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3 years ago

Lamont has 30 books to pack in boxes . Each box holds 7 books. If he fills each box, how much books are left over ?

Mathematics

2 answers:

Svetach [21]3 years ago

3 0

Answer:

B. 2

Step-by-step explanation:

To solve this, we need to divide 30 by 7. 30/7=4 R2

The remainder is 2, so there are 2 books left over.

Hope his helps and have an amazing day *^____^*

Flura [38]3 years ago

3 0

Answer:

Step-by-step explanation:

If 1 box holds 7 books...

2 boxes hold 14 books.

3 boxes hold 21 books.

4 boxes hold 28 books.

5 boxes hold 35 books.

However, since there are only 30 books, the 5th box won't be completely filled up. This gives us the answer: If Lamont fills up each box he would have 30-28, or 2 books left over.

Hope this helps!

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3 years ago

Find all points on the circle (x^2) + (y^2) = 676 where the slope is 5/12

borishaifa [10]

Implicit defferentation

remember that dy/dx y= dy/dx

so
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$2y \space\ \frac{dy}{dx}=-2x$
divide both sides by 2y
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$\frac{dy}{dx}=\frac{-x}{y}$

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find where the circle and this line intersects

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$\frac{25}{25}x^2+\frac{144}{25}x^2=676$
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times both sides by $\frac{25}{169}$
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sqrt both sides, take positive and negative roots
x=+/-10

sub back

$y=\frac{-12}{5}x$
$y=(\frac{-12}{5})(10) \space\ or \space\ (\frac{-12}{5})(-10)$
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