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stiks02 [169]
3 years ago
7

WHat is the unit rate in terms of people per square mile when there are 646,449 people in 68.3 square miles?

Mathematics
2 answers:
Oliga [24]3 years ago
8 0
If there are 646,449 people in 68.3 square miles. each square mile area has 9465 people.
Sliva [168]3 years ago
5 0

Answer:

The answer is \frac{646,449}{68.3} =9,464.85

Step-by-step explanation:

In order to determine the unit rate, we have to know about rates.

In any "rate", the number is representing the fraction of two measures. For example in physics, the velocity is the rate of distance per time, where we divide the distance measure by the time measure.

In this case, we have two measures:

  1. people.
  2. square mile.

So, the rate that relates both measures is:

\frac{people}{square mile} \\\frac{646,449}{68.3}\\ 9,464.85

Finally the unit rate is:

\frac{646,449}{68.3} =9,464.85

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3 years ago
Find three consecutive even numbers whose sum is 1884.
Scilla [17]

Answer:

smallest number=626

middle number=628

larger number=630

Step-by-step explanation:

To find the numbers, let's use n as the variable. Since we know that the numbers are consecutive even numbers, we know that they increase by 2. For example, we could have 2+4+6=12.

Knowing that the consecutive numbers increase by two's, we can use this.

smallest number: n

middle number: n+2

larger number: n+4

All we have to do is add these together and set it equal to 1884.

n+(n+2)+(n+4)=1884          [combine like terms]

3n+6=1884                         [subtract both sides by 6]

3n=1878                              [divide both sides by 3]

n=626

Now that we know n=626, we also know that the other numbers are 626, 628, 630 respectively.

5 0
3 years ago
Find the area of the blue sector(s). The diameter is 14.
pav-90 [236]

The area of the entire circle is pi*(7)^2, or 49pi.


Due to the 90 degree angle, the area of the larger blue sector is


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The area of the smaller blue sector is


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360


The total area of the blue sectors is the sum of 98 pi/15 and 49 pi/4 (units^2):


59 units^2

5 0
3 years ago
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