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# Recent problems solved by 'scott8148'

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 Volume/586165: how do you find if two cylinders are similar and the scale factor given the diameter and the height?1 solutions Answer 373659 by scott8148(6628)   on 2012-03-13 09:20:14 (Show Source): You can put this solution on YOUR website!if the ratios of the height-to-diameter are the same, then the cylinders are similar the scale factor is height-to-height (or diameter-to-diameter)
 Equations/586172: Can you please help me answer this question? c) convert 0.346 to a fraction where the 4 and 6 in 0.346 are recurring I have completed the same question for 0.04 where the four is recurring but the method I used (let x = 0.0444444....; 100x = 4.44444....; 99x=4.4: therefore x = 44/990)does not work for 0.346. Thankyou very much for your help!!!!''. 1 solutions Answer 373658 by scott8148(6628)   on 2012-03-13 09:15:06 (Show Source): You can put this solution on YOUR website!x = 0.3464646... 100x = 34.6464646... 99x = 34.3 x = 34.3/99 in general, the power of ten used as a multiplier is equal to the number of repeating digits
 Mixture_Word_Problems/586159: "How many litres of olive oil costing \$5 per liter must be mixed with 135 litres of corn oil costing \$3 per liter to make a blend costing \$3.50 per litre." Thank You.1 solutions Answer 373656 by scott8148(6628)   on 2012-03-13 09:01:12 (Show Source): You can put this solution on YOUR website!(x)(5) + (135)(3) = (135 + x)(3.5)
 Expressions-with-variables/585874: 2x/3 + y/4 =2 x/3 - y/9 = 9 could you please help with this problem1 solutions Answer 373551 by scott8148(6628)   on 2012-03-12 16:40:48 (Show Source): You can put this solution on YOUR website!multiply by LCD's to clear fractions 1st equation multiplied by 12 ___ 8x + 3y = 24 2nd eqn. multiplied by 9 ___ 3x - y = 81 ___ multiplying by 3 to setup elimination of y ___ 9x - 3y = 243 adding equations to eliminate y ___ 8x + 3y + 9x - 3y = 24 + 243 ___ 17x = 267 ___ x = 267/17 substituting ___ 3(267/17) - y = 81 ___ 3(267/17) - 81 = y
 Mixture_Word_Problems/585849: The sum of the measures of the three angles of a triangle is 180 degrees. Find the threee angles of a triangle if two angles are the same the third angle is 60 degrees more than each of the other two. AGGHH these word problems are killing me!!1 solutions Answer 373532 by scott8148(6628)   on 2012-03-12 15:11:31 (Show Source): You can put this solution on YOUR website!two angles are the same, let's call them x (really original) the third angle is 60º more than x so ___ x + x + x + 60 = 180 ___ 3x = 120
 Polynomials-and-rational-expressions/585716: two numbers product of 72 sum of 18 ratio of 2:3 1 solutions Answer 373484 by scott8148(6628)   on 2012-03-12 10:21:34 (Show Source): You can put this solution on YOUR website!the pair of numbers whose product is 72 and whose sum is 18 is 6 and 12 they are not in a 2:3 ratio there is NO pair of numbers which meets all 3 of these conditions ___ something is amiss with the question
 Inequalities/585171: I am trying to factor the following: (x^2+20xy+100y^2)z^2-16(x^2+20xy+100y^2) Thank you for any help you can give me. I know each equation in the parenthesis is a special product but don't know really how to proceed? Thanking you inadvance for you're help! robin1 solutions Answer 373183 by scott8148(6628)   on 2012-03-10 18:23:30 (Show Source): You can put this solution on YOUR website!factoring out the "special products" ___ (x^2 + 20xy + 100y^2)(z^2 - 16) factoring sp and difference of squares ___ (x + 10y)(x + 10y)(z + 4)(z - 4)
 Human-and-algebraic-language/584995: The difference of two numbers is 52 and the smaller number is n. What is the other number? I am supposed to write the expression.1 solutions Answer 373175 by scott8148(6628)   on 2012-03-10 18:08:42 (Show Source): You can put this solution on YOUR website!m = 52 - n
 Linear-equations/584963: I'm studying for a compass test and this is an example and I can't remember how to do slope intercept form. I need to know how to get the slope of a perpendicular line to 2x-3y+4=01 solutions Answer 373174 by scott8148(6628)   on 2012-03-10 18:05:32 (Show Source): You can put this solution on YOUR website!general slope-intercept is ___ y = mx + b, where m is the slope and b is the y-intercept solving the equation for y puts it in slope-intercept form the slope of the perpendicular is the negative-reciprocal of the slope of the original line
 Quadratic_Equations/584959: OK, first of all the problem that I need help with is P(x)=-x^2+110x-1,000. P being 5, 50, and 120. I think that if I can get help answering the five then I should be able to figure out the 50 and the 120 (I hope). I am going to college and totally lost so if you could help me with this problem I would greatly appreciate it. I also have to graph it when I am done, but like I said earlier if I can figure out the answer to P(x)=-x^2+110x-1,000 with P being 5 I should be able to get the rest. 1 solutions Answer 373173 by scott8148(6628)   on 2012-03-10 18:01:31 (Show Source): You can put this solution on YOUR website!the quadratic formula will give you the solution(s) for ax^2 + bx + c = 0 ___ x = for P = 5 ___ -x^2 + 110x - 1000 = 5 ___ -x^2 + 110x - 1005 = 0 the ± before the square root usually results in two solutions this graph is a downward opening parabola, with the axis of symmetry at x = 55 ___ the P value of the "nose" (vertex) of the parabola can be found by plugging in 55 for x
 Trigonometry-basics/584930: 4xsquared+36x+56 two numbers that multiply to 56 and add to 361 solutions Answer 373092 by scott8148(6628)   on 2012-03-10 12:26:06 (Show Source): You can put this solution on YOUR website!common factors 1st ___ 4(x^2 + 9x + 14) ___ 4(x + 7)(x + 2)
 Percentage-and-ratio-word-problems/584865: A chemistry student has available to her two acid solutions, one is 10% acid and the other is 35% acid . How much of each should she use to make 2000 ml of a soution that is 25% acid?1 solutions Answer 373090 by scott8148(6628)   on 2012-03-10 12:18:49 (Show Source): You can put this solution on YOUR website!(x)(10%) + (2000 - x)(35%) = (2000)(25%)
 Travel_Word_Problems/584858: Two bike riders, Jeff and Nancy, are 25 miles apart, riding toward each other at 10 miles per hour and 15 miles per hour respectively. A fly starts from Jeff and flies to Nancy and then back to Jeff and so on. The fly continues back and forth at a rate of 40 miles per hour until the bike riders "collide" and crush the fly. How far has the fly traveled? 1 solutions Answer 373089 by scott8148(6628)   on 2012-03-10 12:14:55 (Show Source): You can put this solution on YOUR website!the riders are closing the distance at 25 mph (10 + 15), so it takes them one hr to "collide" the fly is moving at 40 mph, in one hr it travels 40 mi
 Sequences-and-series/584796: find the recursive formula of 1,5,12,22,...1 solutions Answer 373087 by scott8148(6628)   on 2012-03-10 12:04:15 (Show Source): You can put this solution on YOUR website!1st difference ___ 4, 7, 10 2nd difference ___ 3, 3 ___ so formula is 2nd order (squared) an^2 + bn + c = Tn a(1^2) + b(1) + c = 1 ___ a + b + c = 1 ... (X) a(2^2) + b(2) + c = 5 ___ 4a + 2b + c = 5 ... (Y) a(3^2) + b(3) + c = 12 ___ 9a + 3b + c = 12 ... (Z) subtracting X from Y ___ 3a + b = 4 ... (V) subtracting X from z ___ 8a + 2b = 11 ... (W) subtracting 2V from W ___ 2a = 3 ___ a = 3/2 b = -1/2 ___ c = 0 Tn = (3n^2 - n) / 2
 Sequences-and-series/584779: determine the recursive formula of 1,6,15,28,...1 solutions Answer 373083 by scott8148(6628)   on 2012-03-10 11:41:35 (Show Source): You can put this solution on YOUR website!1st difference ___ 5, 9, 13 2nd difference ___ 4, 4 ___ so formula is 2nd order (has a squared term) n * (2n - 1) = 2n^2 - n
 Probability-and-statistics/584778: An ice chest contains 6 cans of apple juice, 3 cans of grape juice, 8 cans of orange juice, and 2 cans of pineapple juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting no grape juice.1 solutions Answer 373082 by scott8148(6628)   on 2012-03-10 11:37:56 (Show Source): You can put this solution on YOUR website!ways of selecting 3 from 19 ___ 19C3 ways of selecting 3 from 16 (no grape) ___ 16C3 probability of no grape ___ 16C3 / 19C3
 Polynomials-and-rational-expressions/584776: If the area of a rectangle is 100m^2 - 49y^2 square meters and the length is 10m +7y meters, what is an expression for the width? Help please!!!1 solutions Answer 373081 by scott8148(6628)   on 2012-03-10 11:29:06 (Show Source): You can put this solution on YOUR website!A = L * W factoring difference of squares ___ 100m^2 - 49y^2 = (10m + 7y)(10m - 7y)
 Mixture_Word_Problems/584774: Lemon drops worth \$1.90 per pound are mixed with jelly beans that's cost \$1.20 per pound to make 100 pounds of a mixture worth \$1.48 person pound. How many pounds of each candy should be used? I have the answer I just don't understand how to get it.1 solutions Answer 373079 by scott8148(6628)   on 2012-03-10 11:25:48 (Show Source): You can put this solution on YOUR website!(x)(1.90) + (100 - x)(1.20) = (100)(1.48)
 Sequences-and-series/584773: provide a simple formula or rule tat generates the terms of 15,8,1,-6,-13,-20,-27.1 solutions Answer 373077 by scott8148(6628)   on 2012-03-10 11:23:36 (Show Source): You can put this solution on YOUR website!22 - 7n
 Sequences-and-series/584771: provide a simple formula or rule that generates the terms of 21,2001,20001,200001.1 solutions Answer 373075 by scott8148(6628)   on 2012-03-10 11:22:05 (Show Source): You can put this solution on YOUR website!(2 * 10^n) + 1
 Numbers_Word_Problems/584767: If sum of a number and 7 is 10 more than twice the number. Find the equation that could be used to find this number, x.1 solutions Answer 373072 by scott8148(6628)   on 2012-03-10 11:20:04 (Show Source): You can put this solution on YOUR website!x + 7 = 2x + 10
 Finance/584766: PLZZ HELP!!! You invest \$12,000 into a corporate bond that pays 7.2% annual interest compounded monthly. How much money will you have after 7 years?1 solutions Answer 373071 by scott8148(6628)   on 2012-03-10 11:18:38 (Show Source): You can put this solution on YOUR website!x = 12000 * {[1 + (.072/12)]^(7 * 12)}
 Finance/584765: PLZZ HELP!!! An investment at the end of 18 years was \$85,678. The interest rate was 9.0% annual interest compounded quarterly. What was the original amount of the investment?1 solutions Answer 373069 by scott8148(6628)   on 2012-03-10 11:14:08 (Show Source): You can put this solution on YOUR website!85678 = x * {[1 + (.09/4)]^(18 * 4)}
 Probability-and-statistics/584800: If you roll a die 60 times what's the probability of landing on a 1 or a 6? How do I explain to a fifth grader how to find the answer. I also need that as a percent and a fraction.1 solutions Answer 372902 by scott8148(6628)   on 2012-03-09 11:50:07 (Show Source): You can put this solution on YOUR website!a 1 or a 6 are 1/3 of the 6 faces of a die, so the probability of NOT getting one or the other, on any given roll, is 2/3 since each roll is a separate (independent) event ___the probability of NOT getting a 1 or 6 on 60 rolls is 2/3 times itself, 60 times, (2/3)^60 -- a very small number since an event HAS TO either happen or not happen, the sum of the two probabilities is 1 ___ so the probability of 1 or 6 in 60 rolls is ___ 1 - (2/3)^60 this makes sense because it is difficult to imagine rolling a fair die 60 times without getting a 1 or 6 1 - [(2/3)^60] = 1 - 2.72x10^-11 = 1 - 0.0000000000272 = 0.9999999999728 it would be more than a thousand times easier to win a Powerball jackpot
 Rate-of-work-word-problems/584785: If it takes 3 days for 10 workers to finish building one house, how many days will it take 15 workers to finish building 4 houses. Thanks.1 solutions Answer 372888 by scott8148(6628)   on 2012-03-09 10:26:38 (Show Source): You can put this solution on YOUR website!3 * 10 = 30 man-days per house 4 * 30 = 120 man-days for 4 houses 120 / 15 = 8 days
 t e s t/584784: i need help yurning area to circuference here is the question the area of a circle is 49pi. what is the circumfrence of the circle. please and thank you1 solutions Answer 372886 by scott8148(6628)   on 2012-03-09 10:23:12 (Show Source): You can put this solution on YOUR website!49 pi = pi r^2 ___ 49 = r^2 c = 2 * pi * r
 Polynomials-and-rational-expressions/584498: A sidewalk of uniform width surrounds a rectangular building. How wide is the sidewalk if the building is ten feet longer than wide; if the outside perimeter of the sidewalk is 192 feet, and if the area of the sidewalk is 704 square feet? Please make it a trinomial. I know the answer is 4, just not how to get there algebraically.1 solutions Answer 372799 by scott8148(6628)   on 2012-03-08 19:27:46 (Show Source): You can put this solution on YOUR website!"the building is ten feet longer than wide" ___ so the perimeter of the sidewalk will be also 2x + 2(x + 10) = 192 ___ 4x + 20 = 192 ___ x = 43, x + 10 = 53 area of building plus sidewalk ___ 43 * 53 area of sidewalk ___ 704 area of building ___ (43 - 2w)(53 - 2w) where w is the width of the sidewalk (43 * 53) - 704 = (43 - 2w)(53 - 2w) ___ 4w^2 - 192w - (43 * 53) + 704 = 0
 logarithm/584450: log(6)x+log(6)(x+16)=2 I dont know how to solve this, and im supposed to check for extraneous solutions1 solutions Answer 372797 by scott8148(6628)   on 2012-03-08 19:09:10 (Show Source): You can put this solution on YOUR website!adding logs means multiplying their arguments x(x + 16) = 6^2 ___ x^2 + 16x = 36 ___ x^2 + 16x - 36 = 0 factoring ___ (x + 18)(x - 2) = 0
 Polygons/584491: The sum of the interior angles of a regular polygon is 7560 degrees. Find the following: The number of sides is: The measure of each interior angle is: The measure of each exterior and central angle is: How would I solve this? I know how to solve it if I know the # of sides but not when it only gives you the sum of all of the interior angles.1 solutions Answer 372795 by scott8148(6628)   on 2012-03-08 19:03:50 (Show Source): You can put this solution on YOUR website!the sum of the exterior angles is 360º ___ so one would equal 360º/n an interior angle is the supplement of an exterior ___ 180º - (360º / n) n[180 - (360/n)] = 7560 ___ 180n - 360 = 7560 ___ 180n = 7200
 Quadratic-relations-and-conic-sections/583684: Which quadrant contains the vertex of the following: f (x) = 2x^2 – 8x + 11? Please explain.1 solutions Answer 372533 by scott8148(6628)   on 2012-03-07 12:48:18 (Show Source): You can put this solution on YOUR website!the general vertex form of the quadratic is ___ y = a(x - h)^2 + k ___ this is a parabola with the vertex at (h,k) y = 2(x^2 - 4x) + 11 completing the square (and compensating so the equation is unchanged) ___ y = 2(x^2 - 4x + 4) - 8 + 11 y = 2(x - 2)^2 + 3
 Trigonometry-basics/583598: how do you fins all solutions between (0,2pi) for tan^2x= secx1 solutions Answer 372523 by scott8148(6628)   on 2012-03-07 10:27:08 (Show Source): You can put this solution on YOUR website! = sin^2(x) = cos(x) 1 - cos^2(x) = cos(x) 0 = cos^2(x) + cos(x) - 1 use quadratic formula to find the cos values for solution(s)