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yulyashka [42]
3 years ago
9

Write and equation for each situation. Solve the equation.

Mathematics
1 answer:
aleksley [76]3 years ago
5 0

Answer: The length of the rectangle is 13.5 units and the width is 4.5 units

Step-by-step explanation: The perimeter of the rectangle has been given as 36 units. The formula applied to calculate the perimeter is

Perimeter = 2(L + W)

However the details in the question states that the rectangle is three times as long as it is wide. That is, the length is three times it’s width. So if the width is W then the length is 3W.

Therefore, to calculate the perimeter we shall apply the following;

Perimeter = 2(3W + W)

If the perimeter is given as 36 units, then we have;

36 = 2(4W)

We cross multiply and we have

36/2 = 4W

18 = 4W

Divide both sides of the equation by 4

4.5 = W

So the width is calculated as 4.5, hence the length would be 3W which equals 3 x 4.5 and that equals 13.5

Therefore, Length = 13.5 units and Width = 4.5 units

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The answer to this question:
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No car probability = 24/120
At least one car probability= 96/120

I will focus answering the 3 doors probability since the 2nd door problem is solved in the previous problem. (brainly.com/question/5761449)

No car condition
1. 1st door consolation, 2nd door consolation=, 3rd door consolation= 4/6 * 3/5 * 2/4= 24/120
This was also can be found by: (4!/1!)/ (6!/3!) = 24/120

(At least one car probability)  is the opposite of (no car probability) In this case, the easier way is 
100% - (no car probability) = 120/120 - 24/120= 96/120

One car probability is (At least one car probability) - (2 car probability). It will be easier to count the 2 car probability and subtract the (At least one car probability) 
Two car condition:
1. 1st door car, 2nd door car, 3rd door consolation = 2/6 * 1/5 * 4/4 =8/ 120
2.1st door car, 2nd door consolation, 3rd door car =2/6 * 4/5 * 1/4 = 8/120
3. 1st door consolation, 2nd door car, 3rd door car= 4/6 * 2/5 * 1/4= 8/120
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This was also can be found by: (2!) (4!/2!)/ (6!/3!) = 24/120

One car probability =  (At least one car probability) - (2 car probability)= 96/120-24/120= 82/120
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