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3 years ago

15

Josefina lives near a duck pond. She wants to know how many ducks use the pond. She places leg bands on 12 ducks one day. A week

later, she examines 20 ducks and finds that 3 of them have leg bands. About how many ducks use the pond? 80 29 160 50

1 answer:

MatroZZZ [7]3 years ago

5 0

Answer:

80

Step-by-step explanation:

This is calculated as:

(Number of ducks with bands × Number of examined ducks)/ Number of ducks found with leg band

= Number of ducks with bands = 12 ducks

Number of examined ducks = 20 ducks

Number of ducks found with leg band = 3 ducks

Hence:

12 × 20/3

= 240/3

= 80 ducks

Therefore, 80 ducks used the ponds

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Step-by-step explanation:

We need to find the equation of the line using Two-Point form.

The general equation of two-point form is: $y-y_1=m(x-x_1)$ where m is slope.

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1. (1,3) and (-2,3)

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We have: $x_1=1, y_1=3, x_2=-2, y_2=3$

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So, equation of line will be:

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$y-y_1=m(x-x_1)\\y-3=0(x-1)\\y-3=0\\$

So, equation of line is: y-3=0

2. (4,3) and (6,2)

First finding slope

We have: $x_1=4, y_1=3, x_2=6, y_2=2$

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So, equation of line will be:

Using slope m= $\frac{-1}{2}$ and point (4,3)

$y-y_1=m(x-x_1)\\y-3=\frac{-1}{2}(x-4)\\y-3=-\frac{1}{2}(x-4)$

So, equation of line is: $\mathbf{y-3=-\frac{1}{2}(x-4)}$

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First finding slope

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$y-y_1=-2(x-x_1)\\y-2=-2(x-2)\\$

So, equation of line is: $\mathbf{y-2=-2(x-2)}$

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