Let h = Hannah's age.

Hannah is older than her sibling, and their ages are consecutive odd integers. Therefore, h = an odd number and the sibling's age = h-2.

The sum of their ages is 92, therefore
h + (h-2) = 92
2h - 2 = 92

2h = 94
h = 47 years

Answer:
The equation to find Hannah's age is 2h - 2 = 92.
This yields Hannah's age as 47 years.

7 0

3 years ago

Let L be the line with parametric equations x=2+t, y=1-t, z=1+3t.Let v=(1,2,0).Find vectors w1 and w2 such that v= w1 + w2, and

charle [14.2K]

Answer:

w1 = (-1/11, 1/11, -3/11)

w2 = (12/11, 21/11, 3/11)

Step-by-step explanation:

Direction ratio of w1 = Direction ratio of L (because parallel) = K+(1, -1, 3)

Let <a,b,c> be direction ratio of w2.

Then, <a,b,c>. <1,-1,3> = 0

a-b+3c = 0

v = w1 + w2

(1, 2, 0) = k(1, -1, 3) + (a, b, c)

a + k = 1

b - K = 2

c - 3k = 0

Solving 4 equations, a = 12/11, b= 21/11, c = 3/11, k=-1/11

So, w1 = -1/11(1, -1 ,3) = (-1/11, 1/11, -3/11)

w2 = (12/11, 21/11, 3/11)

6 0

3 years ago

7. The price of a dress was * 500. In December 2006

lyudmila [28]

$500 + $500*10% = $550

$550-$550*10% = $495

5 0

3 years ago

there are 15 cards , numbered 1 through 15 , if you pick a card what is the probability that you choose an odd number or a two

Paul [167]

I think the probability of picking an odd number is 7/15

3 0

3 years ago

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