x = 6
The average of 4 numbers is 6, which means that (3 + 5 + 10 + x) all divided by 4 is 6. That means that 3 + 5 + 10 + x = 24, because 24/4 is 6.
18 + x = 24, subtract 18 from 24 to get x = 6.
4x - 3y + 20 = 0....4x - 3y = -21
4x - 3y = -21.....multiply by -2
5x - 6y = -25
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-8x + 6y = 42 (result of multiplying by -2)
5x - 6y = -25
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-3x = 17
x = -17/3
this system of equations has 1 solution
If state has 1627260 people and 1490 square miles, then we divide the number of people by the area and we get the density per square mile.
1627260 / 1490 = 1092,120805369128
After rounding it to the nearest whole number we get 1092.
The answer: In such a state 1092 people live in a square mile.
The correct answer is letter D, Region D contains the solution for the system of inequalities.