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# Recent problems solved by 'scott8148'

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 Rectangles/220548: If the perimeter of the window is 12 ft, what is the area A of the window as a function of the width x of the window?1 solutions Answer 165548 by scott8148(6628)   on 2009-10-01 22:48:16 (Show Source): You can put this solution on YOUR website!length plus width is half the perimeter L + x = 6 ___ L = 6 - x area is length times width A = (6 - x) * x = 6x - x^2
 Numbers_Word_Problems/220564: Can someone please help me....? I have been struggling with this problem on my assignment.... thank you. Find two consecutive odd integers whose product is 23 more than their sum.1 solutions Answer 165546 by scott8148(6628)   on 2009-10-01 22:45:28 (Show Source): You can put this solution on YOUR website!n (n + 2) = n + n+2 + 23 n^2 + 2n = 2n + 25 n^2 - 25 = 0 n = ±5 5 and 7 ___ or ___ -5 and -3
 Numbers_Word_Problems/220563: Can someone please help me....? I have been struggling with this problem on my assignment.... thank you. Find two consecutive odd integers whose product is 23 more than their sum.1 solutions Answer 165545 by scott8148(6628)   on 2009-10-01 22:42:46 (Show Source): You can put this solution on YOUR website!n (n + 2) = n + n+2 + 23 n^2 + 2n = 2n + 25 n^2 - 25 = 0 n = ±5 5 and 7 ___ or ___ -5 and -3
 Rectangles/220547: If the perimeter of the window is 12 ft, what is the area A of the window as a function of the width x of the window?1 solutions Answer 165543 by scott8148(6628)   on 2009-10-01 22:37:43 (Show Source): You can put this solution on YOUR website!length plus width is half the perimeter L + x = 6 ___ L = 6 - x area is length times width A = (6 - x) * x = 6x - x^2
 Linear-systems/220396: solve each system of equations by using substitution 2x+y=4 3x+2y=1 my work so far was 3x+2(2x+4)=1 and then 3x+4x+8=1 and then you add the x's so 7x+8=1 Now what? 1 solutions Answer 165477 by scott8148(6628)   on 2009-10-01 19:45:04 (Show Source): You can put this solution on YOUR website!2x+y=4 ___ y = 4 - 2x substituting ___ 3x + 2(4 - 2x) = 1 ___ 8 - x = 1 ___ x = 7 substituting ___ y = 4 - 2(7) ___ y = -10
 Triangles/220404: Can you tell me the steps in solving this: If the base of a triangle is 11 cm and the area is 242 cm2, what is the height? (the 2 after the cm is a squared sign) I know the formulas for area but I don't know how to get the height using the base and area1 solutions Answer 165474 by scott8148(6628)   on 2009-10-01 19:38:02 (Show Source): You can put this solution on YOUR website!the area is one half times base times height A = 1/2 * b * h multiplying by 2 ___ 2A = b * h dividing by b ___ 2A / b = h
 Percentage-and-ratio-word-problems/220420: Hi - I got the answer to this by working it out but I cannot get to an equation. Can you help me? A class has a boy-girl ratio of 5:3. Three more girls join the class, changing the ratio of 10:7. How many students are now in the class? By trying and just plugging in numbers I got 30 and 18 plus 3 more, so now the total is 51 - but I'm not sure how to set it up as a problem! Thank you!1 solutions Answer 165472 by scott8148(6628)   on 2009-10-01 19:21:37 (Show Source): You can put this solution on YOUR website!b / g = 5 / 3 "cross" multiplying ___ 3b = 5g ___ 6b = 10g b / (g+3) = 10 / 7 7b = 10g + 30 substituting ___ 7b = 6b + 30 ___ b = 30 substituting ___ 3(30) = 5g ___ 90 = 5g ___ 18 = g original class is 48 (30 + 18) ___ new class is 51 (48 + 3)
 Numbers_Word_Problems/220424: one number is seven times another number. the sum of the numbers is 136. find the numbers1 solutions Answer 165467 by scott8148(6628)   on 2009-10-01 19:12:52 (Show Source): You can put this solution on YOUR website!n + 7n = 136 8n = 136 n = 17 7n = 119
 Linear-equations/220417: this is the equation i have infront of me y= 0.8x-5 they want me to find the slope,y and x intercept. i found the slope and y intercept . i just forgot how to find the x intercept.1 solutions Answer 165465 by scott8148(6628)   on 2009-10-01 19:10:59 (Show Source): You can put this solution on YOUR website!when the line crosses the x-axis (x-intercept), the value of y is zero so just substitute 0 = 0.8x - 5 5 = 0.8x 6.25 = x x-intercept is (6.25, 0)
 Sequences-and-series/219869: The sum of two consecutive terms in the arithmetic sequence 1, 4, 7, 10, ... is 299. Find these two terms. Please help! :)1 solutions Answer 165247 by scott8148(6628)   on 2009-09-30 20:10:02 (Show Source): You can put this solution on YOUR website!consecutive terms in the sequence have a difference of 3 if t is the lower term, then t+3 is the higher term t + t+3 = 299 2t = 296 t = 148 t+3 = 151
 Linear-equations/219868: Find the slope of the line that goes through the given points. (3,-2),(-1,-6) Any assistance would be greatly appreciated, I'm having a lot of trouble grasping this.1 solutions Answer 165243 by scott8148(6628)   on 2009-09-30 20:01:46 (Show Source): You can put this solution on YOUR website!the slope is the ratio of the change in the y-value to the change in the x-value you can start at either point, but you must measure the x and y changes in the SAME direction the y-value changes from -2 to -6, so the change is -4 the x-value changes from 3 to -1, so the change is also -4 the slope (usually denoted as m) is the y-change divided by the x-change m = (-1) / (-1) = 1
 Linear-equations/219255: i have tried this problems plenty of times and still cant figure out the right answer. not a graph equation 1-2(3c-5)=10-6c and 5(b-1)-3b=7b-5(1+b)1 solutions Answer 164917 by scott8148(6628)   on 2009-09-29 20:49:35 (Show Source): You can put this solution on YOUR website!1 - 6c + 10 = 10 - 6c ___ NO SOLUTION 5b - 5 - 3b = 7b - 5 - 5b 2b - 5 = 2b - 5 ___ NO UNIQUE SOLUTION
 Equations/218532: What is the energy of light that has a frequency of 1.30 X 10^14 Hz?1 solutions Answer 164641 by scott8148(6628)   on 2009-09-28 20:28:40 (Show Source): You can put this solution on YOUR website!the energy of a photon is the frequency multiplied by Planck's Constant 1.30E14 hz * 6.63E-34 J·s = 8.62E-20 J = .539 eV
 Polynomials-and-rational-expressions/217965: Please help me, I do not understand this question: In a motorcycle race, one lap is 650m. Genna starts off 4s after Tom does, but drives 5m/s faster and finishes 2.5s sooner than he does. a) Find the speed of each driver b) Find the time taken by each of them to cover the distance Ans: Tom: 20.0m/s, 32.5s Genna: 25.0m/s, 26s I read somewhere that Genna's time is t-6.5s. Why is that? She finished 2.5s sooner, not 4 + 2.5 THANK YOU SO MUCH!!1 solutions Answer 164236 by scott8148(6628)   on 2009-09-27 19:12:04 (Show Source): You can put this solution on YOUR website!yes, but she started 4 seconds later so the time difference is the combination of the later start and the earlier finish
 Inverses/217944: Find the inverse of y = (3x) / (x-2) and state the domain of the inverse. I have tried switching the x's for y. I get stuck at this step of the problem: {(xy)-(2x)} / 3 I've looked online for inverse help, but nothing makes sense! Everyone just says switch the x for y. Thanks1 solutions Answer 164234 by scott8148(6628)   on 2009-09-27 19:07:23 (Show Source): You can put this solution on YOUR website!switching x and y ___ x = (3y) / (y - 2) dividing by x and multiplying by (y - 2) ___ y - 2 = 3y / x dividing by y ___ 1 - (2 / y) = 3 / x adding 1 (or x/x) ___ -2 / y = (3 + x) / x take inverse and multiply by -2 ___ y = -2x / (3 + x) the domain is all real numbers EXCEPT -3
 Numbers_Word_Problems/217961: Write an equation to represent the problem. For two consecutive odd integers, the sum of three times the smaller and the larger is 14.1 solutions Answer 164230 by scott8148(6628)   on 2009-09-27 18:53:13 (Show Source): You can put this solution on YOUR website!let n=smaller , so n+2=larger 3n + n+2 = 14 ___ 4n + 2 = 14
 Numbers_Word_Problems/217940: Two numbers such that one is 30% more than the other. Answer is x and 1.3 x. But HOW do you get to the answer is my question. 1 solutions Answer 164229 by scott8148(6628)   on 2009-09-27 18:50:01 (Show Source): You can put this solution on YOUR website!x + (30%)x is 30% larger than x x + (30%)x = x + (.30)x = 1.3 x
 Rational-functions/217951: f(h(x))= when f(x) = 2x-1 and h = x+4 I took (2x-1)(x+4) and that gave me 2x^+8x-x-4 which i 2x^+7x-4 but my options for an answer are 2x+3, 2x+7, 7, and 2x^+7x-8 - i dont get any of them and i have been working on this for 2 hours. Can anyone please help me - thank you.1 solutions Answer 164228 by scott8148(6628)   on 2009-09-27 18:43:39 (Show Source): You can put this solution on YOUR website!the notation is the thing f(h(x)) means put h(x) in place of x in the function f(x) f(h(x)) = 2(h(x)) - 1 = 2(x + 4) - 1 = 2x + 7
 Rational-functions/217952: f(h(x))= when f(x) = 2x-1 and h = x+4 I took (2x-1)(x+4) and that gave me 2x^+8x-x-4 which i 2x^+7x-4 but my options for an answer are 2x+3, 2x+7, 7, and 2x^+7x-8 - i dont get any of them and i have been working on this for 2 hours. Can anyone please help me - thank you.1 solutions Answer 164227 by scott8148(6628)   on 2009-09-27 18:43:03 (Show Source): You can put this solution on YOUR website!the notation is the thing f(h(x)) means put h(x) in place of x in the function f(x) f(h(x)) = 2(h(x)) - 1 = 2(x + 4) - 1 = 2x + 7
 Triangles/217905: The lengths of the sides of a triangle are all whole numbers. The triangle has a perimeter (distance around the shape) of M units. If someone gives you a value for M, determine the shortest possible length of a side. this is a problem my teacher asigned us for the wekkend i have worked on it for two hourrs but nothing is making sense. im not sure what to do at all. PLEASE HELP ME1 solutions Answer 164225 by scott8148(6628)   on 2009-09-27 18:36:58 (Show Source): You can put this solution on YOUR website!the sides are all whole numbers (so M must also be a whole number) the smallest (non-zero) whole number is 1 in a triangle, the sum of any two sides must be greater than the third side; otherwise the triangle doesn't "close up" so 3 is the smallest possible value for M ___ with a side of 1 M=4 doesn't close ___ 1+1 is NOT greater than 2 M=5 ; 2, 2, 1 M=6 ; 3, 2, 1 doesn't close ___ but 2, 2, 2 works M=7 ; 3, 3, 1 M=8 ; 4, 3, 1 doesn't close ___ but 3, 3, 2 works it looks like: ___ if M is odd, then the shortest side is 1 ___ if M is even (except for 4), then the shortest side is 2
 Linear-systems/217540: Hi! Given a sequence like this: when n=1, x=1 when n=2, x=5 when n=3, x=9 when n=4, x=13 ... and so on, how do you come up with an equation to represent that relationship? I know the answer is 4n-3=x because I looked it up in the back of the book. But how do you figure that out on your own? Please help! thank you! cherilyn1 solutions Answer 164037 by scott8148(6628)   on 2009-09-26 20:36:51 (Show Source): You can put this solution on YOUR website!the difference between two consecutive values of x is always 4 ___ 1 & 5, 5 & 9, 9 & 13 this makes the series arithmetic (as opposed to geometric) and 4 is the "constant difference" so, 4n + ? = x ___ the ? is what I call the "fudge factor" ___ you can find it by just taking a pair of n and x values 4(2) + ? = 5 ___ 8 + ? = 5 ___ ? = -3
 Expressions-with-variables/217586: How many gallons of gasoline that cost \$2.60 per gallon must be mixed with 90 gallons of gasoline that costs \$3.10 per gallon to make a mixture that costs \$2.70 per gallon. I have figured the problem out but I am struggline how to make this into an algebraic equation.1 solutions Answer 164034 by scott8148(6628)   on 2009-09-26 20:19:39 (Show Source): You can put this solution on YOUR website!(2.60)(x) + (3.10)(90) = (2.70)(x + 90)
 Equations/216101: I need to write the equation for the following: If 5 is added to the quotient of a number and 4, the result is 10 less than the number. I come up with the written equation: (n+4)+5 = n-10 Is this right? 1 solutions Answer 163222 by scott8148(6628)   on 2009-09-23 16:44:17 (Show Source): You can put this solution on YOUR website!a quotient is the result of division should probably be ___ (n / 4) + 5 = n - 10
 Square-cubic-other-roots/215818: Lost mom trying to help child and recall how to do this stuff Square and Simplify- square root of 5, plus 2 square roots of 11, and all of that is in parantheses and then square all of that 1 solutions Answer 163041 by scott8148(6628)   on 2009-09-22 20:29:37 (Show Source): You can put this solution on YOUR website!(√5 + 2√11)^2 ___ (√5 + 2√11) * (√5 + 2√11) use FOIL ___ First terms, Inside terms ,Outside terms, Last terms (√5 * √5) + (2√11 * √5) + (√5 * 2√11) + (2√11 * 2√11) 5 + 2√55 + 2√55 + 44 49 + 4√55
 Sequences-and-series/215706: 4-7i divided by 5+6i I understand that you have to foil the opposite of the denomenator, but i have trouble simplifying. I got as far as 20-59i+42i^2 over 25-36i^2. I hope you understand my question. Thank you.1 solutions Answer 162963 by scott8148(6628)   on 2009-09-22 17:02:48 (Show Source): You can put this solution on YOUR website!i^2 is -1 [20 - 59i - 42] / [25 + 36] [-22 - 59i] / 61
 Numbers_Word_Problems/214714: The sum of three numbers is 120. The second number is 8 less than the first number, and the third is 4 more than the first number. This question is on a handout my child brought home. There is no ISBN1 solutions Answer 162157 by scott8148(6628)   on 2009-09-18 16:55:54 (Show Source): You can put this solution on YOUR website!let n = "1st number" "The second number is 8 less than the first number" ___ n - 8 "the third is 4 more than the first number" ___ n + 4 "The sum of three numbers is 120" ___ n + n - 8 + n + 4 = 120 3n - 4 = 120 ___ 3n = 124 ___ n = 124/3 = 41 1/3 substituting ___ n - 8 = 33 1/3 substituting ___ n + 4 = 45 1/3
 Geometry_Word_Problems/214485: This is NOT from a text book. The perimeter of one square is 36 inches more than the perimeter of a second square, and the area of the first square is 243 square inches more than the area of the second square. Find the area of the larger square. My work so far: Square #1 Perimeter=4s+36 Area=s^2+243 Square #2 Perimeter= 4s Area=s^2 I am unsure of how to set up the equation.1 solutions Answer 162012 by scott8148(6628)   on 2009-09-17 18:24:12 (Show Source): You can put this solution on YOUR website!sq#1 ___ side length = perimeter / 4 = s+9 ___ area = (side length)^2 = (s+9)^2 = s^2 + 243 s^2 + 18s + 81 = s^2 + 243 18s = 162 ___ s = 9 A = 9^2 + 243 = 324
 Linear-equations/214304: Find the intersection of the following pairs of lines. f(x)=3x+8, g(x)=6x+1 He does not want the composition answer. Please help me.1 solutions Answer 161874 by scott8148(6628)   on 2009-09-16 21:47:28 (Show Source): You can put this solution on YOUR website!the functions are equal at the point of intersection 3x + 8 = 6x + 1 7 = 3x ___ 7/3 = x substitute to find the value of the functions ___ 3(7/3) + 8 = 15 intersection is (7/3 , 15)
 Linear-equations/214303: I have a homework assignment and I need an example of one so I can answer the rest of the questions. Find the line passing through the following pairs of points? (3, 11) (6, 20) Can you please show me how to figure these kind of questions out. Thanks 1 solutions Answer 161870 by scott8148(6628)   on 2009-09-16 21:41:53 (Show Source): You can put this solution on YOUR website!first, find the slope (m) ___ m = (20 - 11) / (6 - 3) = 9 / 3 = 3 using the point-slope form, you can write the equation of the line ___ y - 11 = 3 (x - 3) y - 11 = 3x - 9 y = 3x + 2 (this is the slope-intercept form : y = mx + b)
 Travel_Word_Problems/214298: I am having trouble figuring out how to solve this problem and any help would be appreciated. This problem is not from a text book and is one that my professor create himself. A speedy tortoise can run with a speed of 10 cm/sec and a hare can run 20 times as fast. If they both start at the same time, but the hare stops for 2 minutes to rest, the tortoise wins by 20cm. 1. How long does the race take? 2. What is the length of the race?1 solutions Answer 161867 by scott8148(6628)   on 2009-09-16 21:32:28 (Show Source): You can put this solution on YOUR website!1. t * 10 = [(t - 120) * 200] + 20 ___ time is in seconds 10t = 200t - 23980 ___ 23980 = 190t ___ 126.2 = t (approx) 2. d = 10 * t = 10 * 126.2 = 1262 cm
 Inequalities/214099: Cindy has scores of 73,83,85,90 on her biology tests. Use a compound inequality to find the range of scores she can make on her final exam to receive a C in the course. The final exam counts as two tests, and a C is received if the final course average is from 70 to 791 solutions Answer 161710 by scott8148(6628)   on 2009-09-16 11:05:23 (Show Source): You can put this solution on YOUR website!70 ≥ (73 + 83 + 85 + 90 + 2x) / 6 ≥ 79 70 ≥ (331 + 2x) / 6 ≥ 79 420 ≥ 331 + 2x ≥ 474 89 ≥ 2x ≥ 143 44.5 ≥ x ≥ 71.5