12.5 is greater than 1.25
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
Answer:
2 = x -7 = x
Step-by-step explanation:
f(x) = (x - 2)(x + 7)
y = (x - 2)(x + 7)
Set y = 0
0 = (x - 2)(x + 7)
Using the zero product property
0 = x-2 0 = x+7
2 = x -7 = x
Answer:
The other distances are 400 ft and 750 ft.
Step-by-step explanation:
a + b + c = 2000
a + b + 850 = 2000
a + b = 1150 Equation 1
a^2 + b^2 = c^2
a^2 + b^2 = 850^2
a^2 + b^2 = 722,500 Equation 2
a + b = 1150
a^2 + b^2 = 722,500
a = 1150 - b
(1150 - b)^2 + b^2 = 722,500
1,322,500 - 2300b + b^2 + b^2 = 722,500
2b^2 - 2300b + 600,000 = 0
b^2 - 1150b + 300,000 = 0
![x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cdfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2%20-%204ac%7D%7D%7B2a%7D%20)
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![x = \dfrac{1150 \pm \sqrt{1,322,500 - 1,200,000}}{2}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cdfrac%7B1150%20%5Cpm%20%5Csqrt%7B1%2C322%2C500%20-%201%2C200%2C000%7D%7D%7B2%7D%20)
![x = \dfrac{1150 \pm \sqrt{122,500}}{2}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cdfrac%7B1150%20%5Cpm%20%5Csqrt%7B122%2C500%7D%7D%7B2%7D%20)
![x = \dfrac{1150 \pm 350}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B1150%20%5Cpm%20350%7D%7B2%7D)
![x = \dfrac{1500}{2}~~~or~~~x = \dfrac{800}{2}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cdfrac%7B1500%7D%7B2%7D~~~or~~~x%20%3D%20%5Cdfrac%7B800%7D%7B2%7D%20)
x = 750 or x = 400
Answer: The other distances are 400 ft and 750 ft.
Answer:
Step-by-step explanation:
a)
The answer is greater than 450 because the percentage is less than 100%
b)
36% = 36/100 = 0.36
450/0.36 = 1250
how many people were surveyed?:
1250