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Recent problems solved by 'stanbon'

stanbon answered: 57178 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179, >>Next

Points-lines-and-rays/90914: This question is from textbook the length of each side of a square is 3/5x+1. what is the perimeter of the square? 1 solutions Answer 65956 by stanbon(57246)   on 2007-07-30 19:24:10 (Show Source): You can put this solution on YOUR website! the length of each side of a square is 3/5x+1. what is the perimeter of the square? ------------- 4 * [3/(5x+1)] or [12/(5x+1)] =========== Cheers, Stan H.

percentage/90909: I need help solving this problem: According to the following numbers what percentage of workers walk to work? Drive Alone 7,862,418 Carpool 1,120,982 Take Public Transit 144,959 Walk 138,496 Other means 149,641 Work at Home 346,626 Do I add all the totals together and divide by how many people walk? 1 solutions Answer 65955 by stanbon(57246)   on 2007-07-30 19:22:17 (Show Source): You can put this solution on YOUR website! The other way around; divide the number who walk to work by the total number of people listed. Cheers, Stan H.

Permutations/90846: What is the probability of drawing three aces from a deck of cards if three cards are drawn at random? 1 solutions Answer 65948 by stanbon(57246)   on 2007-07-30 16:22:42 (Show Source): You can put this solution on YOUR website! What is the probability of drawing three aces from a deck of cards if three cards are drawn at random? # of ways to pick 3 aces = 4C3 = 4 # of ways to pick 3 cards at random = 52C3 = 22100 ------------- Probability of drawing 3 aces at random = 4/52C3 = 0.000180995... Cheers, Stan H.

Permutations/90847: In how many ways can a full house of three aces and two kings be obtained? 1 solutions Answer 65947 by stanbon(57246)   on 2007-07-30 16:18:51 (Show Source): You can put this solution on YOUR website! In how many ways can a full house of three aces and two kings be obtained? # of ways to pick 3 aces = 4C3 = 4 # of ways to pick 2 kings = 4C2 = 6 # of ways to get a full house: 4*6 = 24 =============== Cheers, Stan H.

Square-cubic-other-roots/90869: Solve the equation IF POSSIBLE square root of 2-3x= -4 1 solutions Answer 65946 by stanbon(57246)   on 2007-07-30 16:16:08 (Show Source): You can put this solution on YOUR website! Solve the equation IF POSSIBLE square root of 2-3x= -4 ----------------- No solution. The principal value of a square root is positive. Cheers, Stan H.

Percentage-and-ratio-word-problems/90875: The saddle height on a bicycle should be 109% of the riders inside leg measurement L. Write an equation expressing the fact that the saddle height for Brenda is 36 in. 1 solutions Answer 65945 by stanbon(57246)   on 2007-07-30 16:13:45 (Show Source): You can put this solution on YOUR website! The saddle height on a bicycle should be 109% of the riders inside leg measurement L. Write an equation expressing the fact that the saddle height for Brenda is 36 in. ---------------- 1.09L = 36 ============ Cheers, Stan H.

Polynomials-and-rational-expressions/90886: This has me so confused. Can somone help me. The combined resistance of two resistors R1 and R2 in a parallel circuit is given by the formula R=1/(1/R1+1/R2) Simplify the formula. 1 solutions Answer 65944 by stanbon(57246)   on 2007-07-30 16:10:23 (Show Source): You can put this solution on YOUR website! The combined resistance of two resistors R1 and R2 in a parallel circuit is given by the formula R=1/(1/R1+1/R2) --------------- R = 1/[(R1+R2)/R1R2] Invert to get: R = [R1R2]/[R1+R2] =================== Cheers, Stan H.

Equations/90887: For the data given: find the equation of the line best fit. x=2,3,6,8,10 y=3,6,4,6,6 Do you know what they're talking about? I'm so confused! Thanks for the help. 1 solutions Answer 65943 by stanbon(57246)   on 2007-07-30 16:08:15 (Show Source): You can put this solution on YOUR website! For the data given: find the equation of the line best fit. x=2,3,6,8,10 y=3,6,4,6,6 ------------------------- Use a TI-83 calculator or equivalent. Select STAT Select EDIT Enter the x values in L1 Enter the y values in L2 Select STAT Select CALC Select #4 Lin Reg Sellect ENTER ---------------- Read the equation data: y =0.24554x + 3.57589... ===================== Cheers, Stan H.

Polynomials-and-rational-expressions/90896: Using the distributive property write an expression that is equivilant to the following expression. 20.16+20.12 (the dots i assume are to mulitply they are in the middle instead of where i have them) 1 solutions Answer 65942 by stanbon(57246)   on 2007-07-30 16:02:04 (Show Source): You can put this solution on YOUR website! 20*16+20*12 = 20(16+12) = 20(28) = 560 =============== Cheers, Stan H.

Polynomials-and-rational-expressions/90888: add express your answer in simplest form 6 over 3x-2 plus 3 over 2x 1 solutions Answer 65941 by stanbon(57246)   on 2007-07-30 15:59:54 (Show Source): You can put this solution on YOUR website! 6 over 3x-2 plus 3 over 2x ----------------- 6/(3x-2)] + [3/2x] The lcd = (2x)(3x-2) ------------------------- Write each term with the lcd as its denominator: [6(2x)/lcd + 3(3x-2)/lcd Since the denominators are the same combine the numerators to get: [12x + 9x-6]/lcd (21x-6]/[2x(3x-2)] ===================== Cheers, Stan H.

Polynomials-and-rational-expressions/90883: These word peoblems really confuse me. Can someone help me with this one. If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers? 1 solutions Answer 65940 by stanbon(57246)   on 2007-07-30 15:38:01 (Show Source): You can put this solution on YOUR website! If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers? -------------- Let the consecutive integers be x and x+1. EQUATION: (3/5)(x+1) - (1/2)x = 3 Multiply thru by 10 to get rid of the denominators: 6(x+1) - 5x = 30 x=24 (1st integer) x+1=25 (2nd integer) ===================== Cheers, Stan H.

Inequalities/90881: Please assist me with this problem. Thanks! Write an equation of a line which is parallel to 5x + 2y = 4 and passes through the point (1,0). 1 solutions Answer 65939 by stanbon(57246)   on 2007-07-30 15:26:26 (Show Source): You can put this solution on YOUR website! Please assist me with this problem. Thanks! Write an equation of a line which is parallel to 5x + 2y = 4 and passes through the point (1,0). -------------- The given line has slope m=-5/2 The line you want has form y=mx+b where m=-5/2,y=0 when x=1; solve for b: 0=(-5/2)1+b b=(5/2) EQUATION: y = (-5/2)x + (5/2) ================ Cheers, Stan H.

Quadratic_Equations/90879: This question is from textbook Beginning Algebra Solve by completing the square: 4x^2 + 2x - 3 = 0 4x^2 + 2x = 3 x^2 + 2/4x = 3/4 Square one-half of the of the x-coefficient and then add it to both sides 1/2 of 2/4 = 1/4^2 = 1/16 x^2 + 2/4x + 1/16 = 3/4 + 1/16 (x-1/4)^2 = 13/16 x - 1/4 = +/- radical 13 over radical 16 x - 1/4 = +/- radical 13 over 4 x = 1/4 +/- radical 13 over 4 x = 1 +/- radical 13 over 4 Any help is appreciated. 1 solutions Answer 65936 by stanbon(57246)   on 2007-07-30 15:22:30 (Show Source): You can put this solution on YOUR website! Solve by completing the square: 4x^2 + 2x - 3 = 0 4x^2 + 2x = 3 x^2 + 2/4x = 3/4 Square one-half of the of the x-coefficient and then add it to both sides 1/2 of 2/4 = 1/4 x^2 + (1/2)x + (1/4)^2 = 3/4 + (1/4)^2 (x-1/4)^2 = 13/16 (x-1/4) = +-[sqrt13]/4 x = [1+sqrt13]/4 or x = [1-sqrt13]/4 ===================== Cheers, Stan H.

Inequalities/90877: Please please help me figure this out! I am tearing out my hair over this problem: x/x-3<=-8/x-6 I need to solve and state the solution set. Thank you !!! 1 solutions Answer 65935 by stanbon(57246)   on 2007-07-30 15:08:02 (Show Source): You can put this solution on YOUR website! x/(x-3) <= -8/(x-6) ---------------------- 1st: Find values x cannot take: x=3 and x=6 2nd: Plot those on a number line: Comment: That breakes the number line into 3 intervals. Check each interval with a test value to see where the solution set is. 3rd: Test point check. Interval (-inf,-3) Test Point x=-10 Substitute in the original inequality: -10/(-13)<=-8/-16; 10/13 <= 1/2 ; False ; therefore no solutions in (-inf,-3) ---------------- Interval (-3,6) Test Point x=0 Substitute in the original inequality x/(x-3) <= -8/(x-6): 0 <= -8/-6; 0<=4/3; True ; therefore interval (-3,6) is part of the solution ------------ Inerval (6,+inf) Test Point x=10 Substitute in the original inequality: 10/7 <=-8/4 10/7 <- -2; False; therefore no solutions in (6,+inf) ===================== Final Answer: -3 < x < 6 is the solution set. ================= Cheers, Stan H.

Graphs/90854: Graph F(x) =x/x+3 1 solutions Answer 65931 by stanbon(57246)   on 2007-07-30 13:24:53 (Show Source): You can put this solution on YOUR website! Graph F(x) =x/x+3 Cheers, Stan H.

Equations/90855: What is the answer for thes: 3/5x+2y/5=1 2/5x-2y=12 1 solutions Answer 65929 by stanbon(57246)   on 2007-07-30 13:22:42 (Show Source): You can put this solution on YOUR website! What is the answer for thes: 1st: 3/5x+2y/5=1 2nd: 2/5x-2y=12 ------------------------- Multiply thru by 5 to get rid of the denominators: 3rd: 3x + 2y = 5 4th: 2x - 10y = 60 ------------------ Multiply 3rd by 5 to get: 5th: 15x + 10y = 25 ---------- Add 4th and 5th to get: 17x = 85 x = 85/17 = 5 =================== Substitute into 3rd to solve for y: 3*5 + 2y = 5 2y = -10 y = -5 =============== Cheers, Stan H.

Expressions-with-variables/90857: The cost C in dollars to remove p% of the pollution in a small pond near a factory is given by C(p) = 5000p/100-p, 0<-p<100 , Find the cost of removing 75% of the pollution. 1 solutions Answer 65928 by stanbon(57246)   on 2007-07-30 13:13:28 (Show Source): You can put this solution on YOUR website! The cost C in dollars to remove p% of the pollution in a small pond near a factory is given by C(p) = 5000p/100-p, 0<-p<100 , Find the cost of removing 75% of the pollution. ----------------- C(75) = 5000*75/(100-75) C(75) = $15,000 Cheers, Stan H.

Linear-equations/90861: Hello. Can you please help me with this? I need to complete the given pairs so that each ordered pair satisfies the given equation. x+2y=1 (0, ) (-2, ) (2, ) I appreciate your help and thank you so much in advance. 1 solutions Answer 65927 by stanbon(57246)   on 2007-07-30 13:10:32 (Show Source): You can put this solution on YOUR website! complete the given pairs so that each ordered pair satisfies the given equation. x+2y=1 (0, ) (-2, ) (2, ) ------------------- If x=0 2y=1 and y=-1/2 If x=-2 -2+2y=1; 2y=3; y= 3/2 If x= 2 2+2y=1; 2y=-1; y= -1/2 ================== Cheers, Stan H.

Linear-equations/90862: Hello, could you please help me with this? Write the equation in slope intercept form. y+2=-6(x-1) I appreciate your help and thank you in advance. 1 solutions Answer 65926 by stanbon(57246)   on 2007-07-30 13:07:18 (Show Source): You can put this solution on YOUR website! Write the equation in slope intercept form. y+2=-6(x-1) ------------- Solve for y to get: y = -6x+6-2 y = -6x+4 That's it; slope-intercept form. slope = -6 ; y-intercept = 4 ================== Cheers, Stan H.

Probability-and-statistics/90848: Here is a question that someone asked you and you have already answered it. I do not understand how to input your solution into the calculator. ORIGINAL QUESTION: Find the percent of the total area under a normal curve that is contained within the specified interval. Between the mean and 1.64 standard deviations from the mean YOUR ANSWER: Find the percent of the total area under a normal curve that is contained within the specified interval. Between the mean and 1.64 standard deviations from the You need a z-chart or a calculator with z capability, like a TI 83 or 84 On the z cart find z=1.64. The chart tells you the area over the interval [0,1.64] = 0.9495-0.5000 = 0.4495 My QUESTION: I do not understand the z capability that you are talking about. I have a TI-83. I looked all in the manual and I cannot find anything about z charts. Can you help? 1 solutions Answer 65921 by stanbon(57246)   on 2007-07-30 11:04:14 (Show Source): You can put this solution on YOUR website! ORIGINAL QUESTION: Find the percent of the total area under a normal curve that is contained within the specified interval. Between the mean and 1.64 standard deviations from the mean ------------------ Follow this key sequence on your TI-83: START DISTR Select #2 normal(cdf Input: 0 comma 1.64 ENTER ---------------- You should get .4494974302 as an answer. =============== Cheers, Stan H.

Equations/90753: This question is from textbook Beginning Algebra Good Evening, I am suppose to rewrite the equation as a function of x. The question is -3x+4y=11 I have gotten f(x)= -3/4x + 11/4 but this does not seem correct could someone please help me with this problem? Thank you for your help. 1 solutions Answer 65875 by stanbon(57246)   on 2007-07-29 22:07:20 (Show Source): You can put this solution on YOUR website! rewrite the equation as a function of x. The question is -3x+4y=11 ----------------------- 4y = 3x + 11 y = (3/4)x + (11/4) Cheers, Stan H.

expressions/90791: Use the ac test to determine if the following trinomial can be factored. If it can be factored, find the values of m and n. 3x^2+11x-4 1 solutions Answer 65874 by stanbon(57246)   on 2007-07-29 21:58:35 (Show Source): You can put this solution on YOUR website! Use the ac test to determine if the following trinomial can be factored. If it can be factored, find the values of m and n. 3x^2+11x-4 ----------- AC = 3*-4 = -12 b = 11 -------------- Think of two numbers whose product is -12 and whose sum is 11 --------------- The numbers are -12 and +1 ----------------- Rewrite the problem, as follows: 3x^2+12x-x-4 Factor the 1st two and the last two terms separaely: 3x(x+4)-(x+4) Factor again: (x+4)(3x-1) ==================== Cheers, Stan H.

Angles/90795: Please help me solve this problem. The measure of an angle is 20 less than the measure of its supplement. Find the measure of the angle, the measure of its supplement and the measure of its complement. 1 solutions Answer 65873 by stanbon(57246)   on 2007-07-29 21:53:26 (Show Source): You can put this solution on YOUR website! The measure of an angle is 20 less than the measure of its supplement. Find the measure of the angle, the measure of its supplement and the measure of its complement. --------------- EQUATION: x + x+20 = 180 2x+20=180 2x=160 x=80 (one of the angles) x+20 = 100 (the other angle) =============== Cheers, Stan H.

Graphs/90773: This question is from textbook Algebra and Trigonometry Explain how the graph of y-5=(x-3)squared can be obtained from the graph of y=x squared. 1 solutions Answer 65872 by stanbon(57246)   on 2007-07-29 21:49:26 (Show Source): You can put this solution on YOUR website! Explain how the graph of y-5=(x-3)^2 can be obtained from the graph of y=x^2 ----------- Draw the graph of y=x^2 Move the whole graph 3 to the right because of the (x-3) Then move the whole graph up 5. =================================== The two graphs look like this: ========== Cheers, Stan H.

Equations/90786: 1 solutions Answer 65871 by stanbon(57246)   on 2007-07-29 21:42:11 (Show Source): You can put this solution on YOUR website! One number is 5 times another. If the sum of their reciprocals is 1/5 , find the two numbers. Define the variables you use, and remember to check your solutions. : ----------- Let one number be x; then the other number is 5x. EQUATION: 1/x + 1/5x = 1/5 Multiply thru by 5x to get: 5 +1 = x x=6 (1st number) 5x=30 (2nd number) ============== Cheers, Stan H.

Quadratic_Equations/90605: Find the vertex and intercepts for each parabola. Sketch the graph. g(x)=x^2+x-6 1 solutions Answer 65790 by stanbon(57246)   on 2007-07-29 10:53:28 (Show Source): You can put this solution on YOUR website! Find the vertex and intercepts for each parabola. Sketch the graph. g(x)=x^2+x-6 g(x) = x^2 +x + ? -6 -? Complete the square on the x-terms to get: g(x) = x^2 +x + (1/2)^2 -6 -(1/2)^2 Factor to get: g(x) = (x+(1/2))^2 -24/4 - 1/4 g(x) = (x+(1/2))^2 - (25/4) g(x)+(25/4) = (x+(1/2))^2 ------------ Vertex: ((-1/2),(-25/4)) ------------- Cheers, Stan H.

Linear-systems/90658: solve the system by addition or substitution 20x - 5y = -12 y = 4x +3 Thank you. 1 solutions Answer 65789 by stanbon(57246)   on 2007-07-29 10:30:43 (Show Source): You can put this solution on YOUR website! solve the system by addition or substitution 20x - 5y = -12 y = 4x +3 -------------------------- Substitute y=4x+3 into the 1st equation to get: 20x - 5(4x+3) = -12 20x -20x -15 = -12 -15 = -12 This is a contradiction. There is no solution for the system of equations. ------------ If you graph the two equations you will notice the lines are parallel: Solving the 1st equation for y you get: y = 4x+(12/5) Graphing both equations you get: Cheers, Stan H.

absolute-value/90660: I dont know where I should post this question so here goes....please provide answer and show steps. The function that relates weight in grams of a crystal (w) to the temperature t in degrees Fahrenheit in which it was grown is as follows (fictitious): W(t) = 0.8t + 12 Find w(-6). Thank you 1 solutions Answer 65788 by stanbon(57246)   on 2007-07-29 10:19:18 (Show Source): You can put this solution on YOUR website! W(t) = 0.8t + 12 Find w(-6). ---------------- W(-6) = 0.8*(-6)+12 W(-6) = -4.8 + 12 W(-6) = 7.2 ========= Cheers, Stan H.

Money_Word_Problems/90654: The start-up cost for producing widgets is $449, and each widget costs $91 to produce. Write the function relating x (number of widgets produced) with C(x) or the cost for producing that many widgets. Thank you. 1 solutions Answer 65787 by stanbon(57246)   on 2007-07-29 10:01:38 (Show Source): You can put this solution on YOUR website! The start-up cost for producing widgets is $449, and each widget costs $91 to produce. Write the function relating x (number of widgets produced) with C(x) or the cost for producing that many widgets. -------------------- Let "x" be the number of widgets produced. ---------- EQUATION: C(x) = 449 + 91x ============== Cheers, Stan H.

Permutations/90656: WHAT ARE ALL THE DIFFERENT 4 DIGIT COMBINATIONS THAT CAN BE MADE FROM THE NUMBERS 1-9 ? 1 solutions Answer 65786 by stanbon(57246)   on 2007-07-29 09:21:38 (Show Source): You can put this solution on YOUR website! 9^4 = 6561 Cheers, Stan H.

Expressions-with-variables/90587: Rewrite the middle term as the sum of two terms and then factor completely 15X^2-21x+6 Thank you 1 solutions Answer 65774 by stanbon(57246)   on 2007-07-28 23:12:35 (Show Source): You can put this solution on YOUR website! Rewrite the middle term as the sum of two terms and then factor completely 15X^2-21x+6 ----------- Find two numbers whose product is 6*15=90 and whose sum is -21 --------- The numbers are -6 and -15 ------------- Replace -21x by -6x-15x to get: =15x^2-6x-15x+6 Factor the 1st two and the last two terms separately: =3x(5x-2)-3(5x-2) =(5x-2)(3x-3) ============= Cheers, Stan H.