x + 2) = 16 which becomes

2x + 2x + 4 = 16

4x =12

thus x = 3

Width: 3 meters

Length: 5 meters.

Confirms the 16 meters perimeter.

Dmitrij [34]3 years ago
4 0

<u>Answer:</u>

Width = 3 meters

<u>Step-by-step explanation:</u>

We are given that for an equipment storage room, it is 2 meters longer than its width and the perimeter of this room is 16 meters.

Given the above information, we are to find the width of the room.

Perimeter = 2l+2w

Supposing x to be the width and x+2 to the length, we can write it as:

16=2(x)+2(x+2)

16=2x+2x+4

12=4x

x=\frac{12}{4}

x = 3

Therefore, the width = 3 meters.

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One hundred sixty-two guests attended a banquet. Three servers provided their beverages. The first server helped three times as
Rudiy27

Answer:

  • Below given.

Step-by-step explanation:

  • 162 total guests.
  • 3 servers

Let the number of guests the second server helped be x.

then the first server helped 3x

then the third server helped [(3x)*2] = 6x

Equation in total:

                               6x + 3x + x = 162

                                10x = 162

                                   x = 16.2

  • First server helped: 3 * 16.2 = 49 guests
  • Second server helped: 16 guests
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6 0
2 years ago
The equation y = 3.5x represents the rate, in miles
avanturin [10]

Answer:

Piyush walks faster than Laura

Step-by-step explanation:

we know that

The rate or speed is equal to the slope of the linear equation

<em>Laura</em>

y=3.5x

The slope is 3.5\ \frac{mi}{h}

<em>Piyush</em>

Determine the slope of the line

we have the points

(0,0) and (4,18)

The line represent a direct variation (because passes through the origin)

so

m=\frac{y}{x}

For x=4 h, y=18 mi

substitute

m=\frac{18}{4}=4.5\ \frac{mi}{h}

Compare the slopes

4.5\ \frac{mi}{h} > 3.5\ \frac{mi}{h}

therefore

Piyush walks faster than Laura

5 0
3 years ago
Read 2 more answers
A 60 by 80-foot rectangular walk in a park surrounds a flower bed. If the walk is of uniform width and its area is equal to the
alekssr [168]

Answer: 17.14 ft

<u>Step-by-step explanation:</u>

The area of the flower bed is 60 ft x 80 ft = 4800 ft²

The perimeter of the sidewalk that surrounds the flower bed is:

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The area of the sidewalk is:

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area of sidewalk = area of flower bed

280w = 4800

\text{w}=\dfrac{4800}{280}

  =\dfrac{120}{7}

  ≈ 17.14


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1. A length of rope is stretched between the top edge of a building and a stake in the ground. The head of the stake is at groun
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