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# Recent problems solved by 'Alan3354'

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 test/415566: What is the exponent of 63?1 solutions Answer 291306 by Alan3354(30959)   on 2011-02-28 20:54:23 (Show Source):
 test/415570: I have no idea on how to do prevalgebra1 solutions Answer 291305 by Alan3354(30959)   on 2011-02-28 20:53:50 (Show Source): You can put this solution on YOUR website!You should learn.
Quadratic_Equations/415558: can you show me the steps of solving the quadratic equation but in the other form that's -(b)+-square root of b squared minus 4ac over 2a because i know how to solve it but i don't understand it.
1 solutions

Answer 291304 by Alan3354(30959)   on 2011-02-28 20:35:45 (Show Source):
You can put this solution on YOUR website!
eg:
 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . The discriminant -3 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -3 is + or - . The solution is , or Here's your graph:

example 2:

 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=49 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 4, -3. Here's your graph:

 Travel_Word_Problems/415413: Truck is driving 60mph a car leaves 7 minutes later going 72mph how long before the car catches the truck1 solutions Answer 291248 by Alan3354(30959)   on 2011-02-28 17:23:09 (Show Source): You can put this solution on YOUR website!60 mi/hr = 1 mile/minute The truck is 7 miles ahead (1*7) The car "gains on" the truck at 12 mph (72 - 60) It'll take 7/12 hours = 35 minutes ---------------------------------- PS "gains on" is a common term, but it's better to consider a different frame of reference. The speed of the car relative to the truck is 12 mi/hr is a better perspective.
 Angles/415277: find the measure of two complementry angles if one angle is fourty-four times the other angle1 solutions Answer 291181 by Alan3354(30959)   on 2011-02-28 14:21:25 (Show Source): You can put this solution on YOUR website!They add to 90º. 44 + 1 = 45 90/45 = 2 --> 2º and 88º
 Quadratic_Equations/415187: The sum of a number and six is fourteen. Find the number.1 solutions Answer 291156 by Alan3354(30959)   on 2011-02-28 12:53:09 (Show Source): You can put this solution on YOUR website!number + 6 = 14 Subtract 6 from both sides number = 8
 decimal-numbers/415216: how do i round 1.219 to the nearest penny?1 solutions Answer 291155 by Alan3354(30959)   on 2011-02-28 12:52:24 (Show Source): You can put this solution on YOUR website!The 9 is more than 1/2 --> \$1.22 -------- 0, 1, 2, 3 & 4 --> 0 truncate 5, 6, 7, 8 & 9 --> 1 added
 Inequalities/415224: What is the solution for this inequality? 8x < -321 solutions Answer 291153 by Alan3354(30959)   on 2011-02-28 12:51:04 (Show Source): You can put this solution on YOUR website!Divide both sides by 8
 Problems-with-consecutive-odd-even-integers/415210: The sum of two consecutive odd integers is 24. Find the integers. Let n = first integer. (The second let statement is not given. You will have to decide what it should be.)1 solutions Answer 291151 by Alan3354(30959)   on 2011-02-28 12:50:23 (Show Source): You can put this solution on YOUR website!24/2 = 12, the center --> 11 & 13
 Exponents/415204: 81=3^X How do you find X?1 solutions Answer 291150 by Alan3354(30959)   on 2011-02-28 12:49:42 (Show Source): You can put this solution on YOUR website!If you know that 81 = 3^4, then x = 4 -------- If you don't know that: log(81) = x*log(3) x = log(81)/log(3) x = 4
 Linear-equations/415238: Find the slope and y-intercept to graph the linear equation f(x)=2/5x+41 solutions Answer 291147 by Alan3354(30959)   on 2011-02-28 12:47:17 (Show Source): You can put this solution on YOUR website!The slope, m = 2/5 y-int = 4
 Geometry_Word_Problems/415211: How much does it cost to fence a circular wading pool area if the pool area has a diameter of 12 feet and fencing will cost \$7.00 per foot?1 solutions Answer 291122 by Alan3354(30959)   on 2011-02-28 11:23:31 (Show Source): You can put this solution on YOUR website!pi*12*7 in dollars ------------------- =~ \$263.89
 Miscellaneous_Word_Problems/414718: Hi I cannot under stand how to solve the Pythagorean theorem if: Leg 1- x Leg 2- 3x-1 H- 3x+1 Please help1 solutions Answer 290894 by Alan3354(30959)   on 2011-02-27 13:58:27 (Show Source): You can put this solution on YOUR website! ---------------------- x = 0, 12 Ignore the zero --------- x = 12 -------- 12^2 + 35^2 = 37^2 That works.
 test/414655: Flying into the wind, an aircraft made a 360 km trip in 2 hours. The return trip with a tail wind took 90 minutes. Find the speed of the plane and the wind.1 solutions Answer 290893 by Alan3354(30959)   on 2011-02-27 13:57:06 (Show Source): You can put this solution on YOUR website!Flying into the wind, an aircraft made a 360 km trip in 2 hours. The return trip with a tail wind took 90 minutes. Find the speed of the plane and the wind. ------------ 360/2 = 180 km/hr 360/1.5 = 240 km/hr The airspeed is the average = (180 + 240)/2 = 210 km/hr The windspeed is the difference = 240 - 210 = 30 km/hr
 test/414717: 2x +3 is greater than 51 solutions Answer 290892 by Alan3354(30959)   on 2011-02-27 13:55:02 (Show Source): You can put this solution on YOUR website!2x + 3 > 5 Subtract 3 2x > 2 Now what?
 Numbers_Word_Problems/414694: Find 2 consecutive 2-digit numbers whose product is 812.1 solutions Answer 290891 by Alan3354(30959)   on 2011-02-27 13:53:17 (Show Source): You can put this solution on YOUR website! --> 28 & 29
 Travel_Word_Problems/414604: train A is 18mph faster than train B. Train A travels 250 miles at the same time as train B travels 160 miles. I need to find the speed of each train. I dont need an answer, just an equation because i am stuck.1 solutions Answer 290804 by Alan3354(30959)   on 2011-02-27 08:01:35 (Show Source): You can put this solution on YOUR website!d = rt Train A: 250 = (r+18)t t = 250/(r+18) Train B: 160 = rt t = 160/r ----------- 250/(r+18) = 160/r
 Radicals/414465: Please help me solve this I have to solve for V: r= the square root of V over h pie1 solutions Answer 290713 by Alan3354(30959)   on 2011-02-26 19:13:39 (Show Source): You can put this solution on YOUR website!Use parentheses to eliminate ambiguitities. -------------- PS It's the Greek letter pi, not the dessert, pie.
 Linear-systems/414442: 1) write an equation of the line that is "parallel" to the given line and passes through the given point. y=2x+2,(3,2)1 solutions Answer 290689 by Alan3354(30959)   on 2011-02-26 17:54:41 (Show Source): You can put this solution on YOUR website!Why did you put quotes around parallel? ---------------------- A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 12 The slope, m = -3 ------------------ The slope of lines parallel is the same. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note, or at Moral Loophole@aol.com
 Probability-and-statistics/414443: Here is my question, could you please show your work, ie. formula 1 card is randomly selected from a shuffled deck of 52 cards, and then a die is rolled, find the probability of obtaining a black card or a one.... Your help is greatly appreciated, Sam 1 solutions Answer 290671 by Alan3354(30959)   on 2011-02-26 17:10:48 (Show Source): You can put this solution on YOUR website!Half the deck is black cards, so that's 1/2. 1 on the die is 1/6. It's or, so you add them. 1/2 + 1/6 = 2/3
 Travel_Word_Problems/414444: At noon a private plane left Austin for Los Angeles, 2100 km away, flying at 500km/hr. One hour later a jet left Los Angeles for Austin at 700km/hr. At what time will they meet?1 solutions Answer 290670 by Alan3354(30959)   on 2011-02-26 17:08:50 (Show Source): You can put this solution on YOUR website!At noon a private plane left Austin for Los Angeles, 2100 km away, flying at 500km/hr. One hour later a jet left Los Angeles for Austin at 700km/hr. At what time will they meet? ------------------------------ In 1 hour, the 1st plane is 500 km away (500 km/hr * 1 hr) The 2nd plane gains on the 1st at 200 km/hr (700 - 500) 500/200 = 2.5 hours 1300 + 2.5 hours = 1530 (3:30 PM, if you're not an aviator) --------------- PS Planes use knots, not km/hr
 Polygons/414390: Find the area of polygon ABCD if the coordinates of the vertices are A(5,-1), B(9,2), C(9,9), and D(0,5).1 solutions Answer 290657 by Alan3354(30959)   on 2011-02-26 15:22:17 (Show Source): You can put this solution on YOUR website! Find the area of polygon ABCD if the coordinates of the vertices are A(5,-1), B(9,2), C(9,9), and D(0,5). ------------------- A - B - C- D-A +5 +9 +9 +0 +5 -1 +2 +9 +5 -1 ------------------- Add diagonals from upper left 5*2 + 9*9 + 9*5 = 10 + 81 + 45 = 136 Add diagonals from lower left -1*9 + 2*9 + 9*0 + 5*5 = -9 + 18 + 25 = 34 ----------- Difference = 102 Area = 102/2 = 51 sq units --------------------- PS It works for any # of points.
 Functions/414407: For f(x) = , find f(-1)1 solutions Answer 290656 by Alan3354(30959)   on 2011-02-26 15:14:37 (Show Source): You can put this solution on YOUR website!= ?
 Geometry_Word_Problems/414297: Calculate the number of sides a regular polygon has if an interior angle is five times of an exterior angle?please show working1 solutions Answer 290640 by Alan3354(30959)   on 2011-02-26 12:22:37 (Show Source): You can put this solution on YOUR website!The interior + exterior = 180 I = 5E E + I = 180 5E + E = 180 E = 36 ========= The sum of exterior angles for ALL polygons is 360 degs 360/36 = 10 sides
 Graphs/414338: decribe the y values as the line moves from left to right across the coordinate plane:7x+3y=24 1 solutions Answer 290622 by Alan3354(30959)   on 2011-02-26 10:54:44 (Show Source): You can put this solution on YOUR website!decribe the y values as the line moves from left to right across the coordinate plane:7x+3y=24 ---------- Solve for y y = (-7/3)x + 8 ------------ As x increases, y decreases. The slope is -7/3 so for each change of 1 in x, y decreases 7/3
 Travel_Word_Problems/414335: Thanks for your help. Shouldn't the 500 meters be converted to .5km and the 1000 meters be converted to 1km. Same as converting 26400ft. to miles, to get mph. 26400ft./5280ft. = 5 miles. My calculation would be (.5km + 1km / 180km/h) x 60 mins. = .5 minutes. Which equals 30 seconds. Question 1157: Two trains, one 500 meters long and the other 1000 meters long, are traveling in opposite directions on parallel tracks. The first train is traveling at 100km/h and the other at 80km/h. How long will it take for the trains to pass each other from the moment the locomotives are at the same point? Answer by khwang(438) (Show Source): You can put this solution on YOUR website! The diagram as below. 500 m 100 km/h -> A<------>B (1st train) C<------------->D (2nd train) <- 80 km/h 1000 m When they pass each other after t hrs,diagram as A B <------> <-------------> C D After t hrs, B moves 100 t km and C moves 80 t km. So we have 100 t + 80 t = BC = CD + AB = 1000+ 500 So, 180 t = 1500, t = 25/3 hrs [Or get t by (1000+ 500)/(100+80) directly. Answer: it takes 25/3 hrs for the trains to pass each other from the moment the locomotives are at the same point. Or get t by (1000 + 500)/ (1000+ 60) directly. 1 solutions Answer 290619 by Alan3354(30959)   on 2011-02-26 10:45:06 (Show Source): You can put this solution on YOUR website!The total length is 1.5 km The relative speed is 180 km/hr = 3 km/minute 1.5/3 = 0.5 minutes -------------------- You're right, the units have to match.
 Circles/414336: 24. A circle has radius 6 cm. Find the area in terms of of a sector of the circle with a 140° central angle1 solutions Answer 290617 by Alan3354(30959)   on 2011-02-26 10:33:29 (Show Source): You can put this solution on YOUR website!Area of the whole circle = sq cm The sector's area = whole area * 140/360 = 36pi*(7/18) = 14pi sq cm =~ 43.98 sq cm
 Numeric_Fractions/414325: 2X* Y 1 solutions Answer 290612 by Alan3354(30959)   on 2011-02-26 10:15:02 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Polynomials-and-rational-expressions/414224: 5x^2-19x+121 solutions Answer 290584 by Alan3354(30959)   on 2011-02-26 08:55:38 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Graphs/414300: I am having the toughest time figuring out this problem. x/3+y/5=-1, x-3y=-3. how do i solve this equation. 1 solutions Answer 290570 by Alan3354(30959)   on 2011-02-26 07:54:33 (Show Source): You can put this solution on YOUR website! x/3+y/5=-1, x-3y=-3. how do i solve this equation. It's 2 equations. -------------- x/3+y/5=-1 eqn 1 x - 3y= -3 eqn 2 ------------------ 5x +3y = -15 eqn 1 x15 x - 3y = -3 eqn 2 -------------------- Add 6x = -18 x = -3 --------- etc
 Mixture_Word_Problems/414153: how much water must be added to 300 gallons of 85% alcohol in order to reduce it to 70% alcohol?1 solutions Answer 290481 by Alan3354(30959)   on 2011-02-25 18:51:25 (Show Source): You can put this solution on YOUR website!300 gallons of 85% alcohol has 300*0.85 = 255 gallons of alcohol ----------- For 255 gallons to be 70%, water has to be 30% Total = 255/0.7 = 2550/7 =~ 364.286 Add 364.219 - 300 = 64.286 gallons of water