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# Recent problems solved by 'Mathtut'

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 Travel_Word_Problems/169352: avoiding a collision: a car is traveling on a road that is perpendicular to a railroad track. when the car is 30 meters from the crossing, the car's new collison detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. how far is the train from the crossing?1 solutions Answer 124861 by Mathtut(3670)   on 2008-11-24 13:40:21 (Show Source): You can put this solution on YOUR website!this is a right triangle problem so pathorean theorem states c is the hypothenuse and is the distance the car is to the train (50 meters) : we will call one of the legs, lets say a, the distance the car is from the crossing (30 meters). So we are looking for b the distance the train is from the crossing : : b^2=1600 : the distance the train is from the crossing
 Distributive-associative-commutative-properties/169359: If (2x+a)(x-b)=2x^2+x-3, what are a and b? Note there are 2 solutions.1 solutions Answer 124858 by Mathtut(3670)   on 2008-11-24 13:17:56 (Show Source): You can put this solution on YOUR website!factor the right side (2x+a)(x-b)=(2x-3)(x+2) or .....................=(2x-2)(x+3/2) so a and b are -3 and -2 ...a and b are -2 and -3/2
 Distributive-associative-commutative-properties/169361: If -2(x+3)^2=(x+3)(ax+b), what are a and b?1 solutions Answer 124857 by Mathtut(3670)   on 2008-11-24 13:07:21 (Show Source): You can put this solution on YOUR website! divide both sides by x+3 : x=ax+b : in this format you can see that and
 Distributive-associative-commutative-properties/169362: 100 yd^2 equals how many m^2, given that 0.3048m=1ft?1 solutions Answer 124856 by Mathtut(3670)   on 2008-11-24 13:02:42 (Show Source): You can put this solution on YOUR website!1 square yard = 9 sq ft so 100(9)=900 sq ft : .3048m=1ft so .0929m^2=1sq ft : equals yd^2
 Human-and-algebraic-language/169293: This question is from textbook Tony has 600 feet of fencing to use in making a yard for her new puppy. The yard she has planned has a length that is 75 feet less than twice the width. What are the dimensions of the yard?1 solutions Answer 124853 by Mathtut(3670)   on 2008-11-24 11:27:17 (Show Source): You can put this solution on YOUR website!P=2L+2w: L=2w-75: P=600 plug in P's and L's values into perimeter equation 600=2(2w-75)+2w 600=4w-150+2w : 6w=750 : width length
 Polynomials-and-rational-expressions/169315: This question is from textbook Introductory Algebra Find the LCM 20, 36, 451 solutions Answer 124850 by Mathtut(3670)   on 2008-11-24 11:19:52 (Show Source): You can put this solution on YOUR website!factor each number into primes 20=2*2*5 36=2*2*3*3 45=3*3*5 now take the largest amount of each prime that occurs in this case 2*2 is the largest occurence of 2 , 3*3 is the largest occurence of 3 and a single 5 is the largest occurence of 5 now multiply all those together to get lcm
 Miscellaneous_Word_Problems/169306: A company is trying to determine which computer system to install. System A: consists of a central minicomputer costing \$100,000 plus desktop terminals costing \$800 each. System B: is a network of desktop personal computers that costs \$16,000 to install plus \$1,200 for each desktop personal computer. How many desktop setups would the company need in order to make the costs of the two systems equal? trying to solve I ask: how many people are getting a computer? Number of people = x how do I write out each problem ? 100,000 + 800(x) I am stumped, then 16,000 + 1,200 (x) ? Your help would be greatly appreciated. I am unable to find a sample in my book . Thank You 1 solutions Answer 124849 by Mathtut(3670)   on 2008-11-24 11:13:02 (Show Source): You can put this solution on YOUR website!your on the right track: : let A = the number of desktops : these two must equal each other in terms of costs so set the two equation = to one another. : 100000+800A=16000+1200A : 400A=84000 : which is the number of desktops it would take to make these two systems equal
 Coordinate-system/169348: How do you fill in a chart with the following linear equation. 2x+y=42 x= -2, -1 0, 1, 2 1 solutions Answer 124848 by Mathtut(3670)   on 2008-11-24 11:07:30 (Show Source): You can put this solution on YOUR website!http://www.purplemath.com/modules/graphlin.htm this will give you some help!!
 Polynomials-and-rational-expressions/169316: This question is from textbook Introductory Algebra Add. Simplify, if possible 2/r + 6/r-91 solutions Answer 124847 by Mathtut(3670)   on 2008-11-24 11:06:32 (Show Source): You can put this solution on YOUR website! multiply each term by r :
 Polynomials-and-rational-expressions/169322: This question is from textbook Introductory Algebra Find the ratio. Simplify, if possible. Mara can type 1440 words in two thirds hour (40 minutes). How many words per minute can she type?1 solutions Answer 124846 by Mathtut(3670)   on 2008-11-24 10:56:11 (Show Source): You can put this solution on YOUR website!1440(words)/40(minutes)=36 (words)/per(minute)
 Age_Word_Problems/169335: A man passed one-sixth of his life in childhood, one twelfth in youth and one seventh in childless marriage. After 5 years of marriage, the man had a child. Alas! Late - born wretched child; after attaining half her father's life, cruel fate overtook her, leaving the man to spend his last 4 years solving math problems. What was the man's final age? Please give me the representation of that.... thank you very very much for those who answer my question.1 solutions Answer 124845 by Mathtut(3670)   on 2008-11-24 10:53:10 (Show Source): You can put this solution on YOUR website!lets call age of this man A so (1/6)A+(1/12)A+(1/7)A+5+(1/2)A+4=A------->multiply by lcd 84 : 14A+7A+12A+420+42A+336=84A : 9A=756 : mans final age-->he didnt start solving math problems til he was 80...lol
 Radicals/169343: Which two expressions are equivalent? √-49,-7,-√491 solutions Answer 124843 by Mathtut(3670)   on 2008-11-24 10:30:57 (Show Source): You can put this solution on YOUR website! and
 expressions/169294: If a=2, b=-3 and c=4 than evaluate 5ac-2b^2/2ab 1 solutions Answer 124822 by Mathtut(3670)   on 2008-11-24 00:50:53 (Show Source): You can put this solution on YOUR website!=40-(18/-12)=41 1/2
 Percentage-and-ratio-word-problems/169295: This question is from textbook Susan is planning on investing her \$1,600 bonus, putting some in an account earning 6% and the rest in an account earning 8%. How much should she put in each to have a total of \$104 interest?1 solutions Answer 124821 by Mathtut(3670)   on 2008-11-24 00:43:41 (Show Source): You can put this solution on YOUR website!The amount of money invested at each rate added together will equal the interest earned. call x the amount invested at 6% and 1600-x the amount invested at 8% : .06(x)+.08(1600-x)=104 : .06x+128-.08x=104 : .02x=24 : invested at 6% invested at 8%
 Numbers_Word_Problems/169298: The sum of two numbers is 23. The larger number of two numbers is one less than twice the smaller. Find the numbers.1 solutions Answer 124820 by Mathtut(3670)   on 2008-11-24 00:35:03 (Show Source): You can put this solution on YOUR website!lets call the numbers a and b(we will call b the larger) a+b=23 b=2a-1 substitute b's value from 2nd equation into the 1st equation : a+(2a-1)=23 : 3a=24 : the smaller number the larger number
 Linear-equations/169305: What is the slope of the line 2y=3x-6?1 solutions Answer 124819 by Mathtut(3670)   on 2008-11-23 23:48:32 (Show Source): You can put this solution on YOUR website!re write in y=mx+b format where m is the slope y=3/2x-3 : so the slop is 3/2
 Sequences-and-series/169216: Don't understand sequences, can anyone help? Evaluate this sum: S= 15 + 9 + 27/5 + 81/25 +.......1 solutions Answer 124817 by Mathtut(3670)   on 2008-11-23 22:06:46 (Show Source): You can put this solution on YOUR website!ahhhhhhh they tried to be tricky on this one....well it simple enough to see we are working with 3's and 5's and that the numerator term say in 27/5 is while the denominator is and the next term 81/25 is numerator is while the denominator is , meaning the terms 3 and 5 are increasing by 1 each time. Its the 1st two terms that are the tricky ones but if you back the exponents up on each of the numerator and denominator making 9= then things begin to make some sense since. For 15 you would write this as=15 so now its easy to see the pattern which is where n is natural numbers starting with 1
 Quadratic_Equations/169276: 2x^2 = x + 151 solutions Answer 124809 by Mathtut(3670)   on 2008-11-23 21:42:06 (Show Source): You can put this solution on YOUR website! factor so 2x+5=0---> .. x-3=0----> x=-5/2 and 3
 Linear-equations/169222: i need homework help. i am stuck on linear equations. how do i figure out if an equation in linear then how do i graph it after that? like 3/x+4y=10 or 4y-2x=01 solutions Answer 124808 by Mathtut(3670)   on 2008-11-23 21:34:16 (Show Source): You can put this solution on YOUR website!http://www.wtamu.edu/academic/anns/mps/math/mathlab/beg_algebra/beg_alg_tut21_graph.htm http://www.purplemath.com/modules/graphlin.htm plot points to graph it....
 Quadratic-relations-and-conic-sections/169271: This question is from textbook McDougal Littell Write an equation of the hyperbola with the given characteristics. Foci: (-3,0),(3,0) Veritices: (-1,0),(1,0)1 solutions Answer 124806 by Mathtut(3670)   on 2008-11-23 21:08:53 (Show Source):
 Percentage-and-ratio-word-problems/169270: what number is 20% of 241 solutions Answer 124804 by Mathtut(3670)   on 2008-11-23 21:00:17 (Show Source): You can put this solution on YOUR website!20% is .2 in decimal form multiply 20% by 24 : .20(24)=4.8
 Sequences-and-series/169218: Have trouble understanding sequences, can anyone give assistance? Find ratio, r, the general term, a(base-n), and a(base-11) 2,-6,18,-54,162,...1 solutions Answer 124802 by Mathtut(3670)   on 2008-11-23 20:50:07 (Show Source): You can put this solution on YOUR website!t(n) = a[r^(n-1)] where t(n) = 'n'th term a = first term of the sequence r = common ratio between two successive terms Here a=2, r=3 hence you get 2,-6,18,-54,162...
 Expressions-with-variables/169229: I know this is a very simple type of equation, but I've forgotten which ones can cancel out and which have to stay. This is the problem: (6a)(-4b) _________ (-2ab)(-3b) It's multiple choice, so the possible answers are: A. 4b B. 4/b C. -4a D. -4/a E. -4/b Please help!1 solutions Answer 124799 by Mathtut(3670)   on 2008-11-23 20:19:40 (Show Source): You can put this solution on YOUR website!just seperate all the terms in there own parentheis and start cancelling a's canel 1 b cancels and you end with -4 constant in the numerator and a b in the denominator. : you end up with -4/b
 Square-cubic-other-roots/169258: cube root of 175 divided by cube root of 501 solutions Answer 124796 by Mathtut(3670)   on 2008-11-23 20:10:01 (Show Source): You can put this solution on YOUR website! cancel each other out and you end up with : cube root of 7 over cube root of 2.
 Mixture_Word_Problems/169246: A confectioner has candy costing 55 cents and 75 cents per kilogram. If he wishes to make 1000 kilograms of a mixture and sell it for 60 cents per kilogram, how much of each does he need?1 solutions Answer 124789 by Mathtut(3670)   on 2008-11-23 19:54:20 (Show Source): You can put this solution on YOUR website!x+y=1000: eq 1 where x is the amount of 55 cent mixture and y is the amount of 75 cent mixture : .55x+.75y=.6(1000)...eq 2 lets take the y value of eq 1 which is y=1000-x and plug it into eq 2. : .55x+.75(1000-x)=600 : .55x+750-.75x=600 : .2x=150 kg of 55 cent candy kg of 75 cent candy
 Proportions/168857: the scale is 5 centimeters = 2 kilometers the actual distance is 10km how do I find the map distance?1 solutions Answer 124514 by Mathtut(3670)   on 2008-11-20 22:27:22 (Show Source): You can put this solution on YOUR website!proportion cross multiply divide by 2 centimeters
 Linear_Algebra/168846: This question is from textbook Prentice Hall algebra2 with trigonometry Please help me solve this equation: Number solving Using three equations: Kristen has a total of 225 on three tests. The sum of the scores on the first and second tests exceeds her third score by 61. her first score exceeds her second by 6. Find the 3 scores.1 solutions Answer 124511 by Mathtut(3670)   on 2008-11-20 22:19:46 (Show Source): You can put this solution on YOUR website!lets call the scores on her 3 tests a,b,and c a+b+c=225...eq 1 a+b=c+61....eq 2 a=b+6.......eq 3 lets plug a's value from eq 3 into b+6+b=c+61----solve for c in terms of b c=2b-55. now we take this value of c and a's value from eq 3 and plug them into eq 1 : (b+6)+b+2b-55=225 4b=164 : score score score
 Equations/168853: This question is from textbook X/4+X/5=9 1 solutions Answer 124508 by Mathtut(3670)   on 2008-11-20 22:08:29 (Show Source): You can put this solution on YOUR website! multiply all terms by 20 9x=180....divide by 9 :
 Equations/168851: complete each ordered pair so that it satisfies the given equation: y=2x+5:(8,?),(-1,?),(?,-1) I figured out 8,21 and -1,3, but I am thrown on the last pair1 solutions Answer 124506 by Mathtut(3670)   on 2008-11-20 22:05:52 (Show Source): You can put this solution on YOUR website!just plug -1 in for the y term -1=2x+5--->2x=-6--->x=-3...... (-3,-1)
 Linear-systems/168849: This question is from textbook Prentice Hall Algebra 2 with trigonometry Please help me solve this equation: using a system of two equations. The sum of a certain number and a second number is -42. The first number minus the second is 52. Find the numbers.1 solutions Answer 124505 by Mathtut(3670)   on 2008-11-20 22:00:30 (Show Source): You can put this solution on YOUR website!lets call the numbers a and b : a+b=-42...eq 1 a-b=52....eq 2 using the elimination method to solve means we try to eliminate one of the variables and we can do that just by adding the 2 equation together(the b terms cancel out. : we end up with 2a=10---> divide by 2 and : to find b just plug a's value into either equation : 5-b=52--->subtract 5 from each side and divide by -1
 Linear-equations/168848: This question is from textbook what is the slope an the y intercept of -7x-4y=161 solutions Answer 124503 by Mathtut(3670)   on 2008-11-20 21:51:41 (Show Source): You can put this solution on YOUR website!write in slope intercept form y=mx+b where m is the slope and b is the y intercept. -4y=7x+16--->divide all terms by -4 : y=-7/4x-4 :