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Recent problems solved by 'stanbon'

stanbon answered: 57911 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 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 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Probability-and-statistics/214663: 1. For a normally distributed population with m = 200, standard deviation of 10 what is the probability of picking one member of the population at random and have it fall: a. Between 180.40 and 219.6? b. Above 219.6? c. Below 180.4? 2. Scores on a standardize test have a mean of 150 and a standard deviation of 15. You are told your score is in the top 1% of the people who took the test. What score defines the top 1% of all scores? 3. A sample of 144 results in a sample mean of 14 and a sample standard deviation of 24. What is the 95% confidence interval on the population mean? What information does the confidence interval give? 1 solutions Answer 162127 by stanbon(57984)   on 2009-09-18 14:06:49 (Show Source): You can put this solution on YOUR website! 1. For a normally distributed population with m = 200, standard deviation of 10 what is the probability of picking one member of the population at random and have it fall: a. Between 180.40 and 219.6? b. Above 219.6? c. Below 180.4? 2. Scores on a standardize test have a mean of 150 and a standard deviation of 15. You are told your score is in the top 1% of the people who took the test. What score defines the top 1% of all scores? 3. A sample of 144 results in a sample mean of 14 and a sample standard deviation of 24. What is the 95% confidence interval on the population mean? What information does the confidence interval give? ------------------- I could show you the answers to these questions but feel you would not learn from that. Please be specific and state what your difficulty is in solving these and show how far you can get with them. Cheers, Stan H.

Probability-and-statistics/214666: Ignoring twins and other multiple births, assume babies born at a hospital are independent events with the probability that a baby is a boy is 0.5. Find the probability that the next three babies will be all boys? 1 solutions Answer 162109 by stanbon(57984)   on 2009-09-18 12:15:51 (Show Source): You can put this solution on YOUR website! Ignoring twins and other multiple births, assume babies born at a hospital are independent events with the probability that a baby is a boy is 0.5. Find the probability that the next three babies will be all boys? ---------- P(bbb) = (0.5)^3 = 0.125 =========================== Cheers, Stan H.

test/214661: Professor Sum has a total of 56 students. One-half of his students study languages ... 28 students study languages (of the 28, seven of them study French), and One-seventh study Physics, so 8 students study Physics. 1 solutions Answer 162097 by stanbon(57984)   on 2009-09-18 10:41:22 (Show Source): You can put this solution on YOUR website! What is the question? Cheers, Stan H.

Travel_Word_Problems/214655: If you increase your rate by 25 mph and you are going 25 miles you get there 10 min earlier, what was your initial rate? 1 solutions Answer 162096 by stanbon(57984)   on 2009-09-18 10:38:49 (Show Source): You can put this solution on YOUR website! If you increase your rate by 25 mph and you are going 25 miles you get there 10 min earlier, what was your initial rate? -------------------------------------------- Initial DATA: distance = 25 miles ; rate = x mph ; time = d/r = 25/x hrs. ------------------------ Modified DATA: distance = 25 miles ; rate = (x+25) mph ; time = d/r = 25/(x+25) hrs. ------------------------ Equation: old time - new time = 1/6 hr 25/x - 25/(x+25) = 1/6 --- 6*25(x+25) - 6*25x = x(x+25) 150x + 6*625 - 150x = x^2 + 25x x^2 + 25x - 6*625 = 0 (x-50)(x+75) = 0 Positive solution: x = 50 mph (initial rate) ============================= Cheers, Stan H.

Travel_Word_Problems/214253: Assume: A 78 g basketball is launched at an angle of 41.9◦ and a distance of 18.5 m from the basketball goal. The ball is released at the same height (ten feet) as the basketball goal’s height. A basketball player tries to make a long jump-shot as described above. The acceleration of gravity is 9.8 m/s2 . What speed must the player give the ball? Answer in units of m/s. 1 solutions Answer 162089 by stanbon(57984)   on 2009-09-18 10:08:07 (Show Source): You can put this solution on YOUR website! Assume: A 78 g basketball is launched at an angle of 41.9◦ and a distance of 18.5 m from the basketball goal. The ball is released at the same height (ten feet) as the basketball goal’s height. A basketball player tries to make a long jump-shot as described above. The acceleration of gravity is 9.8 m/s2 . What speed must the player give the ball? Answer in units of m/s. ------------------------------------------------ Plot the points (0,0) and (18.5,0) on the x-axis (0,0) is the point of release; (18.5,0) is the basket ---------- Equation: s(t) = -9.8t^2 + vt s is the height at time t v is the release velocity ----------------------------- Your Problem: -9.8t^2 + vt = 0 t(-9.8t + v) = 0 t = 0 or t = v/9.8 ------------------------- To solve for "v" you need to know the time from release to basket. Your post refers to a "jump-shot as described above". Does that description include the time? If not you cannot solve for "v". =================================================================== Cheers, Stan H.

logarithm/214590: What is the answer for: log10(100*10 to the -6)= log10 to the 8 (given that log10 to the 2 =0.3)= 1 solutions Answer 162055 by stanbon(57984)   on 2009-09-17 21:56:16 (Show Source): You can put this solution on YOUR website! What is the answer for: log10(100*10 to the -6)= --- log10(100*10^-6) --- log10(10^-4) --- = -4 ===================================== log10 to the 8 (given that log10 to the 2 =0.3)= = log10(8) = log10(2^3) = 3log10(2) = 3*0.3 = 0.9 =========================== Cheers, Stan H.

Graphs/214584: Graph the inequalities y>or equal to -1 x>or equal to 4 1 solutions Answer 162053 by stanbon(57984)   on 2009-09-17 21:45:10 (Show Source): You can put this solution on YOUR website! Graph the inequalities y>or equal to -1 x>or equal to 4 --------------------- Graph of y>=-1: --- Graph of x >= 4: --------------------- Cheers, Stan H.

Mixture_Word_Problems/214577: A mixture of 10 % acid and 90 % water is added to 5 liters of pure acid. The final mixture is 40 % water. How many liters of water are in the final mixture ? 1 solutions Answer 162051 by stanbon(57984)   on 2009-09-17 21:25:14 (Show Source): You can put this solution on YOUR website! A mixture of 10 % acid and 90 % water is added to 5 liters of pure acid. The final mixture is 40 % water. How many liters of water are in the final mixture ? -------------------- Equation: acid + acid = acid 0.10x + 5 = 0.40(x+5) 10x + 500 = 40x + 200 30x = 300 x = 10 liters -------------------------- Total liquid = x + 5 = 10+5 = 15 liters Amount of water = 0.90x = 9 liters -------------------------- Cheers, Stan H.

test/214526: A block of platinum is 21.45g/cm^3. Calculate its density in kilograms per cubic meter. 1 solutions Answer 162047 by stanbon(57984)   on 2009-09-17 21:04:29 (Show Source): You can put this solution on YOUR website! A block of platinum is 21.45g/cm^3. Calculate its density in kilograms per cubic meter. ---------------------------- [21.45 (g/cm^3)](100 cm/1 meter)^3 (1 kilogram/1000 g) --- = [21.45*100^3*1/1*1*1000)(kilogram/meter^3) --- = 21450 kilogram/meter^3 ============================= Cheers, Stan H.

Percentage-and-ratio-word-problems/214565: jamie gave laura $3 more than laura already had.now laura has $19 how much did jamie give her? 1 solutions Answer 162046 by stanbon(57984)   on 2009-09-17 20:49:44 (Show Source): You can put this solution on YOUR website! jamie gave laura $3 more than laura already had.now laura has $19 how much did jamie give her? ------------------------------------ Let laura start with "L" Let Jamie start with "J" --------------------------------------- After laura gave $3 more that laura had, laura then had L+L+3 --- Equation: L+L+3 = 19 2L = 16 L = 8 ------------------ Jamie gave laura L+3 = $11 ===================================== Cheers, Stan H.

real-numbers/214553: This question is from textbook Holt California Mathematics Course 2 Pre-Algebra Write a fraction or decimal that has a value between the given numbers. 1/6 and 1/5 or 0.7 and 0.71 1 solutions Answer 162044 by stanbon(57984)   on 2009-09-17 20:36:45 (Show Source): You can put this solution on YOUR website! Write a fraction or decimal that has a value between the given numbers. 1/6 and 1/5 --- The fraction get larger as the denominator get smaller --- 1/6 < 1/5.5 < 1/5 --- 1/6 < 11/2 < 1/5 ====================== Another way: Use a common denominator 1/6 = 5/30 1/5 = 6/30 --- So 5/30 < x < 6/30 The x can be any number whose numerator is between 5 and 6 and denom = 30 x can be 5.1 or 5.2 or 5.25, etc =============================================== 0.7 and 0.71 0.700 < 0.705 < 0.710 ========================== Cheers, Stan H.

Quadratic_Equations/214459: How do you find the x intercept and y intercept for quadratic functions and please give an example thank you monica 1 solutions Answer 161991 by stanbon(57984)   on 2009-09-17 16:43:23 (Show Source): You can put this solution on YOUR website! How do you find the x intercept and y intercept for quadratic functions and please give an example ----------------------------- y = ax^2 + bx + c --------------------------- To find the x-intercept let y = 0 and solve for x by using the Quadratic Formula. ---------------- To find the y-intercept let x = 0 and solve for y. ---------------- Cheers, Stan H.

absolute-value/214460: find all of the possible solutions for x that satisfy the following inequality |-(x+2)^2 +1| greater than or equal to 1. 1 solutions Answer 161989 by stanbon(57984)   on 2009-09-17 16:39:32 (Show Source): You can put this solution on YOUR website! |-(x+2)^2 +1| greater than or equal to 1 -1 <= -(x+2)^2+1 <= 1 Subtract 1 along the line to get: -2 <= -(x+2)^2 <= 0 --- Multiply thru by -1 to get: 0 <= (x+2)^2 <= 2 --- Take the square root along the line to get: 0 <= x+2 <= sqrt(2) --- Subtract 2 along the line to get: -2 <= x <= sqrt(2)-2 ============================ Cheers, Stan H.

Word_Problems_With_Coins/214457: Todd has 48 words to spell for a puzzle. His mother says she will pay him $1.00 for every word he spells correctly but he has to pay her $0.60 for every word he spells incorrectly. If Todd makes $19.20, how many words did he spell correctly? Define the variable, create the equation, and solve. 1 solutions Answer 161986 by stanbon(57984)   on 2009-09-17 16:34:30 (Show Source): You can put this solution on YOUR website! Todd has 48 words to spell for a puzzle. His mother says she will pay him $1.00 for every word he spells correctly but he has to pay her $0.60 for every word he spells incorrectly. If Todd makes $19.20, how many words did he spell correctly? Define the variable, create the equation, and solve. --------------------------------------------------------- Let x be the number of words correctly spelled. Let y be the number of words he misspelled. --------------------------------------------------------- He received 100x cents He paid out 60y cents ----------------------------- Equations: Quantity Equation: x + y = 48 Value Equation::::100x - 60y = 1920 cents ----------------------------- Multiply thru the Quantity Equation by 60 to get: 60x + 60y = 60*48 ------------------------- Add that to the Value equation: 160x = 1920+60*48 x = 30 (# of words he spelled correctly) ---- y = 18 (# of words he misspelled) ==================================== Cheers, Stan H.

Mixture_Word_Problems/214434: I would appreciate help with this: In order to achieve maximum results from aerobic exercise, one should maintain one’s heart rate at a certain level. A 30-year-old woman with a resting heart rate of 60 beats per minute should keep her heart rate between 138 and 162 beats per minute while exercising. She checks her pulse for 10 sec while exercising. What should the number of beats be? This should be in the form of an inequality. I thank you very much! 1 solutions Answer 161967 by stanbon(57984)   on 2009-09-17 14:48:33 (Show Source): You can put this solution on YOUR website! In order to achieve maximum results from aerobic exercise, one should maintain one’s heart rate at a certain level. A 30-year-old woman with a resting heart rate of 60 beats per minute should keep her heart rate between 138 and 162 beats per minute while exercising. She checks her pulse for 10 sec while exercising. What should the number of beats be? This should be in the form of an inequality. ------------------------------------------------------------- 10 sec is (1/6)th of a minute -------- (1/6)138 = 23 (1/6)162 = 27 ------------------------- Let her pulse count for the 10 seconds be "x". Ans. to your problem: 23 < x < 27 ================================================== Cheers, Stan H.

Probability-and-statistics/214372: Please show work on how you solved confidence interval problem. A sample of 20 pages was taken withreplacement from the 1,591-page phone directory Ameritech Pages Plus Yellow Pages. On each page, the mean area devoted to display ads was measured (a display ad is a large block ofmulticolored illustrations, maps, and text). The data (in sqaure milltimeters) are shown. 0 260 356 403 536 0 268 369 428 536 268 396 469 536 162 338 403 536 536 130 a. Construct a 95 percent confidence innterval for the true mean. b. Why might normality be an issue here? c. What sample size would be needed to obtanin an error of =+ 10 square millimeters with 99 percent confidence? d. If this is not a reasonble suggest one that is 1 solutions Answer 161965 by stanbon(57984)   on 2009-09-17 14:22:41 (Show Source): You can put this solution on YOUR website! Please show work on how you solved confidence interval problem. A sample of 20 pages was taken withreplacement from the 1,591-page phone directory Ameritech Pages Plus Yellow Pages. On each page, the mean area devoted to display ads was measured (a display ad is a large block of multicolored illustrations, maps, and text). The data (in square millimeters) are shown. 0 260 356 403 536 0 268 369 428 536 268 396 469 536 162 338 403 536 536 130 --- a. Construct a 95 percent confidence innterval for the true mean. sample mean = 325.35 standard deviation = 180.34 standard error: t[s/sqrt(n)] = 2.086

Linear-equations/214418: Solve this equations. 6/2x-1 = 3/x+1 + 1 1 solutions Answer 161956 by stanbon(57984)   on 2009-09-17 13:28:08 (Show Source): You can put this solution on YOUR website! Solve this equations. 6/2x-1 = 3/x+1 + 1 --- Multiply both sides by (x+1)(2x-1) to get: 6(x+1) = 3(2x-1) + (x+1)(2x-1) 6x + 6 = 6x - 3 + 2x^2 + x -1 2x^2 +x -10 = 0 2x^2 +5x - 4x - 10 = 0 x(2x+5) -2(2x+5) = 0 (2x+5)(x-2) = 0 x = -5/2 or x = 2 ========================= Cheers, Stan H.

Problems-with-consecutive-odd-even-integers/214416: This question is from textbook algebra 1 an integrated approach susie has $3.15 in quarters and nickles. there are 23 coins. how many of each type of coin are ther? us the five step method and a table in solution the problem. 1 solutions Answer 161953 by stanbon(57984)   on 2009-09-17 13:20:23 (Show Source): You can put this solution on YOUR website! susie has $3.15 in quarters and nickles. there are 23 coins. how many of each type of coin are ther? us the five step method and a table in solution the problem. ------------------------------------ Quantity Equation: q + n = 23 Value Equation::::25q+5n = 315 cents -------------------------------------------- Multiply the Quantity Equation by 5 to get: 5q + 5n = 115 --- Subtract that from the Value Equation to get: 20q = 200 q = 10 (# of quarters) --- Substitute into q + n = 23 to solve for "n": 10 + n = 23 n = 13 (# of nickels) -------------------------------- Cheers, Stan H.

Surface-area/214402: I need to find the total surface area of a metal washer that is 2.53 cm in diameter, 0.08cm high and the hole that is drilled out in the center measured 0.32cm in diameter.Can you help with the equation? 1 solutions Answer 161941 by stanbon(57984)   on 2009-09-17 11:42:55 (Show Source): You can put this solution on YOUR website! need to find the total surface area of a metal washer that is 2.53 cm in diameter, 0.08cm high and the hole that is drilled out in the center measured 0.32cm in diameter ------------------------------ Top = [(pi)(2.53/2)^2 - pi(0.32/2)^2 ] cm^2 --- The bottom area is the same as the top so double the top area. -------------------- Outer side Area? sa = (circumference)*(height) sa = 2(pi)2.53 * 0.08 ---- Inner side Area? = 2(pi)0.32*0.08 =============================== Add top + bottom + outside + inside to get Total surface area ================================ Cheers, Stan H.

Sequences-and-series/214365: find the nth term of an A.P. whose (r+1)th term is 4r-3 1 solutions Answer 161936 by stanbon(57984)   on 2009-09-17 11:34:16 (Show Source): You can put this solution on YOUR website! find the nth term of an A.P. whose (r+1)th term is 4r-3 ------------------------------ Formula: a(n) = a(1) + (n-1)d ---------------------------------- Your Problem: If r+1 = 1, r = 0 Therefore a(1) = 4*0-3 = -3 ----------------------------------- If r+1 = 2, r = 1 Therefore a(2) = 4*1-3 = 1 ----------------------------------- So d = a(2)-a(1) = 1-(13) = 4 =----------------------------------- Your Problem: To find the nth term: If r+1 = n, r = n-1 Therefore a(n) = 4(n-1)-3 = 4n-7 ========================================= Cheers, Stan H.

Polynomials-and-rational-expressions/214399: How do I solve this by graphing x=2 y=-1 1 solutions Answer 161934 by stanbon(57984)   on 2009-09-17 11:16:58 (Show Source): You can put this solution on YOUR website! How do I solve this by graphing x=2 y=-1 ---------------- Graph the horizontal line y = -1. Graph the vertical line x = 2. --------------- The intersection of those lines is the point (2,-1) ========================================================= Cheers, Stan H.

Polynomials-and-rational-expressions/214397: How do I solve this linear equation Is (5,0) a solution of the system x-4y=5 2x-3y=10 1 solutions Answer 161931 by stanbon(57984)   on 2009-09-17 11:13:16 (Show Source): You can put this solution on YOUR website! Is (5,0) a solution of the system x-4y=5 2x-3y=10 ------------------ Multiply thru the 1st equation by 2 to get: 2x-8y = 10 --- Subtract that equation from the 2nd equation to get: 5y = 0 y = 0 -------------- Substitute that into x -4y = 5 x -4*0 = 5 x = 5 ================== So you are correct; (5,0) is the solution. =========================================== Cheers, Stan H.

absolute-value/214277: This question is from textbook Algebra 1 Write and solve the absolute value inequality: all real numbers less than 1 unit from 4.5 1 solutions Answer 161929 by stanbon(57984)   on 2009-09-17 11:08:47 (Show Source): You can put this solution on YOUR website! Write and solve the absolute value inequality: all real numbers less than 1 unit from 4.5 -------------------- |x-4.5| < 1 ====================== -1 < x-4.5 < 1 --- Add 4.5 along the line: 3.5 < x < 5.5 ================================= Cheers, Stan H.

Mixture_Word_Problems/214386: If the temperature for a 24 hour period ranged between 41 and 59 (degrees Fahrenheit, what is the range in Celsius degrees? Use the formula F=(9/5)C+32. Epress the answers as a compund inequality. 1 solutions Answer 161928 by stanbon(57984)   on 2009-09-17 11:01:07 (Show Source): You can put this solution on YOUR website! If the temperature for a 24 hour period ranged between 41 and 59 (degrees Fahrenheit, what is the range in Celsius degrees? Use the formula F=(9/5)C+32. Epress the answers as a compund inequality. ---------------------------------- 41 < (9/5)C + 32 < 59 --- Subtract 32 along the line: 9 < (9/5)C < 27 --- Multiply thru by (5/9) to get: 5 < C < 15 =================================== Cheers, Stan H.

Geometry_Word_Problems/214389: Calculate the interior andle found in triandle ABC with the given adjacent angle is 76 degrees 1 solutions Answer 161925 by stanbon(57984)   on 2009-09-17 10:54:24 (Show Source): You can put this solution on YOUR website! Calculate the interior angle found in triangle with the given adjacent angle is 76 degrees ------------------------- If you are referring to a 76 degree exterior angle, its adjacent angle must be 180-76 = 104 degrees. ================================ Cheers, Stan H.

Exponents/214368: (x+y)* (x+y)*(x+y)= (x+y)^3 laws of exponents when I use the distributive law...I get x^3 + 3*x^2*y + 3*x*y^2 + y^3 why can't I prove out (x+y)^3? I am missing something 1 solutions Answer 161913 by stanbon(57984)   on 2009-09-17 09:22:56 (Show Source): You can put this solution on YOUR website! (x+y)* (x+y)*(x+y)= (x+y)^3 laws of exponents when I use the distributive law...I get x^3 + 3*x^2*y + 3*x*y^2 + y^3 why can't I prove out (x+y)^3? I am missing something ------------------------------------------------- Factor x^3 + 3*x^2*y + 3*x*y^2 + y^3 --- Rearrange: 3*x^2*y + 3*x*y^2 + x^3 + y^3 --- Factor to get: 3(xy)(x+y) + (x+y)( x^2-xy+y^2) (x+y)[3xy + x^2 -xy + y^2] (x+y)[x^2 +2xy +y^2] (x+y)(x+y)^2 = (x+y)^3 ======================== Cheers, Stan H.

Linear-equations/214371: A system of linear equations in two variables can have _____ solutions. A. infinitely many B. undefined C. zero D. one 1 solutions Answer 161912 by stanbon(57984)   on 2009-09-17 09:14:09 (Show Source): You can put this solution on YOUR website! A system of linear equations in two variables can have _____ solutions. A. infinitely many B. undefined C. zero D. one ------------------------ Any one of those four answers could be true. ------------------------ Cheers, Stan H.

Polynomials-and-rational-expressions/214379: How do I solve by addition method 3x-5y=5 x+2y=9 1 solutions Answer 161910 by stanbon(57984)   on 2009-09-17 09:04:41 (Show Source): You can put this solution on YOUR website! How do I solve by addition method 3x-5y=5 x+2y=9 --------- Multiply thru the 2nd equation by 3: 3x+6y = 27 --- Subtract 3x-5y=5 from 3x+6y=27 to get: 11y = 22 y = 2 ------ Substitute that into x+2y=9 to solve for "x": x + 2*2 = 9 x = 5 -------------------- Cheers, Stan H.

Travel_Word_Problems/214374: Respected sir, plz help me to solve this math problem. 1] 2 airoplans take off from one airfiel at noon.one flies due east at 200 miles per hour while the other flies directly northeast at 283 miles per hour.approximately how many miles apart are the airplanes at 2 PM? waiting for yur reply. thank u. 1 solutions Answer 161909 by stanbon(57984)   on 2009-09-17 08:59:15 (Show Source): You can put this solution on YOUR website! 2 airoplans take off from one airfiel at noon.one flies due east at 200 miles per hour while the other flies directly northeast at 283 miles per hour.approximately how many miles apart are the airplanes at 2 PM? ----------------------------------------------------------- Draw the picture. The eastbound plane has gone 2*200 = 400 miles in 2 hours. -- The northeast bound plane has gone 2*283 = 566 miles. --- The angle between the two routs is 45 degrees --- The distance between the planes is the side of a triangle opposite the 45 degree angle. --------------- Use the Law of Cosines to find that distance d = sqrt[400^2 + 566^2 - 2*400*566*Cos(45)] --- d = sqrt[160178.0495] d = 400.2225 miles ============================ Cheers, Stan H.

Radicals/214305: This question is from textbook Rewrite the expression using rational exponent notation. 3 square root and 125 1 solutions Answer 161881 by stanbon(57984)   on 2009-09-16 22:26:34 (Show Source): You can put this solution on YOUR website! Rewrite the expression using rational exponent notation. 3 square root and 125 --- 3(125)^(1/2) = 3*(25*5)^(1/2) = 3*5*(5)^(1/2) = 15*5^(1/2) ============================= Cheers, Stan H.

Problems-with-consecutive-odd-even-integers/214320: Please respod ASAP!!!!! THANKS!! Find four consecutive even integers such that twice the least increased by the greatest is 96. THANK YOU FOR ANY HELP!! All i really could use is the initial set up problem, then i can figure it out from there. Thanks you!!!!!!!! 1 solutions Answer 161880 by stanbon(57984)   on 2009-09-16 22:20:27 (Show Source): You can put this solution on YOUR website! Find four consecutive even integers such that twice the least increased by the greatest is 96. -------------------------------- 1st: 2x-2 2nd: 2x 3rd: 2x+2 4th: 2x+4 ------------------- Equation: 2(2x-2)+ (2x+4) = 96 4x-4 + 2x+4 = 96 6x = 96 x = 16 -------------- 1st: 30 2nd: 32 3rd: 34 4th: 36 ================ Cheers, Stan H.