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Ad libitum [116K]
4 years ago
8

The land area of a country is about 5.0 million square​ miles, and the population is about 600 million people. What is the avera

ge population​ density?
Mathematics
1 answer:
podryga [215]4 years ago
6 0

Answer:

120 people/sq. mile

Step-by-step explanation:

Population Density is the concept of how "crowdy" a place is. The more the population density, the more crowded that place is.

The population density is found by dividing the "number of people" by the "land area" (in sq mile or sq km).

Here, it is given there are 600 million people, so

Number of People = 600,000,000

And, the land area is given as 5 million square miles, so

Land Area = 5,000,000 sq. miles

Hence,

Population Density = 600,000,000/5,000,000 = 120 people/sq. mile

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Use algebra to solve 3x+4 = 1/x<br> The exact solutions are x=<br> Х
skad [1K]

Answer:

Ignore the A before the ±, it wouldn't let me type it correctly.

x=\frac{2±\sqrt{7}  }{3}

Step-by-step explanation:

3x + 4 = 1 ÷ x

3x + 4 - 4 = 1 ÷ x - 4

3x = 1 ÷ x - 4

3x=\frac{1}{x} +\frac{x(-4)}{x}

3x=\frac{1+x(-4)}{x}

3x=\frac{1-4x}{x}

x(3x)=x(\frac{1-4x}{x})

x · 3x = - 4x + 1

3x² = - 4x + 1

3x² - (- 4x + 1) = 0

3x² + 4x - 1 = 0

Ignore the A before the ±, it wouldn't let me type it correctly.

x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}

a = 3

b = 4

c = - 1

x=\frac{-4±\sqrt{4^{2}-4((3)(-1)) } }{2(3)}

x=\frac{-4±\sqrt{16-4((3)(-1)) } }{2(3)}

x=\frac{-4±\sqrt{16+12 } }{2(3)}

x=\frac{-4±\sqrt{28 } }{2(3)}

x=\frac{-4±\sqrt{(2)(14) } }{2(3)}

x=\frac{-4±\sqrt{(2)(2)(7) } }{2(3)}

x=\frac{-4±\sqrt{2 } \sqrt{2}\sqrt{7}  }{2(3)}

x=\frac{-4±2\sqrt{7}  }{2(3)}

x=\frac{-4±2\sqrt{7}  }{6}

Two separate equations

x=\frac{-4+2\sqrt{7}  }{6}

x=\frac{2+\sqrt{7}  }{3}

x=\frac{-4-2\sqrt{7}  }{6}

x=\frac{2-\sqrt{7}  }{3}

7 0
3 years ago
2)
ycow [4]

Answer:

The altitude is changing at a speed of 200 √3 km/hr

Step-by-step explanation:

Here, we want to know how far the altitude of the plane is changing

we are told that the airplane makes an angle of 60 degrees with the ground

So therefore , the rate of change of its altitude will be ;

sin 60 = x/ 400

x = 400 sin 60

x = 400 * √3/2

x = 200 √3 km/hr

4 0
3 years ago
How many miles of running the nash <br> improved by from week one to week five?
stiks02 [169]

Answer: He ran 8 miles on week 5, which was an improvement of 6.4 miles compared to the 1.6 miles he ran on the first week,

Step-by-step explanation:

In the fifth week, the ratio of the number of miles he ran to the number of miles he walked improved to 8:5

Nash ran 8 miles in 5 weeks.

In 1 week he ran 1.6 miles

8 - 1.6 = 6.4

4 0
4 years ago
The larger of two numbers is four more than the smaller. The sum of the two is 40. What is the larger number?​
zvonat [6]
12 and 28,because n + (2n + 4) = 40, 3n + 4 = 40, 3n = 36. n = 12. 12x2 + 4 = 28. 28 is the larger number.
7 0
3 years ago
How is solving a literal equation similar to solving a standard equation??
timama [110]

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This process of solving a formula for a given variable is called "solving literal equations". One of the dictionary definitions of "literal" is "related to or being comprised of letters", and variables are sometimes referred to as literals. So "solving literal equations" seems to be another way of saying "taking an equation with lots of letters, and solving for one letter in particular."

At first glance, these exercises appear to be much worse than your usual solving exercises, but they really aren't that bad. You pretty much do what you've done all along for solving linear equations<span> and other sorts of equation; the only substantial difference is that, due to all the variables, you won't be able to simplify your answers as much as you're used to. </span>
8 0
3 years ago
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