The population of the county is 76,869.
Step-by-step explanation:
Given,
Number of people with Diabetes = 12914
Percent of people with Diabetes = 16.8%
Let,
x be the number of people in county.
16.8% of x = 12914
Dividing both sides by 0.168
Rounding off to nearest whole number
x = 76,869
The population of the county is 76,869.
Keywords: division, percentage
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The answer is (2x-1) x (22+9x) simplified. (The x in the middle is for multiplication)
Answer:
no solution
Step-by-step explanation:
if you distribute and simplify:
4x-12 = 12+4x-8
4x-12 = 4x+4
-12 ≠ 4
Answer:
x = 76/15
Step-by-step explanation:
Solve for x:
-(3 x)/4 + 1/3 + 6 = x/2
Put each term in -(3 x)/4 + 1/3 + 6 over the common denominator 12: -(3 x)/4 + 1/3 + 6 = -(9 x)/12 + 4/12 + 72/12:
-(9 x)/12 + 4/12 + 72/12 = x/2
-(9 x)/12 + 4/12 + 72/12 = (-9 x + 4 + 72)/12:
(-9 x + 4 + 72)/12 = x/2
Grouping like terms, -9 x + 4 + 72 = (72 + 4) - 9 x:
((72 + 4) - 9 x)/12 = x/2
72 + 4 = 76:
(76 - 9 x)/12 = x/2
Multiply both sides by 12:
(12 (76 - 9 x))/12 = 6 x
(12 (76 - 9 x))/12 = 12/12×(76 - 9 x) = 76 - 9 x:
76 - 9 x = (12 x)/2
12/2 = (2×6)/2 = 6:
76 - 9 x = 6 x
Subtract 6 x from both sides:
76 + (-9 x - 6 x) = 6 x - 6 x
-9 x - 6 x = -15 x:
-15 x + 76 = 6 x - 6 x
6 x - 6 x = 0:
76 - 15 x = 0
Subtract 76 from both sides:
(76 - 76) - 15 x = -76
76 - 76 = 0:
-15 x = -76
Divide both sides of -15 x = -76 by -15:
(-15 x)/(-15) = (-76)/(-15)
(-15)/(-15) = 1:
x = (-76)/(-15)
Multiply numerator and denominator of (-76)/(-15) by -1:
Answer: x = 76/15
The left side of this equation is already a perfect square: <span>x^2-10x+25=35.
Rewriting it, we get (x-5)^2 = 35.
Taking the sqrt of both sides, x-5 = sqrt(35).
Solving for x: x = 5 plus or minus sqrt(35) (answers)</span>