physics
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physics
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algebra
X 10-point questions. Y 5-point questions. Eq1: X + Y = 21 Questions Eq2: 10x + 5y = 200 Points. Multiply Eq1 by -5 and add Eq1 and Eq2: -5x - 5y = -105 10x + 5y = 200 Solution set: (X,Y) = (19,2). 5x = 95 X = 19 In Eq1, replace x with 19: 19 + y = 21 Y = 2.
algebra
10 - 0.5y = 1.5x -1.5x - 0.5y = -10 Multiply both sides by -2: Eq1: 3x + y = 20 y = 0.5(6x+40) y = 3x + 20 Eq2: -3x + y = 20 Add Eq1 and Eq2: 2y = 40 Y = 20 In Eq1. replace y with 20: 3x + 20 = 20 3x = 20-20 = 0 X = 0. Solution Set: (x,Y) = (0,20).
Physics
V=pi*r^2 * h=3.14*0.35^2 * 2.1=0.8o8 m^3 Mass = 0.808 m^3 * 2200kg/m*3=1777.1 kg. Wt. = 1777.1kg * 1Lb/0.454kg = 3914 Lbs.
math
The slope of the perpendicular line is the negative reciprocal of the give slope. m = -(-1/8)= 1/8.
Algebra
y = -3x/2 + 3 Multiply both sides by -2: -2y = 3x - 6 2y = -3x + 6 2y = 6 - 3x Answer = A.
algebra word problem
X Students sold. X+100 Adult tickets sold. 2000-(x+x+100) = 1900-2x Children tickets sold. 10x + 12(x+100) + 5(1900-2x) = $19,700. 10x + 12x+1200 + 9500-10x = 19700 12x = 19700-10700 = 9000 X = 750 X+100 = 850 1900-2x = 400.
Maths
Use the law of cosines. cosA = (-a^2+b^2+c^2)/2bc. cosA=(-(8.6)^2+(9.1)^2+(9.7)^2)/176.54 = 0.58310. A = 54.33o. Area = 0.5*bc*sinA. Area=0.5*9.1*9.7*sin(54.33) = 35.9 cm^2
physics
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