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# Recent problems solved by 'scott8148'

scott8148 answered: 6619 problems
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 Polynomials-and-rational-expressions/346837: 18v^2-27vb+10b^2 factor completely 1 solutions Answer 248042 by scott8148(6628)   on 2010-09-22 19:41:23 (Show Source): You can put this solution on YOUR website!(6v - 5b)(3v - 2b)
 Miscellaneous_Word_Problems/346825: WE NEED HELP!! Hello my 10 year old son has a word problem on his math worksheet and I am unable to solve it. Can you please help us??? The problem is as follows: Miranda visited a petting zoo on Saturday. She counted 95 ducks and goats. She also counted 316 legs between the ducks and goats. How many of each kind of each animal did Miranda see? We would greatly appreciate your assistance!!!! :) 1 solutions Answer 248038 by scott8148(6628)   on 2010-09-22 19:37:04 (Show Source): You can put this solution on YOUR website!d + g = 95 ___ d = 95 - g 2d + 4g = 316 substituting ___ 2(95 - g) + 4g = 316 ___ 190 - 2g + 4g = 316 ___ 2g = 126
 Expressions-with-variables/346448: Elizabeth visits her friend Andrew and then returns home by the same route. She always walks 2km/h when going uphill, 6km/h when going downhill and 3km/h when on level ground. If her total walking time is 6 hours, then what is the total distance she walks in km? 1 solutions Answer 248026 by scott8148(6628)   on 2010-09-22 19:12:31 (Show Source): You can put this solution on YOUR website!distance / rate = time a = distance going uphill, returning downhill b = distance going and returning level c = distance going downhill, returning uphill a/2 + b/3 + c/6 + c/2 + b/3 + a/6 = 6 3a + 2b + c + 3c + 2b + a = 36 4(a + b + c) = 36
 Linear-systems/346446: eiffel tower is 497 ft. taller than the washington monument. if each of the monuments were 58 ft. shorter, the eifel tower would be twice as tall as the washingtom monument. how tall is each1 solutions Answer 248013 by scott8148(6628)   on 2010-09-22 18:57:53 (Show Source): You can put this solution on YOUR website!e = w + 497 e - 58 = 2(w - 58) substitute the equivalent value of e from the 1st equation into the 2nd equation to find w substitute the numerical value of w into the 1st equation to find e
 Travel_Word_Problems/346415: Fernandos's motorboat can travel 30mi/h in still water. if the boat can travel 9 miles downstram in the same time it takes to travel 1 mile upstream what is the rate of the river's current?1 solutions Answer 248011 by scott8148(6628)   on 2010-09-22 18:53:07 (Show Source): You can put this solution on YOUR website!time = distance / rate 9 / (30 + c) = 1 / (30 - c)
 Word_Problems_With_Coins/346391: A collection of Half-dollars and quarters is worth \$26. There are 65coins in all. How many of each are there.1 solutions Answer 248008 by scott8148(6628)   on 2010-09-22 18:48:11 (Show Source): You can put this solution on YOUR website!h + q = 65 .5h + .25q = 26 find the equivalent value for h (or q) in the 1st equation and substitute the value into the second equation
 Rate-of-work-word-problems/346384: Jane,Paul and Peter can finish painting the fence in 2 hours. If Jane does the job alone she can finish it in 5 hours. if Paul does the job alone he can finish it in 6 hours. How long will it take for Peter to finish the job alone?1 solutions Answer 248006 by scott8148(6628)   on 2010-09-22 18:43:38 (Show Source): You can put this solution on YOUR website!in the 2 hrs that they work together: Jane paints 2/5 of the fence (2 hr / 5 hr) Paul paints 1/3 of the fence (2 hr / 6 hr) it takes Peter 2 hr to paint the remaining fraction [1 - (2/5) - (1/3)]
 Travel_Word_Problems/346375: during a multi day camping trip, terry watkins rowed 17 hrs downstream. It took 26.5 hrs rowing upstream to travel the same distance. If the speed of the current is 6.8 km per hour less than his rowing speed in still water, find his rowing speed and the speed and the speed of the current1 solutions Answer 248004 by scott8148(6628)   on 2010-09-22 18:37:32 (Show Source): You can put this solution on YOUR website!c = r - 6.8 17(r + c) = 26.5(r - c) substitute the equivalent value of c from the 1st equation into the 2nd equation and solve for r then substitute the numerical value of r into the 1st equation to find c
 Travel_Word_Problems/346372: wilma drove at an average speed of 50 miles per hour in city a to visit her sister in city b. she stayed in city b 25 hours, and on the trip back averaged 55 mph. she returned home 47 hours after she left. how many miles is city a from city b. 1. In terms of , express Wilma's driving time from A to B It is :50 mph 2. In terms of , her return driving time is: 55mph 3. Her TOTAL driving time is: 22 hours So answer from 1. PLUS 2. set equal to 3. is the equation: = x/50+x/55=22 4. which is the equation we must use to solve for x Your answer for x is : ??? question 4 is the only part I need help on. 1 solutions Answer 248002 by scott8148(6628)   on 2010-09-22 18:26:44 (Show Source): You can put this solution on YOUR website!multiply by the LCD (550) ; add the x-terms ; divide to find x
 Sequences-and-series/346370: Find the nth term formula for the arithmetic sequence; 11,21,31.....1 solutions Answer 248001 by scott8148(6628)   on 2010-09-22 18:11:40 (Show Source): You can put this solution on YOUR website!each term equals the previous term with 10 added so the nth term is ___ 1 + 10n
 Finance/346307: Find the area of a trapezoid with the bases 11 inches and 13 inches long and a height of 12 inches.1 solutions Answer 247988 by scott8148(6628)   on 2010-09-22 17:54:15 (Show Source): You can put this solution on YOUR website!the formula you need is: the average of the bases , multiplied by the height
 Linear_Equations_And_Systems_Word_Problems/345682: a rectangular field whose length is 10 meters longer than its width is to be enclosed with exactly 100 meters of fencing materials. What are the dimensions of the field? I got L= 2w+100 and nothing for with. I really don't get it. Please help me.1 solutions Answer 247337 by scott8148(6628)   on 2010-09-20 21:48:01 (Show Source): You can put this solution on YOUR website!L = W + 10 2L + 2W = 100 ___ substitute the equivalent value for L from the first equation and solve for W then substitute the numerical value for W into the first equation and find L
 Radicals/345667: p^2+7p+12>o.....this is what i got p>-4....p>-3 i try to graph it the answer given to us is <-------)-4 -3(----------> if i get >-4 >-3 why is the answer <-4 >-31 solutions Answer 247336 by scott8148(6628)   on 2010-09-20 21:40:57 (Show Source): You can put this solution on YOUR website!the factors are (p + 3) and (p + 4) for the product of the factors to be >0 ; either both factors are >0 , OR both factors are <0 p + 3 > 0 ___ p > -3 p + 4 > 0 ___ p > -4 p + 3 < 0 ___ p < -3 p + 4 < 0 ___ p < -4 p must be > -3 AND -4 (which means greater than -3) , OR < -3 AND -4 (which means less than -4)
 Finance/345658: Please help! :c) In 1940, your grandmother put \$1000 into a special trust to be paid to a future grandchild (you) 60 years later, in the year 2000. How much will this trust be worth in the year 2000 if it has been earning 8%? 1 solutions Answer 247333 by scott8148(6628)   on 2010-09-20 21:19:24 (Show Source): You can put this solution on YOUR website!1000 * (1 + .08)^60
 Miscellaneous_Word_Problems/345643: If all men in the Williams family are over six feet tall, which of the following statements must be true? A. No man under six feet tall is a member of the Williams family. B. All men over six feet tall are members of the Williams family. C. All men who are not members of the Williams family are under six feet tall. D. Every member of the Williams family over six feet tall is a man. E. There is one man in the Williams family under six feet tall. 1 solutions Answer 247331 by scott8148(6628)   on 2010-09-20 21:15:18 (Show Source): You can put this solution on YOUR website!A.
 Money_Word_Problems/345842: Adrienne deposited some money in an account earning 4.5% simple interest and \$3000 more than this in an account earning 6% simple interest. After one year, she earned a total of \$390 in interest. How much did she deposit in each account?1 solutions Answer 247328 by scott8148(6628)   on 2010-09-20 21:02:02 (Show Source): You can put this solution on YOUR website!x = amount at 4.5% (x)(4.5%) + (3000 + x)(6%) = 390
 Miscellaneous_Word_Problems/345847: To make low-fat cottage cheese, milk containing 4% butterfat is mixed with milk containing 1% butterfat to obtain 39 gallons of a mixture containing 2% butterfat. How many gallons of each milk must be used? gallons of milk containing 1% butterfat 2 gallons of milk containing 4% butterfat 1 solutions Answer 247327 by scott8148(6628)   on 2010-09-20 20:58:46 (Show Source): You can put this solution on YOUR website!x = gallons of 4% (x)(4%) + (39 - x)(1%) = (39)(2%)
 Graphs/345852: For what values of x is the area of the rectangle greater than the perimeter? (Rectangle has a height of 7 and a width of x+2) Note: the is only a 2D shape I have tried doing this.. Simplifying to x+18 1 solutions Answer 247325 by scott8148(6628)   on 2010-09-20 20:52:23 (Show Source): You can put this solution on YOUR website!p = 2x + 18 a = 7x + 14 7x + 14 > 2x + 18 ___ 5x > 4 ___ x > 4/5
 Age_Word_Problems/345872: Ross is six years older than hsi sister Holly, In two years he will be twice as old as his sister. Find their present ages. What's a formula to use for this?1 solutions Answer 247322 by scott8148(6628)   on 2010-09-20 20:38:49 (Show Source): You can put this solution on YOUR website!R = H + 6 R + 2 = 2(H + 6 + 2) ___ R + 2 = 2H + 16 ___ substitute the equivalent value of R from the first equation to find H then substitute the numerical value of H into the first equation to find R
 real-numbers/345877: show that 5 7/18 is rational by writing it as a quotient of two integers 1 solutions Answer 247315 by scott8148(6628)   on 2010-09-20 20:29:15 (Show Source): You can put this solution on YOUR website!97/18
 Word_Problems_With_Coins/345885: How do you get 91 cents using 14 coins but, you have twice as many nickles then quarters?1 solutions Answer 247314 by scott8148(6628)   on 2010-09-20 20:27:42 (Show Source): You can put this solution on YOUR website!a quarter, two nickels , 5 dimes , 6 pennies
 Miscellaneous_Word_Problems/345880: The number of candles a store sells is four less than three times the number of flowers sold. The number of candles and flowers sold totals 32. How many of each are sold? Not sure if this is right?? n= # of flowers 3n-4=32 n+3n-4=32 4n-4=32 Add 4 to both sides of equation 4n=36 Then divide both by 4 n=9 flowers Then you plug in the number 9 to the original equation. 3(9)-4=32 27-4=23 23 candles Answer is 9 flowers, and 23 candles??? HELP!!! 1 solutions Answer 247307 by scott8148(6628)   on 2010-09-20 20:21:53 (Show Source): You can put this solution on YOUR website!good solution , and correct not sure about 3n-4=32 , but you seemed to ignore it
 Graphs/345864: im suppose to write an equation of the form y=mx+b for a graph model. one point on the graph model is National CITY center (number of stories) 23, (height) 301. 1 solutions Answer 247298 by scott8148(6628)   on 2010-09-20 20:07:40 (Show Source): You can put this solution on YOUR website!since zero stories corresponds to zero height , the graph should probably pass through the origin (0,0) h = (301/23)s + 0 ___ or ___ h = (301/23)s
 Permutations/344851: We are to seat 5 boys, 5 girls, and 1 parent in a circular arrangement. In how many ways can this be done if no boy is to sit next to a boy and no girl is to sit next to a girl? What if there are 2 parents? I really just don't know where to start. I've drawn it up, but if you count symmetries and assume the boys and girls to be indistinguishable its weird.. i'm honestly just not good at this haha. thanks for all your help though 1 solutions Answer 246776 by scott8148(6628)   on 2010-09-18 21:59:37 (Show Source): You can put this solution on YOUR website!the parent(s) are easy to factor in , just concentrate on the boys and girls the only way for no two boys or two girls to be next to each other is for them to be alternating around the circle imagine a ring of 5 boys (with spaces) and a ring of 5 girls (with spaces) ___ the rings are intermeshed to make the seating arrangement how many ways can five things be ordered or arranged sequentially? ___ usually , 5! ___ but a circular arrangement repeats itself as many times as there are positions on the circle ___ so there are 4! (5! / 5) orders for the ring of boys and for the ring of girls ___ there are also 5 ways for the rings to intermesh so the number of boy-girl arrangements is ___ 4! * 4! * 5 one parent can insert a chair at any of 10 places on the circle ___ so boys and girls and one parent is ___ 4! * 4! * 5 * 10 the second parent would have 11 places to insert a chair ___ so boys and girls and two parents is ___ 4! * 4! * 5 * 10 * 11 the second parent would also allow an adjacent boy and girl to swap positions so that two boys and two girls would be separated by parents instead of other boys and girls ___ 10 possible swaps with two positions for the parents ___ the possible arrangements now becomes ___ 4! * 4! * 5 * (10 * 11 + 20)
 Linear-systems/344714: the question is: Your piggy bank has a total of 47 coins in it; some are dimes and some are nickels. If you have a total of \$3.95, how many nickels and how many dimes do you have? Show all of your work to receive full credit. I tried for at least 20 min and only got this, d+n=47 -d -d .10d+.05n=3.95 n=d+47 .10d+.05(d+47)=3.95 .10d+.05d+2.35=3.95 .15d+2.35=3.95 -2.35 -2.35 .15d=1.6 /.15 /.15 d=10.661 solutions Answer 246679 by scott8148(6628)   on 2010-09-18 13:24:37 (Show Source): You can put this solution on YOUR website!if "d+n=47" (which is true), how can "n=d+47" ? try ___ n = 47 - d your method is okay
 Radicals/344740: Hello, I am in Geometry, and we are required to use algebra to solve for angles and measures. But I've stumbled upon something I have forgotten in algebra. Your help would be greatly appreciated. Here's the problem: 9x^2 + x - 1 = x^2 + x + 7 I have already managed to do this: 9x^2 + x - 1 = x^2 + x + 7 8x^2 + x - 1 = x + 7 8x^2 - 1 = 7 8x^2 = 8 *This is where I get stuck. How do I get rid of the x squared so all i'm left with is the value of x?1 solutions Answer 246676 by scott8148(6628)   on 2010-09-18 13:17:52 (Show Source): You can put this solution on YOUR website!dividing by 8 ___ x^2 = 1 taking square root ___ x = ±1
 Rate-of-work-word-problems/344530: 22. Two pumps of different sizes, working together, can empty a fuel tank in 5 hours. The larger pump can empty this tank in 4 hours less time than the smaller. If the larger pump is out of order, how long will it take the smaller one to do the job alone? 1 solutions Answer 246546 by scott8148(6628)   on 2010-09-17 16:39:05 (Show Source): You can put this solution on YOUR website!(fraction done by larger pump) + (fraction done by smaller pump) = (whole task) [5 / (s - 4)] + (5 / s) = 1
 Money_Word_Problems/344360: i have a word problem which i cannot find a formula for it? the problem goes like this "some office workers bought a \$35 gift for their boss. if there had been two more employees to contribute everyones cost would have been \$2 less.How many workers contributed to the gift?1 solutions Answer 246331 by scott8148(6628)   on 2010-09-17 00:25:17 (Show Source): You can put this solution on YOUR website!(35 / n) - 2 = 35 / (n + 2) multiplying by n(n + 2) ___ 35n + 70 - 2n^2 - 4n = 35n n^2 + 2n - 35 = 0 factoring ___ (n + 7)(n - 5) = 0 n = 5
 Travel_Word_Problems/343639: Larry starts cycling at 20 mi/hr. One hour later, Rebecca starts cycling from the same place at 25 mi/hr, going in the same direction on the same road as Larry. How long will it take Rebecca to catch up to Larry? *Someone told me to do 20T = 25(T-1) 20T = 25T - 25 20T - 25T = -25 -5T = -25 T = -25/-5 T = 5 hours. I am not sure if this is right? If it is right, I don't understand what everything stands for or the formula used. I need an explanation please. 1 solutions Answer 245918 by scott8148(6628)   on 2010-09-15 20:42:01 (Show Source): You can put this solution on YOUR website!Rebecca catches Larry when they have both traveled the same distance distance equals rate multiplied by time Rebecca's rate is 25 mph and her time is one hr less than Larry's Larry's rate is 20 mph the T in the equations represents Larry's time depending on your viewpoint, you might say that Rebecca's time to catch Larry doesn't start until Rebecca starts ___ so the answer is either 4 hr or 5 hr hope this helps
 Functions/343634: Please help me solve this equation: 42.73=-.03t+45.4. I know the answer is 89 but I cannot determine how to get 89. I tried 42.73 times .03+45.4 but that is not correct. I also tried to divide both sides by -.03 but again that does not work. 1 solutions Answer 245907 by scott8148(6628)   on 2010-09-15 20:27:38 (Show Source): You can put this solution on YOUR website!subtracting 45.4 ___ -2.67 = -.03t dividing by -.03 ___ 89 = t
 logarithm/343621: a certain radio active isotope decays at a rate of .2% annually. Determine the half life of the isotope, to the nearest year.1 solutions Answer 245903 by scott8148(6628)   on 2010-09-15 20:17:25 (Show Source): You can put this solution on YOUR website!(1 - .002)^h = 1/2 h * log(1 - .002) = log(1/2) h = [log(1/2)] / [log(1 - .002)]