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# Recent problems solved by 'Alan3354'

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 test/473396: 42 miles per hour cover 17 miles in how many seconds?1 solutions Answer 324660 by Alan3354(30983)   on 2011-07-23 14:54:40 (Show Source):
 Mixture_Word_Problems/473346: ferdie's car uses 15 liters of gasoline to travel 200 km.at that rate,how much gasoline will his car use to travel 300 km ?1 solutions Answer 324626 by Alan3354(30983)   on 2011-07-23 11:13:57 (Show Source): You can put this solution on YOUR website!It's 1.5 times as far. 15 * 1.5 = 22.5 liters
 Circles/473373: Find the equation of circle having centre at origin and passing through point (a,b).1 solutions Answer 324620 by Alan3354(30983)   on 2011-07-23 10:59:44 (Show Source): You can put this solution on YOUR website!Distance from the Origin to (a,b) is the radius -->
 Quadratic_Equations/473213: What is the probability of receiving a 6 or a 9 from a deck of 52 cards and an ace or a king? suppose to be a percent answer 1 solutions Answer 324618 by Alan3354(30983)   on 2011-07-23 10:58:13 (Show Source): You can put this solution on YOUR website!What is the probability of receiving a 6 or a 9 from a deck of 52 cards and an ace or a king? suppose to be a percent answer ------------------- A 6 or a 9 --> 8/52 = 2/13 An ace or a king is the same = 2/13 ------------- For both, it's the product = 4/169 =~ 2.37%
 Travel_Word_Problems/473361: If driving at 51 MpH, one covers 18 miles in how many seconds? 1 solutions Answer 324616 by Alan3354(30983)   on 2011-07-23 10:51:51 (Show Source):
 Travel_Word_Problems/473371: driving at 37 mph, one covers 18 miles in how many seconds 1 solutions Answer 324615 by Alan3354(30983)   on 2011-07-23 10:51:31 (Show Source):
 Sequences-and-series/473145: 2. * * * * * * * * * * * * * * * * * * * ? * * * * * * * * * * * 1 solutions Answer 324511 by Alan3354(30983)   on 2011-07-22 18:23:12 (Show Source): You can put this solution on YOUR website!Do you have a question?
Linear-equations/473190: The equation h=-16t^-64t+250 (i used the symbol ^ to represent t squared) gives the height of a ball, thrown
downward from the top of a 250-ft building with an initial velocity of 64 ft/s.
Find the time it takes for the ball to reach a height of 100 ft. Round your answer
to the nearest thousandth.

1 solutions

Answer 324510 by Alan3354(30983)   on 2011-07-22 18:22:16 (Show Source):
You can put this solution on YOUR website!
The equation h=-16t^-64t+250 (i used the symbol ^ to represent t squared) gives the height of a ball, thrown
downward from the top of a 250-ft building with an initial velocity of 64 ft/s.
Find the time it takes for the ball to reach a height of 100 ft. Round your answer
to the nearest thousandth.
-----------
Use ^2 for squared, ^3 for cubed, etc.
--------------------
h(t) = -16t^2-64t+250 = 100
8t^2 + 32t - 75 = 0
 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=3424 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 1.65718470958195, -5.65718470958195. Here's your graph:

----------------
t = 1.657 seconds

 Triangles/473199: Find the perimeter of a triangular region with side lengths 13 ft, 15 ft, and 11 ft.1 solutions Answer 324509 by Alan3354(30983)   on 2011-07-22 18:18:05 (Show Source): You can put this solution on YOUR website!Hint: Add those numbers.
 Triangles/473200: Find Y as a correct nearest integer. 7 is one side and 40 degrees is the angle.1 solutions Answer 324508 by Alan3354(30983)   on 2011-07-22 18:16:47 (Show Source): You can put this solution on YOUR website!Not enough info.
 Percentage-and-ratio-word-problems/473211: solve by the elimination method: 2r-3s= -14 3r+2s=181 solutions Answer 324504 by Alan3354(30983)   on 2011-07-22 18:00:16 (Show Source): You can put this solution on YOUR website!solve by the elimination method: 2r-3s= -14 3r+2s = 18 ----------------- Multiply the 1st eqn by 2 and the 2nd eqn by 3, then add them. 4r-6s = -28 9r+6s = 54 -------------- Add
 Percentage-and-ratio-word-problems/473210: find the slope, if it exists, of the line containing the pair of points: (5,4) and (9,-10) =1 solutions Answer 324501 by Alan3354(30983)   on 2011-07-22 17:56:06 (Show Source): You can put this solution on YOUR website!find the slope, if it exists, of the line containing the pair of points: (5,4) and (9,-10) = --------------------------------- slope m = diffy/diffx ----------- (5,+4) (9,-10) -------- Subtract -4,14 Difference in y = 14 Difference in x = -4 m = 14/-4 = -7/2 = -3.5
 logarithm/473207: how do you calculate 2 ln(8)+log(16)/log(100)-ln(10) on a calculator?1 solutions Answer 324500 by Alan3354(30983)   on 2011-07-22 17:53:05 (Show Source): You can put this solution on YOUR website!how do you calculate 2 ln(8)+log(16)/log(100)-ln(10) on a calculator? ------------- There are differences in the keys for different calculators, so there's no single answer. -------------- log(100) = 2, btw You need to add parentheses to clarify what's in the numerator and the denominator, regardless of what type of calculator you use.
 Graphs/473179: Two persons are to run a race, but one can run 10 meters per second, whereas the other can run 6 meters per second. If the slower runner has a 70-meter head start, how long will it be before the faster runner catches the slower runner, if they begin at the same time?1 solutions Answer 324492 by Alan3354(30983)   on 2011-07-22 17:23:21 (Show Source): You can put this solution on YOUR website!The faster gains on the slower runner at 4 m/sec (10 - 6) (Or, the speed of the faster runner relative to the slower is 4 m/sec) 70 m/4 m/sec = 17.5 seconds
 Travel_Word_Problems/473203: Driving at 52 MpH, one covers 18 miles in how many seconds?1 solutions Answer 324491 by Alan3354(30983)   on 2011-07-22 17:20:19 (Show Source):
 test/473170: How do you know when to add1 solutions Answer 324488 by Alan3354(30983)   on 2011-07-22 16:53:06 (Show Source): You can put this solution on YOUR website!I just know.
 Triangles/473183: In a certain triangle, one of the angles has a measure of 94°. If the triangle is isosceles, then which of the following could be the measures of the two other angles?1 solutions Answer 324471 by Alan3354(30983)   on 2011-07-22 16:20:45 (Show Source): You can put this solution on YOUR website!Nothing follows, but it's 43 degrees.
 Finite-and-infinite-sets/473182: what is trainagle 1 solutions Answer 324469 by Alan3354(30983)   on 2011-07-22 16:20:00 (Show Source): You can put this solution on YOUR website!A triangle is a closed plane figure (flat) with 3 sides that are straight lines.
 Rectangles/473043: A rectangle has 70m length and 50m wide.if the area of the rectangle is 1024,what will be its width?1 solutions Answer 324446 by Alan3354(30983)   on 2011-07-22 15:23:41 (Show Source): You can put this solution on YOUR website!A rectangle has 70m length and 50m wide.if the area of the rectangle is 1024,what will be its width? -------------- If it's 70 by 50 the area is 70*50 = 3500 sq meters. The area is not 1024, so there's no if.
 Permutations/473157: There are eight members in a club. In how many different ways can a president, vice president, and treasurer be chosen? 1 solutions Answer 324443 by Alan3354(30983)   on 2011-07-22 15:20:01 (Show Source): You can put this solution on YOUR website!8*7*6 = 336 ways
 Radicals/473158: How do I solve for x in the equation: 1 solutions Answer 324442 by Alan3354(30983)   on 2011-07-22 15:18:58 (Show Source): You can put this solution on YOUR website! Square x = 1, 1 --------------
 Rational-functions/473155: I just dont get it 9m +n=62 and m-5n=12 what is the solution of the system?1 solutions Answer 324440 by Alan3354(30983)   on 2011-07-22 15:13:31 (Show Source): You can put this solution on YOUR website!9m +n=62 and m-5n=12 what is the solution of the system? ----------------- m-5n=12 --> m = 5n + 12 Sub for m in the 1st eqn 9m +n=62 9(5n+12) + n = 62 45n+108 + n = 62 46n = - 46 n = -1 ------- m = 5n + 12 m = 7 That's one way to do it.
 Inequalities/473150: solve by graphing x-y=6 x+y=81 solutions Answer 324426 by Alan3354(30983)   on 2011-07-22 14:22:27 (Show Source): You can put this solution on YOUR website!dl the FREE graph software at http://www.padowan.dk ------- Use F6 to enter the equations.
 Human-and-algebraic-language/473111: Three consecutive odd integers are such that the square of the third integer is 15 more than the sum of the squares of the first two. Find the integers.1 solutions Answer 324403 by Alan3354(30983)   on 2011-07-22 12:23:19 (Show Source): You can put this solution on YOUR website!Three consecutive odd integers are such that the square of the third integer is 15 more than the sum of the squares of the first two. Find the integers. ------------------- The numbers are x, x+2 and x+4 (x - 1)*(x - 3) = 0 x = 1 --> 1, 3 & 5 x = 3 --> 3, 5 & 7 -------------------
 Trigonometry-basics/473051: in triangle abc a=47, b= 8, what is c? in triangle fgh angle f=32 angle g=100 what is angle h?1 solutions Answer 324402 by Alan3354(30983)   on 2011-07-22 11:46:00 (Show Source): You can put this solution on YOUR website!in triangle abc a=47, b= 8, what is c? Not enough data. -------------------- in triangle fgh angle f=32 angle g=100 what is angle h? The sum of the 3 angles is 180. h = 180 - (100 + 32) h = 48 degs
 Quadratic-relations-and-conic-sections/473052: find the equation of circle passing thriugh the focus of the parabola and foci of the ellipse 1 solutions Answer 324401 by Alan3354(30983)   on 2011-07-22 11:43:03 (Show Source): You can put this solution on YOUR website!What parabola and ellipse?
 Triangles/473069: a right triangle has area 42 ,, how to find base and height1 solutions Answer 324396 by Alan3354(30983)   on 2011-07-22 10:20:22 (Show Source): You can put this solution on YOUR website!Area = bh/2 = 42 base * ht = 84 ----------------
 Travel_Word_Problems/473101: How many seconds does it take to drive 18 miles at a speed of 53 mph?1 solutions Answer 324394 by Alan3354(30983)   on 2011-07-22 10:13:59 (Show Source):
 Travel_Word_Problems/473099: Driving at 44 miles per hour, one covers 17 miles in how long?1 solutions Answer 324393 by Alan3354(30983)   on 2011-07-22 10:09:10 (Show Source):
 Points-lines-and-rays/472963: Which equation of the line has a y-intercept of 6 and parallel to y= -1/2x + 2?1 solutions Answer 324309 by Alan3354(30983)   on 2011-07-21 21:39:17 (Show Source): You can put this solution on YOUR website!y = (-1/2)x + 6