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My name is Ann [436]
3 years ago
6

The total number of ducks in a zoo is known to be 4,109. Of these 4,109 ducks, 960 have been marked. If you catch 1,100 of these

ducks, how many would you expect to be marked? A.225 B.257 C.189 D.143
Mathematics
2 answers:
AVprozaik [17]3 years ago
7 0
960 : 4109
x : 1100

4109x = 1056000 \\ x = 256.997
After rounding off, Answer is 257.

Hope this helps. - M
Pavlova-9 [17]3 years ago
5 0
A. 225. This is an estimate.
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The width of a rectangle is (x+1) and the length is (x-6). What is the length and width of the rectangle if the area is 30 squar
jolli1 [7]

Answer:

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) =  10 feet

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the width of the rectangle  = (x+1) feet</em>

<em>Given that the length of the rectangle = ( x-6) feet</em>

<em>The area of the rectangle = 30 square feet</em>

<u><em>Step(ii):-</em></u>

We know that the area of the rectangle

                = length ×width

    30   = ( x+1)(x-6)

    30   = x² - 6x + x -6

⇒ x² - 5 x - 6 = 30

⇒ x² - 5 x - 6 - 30 =0

⇒ x² - 5 x - 36 =0

 x² - 9 x +4x - 36 =0

   x (x-9) +4 ( x-9) =0

   ( x+4 ) ( x-9) =0

     ( x+4 ) =0 and  ( x-9) =0

     x =-4 and x =9

<u><em>Step(iii):-</em></u>

we have to choose x =9

     The length of the rectangle (l) =  x-6 = 9-6 =3

      The width of the rectangle (W) =  x+1 =  9 +1 = 10

<u><em>Final answer:-</em></u>

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) =  10 feet

5 0
3 years ago
1. How many squares do I shade on 10 square grid for 60% of 40 ?
Sholpan [36]

Answer:

Either 2.4 boxes or 6

Step-by-step explanation:

10% of 40 is 4

60% of 40 is 24

Either 2.4 boxes or 6

6 0
3 years ago
What the rule for the transformation is<br>​
AleksandrR [38]
Answer: (x + 3, y - 4)

Explanation: The shape in the middle goes to the right three and down four to match the shape at the bottom
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3 years ago
Mary drove 303 miles in 15 gallons of gas at this rate how many miles would she drive using 16 gallons of gas
Rainbow [258]
324 because if you do 303/15 it’s 20.2 then you add that to 303 which is 323.2 but you can’t have .2 of a gallon so it’s 324
4 0
3 years ago
I need help with this calculus question
Bezzdna [24]

- 47 → d

using the ' product rule '

\frac{d}{dx} (uv) = uv' + vu' = (3 × - 4) + (7 × - 5 ) = - 12 - 35 = - 47


8 0
3 years ago
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