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Brums [2.3K]
3 years ago
12

The population of Virginia is 24% less than the population of Georgia,. If the population of Georgia is 10.5 million what is the

population of Virginia
Mathematics
1 answer:
zlopas [31]3 years ago
5 0

The population of Virginia is 7,980,000 people.

  • Let the population of Virginia be V.
  • Let the population of Georgia be G.

<u>Given the following data:</u>

  • Population of Georgia = 10.5 million

To find the population of Virginia:

Translating the word problem into an algebraic expression, we have;

24% percent less:

\frac{24}{100} × 10500000

24 × 105000

24% of G = 2,520,000

Now, we can find the population of Virginia:

V = G - 2,520,000

V = 10,500,000 - 2,520,000

<em>V = 7,980,000 people.</em>

Therefore, the population of Virginia is 7,980,000 people.

Find more information: brainly.com/question/596290

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Which system of equations can be used to find the roots of the equation 4x^5-12x^4+6x=5x^3-2x?
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Arrange the circles (represented by their equations in general form) in ascending order of their radius lengths. X2 y2 − 2x 2y −
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Circles (represented by their equations in general form) in ascending order of their radius lengths can be arranged as first-fifth-second-forth-third-seventh-sixth.

<h3>What is the equation of circle?</h3>

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

(x-h)^2+(y-k)^2=r^2

Here (h,k) is the center of the circle and (r) is the radius of the circle.

Lets arrange the first equation, in standard form of equation of circle as,

x^2 +y^2 - 2x+ 2y -1 = 0 \\(x^2 - 2x) +(y^2+ 2y )= 1\\(x^2 - 2x+1) +(y^2+ 2y +1)= 1+1+1\\(x-1)^2+(y+1)^2=(\sqrt{3})^2

The radius of this circle is √(3).

Lets arrange the second equation, in standard form of equation of circle as,

x^2 +y^2 - 4x+ 4y - 10 = 0  \\(x^2 - 4x) +(y^2+ 4y )= 10\\(x^2 - 4x+4) +(y^2+ 4y +4)= 10+4+4\\(x-2)^2+(y+2)^2=(\sqrt{18})^2

The radius of this circle is √(18).

Lets arrange the third equation, in standard form of equation of circle as,

x^2 +y^2 - 8x - 6y - 20 = 0   \\(x^2 - 8x) +(y^2-6y )= 20\\(x^2 - 8x+16) +(y^2- 6y +9)= 10+16+9\\(x-4)^2+(y-3)^2=(\sqrt{45})^2

The radius of this circle is √(45).

Similarly, radius of the forth, fifth, sixth and seventh circle is √(23), √(5), √(117) and √(46) units.

Hence, the circles (represented by their equations in general form) in ascending order of their radius lengths can be arranged as first-fifth-second-forth-third-seventh-sixth.

Learn more about the equation of circle here;

brainly.com/question/1506955

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2 years ago
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