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2 years ago

15

A county has a population density of 257 people per square mile. The county population is 4288. What is the area of this county?

Round to the nearest square mile if necessary

1 answer:

ladessa [460]2 years ago

5 0

Answer:

The area of the country is 17 square miles

Step-by-step explanation:

To calculate the population density of the country. We employ the use of a mathematical formula. This can easily be obtained from the units of the density

The population density = Population of the country/area of the country

Since we are to calculate the area of the country, the equation becomes

Area of country = Population of country/population density of country

Area of country = 4288/257

Area of country = 16.68 square mile

To the nearest square mile, the Area of the country = 17 square mile

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Read 2 more answers

What are the solutions to the following system?

bija089 [108]

The solutions are $(\sqrt{2},-1) \text { and }(-\sqrt{2},-1)$ .

Solution:

Given equation:

$-2 x^{2}+y=-5$

Add $2 x^{2}$ on both sides.

$-2 x^{2}+y+2 x^{2}=-5+2 x^{2}$

$y=-5+2 x^{2}$ -------- (1)

$y=-3 x^{2}+5$ (given) -------- (2)

Equate (1) and (2).

$-5+2 x^{2}=-3 x^{2}+5$

Add $3 x^{2}$ on both sides.

$-5+2 x^{2}+3 x^{2}=-3 x^{2}+5 +3 x^{2}$

$-5+5x^{2}=5$

Add 5 on both sides.

$-5+5x^{2}+5=5+5$

$5x^{2}=10$

Divide by 5 on both sides, we get

$x^{2}=2$

Taking square root on both sides, we get

$x=\sqrt{2}, x=-\sqrt{2}$

Substitute $x=\sqrt{2}$ in (1).

$y=-5+2(\sqrt{2})^2$

$y=-5+4$

$y=-1$

Substitute $x=-\sqrt{2}$ in (1).

$y=-5+2(-\sqrt{2})^2$

$y=-5+4$

$y=-1$

Therefore the solutions are $(\sqrt{2},-1) \text { and }(-\sqrt{2},-1)$ .

Option C is the correct answer.

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