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deff fn [24]
3 years ago
7

A rectangle has a length that is twice the meaure of its width. Perimeter is 54. What is the area

Mathematics
1 answer:
Goshia [24]3 years ago
5 0
L = 2W
P = 2L + 2W
Plug 2W in for L.
54 = 2(2W) + 2W
54 = 4W + 2W
54 = 6W
Divide both sides by 6
W = 9
L = 2* 9
L = 18
A = L * W
A = 9 * 18
A = 162 units^2
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For travel purposes,a touring company places all 33 travelers into equal sized groups . how many groups are there and how many t
Katyanochek1 [597]

There are 3 groups of 11 travellers each or 11 groups of 3 travellers each.

Since we have 33 travellers and we need to divide them into equal sized groups, we need to find the factors of 33.

<h3 /><h3>Factors of 33</h3>

So, 33 = 1 × 33 = 3 × 11

So, the two factors of 33 we require are 3 and 11.

<h3 /><h3>The groups of travellers</h3>

Since 11 × 3 = 3 × 11,

So, 3 × 11 implies that we can have 3 groups of 11 travellers each and,

11 × 3 implies that we can have 11 groups of 3 travellers each.

So, there are 3 groups of 11 travellers each or 11 groups of 3 travellers each.

Learn more about factors of a number here:

brainly.com/question/2058395

5 0
2 years ago
If an equation is an identity, then how many solutions does it have?
gulaghasi [49]

Identities have <em>INFINITE </em>solutions.

Hope I could help! :)

6 0
3 years ago
Read 2 more answers
Chang will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $50 and costs an add
oksano4ka [1.4K]

Answer:

  • 450 miles
  • $117.50

Step-by-step explanation:

The difference in fixed cost is $9; the difference in per-mile cost is $0.02. The difference in per-mile cost will equal the difference in fixed cost for a distance of ...

   $9.00/($0.02/mi) = 450 mi

At that distance, the rental cost is ...

  $50 +450×$0.15 = $50 +67.50 = $117.50

Both plans will cost $117.50 for 450 miles of driving.

5 0
3 years ago
How to do this question plz answer my question ​
Degger [83]

Answer:

$121.82

Step-by-step explanation:

Okay, this is kind of complex, so let's go step by step.

First, we want to find the area of the rectangular lawn - we can do this by multiplying the length and width. The length is 100 and the width is 45 so 45\cdot100=4500 m² is the area of the rectangle.

However, there are 3 ponds in which the grass seeds will not be going - so we need to find the area of all 3 of these circles and subtract it from 4500 (our rectangle area).

The area of a circle is represented by the formula \pi r^2

The diameters are given here, which is double the radius, so to find the radius of each circle let's divide the diameters by 2.

First circle's radius: 20\div2=10

Second circle's radius: 10\div2=5

Third circle's radius: 5\div2=2.5

Now let's find the area of each circle.

<em>First Circle</em>: \pi \cdot10^2 = \pi\cdot100=3.14\cdot100=314

<em>Second Circle</em>: \pi\cdot5^2 = \pi \cdot25 = 3.14\cdot25=78.5

<em>Third Circle:</em> \pi \cdot 2.5^2 = \pi \cdot6.25 = 3.14\cdot6.25=19.625

Adding all of these values gets us 412.125.

Now we can subtract from this from 4500 to get us 4087.875

If the grass seeds that cost £1.49 cover 50m² each, then we need 4087.875\div50=81.7575 bags.

Each bag costs £1.49, so the total cost is 81.7575\cdot1.49\approx121.82

Hope this helped!!

5 0
3 years ago
I need help with #2
andrew-mc [135]

Answer:

28 < x < 114

Step-by-step explanation:

  • x cannot be larger than or even equal to 71 + 43 = 114. So it must be less than 114.
  • But there are limits on the other end as well. 43 +x > 71, otherwise you won't have a triangle. so you have to solve that inequality as well
  • 43 + x > 71            Subtract 43 from both sides.
  • 43-43 + x > 71 - 43
  • x > 28
  • To put this in the form of the answer you need it looks like this.
  • 28 < x < 114
5 0
4 years ago
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