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Recent problems solved by 'scott8148'

scott8148 answered: 6619 problems
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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 problem 1 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! robin 1 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=0 1 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 36 1 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 you 1 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 solutions 1 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= secx 1 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)