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NikAS [45]
3 years ago
7

alaska is the largest state in the united states. the state has an area of approximately 663,000 square miles. rhode island is t

he smallest state in the united states, with an area of approximately 1,000 square miles. currently, the populations of alaska and rhode island are 732,000 people and 1 million people, respectively. if alaska had the same number of people per square mile as rhode island, what would its population be? in two or more sentences, explain your calculations and conclusions.
Mathematics
2 answers:
MariettaO [177]3 years ago
8 0

If you do 1,000,000 people divided by 1,000 mi^2, you would get 1,000 people per 1mi^2.

If Alaska had the same number of people per square mile as Rhode Island, its population would be calculated as 663,000 mi^2 times 1,000 people = 663,000,000 people.

34kurt3 years ago
6 0
Rhode Island has 1,000,000 people within an area of 1000 sq miles.....
1,000,000/1000 = 1000 people per sq mile

if Alaska had the same number of people per square mile (1000 people per square mile)...and it has 663,000 square miles....1000 * 663,000 = 663,000,000....it would have a population of 663 million people.
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Solve this problem please
djyliett [7]

The formula for depreciation is:

y=x(1-r)^t

Where x = Initial value,

y= Amount after depreciation.

r= Rate of depreciation,

t = time (in years)

According to given problem,

x = 1040, y= 944 and t = 12 months =1 year.

So, first step is to plug in these values in the above formula, So,

944 = 1040(1-r)^1

944 = 1040 (1 -r)

\frac{944}{1040} =1-r Divide each sides by 1040.

0.907692308 =1 - r

0.907692308 - 1 = -r Subtract 1 from each sides.

-0.092307692 = -r

So, r = 0.09 or 9%.

Now plug in 0.09 in the above equation to get the depreciation equation. So,

y = x (1- 0.09)^t

So, y = 0.91x^t

b) To find the value of the bike after 5 months,

plug in t = 5 months= 5/12 = 0.41667 years in the above equation of depreciation.

So, y= 1040 *(0.91)^{0.41667}

y = 1040 * 0.961465659

y = 999.9242852

y = 1000 (Rounded to nearest integer).

Hence, the value of the bike after 5 months is $1000.

7 0
3 years ago
As part of a science experiment, Greta measured the amount of water flowing from Container A to Container B. Container B had hal
Morgarella [4.7K]

Answer:

2 1/2 gallons

Step-by-step explanation:

add the flow plus the original number

5 0
3 years ago
Yvonne wants to cover the back of her smartphone with a decorative pattern. If the phone's length is 1/2 foot and width is 1/6 f
allochka39001 [22]

Answer:

1/12 square foot

Step-by-step explanation:

Area of the pattern = LEngth * Width

Given the following

Length = 1/2 foot

Width = 1/6 foot

Area of the pattern = 1/2 * 1/6

Area of the pattern  =1/12 square foot

Hence the area that the decorative pattern will cover will be 1/12 square foot

4 0
3 years ago
Solve this inequality.
Tomtit [17]

x < −8/21

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7 0
3 years ago
The distance between the cities Chicago and Toronto is 540 miles. A motorcycle's speed is 48 mph. For a car, it takes 2.25 hours
serious [3.7K]

Answer:

5 hours

Step-by-step explanation:

given :

Distance between the cities = 540 miles

Speed of motorcycle =48 mph

TO CALCULATE THE TIME TAKEN BY MOTORCYCLE TO COVER THE TOTAL DISTANCE WE USE THE FORMULA :

\frac{DISTANCE}{SPEED}

By putting given values in the formula we get :

\frac{540}{48}

= 11.25 hours

Now, We are given that for a car to cover the same distance it takes 2.25 hours less than the time taken by motorcycle

⇒ 11.25 hours - 2.25 hours

⇒ 9 hours

Thus , Time taken by car to cover the same distance is 9 hours .

Now to calculate speed of car by using formula:

\frac{distance}{time}

\frac{540}{9}

= 60 mph

Let t be the time taken to meet if they start moving towards each other.

So distance covered by motorcycle in t hours is

speed\times time

= 48t miles

Distance covered by car in t hours is

speed\times time

= 60t miles

⇒ 60t + 48t =540

⇒ 108t = 540

⇒ t= 5 hours

Therefore, time taken to meet if they start moving towards each other is 5 hours.





7 0
3 years ago
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