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# Recent problems solved by 'vleith'

Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849, >>Next

 Age_Word_Problems/617551: IN 5 YEARS TIME, JOHN WILL BE 3 TIMES AS OLD AS HE WAS 9 YEARS AGO, HOW OLD IS HE NOW?1 solutions Answer 388401 by vleith(2825)   on 2012-06-04 05:56:28 (Show Source): You can put this solution on YOUR website!No need to shout :) Let x be his age now Nine years ago he was Five years hence, he will be You are told So check answer, is x+5 =(21) 3 times (x-9)=(7) ??
 Polynomials-and-rational-expressions/617549: Help? Simplify: 42x/18x^6 *slash sign means over by the way*1 solutions Answer 388400 by vleith(2825)   on 2012-06-04 05:52:05 (Show Source): You can put this solution on YOUR website! I added a lot of intermediate steps so you could see the math
 Linear_Equations_And_Systems_Word_Problems/617172: A woman's height, H, is related to the length of the femur length f, F, by the formuala f=0.432 h - 10.44 A partial skeleton of a woman is found in which the femur length f is 15.57 inches long. Police find the skeleton in an anrea where a woman slightly over 5 feet (60 inches) tall is missing for over a year. Can the partial skeleton be that of the missing woman? Solve for h1 solutions Answer 388179 by vleith(2825)   on 2012-06-02 16:15:00 (Show Source): You can put this solution on YOUR website! Looks like this could be that missing person
 Graphs/617162: what's the value of x/5 + 3y^2 - Z if x=30 y=2 z=-2 1 solutions Answer 388178 by vleith(2825)   on 2012-06-02 16:11:53 (Show Source): You can put this solution on YOUR website! where x = 30, y =2 and z=-2
 Rectangles/617169: The length is 3 more than 2 times the width. If I know that the length is 39 feet, what is the width? 1 solutions Answer 388176 by vleith(2825)   on 2012-06-02 16:09:40 (Show Source):
 test/616952: 6x - 2x +3 = 2x + 5 1 solutions Answer 388085 by vleith(2825)   on 2012-06-01 20:24:51 (Show Source):
 Angles/616960: 3rd request. The angle of elevation from the tip of the shadow of a 12-ft flag pole to the top of the pole is 60 degrees. How far is it from the tip of the shadow to the top of the pole? Round your answer please. 12 ft pole with a 90 dgree angle. measures 60 degrees x should be 30. Not sure if correct. Please assist me. Thank you.1 solutions Answer 388026 by vleith(2825)   on 2012-06-01 16:03:13 (Show Source): You can put this solution on YOUR website!the pole is 12 feet high. the angle of elevation at the end of the shadow to the top of the pole is 60, How far is the tip of the shadow from the top of the pole? You are looking at a 30:60:90 right triangle with the side opposite the 60 degree angle being 12 feet. Sine is opposite/hypoteneuse http://www.mathsisfun.com/sine-cosine-tangent.html Just solve that and you go it
 Travel_Word_Problems/616955: Lawanda and Betty both drive the same distance to the shore. By driving 15 miles per hour faster than Betty, Lawanda can get there in 3 hours while Betty takes 4 hours. How fast does each drive?1 solutions Answer 388025 by vleith(2825)   on 2012-06-01 15:53:56 (Show Source): You can put this solution on YOUR website! So The two distances are the same, so You are also told . So So SpeedLawanda is 45+15 = 60. Check your answer is 3*60 = 4*45??
 Miscellaneous_Word_Problems/616957: Tim is buying packages of paper plates and cups. He wants to have equal amounts of each, but plates come 24 per pack, and cups come 16 per pack. What is the least amount of plates and cups Tim will have to buy to get the same number of each? 1 solutions Answer 388024 by vleith(2825)   on 2012-06-01 15:47:51 (Show Source): You can put this solution on YOUR website!48. Which is 2 packs of plates and 3 packs of cups. So what is that math behind that? Find the prime factorization for each (24 and 16) 24 = 2*2*2*3 16 = 2*2*2*2 Now pick the factor from each that occur the most there are 3 factors of 2 in 24; and 4 factors of 2 in 16. So use 4 factors of 2 24 has one factor of 3; 16 has none.l so use one factor of 3. That is all the prime factors 24 and 16 have in them. Now multiple the largest occurrences together for this case, the answer was simple enough to see without doing all the math. But you need to know the math for the harder problems ahead.
 Inequalities/616897: what is the answer for this compound inequality -9<3x-12<151 solutions Answer 387963 by vleith(2825)   on 2012-06-01 08:42:42 (Show Source): You can put this solution on YOUR website!solve each inequality separately and then combine the result combine So x is between 1 and 9 but not equal to either 1 or 9
 Numeric_Fractions/616898: What would you do if you have a big huge fraction over a number that's not in the power of ten? Like: 458/977 I learned that you divide the bottom number (Isn't that the numerator) by the top number (I'm guessing that's the denominator). Or maybe the division proscess is opposite of what I'm doing. Thanks for your time! ;)1 solutions Answer 387962 by vleith(2825)   on 2012-06-01 08:39:46 (Show Source): You can put this solution on YOUR website!Numerator is on the top. denominator is on the bottom. Unless you are going to use division to get the number in decimal form, I would simply attempt to reduce the fraction by finding common factors and cancelling them out. here is a handy URL for that. http://www.mathwarehouse.com/arithmetic/numbers/prime-number/prime-factorization-calculator.php In this case, 977 is prime, so it cannot be reduced. You will need to resort to using long division to convert to decimal (or use a calculator). Divide the top number by the bottom one
 Permutations/614397: how many different 6 member teams can be chosen from a group of ten students to participate the next month in the math competition, ifeach student hasan equal chance of being chosen1 solutions Answer 386527 by vleith(2825)   on 2012-05-24 07:03:08 (Show Source): You can put this solution on YOUR website!You need to find the various combinations that don't allow repetition. That means, the order of the people in the group doesn't matter. Look at this URL http://www.mathsisfun.com/combinatorics/combinations-permutations.html Scroll to the bottom and see the equation is given by n!/(r!(n-r)!) n is 10, r is 6. so plug in and solve 10! / (6! * 4!)
 Word_Problems_With_Coins/614389: Tina tossed a 20 cent coin ten times and recorded ten heads Is this possible?1 solutions Answer 386526 by vleith(2825)   on 2012-05-24 06:53:46 (Show Source): You can put this solution on YOUR website!Depends on where you live. But if where you live actually has a 20 cent coin that has a head on one side of it, then sure. If you live in the USA, there is no such thing as a 20 cent coin -- so it can't happen.
 percentage/614134: What % of 560 is 2241 solutions Answer 386401 by vleith(2825)   on 2012-05-23 13:50:17 (Show Source): You can put this solution on YOUR website! is percent %
 percentage/614135: 10% of what is 321 solutions Answer 386400 by vleith(2825)   on 2012-05-23 13:46:53 (Show Source):
 Angles/614132: Two parallel lines are cut by a transversal. Two same-side interior angles have measures of 2x + 5 and 3x. What are the measures of the two angles? 1 solutions Answer 386399 by vleith(2825)   on 2012-05-23 13:46:09 (Show Source): You can put this solution on YOUR website!same side interior angles total 180 3x = 105 2x+5 = 75
 Polynomials-and-rational-expressions/613636: Simplify (m−5)10 Do not use negative exponents in the answer. 1 solutions Answer 386103 by vleith(2825)   on 2012-05-22 09:58:34 (Show Source):
 Volume/613640: Could someone please explain to me? Please walk me through it. The "cubed" part confusses me! Paul and his wife have made a watering trough for their four horses. What will be the volume of the trough (ignoring the thickness of the walls) if: The length is 3.4 feet, the width is 2.3 feet and it is 1.8 feet high? A. 1407.6 feet cubed B. 140.76 feet cubed C. 14.076 feet cubed D. 7.5 feet cubed1 solutions Answer 386102 by vleith(2825)   on 2012-05-22 09:57:03 (Show Source): You can put this solution on YOUR website!The volume of water the trough can hold is given by the volume of the 'box' formed by the sides of the trough. That is Also note that any volume has 'units' associated with it. The term is pronounced as 'feet cubed' ... also known as cubic feet
 Miscellaneous_Word_Problems/613583: If y varies directly as x, what is the value of y in these ordered pairs? (3, 12) and (24, y)1 solutions Answer 386090 by vleith(2825)   on 2012-05-22 06:31:07 (Show Source): You can put this solution on YOUR website!You are told y varies directly with x. So you can write the equation as whre A is a constant. You are then given two points. Use the first point to solve for A. Then use the information in the second point to solve for y. As follows plug int he coordinates from the first point and solve for A plug A into the base equation to get now plug in the second value for x and solve for y
 Exponents-negative-and-fractional/613591: Simplify 8/a^-3 I got 8/1/a^3 Is this right?1 solutions Answer 386089 by vleith(2825)   on 2012-05-22 06:26:16 (Show Source): You can put this solution on YOUR website! get the result to one with only positive exponents. So 'move the a^-3 up to the numerator
 Probability-and-statistics/613590: Robert like to play blackjack.When two cards are dealt he has a value of 14.If robert continues to a third card what is the probability that he will not exceed a value of 21?1 solutions Answer 386088 by vleith(2825)   on 2012-05-22 06:24:31 (Show Source): You can put this solution on YOUR website!This is a very difficult question to answer. It would be simple to say "Robert needs to draw a 7 or less. An ace will be counted as a 1. There are 13 cards in a suit so 7/13 of them will suffice". But that is too simple. Robert has already been dealt enough cards to total 14. What you are not told is what cards are already played (both to Robert and to whatever other payers are in the game -- including the dealer) and how many cards are left to draw from. Without those two pieces of information, you can't give a definitive answer. And that is why card counting is so difficult. Let's assume the simple answer and say 7/13's. That will be pretty close.
 Equations/612724: what is the answer to this problem: 7 - 6u=5u +29 1 solutions Answer 385693 by vleith(2825)   on 2012-05-19 17:44:30 (Show Source): You can put this solution on YOUR website! subtract 29 from both sides. Add 6u to both sides simplify divide both sides by 11 to find u
 Polynomials-and-rational-expressions/612391: I need help on this please!! Completely factor the following expression: 36y^2 – z ^2 Any help would be greatly helpful!!1 solutions Answer 385423 by vleith(2825)   on 2012-05-18 08:44:11 (Show Source): You can put this solution on YOUR website!Factoring the difference of 2 squares is something you will need to be able to do. Those type of problems come up a lot In general is a difference of 2 squares. Where one term is 6y and the other is z there you go Often you will be given term that are higher order, for example And you can see that first term is still a difference of 2 squares so it can be factored again. So keep your eye open for that
 logarithm/612384: given log b 2= 0.3562, log b 3=0.5646, log b 5=0.8271 and log b 11=1.2323 evaluate: log b 21 log b 161 log b 23101 solutions Answer 385420 by vleith(2825)   on 2012-05-18 08:37:41 (Show Source): You can put this solution on YOUR website!You need to understand one of the properties of logs in order to do this See this URL --> http://www.purplemath.com/modules/logrules.htm Property 1 says logb(mn) = logb(m) + logb(n) For your problem 1, you are asked for log b 21 That can be written as log b (2*11) Which is log b 2 + log b 11 You are given the values for both terms, so just add them up. Same idea for the other two problem 161 = 2 * 3 * 11 So use add those to get the result 2310 = 5 * 3 * 2 * 11 * 7 Since you are not given the log b 7, you can't solve this one with the info provided
 Circles/612321: I'm confused on find the circumference of each circle use 3.14 for the value of n. round your answer to the nearest tenth. then it has radius = 11 in1 solutions Answer 385416 by vleith(2825)   on 2012-05-18 08:28:58 (Show Source): You can put this solution on YOUR website!Circumference of a circle is given by where r is the radius. You are told you can use 3.14 for pi and that the radius is 11 inches So So plug in 11, solve for C. And then round to the nearest 10. 138.2 inches
 Pythagorean-theorem/612386: A right triangle has a hypotenuse of length 25 and a leg of length 20. What is the length of the right leg? If necessary, round your answer to two decimal places.1 solutions Answer 385414 by vleith(2825)   on 2012-05-18 08:23:32 (Show Source): You can put this solution on YOUR website!Use the Pythagorean theorem You will notice that the sides are in a ratio of 15:20:25 Which is 3:4:5 Any triangle in ratio 3:4:5 is a right triangle. That comes up a lot, so you might want to memorize that.
 Polygons/612390: The diagram shows 3 sides of a regular polygon. Each interior angle of the regular polygon is 140 degrees, work out the number of sides of the regular polygon. 1 solutions Answer 385413 by vleith(2825)   on 2012-05-18 08:19:55 (Show Source): You can put this solution on YOUR website!Look at this URL http://www.mathsisfun.com/geometry/interior-angles-polygons.html Read it and see how one can build on what you know about triangles and extend that into the general rule. In your specific case, So simplify and solve for n
 Numbers_Word_Problems/612085: Two times a number added to seven equals 10. What is the number? Create an equation, then solve for the missing variable.1 solutions Answer 385280 by vleith(2825)   on 2012-05-17 15:19:34 (Show Source): You can put this solution on YOUR website!let the number be represented by x isolate the variable term by subtracting 7 from both sides isolate the variable by dividing both sides by 2 the answer is 3/2 or 1.5
 test/612086: Hi! I need help with 5 algebra 1 math problems..i don't understand them at all.:( could u please email me back ASAP. I need to know the answers to the 5 problems but also how to do them!!!1 solutions Answer 385279 by vleith(2825)   on 2012-05-17 15:17:28 (Show Source): You can put this solution on YOUR website!post the problems here and if you want to get good help, do as much of them as you can and show your work.
 Rational-functions/612074: Can you give me step by step how to solve.. List all of the possible rational zeros of 2x^4-5x^3+3x^2-12x-6 ALGEBRA 2 Problem.1 solutions Answer 385277 by vleith(2825)   on 2012-05-17 15:16:28 (Show Source): You can put this solution on YOUR website!The rational zeros theorem (also called the rational root theorem) is used to check whether a polynomial has rational roots (zeros). It provides a list of all possible rational roots of the polynomial equation , where all coefficients are integers. If the equation has rational roots p/q, where p and q are integers, then p must divide evenly into the constant term a0 and q must divide evenly into the leading coefficient an. In other words, p is a factor of ±a0 and q is a factor of ±an. http://www.chegg.com/homework-help/definitions/rational-zeros-theorem-27 get all the factors in the high order coefficient. Then get all the factors in the constant term 2 -- -2,-1,1,2 -6 -- -6,-3,-2,-1,1,2,3,6 now make every combination of the ratio of factors of -6 to factors of 2 -6/-2, -6/-1, -6/1, -6/2, -3/-2, .... 6/-2, 6/-1, 6/1, 6/2 now eliminate all the duplicates, and you are done. Note this does not mean all these numbers ARE roots, it merely says that if there are roots, then these are the only possible ones.
 Distributive-associative-commutative-properties/612076: Factor 3r^2 + 16r +5=1 solutions Answer 385275 by vleith(2825)   on 2012-05-17 15:06:06 (Show Source):