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# Recent problems solved by 'Alan3354'

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 Travel_Word_Problems/275681: Wind is coming in at 80 km/h from the east and a plane is capable of travelling 200 km/h. What is the relative velocity to the ground if the plane is travelling North?1 solutions Answer 201337 by Alan3354(30993)   on 2010-03-02 16:52:39 (Show Source): You can put this solution on YOUR website!Wind is coming in at 80 km/h from the east and a plane is capable of travelling 200 km/h. What is the relative velocity to the ground if the plane is travelling North? -------------------- I'll assume the plane is heading north. If its ground track is north, it's a different problem. ---------------------- The groundspeed is the hypotenuse r = sqrt(200^2 + 80^2) = sqrt(46400) r =~ 215.4 km/hr
 Travel_Word_Problems/276233: An automobile travels 210 6/10 milesand uses 16 2/10 gallons of gas. what is the mileage in miles/gallon?1 solutions Answer 201336 by Alan3354(30993)   on 2010-03-02 16:49:10 (Show Source): You can put this solution on YOUR website!2 numbers, 210.6 and 16.2 What's your guess?
 Travel_Word_Problems/276229: A car travels 240 miles in 5 1/2 hours. How many miles/hour does the car travel?1 solutions Answer 201335 by Alan3354(30993)   on 2010-03-02 16:48:21 (Show Source): You can put this solution on YOUR website!2 numbers to work with. 240 and 5.5 Give it a try.
 Linear-equations/276213: y=0.15x+0.791 solutions Answer 201334 by Alan3354(30993)   on 2010-03-02 16:40:38 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Travel_Word_Problems/276223: A car travels at an average speed of 68 miles per hour. How long does it take to travel 238 miles?1 solutions Answer 201332 by Alan3354(30993)   on 2010-03-02 16:40:00 (Show Source): You can put this solution on YOUR website!You have only 2 numbers to work with. Give it a try.
 logarithm/276226: how many digits are in base 161 solutions Answer 201331 by Alan3354(30993)   on 2010-03-02 16:39:12 (Show Source): You can put this solution on YOUR website!how many digits are in base 16 -------------- It depends on the number. 1 is 1 digit. 11 is 2 digits, etc If you meant symbols, there are 16. 0 to 9, A, B, C ,D, E, F
 Equations/276224: how to convert 702 base 8 into base two1 solutions Answer 201330 by Alan3354(30993)   on 2010-03-02 16:37:39 (Show Source): You can put this solution on YOUR website!how to convert 702 base 8 into base two ----------- Write each "digit" in binary 111 000 010 That's it.
 Polynomials-and-rational-expressions/276209: Find the Solution for f(x) <01 solutions Answer 201328 by Alan3354(30993)   on 2010-03-02 16:34:03 (Show Source): You can put this solution on YOUR website!That is the solution. If you graph it, it's the area "to the left" of the y-axis, not including the axis.
 Exponential-and-logarithmic-functions/276220: a(t)=82-12 log(6+1) After how many months will the average score be 60? t= time in months1 solutions Answer 201326 by Alan3354(30993)   on 2010-03-02 16:29:31 (Show Source): You can put this solution on YOUR website!There's no variable in the function a(t) = 82 - 12log(7) a(t) =~ 71.8588
 Rectangles/276219: If a square has a perimeter of 100, what is the length of one side?1 solutions Answer 201324 by Alan3354(30993)   on 2010-03-02 16:23:20 (Show Source): You can put this solution on YOUR website!A square has 4 equal sides. Give it a try.
 Square-cubic-other-roots/276210: For this problem we need to rationalize the denominator. I get so far and I get stuck. Any help explaining the steps would be appreciated √(16a^4 b^6 )/√(128a^6 b^6 )1 solutions Answer 201323 by Alan3354(30993)   on 2010-03-02 16:22:09 (Show Source): You can put this solution on YOUR website! = = =
 Angles/276214: An angle measures 38 degrees less than its complement. Find the measures of the two angles. Would it be 38 degrees and 52 degrees?1 solutions Answer 201322 by Alan3354(30993)   on 2010-03-02 16:17:04 (Show Source): You can put this solution on YOUR website!An angle measures 38 degrees less than its complement. Find the measures of the two angles. Would it be 38 degrees and 52 degrees? ---------------------- Can't be that, 38 is not 38 less than 52. ----------------- A + (A-38) = 90 2A - 38 = 90 2A = 128 A = 64 The complement is 26
 Graphs/276195: 1 solutions Answer 201311 by Alan3354(30993)   on 2010-03-02 15:30:44 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Graphs/276193: y=x-3 ? What is it ? 1 solutions Answer 201310 by Alan3354(30993)   on 2010-03-02 15:24:18 (Show Source): You can put this solution on YOUR website!It's an equation in x and y.
 Circles/276134: Find the radius of the circle (picture included). 1 solutions Answer 201307 by Alan3354(30993)   on 2010-03-02 14:18:02 (Show Source): You can put this solution on YOUR website!s = r*theta 5pi = r*(5pi/4) r = 4
 Rational-functions/276106: i am supposed to show by counterexample that (x+y)^-2 and x^-2+y^-2 are not equivalent. i dont understand how to show this. please help1 solutions Answer 201284 by Alan3354(30993)   on 2010-03-02 12:14:55 (Show Source): You can put this solution on YOUR website!i am supposed to show by counterexample that (x+y)^-2 and x^-2+y^-2 are not equivalent. i dont understand how to show this. please help -------------------- Pick numbers for x and y see if it's true. x = y = 1 is the easiest (1+1)^-2 = 1/4 1^-2 + 1^-2 = 2 They're not equal, so it's disproven.
 Problems-with-consecutive-odd-even-integers/276006: The sum of the first 50 positive integers is 1 275. What is the sum of the integers from 51 to 100. a)2550 b) 3250 c) 3775 d) 5050 1 solutions Answer 201235 by Alan3354(30993)   on 2010-03-02 08:53:34 (Show Source): You can put this solution on YOUR website!The sum of the first 50 positive integers is 1 275. What is the sum of the integers from 51 to 100. a)2550 b) 3250 c) 3775 d) 5050 -------------------- Each number of the 2nd group is 50 more than the corresponding number of the 1st group: 1 - 51 3 - 53, etc There are 50 of them. 50*50 = 2500 add 2500 to 1275 = 3775
 Travel_Word_Problems/276003: jasmine travels for 4 hours at an average speed of 100km/h what distance does she travel?1 solutions Answer 201234 by Alan3354(30993)   on 2010-03-02 08:50:01 (Show Source): You can put this solution on YOUR website!You have only 2 numbers to work with. Give it a try. email me to check your work
 Pythagorean-theorem/275942: A=? B=32 C=391 solutions Answer 201197 by Alan3354(30993)   on 2010-03-01 22:24:27 (Show Source): You can put this solution on YOUR website!Not enough info.
 Geometry_Word_Problems/275869: 2 parallel lines are located 4 inches apart. An equilateral triangle with 5 inch sides is drawn in the same plane. What is the maximum number of intersections possible between the 2 parallel lines and the triangle.1 solutions Answer 201164 by Alan3354(30993)   on 2010-03-01 20:22:56 (Show Source): You can put this solution on YOUR website!2 parallel lines are located 4 inches apart. An equilateral triangle with 5 inch sides is drawn in the same plane. What is the maximum number of intersections possible between the 2 parallel lines and the triangle. ------------------------- 4
 Linear-equations/275895: Find the slop and y-intercept for each line. y = -x + 5 3x + 5y + 10 = 01 solutions Answer 201163 by Alan3354(30993)   on 2010-03-01 20:20:41 (Show Source): You can put this solution on YOUR website!Find the slop and y-intercept for each line. y = -x + 5 slope = -1 Y-int = 5 --------------- 3x + 5y + 10 = 0 slope = -3/5 y-int = -2
 Polygons/275868: What type of regular polygon does 30 degrees exterior angles make ?1 solutions Answer 201157 by Alan3354(30993)   on 2010-03-01 19:55:52 (Show Source): You can put this solution on YOUR website!The sum of exterior angles is always 360 degrees, for all polygons. 360/30 = 12 sides --> dodecagon, I think.
 Probability-and-statistics/274781: a bag contains 6 green,5 yellow and 7 white balls are drawn at random from the box.find the probability that among the balls drawn there is one ball of each colour1 solutions Answer 201083 by Alan3354(30993)   on 2010-03-01 17:07:25 (Show Source): You can put this solution on YOUR website!a bag contains 6 green,5 yellow and 7 white balls are drawn at random from the box.find the probability that among the balls drawn there is one ball of each colour ----------------- How many balls are drawn? Are the balls replaced before the next draw? ------------------- If it's 3, without replacement, then: the chance of green is 6/18 the chance of yellow is 5/17, and the chance of white is 7/16 --> (1/3)*(5/17)*(7/16) = 35/816 -------------------- Other results are possible with different constraints.
 Problems-with-consecutive-odd-even-integers/275747: The product of two consecutive odd numbers is 143. What are the two numbers?1 solutions Answer 201081 by Alan3354(30993)   on 2010-03-01 17:01:33 (Show Source): You can put this solution on YOUR website!sqrt(143) = almost 12, which is between the 2 numbers. --> 11 & 13
 Polygons/275751: The exterior angle measure of a regular polygon is 20 degrees. How many sides does the polygon have? 1 solutions Answer 201080 by Alan3354(30993)   on 2010-03-01 16:59:55 (Show Source): You can put this solution on YOUR website!The sum of exterior angles for ALL polygons is 360 degrees. 360/20 = 18 sides.
 Graphs/275719: How do you change standard form to slope-intercept, and vice versa? I need someone to explain on an 8th grade level please! HELP!!!1 solutions Answer 201079 by Alan3354(30993)   on 2010-03-01 16:55:04 (Show Source): You can put this solution on YOUR website!The "standard form" uses integers, and the x's and y's are on the same side. For the slope-intercept form, solve for y.
 Graphs/275705: how do i slove -4<3p+5=20 ?1 solutions Answer 201078 by Alan3354(30993)   on 2010-03-01 16:50:48 (Show Source): You can put this solution on YOUR website!how do i slove -4<3p+5=20 ? If 3p+5 = 20, then 3p = 15 p = 5 ------ The "<" part is superfluous.
 Quadratic-relations-and-conic-sections/275673: About a hyperbola. When you havean an equation like x^2/49-y^2/169=1... How do I make it so it's not huge on the paper? For example.. I am making a picture with different equations. I am making a cross in particular.1 solutions Answer 201035 by Alan3354(30993)   on 2010-03-01 14:56:42 (Show Source): You can put this solution on YOUR website!About a hyperbola. When you havean an equation like x^2/49-y^2/169=1... How do I make it so it's not huge on the paper? For example.. I am making a picture with different equations. I am making a cross in particular. -------------------- If the paper is graduated in units, make each one 10, or 5, or some other factor. ----------- dl the FREE graph software from http://www.padowan.dk.com and it will do it for you
 Graphs/275669: How do graph x = 0 in retangular coordinate systems1 solutions Answer 201025 by Alan3354(30993)   on 2010-03-01 14:19:56 (Show Source): You can put this solution on YOUR website!x = 0 is the y-axis
 Linear-equations/275601: Please help me solve this equation: with a slope of -2/5 and Y intercept 9. write the equation in the form of Ax+By=C.1 solutions Answer 201022 by Alan3354(30993)   on 2010-03-01 13:51:07 (Show Source): You can put this solution on YOUR website! Please help me solve this equation: with a slope of -2/5 and Y intercept 9. write the equation in the form of Ax+By=C. -------------- To be picky, you don't have an equation to solve. You want to find an equation that fits the specs. ----------------- slope and y-intercept are given, so y = (-2/5)x + 9 5y = -2x + 45 2x + 5y = 45 is the equation in standard form.