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salantis [7]
4 years ago
14

If the length of a rectangular yard is represented by w+4 and the width by 2w+5, write a simplified expression in terms of w tha

t represents the total length of fence needed to go around the yard. Show your work step by step.
Mathematics
1 answer:
adell [148]4 years ago
6 0

Answer:

P = 6w + 18

Step-by-step explanation:

A rectangle is a plane shape having a LENGTH and a WIDTH.

Length (l) = w + 4

Width (w) = 2w + 5

To write a simplified equation in terms of w to represent the total length, let's used the idea of a PERIMETER of a RECTANGLE.

Perimeter (P) = 2 ( l + b)

Where l = length= w + 4

Where b = width = 2w + 5

P = 2( w + 4 + 2w + 5)

P = 2( 3w + 9)

P = 6w + 18

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You roll a die. If an odd number comes up, you lose. If you get a 6, you win $60. If it is aneven number other than 6, you get t
vitfil [10]

Answer:

Step-by-step explanation:

Given that if an odd number comes up, you lose.

i.e. P(losing) = P(1,3,5) = \frac{1}{2}

P(win 60) = P(6) =\frac{1}{6} \\

If you get 2 or 4 you roll again

Thus rolling again prob = \frac{2}{6} =\frac{1}{3}

After rolling II time, if get 6, win otherwise lose.

Thus winning amounts A canbe

0     36   60

P(0) = \frac{1}{2}+\frac{1}{3} (\frac{5}{6})=\frac{7}{9}  \\P(36) = \frac{1}{3} (\frac{1}{6})=\frac{1}{18}\\P(60) =\frac{1}{6}

This is a genuine pdf since prob >0 and total prob = 1.

b)Expected gain = sum of gain * prob = \frac{7}{9} (0)+\frac{1}{18} (36)+\frac{1}{6} (60)\\=12

Thus I would be willing to pay an amount atmost 12 dollars.

6 0
3 years ago
Two kids are roller skating. Amy, with a mass of 55 kg, is traveling forward at 3 m/s. Jenny, who has a mass of 40 kg, is travel
Sliva [168]
The action of crashing would lower the speed by at least half so 1.5 + 2.5 = 4. But since you do not know in which way they crashed I would just say that this question is not telling how much they slow down so, I would just do 5 m/s + 3 m/s = 8 m/s travelling in the direction Amy was moving but since the larger mass would move the smaller mass and adjust I'd say they are both moving at 3 m/s.
3 0
3 years ago
Read 2 more answers
My parents recently moved to the Poconos, they got 30 or more inches of
jekas [21]

Answer:

25ft

Step-by-step explanation:

2hr=10ft

5hr=25ft

5-2=3 so you have to find what they did for the 3 hours which is another 2 plus half so 25ft.

7 0
3 years ago
Write a polynomial of least degree with roots 0 and -4​
qaws [65]

Answer:

x^2+4x

Step-by-step explanation:

x(x+4) has solutions of x=0 and x=-4, which expands to x^2+4x

6 0
3 years ago
What property is in (6+3)+21=6+(3+21)
Assoli18 [71]

This is called the Associative Property of Addition.

In short, associative property of addition states that the quantity of an additive expression is going to be the same no matter how the expression is grouped. In this case, it doesn't matter whether 6+3 is added first or 3+21 is added first because they will end up with the same quantity.

7 0
3 years ago
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