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# Recent problems solved by 'Nate'

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 Miscellaneous_Word_Problems/53313: One-third of the sum of two consecutive integers is 6 less than the smaller integer. Find the integers.1 solutions Answer 35568 by Nate(3500)   on 2006-09-22 20:53:12 (Show Source): You can put this solution on YOUR website!first integer = i second integer = i + 1 (1/3)(2i + 1) = i - 6 2i + 1 = 3i - 18 19 = i first integer = 19 second integer = 20
 Miscellaneous_Word_Problems/53312: One-third of the sum of two consecutive integers is 9 less than the smaller integer. Find the integers.1 solutions Answer 35566 by Nate(3500)   on 2006-09-22 20:51:15 (Show Source): You can put this solution on YOUR website!first integer = i second integer = i + 1 (1/3)(i + i + 1) = i - 9 2i + 1 = 3i - 27 28 = i first integer = 28 second integer = 29
 Equations/53272: Ordered pairs?? Which of the ordered pairs are solutins for the equation x+5y=3 (-12,3) (3,0) (-12,-3) (-22,5)1 solutions Answer 35564 by Nate(3500)   on 2006-09-22 20:48:08 (Show Source): You can put this solution on YOUR website!(-12,3) ~> x = -12 and y = 3 Yes (3,0) ~> x = 3 and y = 0 Yes (-22,5) ~> x = -22 and y = 5 Yes (-12,-3) ~> x = -12 and y = -3 No
 Equations/53269: Another word problem...help! Allen bought 30 stamps at the post office in 39 cent and 24 cent denominations. If the total cost of the stamps was \$9.90, how many 39 cent stamps did Allen buy?1 solutions Answer 35563 by Nate(3500)   on 2006-09-22 20:45:43 (Show Source): You can put this solution on YOUR website!number of 39 cent stamps = x number of 24 cent stamps = y which can look like: and plug: There are 18 0.39 cent stamps and 12 0.24 cent stamps.
 Equations/53270: I give up!!! Please help. The perimeter of a rectangle is to be no greater than 300 in. and the length must be 125 in. Find the maximum width of the rectangle.1 solutions Answer 35561 by Nate(3500)   on 2006-09-22 20:40:13 (Show Source): You can put this solution on YOUR website!Perimeter = 2l + 2w Measurements can not be negative. Also, if the width was zero, you would not have a shape at all.
 Equations/53279: Can you please show me how to solve the system by addition? x+y=9 x-y=9 Thank you1 solutions Answer 35558 by Nate(3500)   on 2006-09-22 20:31:24 (Show Source): You can put this solution on YOUR website!x + x + y - y = 9 + 9 2x = 18 x = 9 plug: 9 - y = 9 y = 0
 Inequalities/53286: the crowd that heard the President speak was estimated to be 10000 people.The actual crowd could be 750 people more or less than this. what are the possible values for the actual crowd size?1 solutions Answer 35539 by Nate(3500)   on 2006-09-22 18:42:29 (Show Source): You can put this solution on YOUR website!10,000 + 750 >= x >= 10,000 - 750
 Angles/53288: Two angles are supplementary. One angle is 20 degrees more than the second angle. Find the measures of both angles.1 solutions Answer 35537 by Nate(3500)   on 2006-09-22 18:40:37 (Show Source): You can put this solution on YOUR website!One angle: x Other angle: x + 20 x + x + 20 = 180 2x = 160 x = 80 One angle: x = 80 degrees Other angle: x + 20 = 100 degrees
 Geometry_Word_Problems/53291: This question is from textbook Elementary and Intermediate Algebra This problem has to do with Geometry. Again, I can't seem to translate the English in to algebra. One of two complementary angles is 6 less than twice the other angle. Find the measure of each angle.1 solutions Answer 35536 by Nate(3500)   on 2006-09-22 18:39:10 (Show Source): You can put this solution on YOUR website!One angle: x Other angle: 2x - 6 x + 2x - 6 = 90 3x = 96 x = 32 One angle: x = 32 degrees Other angle: 2x - 6 = 2(32) - 6 = 64 - 6 = 58 degrees
 Graphs/53300: I think I was able to do all of this correctly except for the graph. Can someone check this for correctness and show me what the graph should look like... Thanks Using the formula, , let r = 10%, P = 1, and n = 1 and give the coordinates (t, A) for the points where t = 0, 1, 2, 3, 4. Round the A value to the tenth's place. ) Show coordinates in this space (0, 1) (1, 1.1) (2, 1.2) (3, 1.33) (4, 1.46) Show work in this space A = 1(1+.10/10)^(1)(0) A= 1(1 +.1)^0 A = 1(1.1)^0 A = 1(1) A = 1 A= 1(1 + .10/10)^(1)(1) A = 1(1.1)^1 A = 1(1.1) A = 1.1 A= 1(1 + .10/10)^(1)(2) A = 1(1.1)^2 A = 1(1.21) A = 1.21 A= 1(1 + .10/10)^(1)(3) A = 1(1.1)^3 A = 1(1.331) A = 1.33 A= 1(1 + .10/10)^(1)(4) A = 1(1.1)^4 A = 1(1. \ Show graph: 1 solutions Answer 35535 by Nate(3500)   on 2006-09-22 18:37:39 (Show Source): You can put this solution on YOUR website!Looks right:
 Systems-of-equations/53305: For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time. Using the formula,A= P (1+ r/n)^nt, let r = 10%, P = 1, and n = 1 and give the coordinates (t, A) for the points where t = 0, 1, 2, 3, 4. Round the A value to the tenth's place.1 solutions Answer 35534 by Nate(3500)   on 2006-09-22 18:35:57 (Show Source): You can put this solution on YOUR website!A = P(1 + r/n)^(tn) A = (1 + 0.1/1)^(t) A = (1.1)^t I think you can fill in the values with the aid of a calculater.
 Systems-of-equations/53060: I have a question which states to find all the real solutions. If any of each equation where they appear a,b,m and n are positive constants square root of x + 1 + square root of x-1 = square root of 2x+11 solutions Answer 35383 by Nate(3500)   on 2006-09-20 20:59:58 (Show Source): You can put this solution on YOUR website! and ~> won't work because you can not take the square root of a negative value Answer:
 Money_Word_Problems/53065: Angela Raimondi wants to invest \$8500,part at 14% annual interest and part at 12% annual interest.If she wants to earn the same amount of interest from eavh investment,how much should she invest at 14%?(Round the answer to the nearest cent.)1 solutions Answer 35381 by Nate(3500)   on 2006-09-20 20:54:23 (Show Source): You can put this solution on YOUR website!0.14(x) = 0.12(8500 - x) 0.14x = 1020 - 0.12x 0.26x = 1020 x = 3,923.08 8500 - 3923.08 = 4,576.92 \$3,923.08 in 14% \$4,576.92 in 12%
 Miscellaneous_Word_Problems/52559: Find the dimensions of the parallelogram if the perimeter is 442. One side is 3x-1 and the other side is 4x+21 solutions Answer 35101 by Nate(3500)   on 2006-09-17 17:27:18 (Show Source): You can put this solution on YOUR website!The opposite sides are equal, so we get: 2(4x + 2) + 2(3x - 1) = 442 4x + 2 + 3x - 1 = 221 divide by two 7x + 1 = 221 7x = 220 x = 220/7 or 31 3/7
 Linear-equations/52576: Hi, I just read about graphing slopes, formulas and all that stuff and am pretty confused... When I try to solve the below problem, I'm getting the right answer, except I'm getting a negative answer instead of positive... The problem: "Find the slope and y-intercept of the line whose equation is given and then graph the line. 3x + 5y + 10 = 0" My effort: 3x + 5y + 10 = 0 or 3x + 5y = -10 or 5y = -3x + -10 or y = -3/5x + -2 M = -3/5 Y-intercept = (0,-2) I checked in the back of the book, and the correct answer is: M = 3/5 y-intercept = (0,2) But even after going over the problem, I can't figure out why I get a negative, and they get a positive... Any help would be very much appreciated! (I don't need help with the graphing part though, I think I've got that :o) Thanks, ~ Jasmine1 solutions Answer 35100 by Nate(3500)   on 2006-09-17 17:24:02 (Show Source): You can put this solution on YOUR website!The answer is simple. You are right; the book is wrong. Don't judge a book by its cover. Just because it's a math book, doesn't mean everything is right in it. Everyone makes mistakes. =P N2^3
 Linear-equations/52563: |x+6|+8=41 solutions Answer 35099 by Nate(3500)   on 2006-09-17 17:20:29 (Show Source): You can put this solution on YOUR website!|x + 6| = -4 An absolute value of any number can not equal a negative number.
 Linear-equations/52564: 1/6(x+6)=111 solutions Answer 35098 by Nate(3500)   on 2006-09-17 17:19:22 (Show Source): You can put this solution on YOUR website!x + 6 = 66 x = 60
 Linear-systems/52572: In class we are working on reviewing writing linear equations. i know how to solve or write an equation when i have a slope and a point, and i also know how to solve when i have two points. My teacher however forgot to give us notes on how to solve when they give us an x-intercept and a y-intercept. For example: x-intercept=3, y-intercept=2. Could you please help me? 1 solutions Answer 35097 by Nate(3500)   on 2006-09-17 17:18:35 (Show Source): You can put this solution on YOUR website!x-intercept = 3 ~> (3,0) y-intercept = 2 ~> (0,2) m = (y2 - y1)/(x2 - x1) = (0 - 2)/(3 - 0) = -2/3 y - y1 = m(x - x1) y - 2 = (-2/3)(x - 0) y - 2 = -2x/3 y = -2x/3 + 2
 Travel_Word_Problems/52565: May rides her bike the same distance that Leah walks. May rides her bike 10 km per hour faster than Leah walks. If it takes May 1 hour and Leah 3 hours to travel that distance, how far does each travel. What is the formula? Please help I am stuck.1 solutions Answer 35095 by Nate(3500)   on 2006-09-17 16:46:46 (Show Source): You can put this solution on YOUR website!Rate * Time = Distance Distance = Distance is going to be defined as Leah's rate May~> rate: 10 + p time = 1 Leah~> rate: p time: 3 (10 + p)(1) = (p)(3) 10 + p = 3p 10 = 2p 5 = p Leah's rate is 5km per hour. It takes her three hours to walk the distance. Rate * Time = Distance 5 * 3 = 15km
 Linear-equations/52566: I need help with this problem, i dont know what |x+6|means i mean i know what the rest of the problum is but i dont know if it is like parenthases or somthing else well the whole problum is |x+6|+8=4 the help would be most appreciated thanks Pheobe1 solutions Answer 35094 by Nate(3500)   on 2006-09-17 16:42:43 (Show Source): You can put this solution on YOUR website!When you have straight bars around that value, it is called absolute value. It, in easier mathematical terms, is described by: That means that every value plugged for gives you a positive number or zero. Lets do an example: |x + 1| = 2 and and Now, lets do your problem: |x + 6| + 8 = 4 |x + 6| = -4 Remember, I said that absolute values gives you positive values or zero. There is no way it will give you negative four, so there are no solutions.
 logarithm/52567: 5^(2x+1)=1/1251 solutions Answer 35093 by Nate(3500)   on 2006-09-17 16:37:19 (Show Source): You can put this solution on YOUR website!I just did this one. For a specific reasoning, check my solutions. x = -2
 logarithm/52568: 5^(2x+1)=1/1251 solutions Answer 35092 by Nate(3500)   on 2006-09-17 16:36:20 (Show Source): You can put this solution on YOUR website!5^(2x + 1) = 1/5^3 5^(2x + 1) = 5^(-3) 2x + 1 = -3 2x = -4 x = -2
 expressions/52569: Can someone help me on this problem? The Kinetic energy of a particle of mass m is found by taking one-half of the product of the mass (m) and the square of the velocity (v). I need to write an expression for the Kinetic energy of a particle. Thank you, Sher1 solutions Answer 35091 by Nate(3500)   on 2006-09-17 16:35:21 (Show Source): You can put this solution on YOUR website!The Kinetic energy( KE ) of a particle of mass( m ) is( = ) found by taking one-half(1/2) of the product of the mass (m) and the square of the velocity(v^2).
 logarithm/52570: ln(x)-ln(x-2)=ln(7)1 solutions Answer 35090 by Nate(3500)   on 2006-09-17 16:33:12 (Show Source): You can put this solution on YOUR website!ln(x) - ln(x - 2) = ln(7) ln(x/(x - 2)) = ln(7) x/(x - 2) = 7 x = 7x - 14 14 = 6x 7/3 = x
 expressions/52571: Can someone help me on this problem? I need to identify the property that is used. 4 * (3 + 2) = (3 + 2) * 4 Is it Associative property or Associate property of addition? Thanks, Sher1 solutions Answer 35089 by Nate(3500)   on 2006-09-17 16:31:11 (Show Source): You can put this solution on YOUR website!A good way of knowing an associative property is this: depends how you associate the parenthesis with the values. (2 + 1) + 3 = 2 + (1 + 3) Your Example: 4*(3 + 2) = (3 + 2)*4 Are you changing the locations of the parenthesis? No. Your property is communitive.
 Systems-of-equations/52511: Please help!!!, I don't understand what the instructor is asking for. What is the formula for measuring sound. Pick a specific sound, give the decibels of the sound, and explain what this measurement means1 solutions Answer 35061 by Nate(3500)   on 2006-09-16 22:00:25 (Show Source): You can put this solution on YOUR website!Sound intensity(loudness) is measured on a logrithmic scale. dB = 10 log (I / Io) I = intensity of sound (joules per second per m^2) Io = softess sound a human can hear (10^-12) A thunder clap: I = 10^0 = 1 dB = 10 log(1/10^(-12)) dB = 10 log(10^12) dB = 10 (12) = 120
 Square-cubic-other-roots/50561: (square root x) to the second power =X1 solutions Answer 35060 by Nate(3500)   on 2006-09-16 21:51:33 (Show Source): You can put this solution on YOUR website!Actually, this is quite easy once you think about it. sqrt(x^2) A number times itself must be .... positive! The square root of a positive number gives us the original number, but it will be positive! x = -2 sqrt((-2)^2) = sqrt(4) = 2 Does 2 = -2 ? No! So we dub: sqrt(x^2) = | x | not
 Inequalities/52509: This question is from textbook Intermediate Algebra In a chemistry class, 12L of a 12% alcohol solution must be mixed with a 20% solution to get a 14% solution. How many liters of the 20% solution are needed? Thank you very much!1 solutions Answer 35057 by Nate(3500)   on 2006-09-16 21:43:54 (Show Source): You can put this solution on YOUR website! I hope that is right; my calculator is upstairs, and I am too lazy to go fetch it, so I did it in my head instead. I have full confidence in you checking it. Good Luck, N2^3
 Graphs/52506: How do I find all the asymptotes of G(x)=(x^3-1)/(x+x^2)?1 solutions Answer 35055 by Nate(3500)   on 2006-09-16 21:38:36 (Show Source): You can put this solution on YOUR website!You can not divide by zero. This can not be: x^2 + x = 0 x(x + 1) = 0 x = 0 and x = -1 Those are your vertical asymptotes. There are infinite linear asymptotes. Ex.) y = x + 2 There are no horizontal asymptotes.
 Radicals/52491: how do you solve the problem sqrt of x to the third power=81 solutions Answer 35051 by Nate(3500)   on 2006-09-16 21:25:48 (Show Source):