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Kisachek [45]
3 years ago
15

A clown is preparing for a party by inflating one balloon for every invited guest. Just when she has half of the necessary ballo

ons inflated, 3 of them pop. She inflates 5 more balloons, and two pop. then 6 balloons are carried away by the wind. She finishes by inflating 16 more balloons, and then learns that only 12 guests will attend the party. how many extra balloons did the clown inflate?
Mathematics
2 answers:
vovikov84 [41]3 years ago
7 0
Half, then -3, then +5, then -2, then -6, then +16
not sure how many to begin with
but after half, the clown ended up with 10 more than half of the original
um

if 12 guests
um

half+10-12=extra
half-2=extr
half-2=number of extra ballons, we just need to know how many baloons she inflated when she had half
NeTakaya3 years ago
7 0
6+5+16=27-12=15 extra balloons inflated
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If c= the number of cars in a parking lot, which algebraic expression
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Answer:

Option C) c+9 is correct

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Step-by-step explanation:

Given that c=the number of cars in a parking lot.

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To find the algebraic expression which represents the given phrase :

The algebraic expression to the given phrase is c+9

That is option C) c+9 is correct

The sum of the number of cars and 9=c+9 is correct algebraic expression representation for given phrase

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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.
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Answer:

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Observe that if the vector x=\left[\begin{array}{ccc}x\\y\\z\end{array}\right] is in W then it satisfies:

\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.

7 0
2 years ago
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Given:

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Area of the larger square is:

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6x10^-4
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