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# Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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 Expressions-with-variables/386666: what is eliminatoin and substitution and how do i do it if i am having problems with it?1 solutions Answer 273325 by Alan3354(30993)   on 2010-12-15 16:22:29 (Show Source): You can put this solution on YOUR website!There are many of these solved on the site. Look them up, or post an example.
 Travel_Word_Problems/386641: With a tailwind, a small aircraft can fly 900 miles in 5 hours. Against the same wind, the plane can fly the same distance in 6 hours. Find the average wind speed and the average air speed of the plane.1 solutions Answer 273306 by Alan3354(30993)   on 2010-12-15 15:27:20 (Show Source): You can put this solution on YOUR website!With a tailwind, a small aircraft can fly 900 miles in 5 hours. Against the same wind, the plane can fly the same distance in 6 hours. Find the average wind speed and the average air speed of the plane. --------------- 900/5 = 180 mph 900/6 = 150 mph The plane's airspeed is the average = (180 + 150)/2 = 165 mph The windspeed is the difference = 15 mph
 Inequalities/386515: I would like to know if this expression is true or false 4x-7>2x+5 x=-2 1 solutions Answer 273252 by Alan3354(30993)   on 2010-12-15 10:50:45 (Show Source): You can put this solution on YOUR website!I would like to know if this expression is true or false 4x-7>2x+5 x=-2 -------------------- 4x-7>2x+5 2x-7 > 5 2x > 12 x > 6 ------- What does x = -2 have to do with it?
 Equations/386470: The difference of two numbers (i.e., bigger minus the smaller) is 4. If twice the smaller plus three times the larger is 52, what are the two numbers?1 solutions Answer 273246 by Alan3354(30993)   on 2010-12-15 10:29:42 (Show Source): You can put this solution on YOUR website!Use b and s, for big and small. b - s = 4 2s + 3b = 52 Can you finish it?
 Functions/386499: I'm not really understanding sine, cosine, and tangent. How do you know which one to use, and when? and how do you keep straight hypotoneuse and adjacents? Seems to me their always different. 1 solutions Answer 273228 by Alan3354(30993)   on 2010-12-15 09:43:50 (Show Source): You can put this solution on YOUR website!Look up the unit circle. Hypotenuse is always the long side. Adjacent to an angle is next to it. Side opposite an angle means that side doesn't form the angle.
 Triangles/386488: Use the graphs of y=2x+6, 3x+2y=19 and y=2, which contain the sides of a triangle. 1. Find the coordinates of the vertices of the triangle. 2. Find the area of the triangle1 solutions Answer 273225 by Alan3354(30993)   on 2010-12-15 09:36:10 (Show Source): You can put this solution on YOUR website!Use the graphs of y=2x+6, 3x+2y=19 and y=2, which contain the sides of a triangle. 1. Find the coordinates of the vertices of the triangle. 2. Find the area of the triangle ---------------------- I don't know of a "slick" or elegant way to do this, just grind it out. Sub y=2 into the other eqns to find the vertices. y=2x+6 and y=2 2 = 2x+6 x = -2 --> (-2,2) vertex A ----------- 3x+2y=19 and y=2 3x+4 = 19 x = 5 --> (5,2) vertex B -------------- y=2x+6 3x+2y=19 Sub for y 3x + 2(2x+6) = 19 7x + 12 = 19 x = 1 --> (1,8) vertex C ---------------------- To find the area, list the points in columns and repeat the 1st point The + signs are for alignment .A...B...C...A -2 +5 +1 -2 +2 +2 +8 +2 Starting at the left, add the products of the upward diagonals, the the downward Upward: 2*5 + 2*1 + 8*-2 = 10 + 2 - 16 = -4 Downward: -2*2 + 5*8 + 1*2 = -4 + 40 + 2 = 38 ---------- The difference is 38 -(-4) = 42 The area is 1/2 that, = 21 sq units ----------------------------------- PS The method for calculating area works for polygons of any shape, and any number of sides. It doesn't seem to be well known.
 Roman-numerals/386372: DTD caps no. LX1 solutions Answer 273208 by Alan3354(30993)   on 2010-12-15 08:00:00 (Show Source): You can put this solution on YOUR website!what?
 Quadratic_Equations/386417: please help me slove this question f(x)=x^2+7 i got this but i dont know what to do from here -7+ or - the square root of 85 over 21 solutions Answer 273206 by Alan3354(30993)   on 2010-12-15 07:58:18 (Show Source): You can put this solution on YOUR website!f(x)=x^2+7 x^2 + 7 = 0 x^2 = -7 x = ± isqrt(7) (i = sqrt(-1) )
 test/386454: Show that the same result holds for 1 4/5 and 2 1/41 solutions Answer 273205 by Alan3354(30993)   on 2010-12-15 07:55:36 (Show Source): You can put this solution on YOUR website!Same result as what?
 test/386460: Bahasa inggrisnya 91995001 solutions Answer 273204 by Alan3354(30993)   on 2010-12-15 07:54:51 (Show Source): You can put this solution on YOUR website!Cattle.
 Polynomials-and-rational-expressions/386463: How do you solve A to the sixth power plus 1 1 solutions Answer 273203 by Alan3354(30993)   on 2010-12-15 07:54:13 (Show Source): You can put this solution on YOUR website!It's not an equation, so there's nothing to solve. All equations have an equal sign.
 Linear_Equations_And_Systems_Word_Problems/386451: Solve the equation and graph x-4y=8.1 solutions Answer 273202 by Alan3354(30993)   on 2010-12-15 07:53:16 (Show Source): You can put this solution on YOUR website!A single equation with 2 variables cannot be "solved." You can solve for x in terms of y, or y in terms of x, but that's all. The equation is a line, as the other tutor drew. Every point on the line fits the equation.
 Exponents/386464: What is 98 to the 0 power? 1 solutions Answer 273201 by Alan3354(30993)   on 2010-12-15 07:51:14 (Show Source): You can put this solution on YOUR website!it's 1. Anything to the power of 0 = 1. By convention, 0^0 = 1 also.
 Travel_Word_Problems/386405: if a train leaves chicago going west at 80 mph and another train leaves san francisco going east at 50 mph, when will they mee1 solutions Answer 273147 by Alan3354(30993)   on 2010-12-14 23:22:46 (Show Source): You can put this solution on YOUR website!Thursday?
 Evaluation_Word_Problems/386389: Can I please get some help? Find the Zeros of f(x)= x3 -4x2+ 2x+ 4. Thank you. 1 solutions Answer 273137 by Alan3354(30993)   on 2010-12-14 22:40:13 (Show Source): You can put this solution on YOUR website!It doesn't factor. Check factors of 4 for zeroes: ± 1, 2 & 4
 Rate-of-work-word-problems/386140: one man working alone can paint a room in 5 hours, another man can paint it in 7 hours alone. How long will it take two men working together to paint the room?1 solutions Answer 273012 by Alan3354(30993)   on 2010-12-14 16:05:14 (Show Source): You can put this solution on YOUR website!Hint: Use the inverses, rooms per hour.
 Angles/386075: what is m equal in angles1 solutions Answer 273011 by Alan3354(30993)   on 2010-12-14 16:04:31 (Show Source): You can put this solution on YOUR website!What do you mean?
 Rectangles/386086: rectangle is 26 cm base is 36 what is the area of the rectangle1 solutions Answer 273010 by Alan3354(30993)   on 2010-12-14 16:03:45 (Show Source): You can put this solution on YOUR website!It's not clear, but probably 26*36 sq cm.
 Polynomials-and-rational-expressions/386131: Solve the system of equations below by graphing them with a pencil and paper. Enter your answer as an ordered pair. y = -3x + 1 y = -x + 5 1 solutions Answer 273007 by Alan3354(30993)   on 2010-12-14 16:00:25 (Show Source): You can put this solution on YOUR website!Ok, I did that. Now what?
 Miscellaneous_Word_Problems/386099: Height of a projectile. The height H, in feet, of a projectile with an initial velocity of 96 ft/sec is given by the equation H=-16t squared + 96t where t= time, in seconds. Use any equation-solving technique to answer the following questions. a) How many seconds after launch is the projectile 128 ft above ground? b) When does the projectile reach its maximum height? c) How many seconds after launch does the projectile return to the ground? 1 solutions Answer 272999 by Alan3354(30993)   on 2010-12-14 15:04:13 (Show Source): You can put this solution on YOUR website!Height of a projectile. The height H, in feet, of a projectile with an initial velocity of 96 ft/sec is given by the equation H=-16t squared + 96t where t= time, in seconds. Use any equation-solving technique to answer the following questions. a) How many seconds after launch is the projectile 128 ft above ground? (t-4)*(t-2) = 0 t = 2 seconds (going up) t = 4 seconds (descending) --------------------- b) When does the projectile reach its maximum height? Using the info above, it's at t = 3 seconds. --------------------- c) How many seconds after launch does the projectile return to the ground? When H = 0 H=-16t squared + 96t = 0 t = 0 (launch) t = 6 (impact) t in seconds
 Equations/386100: Write the slope-intercept form of the equation. (5,2) and (0,-9) 1 solutions Answer 272996 by Alan3354(30993)   on 2010-12-14 14:58:45 (Show Source): You can put this solution on YOUR website!What equation?
 Geometry_proofs/386097: angle ABD is a right angle .... what would be the reason or theorem for that?1 solutions Answer 272994 by Alan3354(30993)   on 2010-12-14 14:47:42 (Show Source): You can put this solution on YOUR website!look up the Pythagorean Theorem.
 Linear_Equations_And_Systems_Word_Problems/386011: Let t represent the number of years after 1997. find a linear equation that defines the number of area codes in terms of t.1 solutions Answer 272958 by Alan3354(30993)   on 2010-12-14 11:55:36 (Show Source): You can put this solution on YOUR website!# of AC = f(t) There's no way to know if it's linear without additional info.
 Linear-systems/385954: Hello! I am trying to solve this one using back substitution. {x-y-2z=10 {2y+2z=-8 z=-1 Thanks1 solutions Answer 272952 by Alan3354(30993)   on 2010-12-14 09:46:47 (Show Source): You can put this solution on YOUR website!Linear-systems/385954 (2010-12-14 08:47:52): Hello! I am trying to solve this one using back substitution. x-y-2z=10 2y+2z=-8 z=-1 ------------ 2y+2z=-8 Sub for z 2y + 2*-1 = -8 2y = -6 y = -3 ------- x-y-2z=10 Sub for y & z x - (-3) -2(-1) = 10 x + 3 + 2 = 10 x = 5
 Distributive-associative-commutative-properties/385963: 9 divided by 9 divided by 9 =1 solutions Answer 272950 by Alan3354(30993)   on 2010-12-14 09:40:41 (Show Source): You can put this solution on YOUR website!= 1/9
 Equations/385936: simplify please be sure to show all of your work 8-5/8+1/2*6/91 solutions Answer 272949 by Alan3354(30993)   on 2010-12-14 09:39:58 (Show Source): You can put this solution on YOUR website!It's ambiguous. Add some parentheses.
 Rectangles/385873: Find the dimensiojns of the largest rectangle that can be fenced off usinf 800 feetr of fencing.1 solutions Answer 272946 by Alan3354(30993)   on 2010-12-14 09:08:53 (Show Source): You can put this solution on YOUR website!It's a square, so it's 200 by 200 feet. Area = 200*200 = 40000 sq feet. ----------------- 1 acre = 43560 sq ft
 Linear-systems/385887: x-3y-7z+w=11 2x-4y+6z-3w=-3 3x+2y+z+2w=19 4x+y-3z+w=221 solutions Answer 272945 by Alan3354(30993)   on 2010-12-14 09:01:36 (Show Source): You can put this solution on YOUR website!x-3y-7z+w=11 2x-4y+6z-3w=-3 3x+2y+z+2w=19 4x+y-3z+w=22 --------------- w = 1207/373 x = 1641/373 y = -45/373 z = -160/373
 percentage/385942: Solve the following equation for m. Please show all of your work s= 4m-3n/211 solutions Answer 272942 by Alan3354(30993)   on 2010-12-14 08:39:05 (Show Source): You can put this solution on YOUR website!Solve for what?
 Linear-equations/385927: An airplane 30,100 feet above the ground begins descending at the rae of 2,150 feet per minute. Write and solve a linear equation to find how long it will take the plane to reach the ground. (Use y=mx+b) 1 solutions Answer 272939 by Alan3354(30993)   on 2010-12-14 08:34:07 (Show Source): You can put this solution on YOUR website! An airplane 30,100 feet above the ground begins descending at the rae of 2,150 feet per minute. Write and solve a linear equation to find how long it will take the plane to reach the ground. (Use y=mx+b) ------------------ h(t) = 30100 - 2150t, h in feet, t in minutes ------------ At the ground, h= 0 30100 - 2150t = 0 30100 = 2150t t = 30100/2150 t = 14 minutes ------------------
 Rational-functions/385926: Given the following function: .Find .1 solutions Answer 272936 by Alan3354(30993)   on 2010-12-14 08:27:10 (Show Source): You can put this solution on YOUR website!Given the following function: .Find Did you mean ? If so, f'(x) = =