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kudum
Answers (97)
(7w +14)/12 = (2w - 14)/6 7w +14 = 4w - 28 7w - 4w + 14 = 4w - 4w - 28 3w + 14 = -28 3w + 14-14 = - 28 -14 3w = -42 w = -14
y = 0 solve for x 3x + 4 = 0 3x+ 4 - 4 = 0 - 4 3x = -4 3x/3 = -4/3 x = -4/3 when x = 0, solve for y y = 3(0) + 4 y = 4 (-4/3, 0) and (0, 4)
C = 2x + 2y C = 16x + 4y A = xy 900 = xy y = 900/x C = 16x + 4(900/x) C = 16x + 3600/x C' = 16 - 3600/x^2 0 = 16 - 3600/x^2 16 = 3600/x^2 16x^2 = 3600 x^2 = 225 x = 25 y = 900/15 y = 60
3/2 = x/40 2x = 120 x = 60
960t - 192(2) = 192t 960t - 384 = 192t -384 = 192t -960t -384 = -768t t = .5 .5 hour 1/2 hour
$2.88/18 = 0.16 cent
mu = np mean = np = 0.22 *16 =3.52 Standard Deviation = Sqrt(n PQ) = Sqrt(16 *.22 *.78) = 1.656985
R(x) = Px R(x) = (28-5x)x R(x) = 28x - 5x^2
= (x-h)^2 +(y-k)^2 =r^2 = (x+7)^2 +(y+3)^2 = 13^2
z= (42-37.5)/7.6 z = 0.59
P = 2l + 2w
rulers --- x folders --- x+16 x + x+16 = 36 2x = 20 x = 10 y = 26 so she bought 10 rulers and 26 folders cost of ruler --- y cost of folder --- y + .5 10y + 26(y+ .5) = 20.20 10y + 26y + 13 = 20.20 36y = 7.2 y = 0.20 A ruler costs $0.20 and a folder costs
Lexi's --- x Maria's --- 250-x Lexi spent 2/5 of x, so she has 3x/5 left Maria spends 40, so she has 250-x-40 or 210-x left 3x/5 = 210-x times 5 to get rid of fractions 3x = 1050 - 5x 8x = 1050 x =131.25 So Lexi had $131.25 and Maria had 118.75
z= (130 -135)/25.1 z = z = (181- 135)/25.1 z =
400F/A = Av^2 V = sqrt(400F/A) or = 20Sqrt(F/A)
400F = Av^2 V = sqrt(400FA) or = 20Sqrt(FA)
2x^2 + 4xy = 600 4xy = 600 -2x^2 y = (300 -x^2)/2x v = x^2y = x^2(300-x^2)/2x = 150x - x^3/2 dv/dx = 150 - 3/2 x^2 0 = 150 -3/2 x^2 x = 10 y = (300 - 10^2 )/2*10 y = 10 V = x^2 y V = 10^2 (10) V= 1000 Cm^2
6a + 7b
3z^3+2z-12z^2-8 = 3z^3 -12Z^2 + 2z -8 = 3z^2(z-4)+2(z -4) =(z-4)(3z^2 +2)
a. v = at b.g = pe/mh c. p/2 -l = w d. (d-a)/ab = c
A =7/30 *90 degrees A = 21 degrees B= 23/30 *90 = 69 degrees
a. z = (64 - 63.4)/2.3 b. z = (64 - 63.4)/(2.3/Sqrt(43))
0.5x +1 = .25x + 5 0.25x = 4 x = 16
xbar = 50 X, (X, - x) 2 30 (30 -50)^2 = 400 32 (32 - 50)^2 = 324 33 (33- 50)^2 = 289 35 (35- 50)^2 = 225 49 (49 -50)^2 = 1 50 (50 -50)^2 = 0 50 (50 -50^2 = 0 71 (71 -50)^2 = 441 73 (73 - 50)^2 = 529 77 (77 -50)^2 = 729
68/5 - 25/4 =(272 - 125)/20 = 147/20 = 7 7/20 1/6 + 3/4 ( 2 + 9)/12 = 11/12
x = 1-2y 5x -4y = -23 5(1 -2y) - 4y = -23 5 - 10y - 4y = -23 5 - 14y = -23 5 - 5 - 14y = - 23 -5 - 14y = -28 y = 2 x = 1- 2(2) x = -3 (-3, 2)
200 * 2.55 = $ 510 510 * 1.35 = $688.50 200 * .97 = 194 688.5/194 = $3.55
x + y = 60 4.49x + 5.95y = 317 substitution method x = 60 - y 4.95(60 - y) + 5.95y = 317 297 - 4.95y + 5.95 = 317 1y + 297 = 317 y + 297 - 297 = 317 - 297 y = 20 x + 20 = 60 x + 20 - 20 = 60 -20 x = 40
cos(a) = 1/2 a = cos^-1(1/2) a = 60 degrees
P - C = R + C - C R = P - C
54 * 96 = 5184 54 + 96 = 150
2) the last is wrong. 2. one solution
you're welcome.
6x -3y = 15 7x + 14 y = 10 14(6x - 3y = 15) 3(7x + 14y = 10) 84x - 42y = 210 21x + 42 y = 30 105x = 240 x = 16/7 y = -3/7 (16/7, - 3/7) 1. No Solution 2. Infinitely many solutions
5x - y = 0 3x + y = 24 8x = 24 x = 3 5(3) - y = 0 15 - y = 0 15-15 - y = 0 -15 -y = -15 y = 15 ( 3, 15) 2) 3x +3y = 27 x - 3y = -11 4x = 16 x = 4 4 - 3y = -11 4-4 - 3y = -11 -4 -3y = -15 y = 5 (4, 5) 3) 6x + 4y = 42 2(-3x + 6y = -6) 6x + 4y = 42 -6x + 6y =
= 60 +12x 60 + 12(4) = $108
3x
they are all correct.
first is correct = -3 + 2(6z +1) = -3 +12z +2 = -1 + 12z
3x + 4 < 9 =3x
9-n/5 = 19 45-n = 95 45 - 45 - n = 95 - 45 -n = 50 n = -50
Vp= 724(cos(60), sin(60)) = 724 (1/2 , (√3)/2) = (362, 362√3) Vw = 32(cos(0), sin(0)) = (32, 0) VR = (√394^2 + (362√3)^2)) = 740.5 km/h tanθ = (362√3)/394 θ = tan^-1(362√3)/394) θ = 57.85 degree N = 32.15 degree
A = LW A = 2/3 L 2 2/3 2/3 = 8/3W 2/3 *3/8 = 3/8(8/3W) 1/4 = W
5x(x-3)/(x -1)(5(x-3) x/(x-1)
22/88 *100 = 25%
42% * 87 = 36.54
17/51 *100
(102x -228)/6 +51 = 200
11 * 102 - 228 1122 - 228 = 894 894 /6 = 149 149 + 51 = 200
A = LW L = w + 5 36 = W(W + 5) 36 = W^2 + 5W W^2 + 5W - 36 = 0
