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3 years ago

Simplify this expression 8n/17n

Mathematics

1 answer:

docker41 [41]3 years ago

4 0

You can reduce the expression by cancelling out common factor $n$ :

$\frac{8n}{17n} = \frac{8}{17}$

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Find the coordinates of the intersection of the diagnosis of the parallelograms (-2,-1) (1,3) (6,3) and (3,-1)

iren [92.7K]

Answer:

$M = (2,1)$

Step-by-step explanation:

Represent the diagonals as:

$A =(-2,-1)$

$B =(1,3)$

$C =(6,3)$

$D = (3,-1)$

Required

Determine the coordinate of the intersection

To do this, we simply calculate the midpoint of AC or BD.

For AC:

$(x_1,y_1) = (-2,-1)$

$(x_2,y_2) = (6,3)$

The midpoint is:

$M = \frac{1}{2}\{(x_1+x_2),(y_1+y_2)\}$

This gives:

$M = \frac{1}{2}\{(-2+6),(-1+3)\}$

$M = \frac{1}{2}\{(4),(2)\}$

$M = (\frac{1}{2} * 4,\frac{1}{2} * 2)$

$M = (2,1)$

For BD:

$(x_1,y_1) = (1,3)$

$(x_2,y_2) = (3,-1)$

The midpoint is:

$M = \frac{1}{2}\{(x_1+x_2),(y_1+y_2)\}$

This gives:

$M = \frac{1}{2}\{(1+3),(3-1)\}$

$M = \frac{1}{2}\{(4),(2)\}$

$M = (\frac{1}{2} * 4,\frac{1}{2} * 2)$

$M = (2,1)$

Notice the midpoints are the same:

$M = (2,1)$

<em>Hence, the coordinates of the intersection is (2,1)</em>

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3 years ago

If possible, give an example or if not possible, explain why<br>a whole number less than 0

aliya0001 [1]

Answer:

Not possible

Step-by-step explanation:

By definition, all whole numbers are non-negative.

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2 years ago

a hardcover book sells for $24 at the Bookmart. Ben pays a total of $25.02 for the book. What is the sales tax rate?

lana [24]

25.02-24=1.02
1.02/24=.0425
So the sales tax rate is 4.25%

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3 years ago

A student missed 3 questions on a 30 question test. what percent did she get correct?

Lyrx [107]

Answer:

90%

Explanation: 27/30 ÷ 3 = 9/10

9/10 ⇒ 9 x 10 = 90%

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2 years ago

Please help ill give u brainlest 40 points !!

slamgirl [31]

Answer:

B and C

Step-by-step explanation:

the variable would be the amount of cups sold

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