2 years ago

Hi please help no Bots

1 answer:

7 0

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Two bowls of pasta at a restaurant serve 3 people. How many bowls of pasta should be ordered for 12 people?

Butoxors [25]

12 people divided by 3 people = 4

so if 2 bowls serve 3 people...2 bowls x 4 = serve 12 people

therefore, 8 bowls serve 12 people

6 0

3 years ago

Read 2 more answers

7 2\3+ (5 1\6-1 5\9)

lorasvet [3.4K]

Start off with: 5 1/6 - 1 5/9
turn it into an entire fraction: 31/6 - 14/9
make a common denominator (which is 18): 93/18 - 28/18 = 93 - 28 = 65/18
65/18 + 7 2/3 is the new equation
7 2/3 = 23/3
23/3 = 138/18
65/18 + 138/18 = 203/18
Simplify: 203/18 = 11 5/18
Answer: 11 5/18

3 0

3 years ago

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If a=i+7j+k and b=i+11j+k, find a unit vector with positive first coordinate orthogonal to both a and

Scilla [17]

Take the cross product, then normalize the result.

$\mathbf a\times\mathbf b=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\1&7&1\\1&11&1\end{vmatrix}=-4\,\mathbf i+4\,\mathbf k$

This has norm

$\|\mathbf a\times\mathbf b\|=\sqrt{(-4)^2+4^2}=4\sqrt2$

and so a unit vector orthogonal to both given vectors is

$\dfrac{\mathbf a\times\mathbf b}{\|\mathbf a\times\mathbf b\|}=-\dfrac1{\sqrt2}\,\mathbf i+\dfrac1{\sqrt2}\,\mathbf k$

An equally correct answer would be the negative of this vector, since $\mathbf b\times\mathbf a=-\mathbf a\times\mathbf b$ .

5 0

3 years ago

What is the value of p so that the expression 4(5 + n) is equivalent to 4(n + p) ?

Gennadij [26K]

Answer:

Step-by-step explanation:

4(5+n)=4(n+p)

20+4n=4n+4p

4p=20

p=20/4

p=5

8 0

2 years ago

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Angelo's pet rabbit weighs 1 pound less than twice the weight of Carmen's pet rabbit.Angelo's pet rabbit weighs 9 pounds. Write

attashe74 [19]

W=(9+1)/2 i think? its worded strangely

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3 years ago