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Furkat [3]
3 years ago
8

Alana is 4 years older than her brother Ernie Ernie is two years older than her sister Amelia Amelia is 10 years younger than th

eir brother Mazo if Maisel is 17 years old how old is Alana
Mathematics
1 answer:
OverLord2011 [107]3 years ago
4 0

Answer:

Alana is 13 years old.

Step-by-step explanation:

Assuming you meant Mazo = Maisel,

You start from the bottom:

Amelia is 10 years younger than 17-year-old Maisel.

Amelia is 7 years old. (17-10)

Ernie is 2 years older than 7-year-old Amelia.

Ernie is 9. (2+7)

Alana is 4 years older than 9-year-old Ernie.

Alana is 13 years old. (4+9)

Hope this helps!

-EmV

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Answer:

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36 to the third power

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16. Let W be the set of all vectors in R3 of the form a+2b b -3a Find a basis for Wand state the dimension of W.
Yuki888 [10]

Answer:

W=\{\left[\begin{array}{ccc}a+2b\\b\\-3a\end{array}\right]: a,b\in\mathbb{R} \}

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\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{c}a+2b\\b\\-3a\end{array}\right]=a\left[\begin{array}{c}1\\0\\-3\end{array}\right]+b\left[\begin{array}{c}2\\1\\0\end{array}\right]

This means that each vector in W can be expressed as a linear combination of the vectors \left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]

Also we can see that those vectors are linear independent. Then the set

\{\left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]\} is a basis for W and the dimension of W is 2.

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Pls someone help i have conferences tomorrow and im failing
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Answer:

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Step-by-step explanation:

6 0
2 years ago
The denominator of a fraction is 4 more than its numerator.
alukav5142 [94]
<h3>Answer:</h3>

5

<h3>Step-by-step explanation:</h3>

Let n represent the numerator of the original fraction, which is n/(n+4). After adding 1/2, the value is (2(n+4)+1)/(2(n+4)), so we have ...

  n/(n+4) + 1/2 = (2(n+4)+1)/(2(n+4))

Simplifying gives ...

... (2n +(n+4))/(2(n+4)) = (2n +9)/(2(n+4))

Since the denominators are the same, we can work only with the numerators.

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  n = 5 . . . . . . . . . . . subtract 2n+4

_____

<em>Check</em>

The original fraction is 5/(5+4) = 5/9. Adding 1/2 gives ...

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Note the numerator of this last fraction is 1 more than the denominator, which is twice the original denominator.

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