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scoundrel [369]
1 year ago
14

James bought 5 1/6pounds of grapes for $7.75. At theunit rate, how much would 3.4 pounds of grapes cost?

Mathematics
1 answer:
frutty [35]1 year ago
7 0

Answer:

Explanation:

5 1/6 pounds of graphs are bought for $7.75, meaning 1 pound costs

\frac{7.75\text{ dollars}}{5\frac{1}{6}lb}

And we need to compute the division above.

The first step is to convert the mixed number 5 1/6 into an improper fraction.

Now, it is true that

5\frac{1}{6}=5+\frac{1}{6}

multiplying 5 by 6/6 gives

5\cdot\frac{6}{6}+\frac{1}{6}\frac{30}{6}+\frac{1}{6}

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Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers
slamgirl [31]

Answer:

The unit vector in component form is \hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right) or \hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j.

Step-by-step explanation:

Let be \vec u = (2,-3), its unit vector is determined by following expression:

\hat {u} = \frac{\vec u}{\|\vec u \|}

Where \|\vec u \| is the norm of \vec u, which is found by Pythagorean Theorem:

\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}

\|\vec u\| = \sqrt{13}

Then, the unit vector is:

\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)

\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right)

The unit vector in component form is \hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right) or \hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j.

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The data set shows the numbers of yogurt pretzels in various bags.
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Answer:

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Step-by-step explanation:

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Bob makes $3,345 a month before taxes. What is the amount of his gross annual salary?
olganol [36]

Answer:

$40140

Step-by-step explanation:

3345*12=40140

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