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melamori03 [73]
3 years ago
9

The number of people who live in a unit of area is called the population density of the area. It usually given as people "per sq

uare mile" or "per square kilometer".
A map of the Orchard Hill Neighborhood is shown. The population of the Orchard Hill Neighborhood is 360 people. The lenght of each block is the same and the lenght of 20 blocks is 1 mile.

What is the area in square miles of Orchard Hill?

A. 0.35 square mile

B. 0.03 square mile

C. 0.15 square mile

D. 0.60 square mile​

Mathematics
1 answer:
bazaltina [42]3 years ago
8 0

Answer: 0.03

Step-by-step explanation:

1 block = 1/20 mile = 0.05 miles

4(0.05) = 0.20

3(0.05) = 0.15

A=l•w=0.20(0.15)=0.03

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8 0
3 years ago
Smallest of 3 consecutive positive intergers if the product of the smaller two intergers is 5 less than 5 times the largest inte
amm1812

What a delightful little problem ! (Partly because I could see
right away how to do it, and had the answer in a few minutes,
after a lot of impressive-looking algebra on my scratch-paper.)

Three consecutive integers are . . . x,  x+1,  and  x+2

The smallest two are . . . x  and  x+1
    Their product is . . . . . x(x+1)

5 times the largest one is . . . 5(x+2)
      5 less than that is . . . . . . 5(x+2)-5

Now, the conditions of the problem say that    <u>x (x + 1) = 5 (x+2) - 5</u>
THAT's the equation we have to solve, to find 'x' .

       Eliminate parentheses:    x² + x = 5x + 10 - 5
            Combine like terms:    x² + x = 5x + 5
Subtract 5x from each side:    x² - 4x = 5
Subtract  5  from each side:   <u>x² - 4x - 5 = 0</u>

You could solve that by factoring it, or use the quadratic equation.

Factored, it says that    (x + 1) (x - 5) = 0

From which       <em>x = -1</em>
             and      <em>x = +5</em>

We only want the positive results, so our three consecutive integers are

             5,  6,  and  7 .   

To answer the question, the smallest one is    <em><u>5 </u></em>.

<u>Check</u>:

   5 x 6  ? = ?  (7 x 5) - 5

       30  ? = ?  (35) - 5

         30   =   30

             yay !   


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8 0
3 years ago
Solve the proportion
mario62 [17]

Answer:

\boxed{\sf x = 5}

Step-by-step explanation:

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8 0
3 years ago
△HES ≅ △PBN, HE = 3.9 cm, SB = 0.9 cm, and NS = 4.5 cm<br><br> What is the length of ES ?
Natali5045456 [20]
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sb = en so en can be plugged in for sb

therefor es = 5.4
3 0
3 years ago
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