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3 years ago

A local library claims it has 2.73x103 books. If there are 42 people in the building, how many books per capita are there?

Mathematics

1 answer:

Marizza181 [45]3 years ago

7 0

Answer:

63 books per capita in the library

Step-by-step explanation:

Given

$Books = 2.73 * 10^3$

$People = 43$

Required

Determine the book per capita

To do this, we simply divide the number of books by number of person;

$Average = \frac{Books}{People}$

$Average = \frac{2.73 * 10^3}{43}$

$Average = \frac{2.73 * 1000}{43}$

$Average = \frac{2730}{43}$

$Average = 63.488372093$

$Average = 63$ (Approximated)

Hence;

<em>There are 63 books per capita in the library</em>

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What are the coordinates of the point on the directed line segment from (-2, 9)(−2,9) to (-1, -4)(−1,−4) that partitions the seg

skelet666 [1.2K]

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Therefore the coordinates of the point on the directed line segment from (-2, 9) to (-1, -4) that partitions the segment into a ratio of 2 to 3 is

$P(x,y)=(-\dfrac{8}{5},\dfrac{19}{5})$

Step-by-step explanation:

Given:

Let point P divides Segment AB in the ratio 2 : 3

point A( x₁ , y₁) ≡ ( -2 , 9 )

point B( x₂ , y₂) ≡ ( -1 , -4 )

m : n = 2 : 3

To Find:

P( x, y ) = ?

Solution:

Ia a Point P divides Segment AB internally in the ratio m : n, then the Coordinates of Point P is given by Section Formula as

$x=\dfrac{(mx_{2} +nx_{1}) }{(m+n)}\\ \\and\\\\y=\dfrac{(my_{2} +ny_{1}) }{(m+n)}\\\\$

Substituting the values we get

$x=\dfrac{(2(-1) +3(-2))}{(2+3)}\\ \\and\\\\y=\dfrac{(2(-4) +3(9)) }{(2+3)}\\\\$

$x=\dfrac{-8}{5}\\ \\and\\\\y=\dfrac{19}{5}\\\\$

Therefore the coordinates of the point on the directed line segment from (-2, 9) to (-1, -4) that partitions the segment into a ratio of 2 to 3 is

$P(x,y)=(-\dfrac{8}{5},\dfrac{19}{5})$

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