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melamori03 [73]
3 years ago
8

The largest colony of black-tailed prairie dogs contains 400 million prairie dogs on 24,000 square miles of land. Using these es

timates, what is the average number of prairie dogs for each square mile?
Mathematics
2 answers:
jarptica [38.1K]3 years ago
7 0

Answer: the average number is

1667 prairie dogs per square mile.

Step-by-step explanation:

The largest colony of black-tailed prairie dogs contains 400 million prairie dogs on 24,000 square miles of land.

To determine the average number of prairie dogs for each square mile, we would divide the total population of prairie dogs by the total area of land on which they at found. It becomes

400000000/240000 = 1666.6667

Approximately 1667 prairie dogs per square mile.

asambeis [7]3 years ago
3 0

Answer:

16666.67 per square mile  

Step-by-step explanation:

Largest colony of black-tailed prairie dogs = 400 millions

total area of land occupy = 24000 square miles of land

estimates of average number of prairie dogs = 400 000 000 / 24 000 = 16666.67 per square mile  

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3 years ago
Solve for b, then solve for each angle in the triangle
lesya692 [45]

We know that the sum of the interior angles of a triangle equals 180, then,in this case we have the following equation:

b+2b+(b+16)=180

then, solving for b, we get:

\begin{gathered} b+2b+(b+16)=180 \\ \Rightarrow4b+16=180 \\ \Rightarrow4b=180-16=164 \\ \Rightarrow b=\frac{164}{4}=41 \\ b=41 \end{gathered}

now that we have that b = 41, we can find the measure of each angle:

\begin{gathered} b=41 \\ 2b=2(41)=82 \\ b+16=41+16=57 \end{gathered}

7 0
1 year ago
Add and subtract the rational expressions. 7x+5/x-1 -(8x1/x-1+2x-4/x-1) Which statements are true about the process for adding a
anzhelika [568]

Answer:

2. The denominator of the fully simplified expression will be x – 1.

4. The numerator of the fully simplified expression will be –3x + 10.

Step-by-step explanation:

Given the rational expression

\dfrac{7x+5}{x-1} -(\dfrac{8x-1}{x-1} +\dfrac{2x-4}{x-1} )

Let us first simplify before making our deductions.

Opening the brackets

\dfrac{7x+5}{x-1} -(\dfrac{8x-1}{x-1} +\dfrac{2x-4}{x-1} )=\dfrac{7x+5}{x-1} -\dfrac{8x-1}{x-1} -\dfrac{2x-4}{x-1}

Taking LCM

=\dfrac{7x+5-(8x-1)-(2x-4)}{x-1}

Opening the brackets and simplifying

=\dfrac{7x+5-8x+1-2x+4}{x-1}\\\text{Collecting like terms in the numerator}\\=\dfrac{7x-8x-2x+5+1+4}{x-1}\\=\dfrac{-3x+10}{x-1}

The following statements are therefore true:

2. The denominator of the fully simplified expression will be x – 1.

4. The numerator of the fully simplified expression will be –3x + 10.

5 0
3 years ago
Line "AB" and line "CD" are perpendicular and intersect at point P. What is the measure of angle APC?​
Step2247 [10]

Answer:

APC is 90 degrees

Step-by-step explanation:

When lines intersect and are perpendicular. that means the angle of intersection is 90 degrees.

APC is 90 degrees

7 0
3 years ago
Read 2 more answers
The radius of a circle with an area of 60 square centimeters is represented by the expression √60/π centimeters. What is another
monitta

Answer:

r= 2 √(15/π)

Step-by-step explanation:

Given that :

Area of circle =60sq cm

radius=√60/π

Area=\pi r^2\\60=\pi r^2\\\\\sqrt{\frac{60}{\pi}}=r\\\\\sqrt{\frac{15\times 4}{\pi}}=r\\2\sqrt{\frac{15}{\pi}}=r

Hence the radius can be written as 2 √(15/π)

3 0
3 years ago
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