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Elodia [21]
3 years ago
10

The table shows the results of a biologist who captures and tags lake trout, and then sets them free. What is the trout populati

on in the lake?
A.) About 90
B.) About 340
C.) About 130
D.) About 250

Mathematics
1 answer:
zloy xaker [14]3 years ago
3 0

Answer:

A.) About 90

Step-by-step explanation:

From the given table, the biologist tagged 150 trout. Also, he recaptured a total of 100 trouts of which 60 were recaptured with tags.

Thus, let the trout population in the lake be represented by x,

    \frac{60}{100} =  \frac{x}{150}

Cross multiply to have;

 100 × x = 60 × 150

  100x = 9000

Divide both sides by 100,

 x = \frac{9000}{100}

    = 90

Therefore, the trout population is about 90 in the lake.

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Answer:

19.6 miles in 12 minutes.

Step-by-step explanation:

first take 60, then divide it by 12.

60÷12=5

then take 98 and divide that by 5

98÷5=19.6

3 0
3 years ago
Please help thank you. i have 2 questions.
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4 years ago
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A line with a slope of -2 is written in the form y=mx+b.
yanalaym [24]

Answer:

b = 3

Step-by-step explanation:

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Here m = - 2 , then

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3 years ago
A new building is being constructed at UT Austin. It is 200 feet tall, and has a
Mariana [72]

Answer:

Walkway is 3 feet wide.

Step-by-step explanation:

Given:

Length of the building is 150 ft

width of the building is 100 ft

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Solution:

Length of the total area will be = length of the building + width of walkway from 2 sides = 150 +2x

Width of the total area will be = width of the building + width of walkway from 2 sides = 100 +2x

Now Total area(around and including the building) = Length of the total area\times Width of the total area

(150+2x)\times(100+2x)=16536\\15000+300x+200x+4x^2=16536\\500x+4x^2=16536-15000\\4(125x+x^2)=1536\\125x+x^2= \frac{1536}{4}=384\\

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Now solving for both equation we get.

x+128=0\\x=-128\\x-3=0\\x=3

Now, We get 2 values for x which -128 and 3 but the width of the building can't be in negative value hence we will consider value of x be 3.

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4 0
3 years ago
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3 years ago
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