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3 years ago

11

India has a population density of 840 people per sq. mile. If we estimate the population of the US to be 300,000,000 and the tot

al land area to be 3,500,000 sq miles, what is our population density?
85.7 people/ sq mi
8 people/ sq mi
840 people/sq mi
300,000,000 people/ sq mi

1 answer:

raketka [301]3 years ago

3 0

Answer:

A. 85.7 people/ sq mi

Step-by-step explanation:

<u>Population density is:</u>

Pd = population / area
Pd = 300000000 people / 3500000 sq mi = 85.7 people/ sq mi

Correct option is A

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3 years ago

A chemist wishes to mix a solution that is 6% acid. She has on hand 14 liters of a 4% acid solution and wishes to add some 10% a

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she should add 7 liters of 10% acid solution

Explanation

Step 1

set the equation:

a) let X represents the amount os solution that is 4% acid

let Y represents the amount os solution that is 10% acid

so

I)

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(x+y) \\ \end{gathered}$

if he has 14 liters of 4% acid solution

$x=14$

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ \frac{4}{100}*14+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ 0.56+0.1Y=0.06(14+Y) \\ 0.56+0.1Y=0.84+0.06Y \\ \end{gathered}$

Step 2

solve the equation :

$\begin{gathered} 0.56+0.1Y=0.84+0.06Y \\ subtract\text{ 0.06Y in both sides} \\ 0.56+0.1Y-0.06Y=0.84+0.06Y-0.06Y \\ 0.56+0.04Y=0.84 \\ subtract\text{ 0.56 in both sides} \\ 0.56+0.04Y-0.56=0.84-0.56 \\ 0.04Y=0.28 \\ divide\text{ both sides by 0.04} \\ \frac{0.04Y}{0.04}=\frac{0.28}{0.04} \\ Y=7 \end{gathered}$

therefore,

she should add 7 liters of 10% acid solution

I hope this helps you

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1 year ago