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# Recent problems solved by 'stanbon'

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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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149, >>Next

 Percentage-and-ratio-word-problems/264614: Pat, Jett, and Vic went to the library during their break. Jett stayed in the library for 1/10 hour less than Pat. Vic stayed in the library for 1/4 hour more than Jett. If Vic stayed in the library for 4/5 hour, how much time did each one stay in the library?1 solutions Answer 194780 by stanbon(57214)   on 2010-02-02 16:42:20 (Show Source): You can put this solution on YOUR website!Pat, Jett, and Vic went to the library during their break. Jett stayed in the library for 1/10 hour less than Pat. Vic stayed in the library for 1/4 hour more than Jett. If Vic stayed in the library for 4/5 hour, how much time did each one stay in the library? ----- Inequalities; Equalities J = P - (1/10) V = J + (1/4) V = 4/5 hr. ---------- Solve for "J": J = V - (1/4) J = (4/5)-(1/4) J = 11/20 hr ---- Solve for "P" P = J + (1/10) P = (11/20) + (1/10) P = 11/20 + 2/20 P = 13/20 hr. ======================= Cheers, Stan H.
 Probability-and-statistics/264581: A multiple choice test has 20 questions with each having 4 possible answers with one correct. Assume a student randomly guesses the answer to every question a. What is the probability of getting exactly 9 correct answers? b. What is the probability of getting less than 9 correct answers?1 solutions Answer 194779 by stanbon(57214)   on 2010-02-02 16:36:53 (Show Source): You can put this solution on YOUR website! A multiple choice test has 20 questions with each having 4 possible answers with one correct. Assume a student randomly guesses the answer to every question ----- Binomial Problem with n = 20, p = 1/4 ------ a. What is the probability of getting exactly 9 correct answers? P(x=9) = 20C9(1/4)^9(3/4)^11) = 0.02706... ------------------------------------------------ b. What is the probability of getting less than 9 correct answers? P(0<= x <=8) = binomcdf(20,4^-1,8) = 0.9591... ============ Cheers, Stan H.
 Probability-and-statistics/264516: A new car is designed to run a mean of at least 50 000 kilometres before its first tune-up. Tests with 30 cars show a sample mean of 49 500 kilometres and a sample standard deviation of 1000 kilometres. a. Develop the null and alternative hypotheses most appropriate for testing the claim that the new car can run at least 50 000 kilometres before its first tune-up. b. Using a .05 level of significance, test whether or not there is sufficient evidence to reject the claim of a mean of at least 50 000 kilometres. c. What is the p-value. 1 solutions Answer 194752 by stanbon(57214)   on 2010-02-02 14:34:21 (Show Source): You can put this solution on YOUR website!A new car is designed to run a mean of at least 50 000 kilometres before its first tune-up. Tests with 30 cars show a sample mean of 49 500 kilometres and a sample standard deviation of 1000 kilometres. a. Develop the null and alternative hypotheses most appropriate for testing the claim that the new car can run at least 50 000 kilometres before its first tune-up. Ho: u >= 50.000 Ha: u < 50,000 b. Using a .05 level of significance, test whether or not there is sufficient evidence to reject the claim of a mean of at least 50 000 kilometres. test statistic: t(49,5000) = (49500-50,000)/[1000/Sqrt(30)] = -2.7386... critical value: invT(0.05,df=29) = -1.6991.. Conclusion: Since the ts is to the left of the cv, reject Ho. --------------------------- c. What is the p-value. p-value = P(t<-1.6991 when df = 29) = tcdf(-100,-2.7386,df=29) = 0.00522 ======================= Cheers, Stan H.
 Geometry_Word_Problems/264526: Time to swing. The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T2 =π^2L. If a child is on a swing with a 10-foot chain, then how long does it take to complete one cycle of the swing?1 solutions Answer 194738 by stanbon(57214)   on 2010-02-02 13:36:12 (Show Source): You can put this solution on YOUR website!Time to swing. The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T2 =π^2L. If a child is on a swing with a 10-foot chain, then how long does it take to complete one cycle of the swing? ------- 8T^2 = pi^2*10 t^2 = (5/4)pi^2 t = (1/2)*sqrt(5)*pi t = 3.512 seconds ======================== Cheers, Stan H.
 Equations/264517: please help solve the following problem.round answer to two decimal places when necessary. C=100 (Pi)=3.14 D=C÷(Pi) D=1 solutions Answer 194736 by stanbon(57214)   on 2010-02-02 13:30:42 (Show Source): You can put this solution on YOUR website!solve the following problem.round answer to two decimal places when necessary. C=100 (Pi)=3.14 D=C÷(Pi) D= 100/3.14 --- You should use on online calculator for problems of this kind. Use Google to find "calculator". --- Ans: 31.85 Cheers, Stan H.
 Probability-and-statistics/264518: A firm is studying the production times for two production methods. The firm is satisfied with production method A and is prepared to continue using it if the mean delivery time is the same as or less than for production method B. However, if the firm finds that the mean delivery time for method B is less than that for method A, it will begin using method B. a. What are the null and alternative hypotheses? Assume that independent samples show the following delivery time characteristics for the two production methods. Method A Method B b. With  = .02, what is your conclusion for the hypotheses from part a? (Show your work.) c. What action do you recommend regarding selection of a production method? 1 solutions Answer 194734 by stanbon(57214)   on 2010-02-02 13:25:39 (Show Source): You can put this solution on YOUR website!The DATA did not shown up in your post. Cheers, Stan H.
 Surface-area/264521: Can you assist me with the following word problem? The cost of Pergo Select Helsinki Birch laminate flooring is \$5.89 per square foot if Nancy installs the flooring herself or \$8.89 per square foot if she has the flooring company install it. Determine the cost of the florring in the living/dining room (25' X 22') if: a. Nancy installs it herself. b. Nancy has the flooring company install it.1 solutions Answer 194731 by stanbon(57214)   on 2010-02-02 13:22:46 (Show Source): You can put this solution on YOUR website!The cost of Pergo Select Helsinki Birch laminate flooring is \$5.89 per square foot if Nancy installs the flooring herself, or \$8.89 per square foot if she has the flooring company install it. Determine the cost of the flooring in the living/dining room (25' X 22') if: Area = 25'*22' = 550 sq. ft a. Nancy installs it herself. 5.89*550 = \$3239.50 ------------------------------- b. Nancy has the flooring company install it. 8.89*550 = \$4889.50 =========================== Cheers, Stan H.
 Travel_Word_Problems/263665: The population of a country Dnalgne is 80 million in 1997 and increasing at a rate of 0.2 million per year. The average annual income of a person in Dnalgne during 1997 was 16000 dollars per year and increasing at a rate of 500 dollars per year. How quickly was the total income of the entire population rising in 1997? I think I am supposed to use the formula ending population-beginning population/ending and do that for the income too, but I don't know how to combine the two to find the total income of the entire population. Any help would be great!1 solutions Answer 194729 by stanbon(57214)   on 2010-02-02 13:18:11 (Show Source): You can put this solution on YOUR website!The population of a country Dnalgne is 80 million in 1997 and increasing at a rate of 0.2 million per year. The average annual income of a person in Dnalgne during 1997 was 16000 dollars per year and increasing at a rate of 500 dollars per year. ---------- How quickly was the total income of the entire population rising in 1997? rato of increase of income = (16000+500)/16000 = 1.03125 Income was increasing at a rate of 0.03125 ================================================ Cheers, Stan H.
 Probability-and-statistics/264435: Hello, First off, thank you for your help. My mind is at a total loss; it has been awhile since I took statistics. Preceding the question, you need to know what the teacher wants. Three companies are accussed of stealing money from a parking meter. She wants us to find the mean median and mode of the numbers given. We are given the total income or revenue the city receives from each company. Here are the numbers for company 1 (brinks) 166,410. Company two (cdc) collected 81199. company three collected collected 74171. Again, the mean median and mode need to be found. I believe these are not mutually exclusive events. Please help. Thanks for your time1 solutions Answer 194726 by stanbon(57214)   on 2010-02-02 13:12:23 (Show Source): You can put this solution on YOUR website!Here are the numbers for company 1 (brinks) 166,410. Company two (cdc) collected 81199. company three collected collected 74171. Again, the mean median and mode need to be found. ------------ Mean: Add the three numbers and divide the sum by 3 to get the mean. --------------- Median: Put the numbers in order. The middle one is the median. ------------------ Mode is the number that occurs most frequently. Your has has no mode. --------------------- Cheers, Stan H.
 Probability-and-statistics/264492: Recall that in the 2000 election, 48.4% of votes were cast for Al Gore. If we take a random sample of 50 voters from that election, and we want to compute the probability that more than 52% of them voted for Gore, i.e., P(p hat>0.52), which of the following standard normal probabilities equals this probability? A)P(Z > 0.51) B)P(Z > 0.036) C)P(Z > 0.01) D)P(Z > 0.52)1 solutions Answer 194721 by stanbon(57214)   on 2010-02-02 13:00:47 (Show Source): You can put this solution on YOUR website!Recall that in the 2000 election, 48.4% of votes were cast for Al Gore. If we take a random sample of 50 voters from that election, and we want to compute the probability that more than 52% of them voted for Gore, i.e., P(p hat>0.52), which of the following standard normal probabilities equals this probability? --- p = 0.0484 std = sqrt(0.484*0.9516/50) = 0.0707 z(0.52) = (0.52-0.484)/0.0707 = 0.51 ----- Ans: A ------------ Cheers, Stan H. ================= A)P(Z > 0.51) B)P(Z > 0.036) C)P(Z > 0.01) D)P(Z > 0.52)
 Mixture_Word_Problems/264489: A chemist has one solution that is 60% chlorinated and another solution that is 40% chlorinated. How much of the first (60%) solution is needed to make a 100 L solution that is 50% chlorinated?1 solutions Answer 194718 by stanbon(57214)   on 2010-02-02 12:48:59 (Show Source): You can put this solution on YOUR website!A chemist has one solution that is 60% chlorinated and another solution that is 40% chlorinated. How much of the first (60%) solution is needed to make a 100 L solution that is 50% chlorinated? ----------------- Equation: chlorine + chlorine = chlorine 0.60x + 0.40(100-x) = 0.50*100 Multiply thru by 100 to get: 60x + 40*100 - 40x = 50*100 20x = 10*100 x = 50 L (amount of 60% solution needed in the mixture) ========================== Cheers, Stan H.
 Angles/264490: there are supplementary angles. what are the degrees of the angles is 5x-12?1 solutions Answer 194715 by stanbon(57214)   on 2010-02-02 12:43:44 (Show Source): You can put this solution on YOUR website!That is not enough information. Cheers, Stan H.
 Linear-equations/264486: A catering service placed an order for eight centerpieces and five glasses, and the bill was \$106. For the wedding reception it was short one centerpiece and six glasses and had to reorder. This order came to \$24. Let x represent the cost of one centerpiece, and let y represent the cost of one glass. Write an equation using x and y that represents the cost of the first order. Write an equation using x and y that represents the cost of the second order. The equations in parts a and b form a system of two linear equations that can be used to determine the cost of a single centerpiece and a single glass. Write this system below. Solve the system using the substitution method. Use the addition method to check your result in part d. Use the solution to the system to determine the cost of 15 centerpieces and 10 glasses. 1 solutions Answer 194714 by stanbon(57214)   on 2010-02-02 12:42:33 (Show Source): You can put this solution on YOUR website!A catering service placed an order for eight centerpieces and five glasses, and the bill was \$106. For the wedding reception it was short one centerpiece and six glasses and had to reorder. This order came to \$24. Let x represent the cost of one centerpiece, and let y represent the cost of one glass. Write an equation using x and y that represents the cost of the first order. Let x = cost of a centerpiece Let y = cost of a glass 8x + 4y = 106 ------------------------------------ Write an equation using x and y that represents the cost of the second order. x + 6y = 24 --------------------------- The equations in parts a and b form a system of two linear equations that can be used to determine the cost of a single centerpiece and a single glass. Write this system below. 8x+4y = 106 x + 6y = 24 ---------------------- Solve the system using the substitution method. x = 24-6y 8(24-6y)+4y = 106 8*24 - 48y+4y = 106 44y = 192-106 y = \$1.95 (cost of a glass) Since x = 24-6y , x = \$12.27 (cost of a centerpiece) Use the addition method to check your result in part d. 8x+4y = 106 x + 6y = 24 --- 8x+4y = 106 8x+48y = 8*24 ---- 44y = 86 y = same as above x = same as above ------------------------ Use the solution to the system to determine the cost of 15 centerpieces and 10 glasses. 15*cost of centerpiece + 10*cost of a glass = your answer ================== Cheers, Stan H.
 Probability-and-statistics/264481: A menu offers a choice of 3 salads, 8 main dishes, and 5 desserts. How many different meals consisting of one salad, one main dish, and one dessert are possible? 1 solutions Answer 194712 by stanbon(57214)   on 2010-02-02 12:28:47 (Show Source): You can put this solution on YOUR website!A menu offers a choice of 3 salads, 8 main dishes, and 5 desserts. How many different meals consisting of one salad, one main dish, and one dessert are possible? -------------- Ans 3*8*5 = 120 Cheers, Stan H.
 Linear-equations/264423: How do I find the slope of f(0)=4, f(4)=0?1 solutions Answer 194684 by stanbon(57214)   on 2010-02-02 10:27:38 (Show Source): You can put this solution on YOUR website!How do I find the slope if f(0)=4, f(4)=0? --- You have two points: (0,4) and (4,0) ----- slope = (4-0)/(0-4) = -1 ----- (0,4) is the intercept ----- So y = -x + 4 ================= Cheers, Stan H.
 Rectangles/264428: If all rectangles are parallelograms and all squares are rectangles then what is the correct statement?1 solutions Answer 194683 by stanbon(57214)   on 2010-02-02 10:24:17 (Show Source): You can put this solution on YOUR website!Then all squares are parallograms. Cheers, Stan H.
 Word_Problems_With_Coins/264424: Shannon had three times as many quarters as nickels. She had \$2.40 in all. How many quarters did she have?1 solutions Answer 194682 by stanbon(57214)   on 2010-02-02 10:23:01 (Show Source): You can put this solution on YOUR website!Shannon had three times as many quarters as nickels. She had \$2.40 in all. How many quarters did she have? --- Equations: q = 3n 5n + 25q = 240 ---- Substitute for q and solve for n: 5n + 25(3n) = 240 5n + 75n = 240 80n = 240 n = 3 (number of nickels) ---- Since q = 3n, q = 9 (number of quarters) ========= Cheers, Stan H.
 Probability-and-statistics/264417: The time needed to complete the final examination of MGSC 301 is normally distributed with a mean of 120 minutes and a standard deviation of 12 minutes. a. What is the probability that a student will finish the examination in two hours or more? b. What is the probability that a student will finish the examination in more than 100 minutes but less than 150 minutes? c. What is the probability that a student will finish the examination in more than 140 minutes? 1 solutions Answer 194680 by stanbon(57214)   on 2010-02-02 10:07:41 (Show Source): You can put this solution on YOUR website!The time needed to complete the final examination of MGSC 301 is normally distributed with a mean of 120 minutes and a standard deviation of 12 minutes. a. What is the probability that a student will finish the examination in two hours or more? ---- 2 hrs is 120 minutes which is the mean. P(x>= 120) = 0.5000 ---------------------------- b. What is the probability that a student will finish the examination in more than 100 minutes but less than 150 minutes? z(100) = (100-120)/12 = -20/12 = -1.667 z(150) = (150-120)/12 = 30/12 = 2.5 -- P(100< x < 150) = P(-1.667 < z < 2.5) = 0.9460 ------------------------------- c. What is the probability that a student will finish the examination in more than 140 minutes? z(140) = (140-120)/12 = 1.667 P(z > 140) = P(z> 1.667) = 0.0478 ============== Cheers, Stan H.
 Money_Word_Problems/264418: How long will it take P dollars to triple itself at 10% simple interest? i=prt ? how to I plug this in? thank you1 solutions Answer 194677 by stanbon(57214)   on 2010-02-02 09:49:22 (Show Source): You can put this solution on YOUR website!How long will it take P dollars to triple itself at 10% simple interest? i=prt ? ---- A(t) = P + Prt A(t) = P(1+rt) 3P = P(1+rt) 3 = 1+rt rt = 2 0.10t = 2 t = 2/0.10 t = 20 years ------------------- Cheers, Stan H.
 Rate-of-work-word-problems/264415: Bart can complete his science task twice as quickly as Carl can. When they work together, the task takes 3 hours. How long would it take Carl to do the work alone?1 solutions Answer 194676 by stanbon(57214)   on 2010-02-02 09:45:29 (Show Source): You can put this solution on YOUR website!Bart can complete his science task twice as quickly as Carl can. When they work together, the task takes 3 hours. How long would it take Carl to do the work alone? ---- Bart rate = 1/x job/hr Carl rate = 1/2x job/hr Together rate = 1/3 job/hr ================== Equation: 1/x + 1/2x = 1/3 Multiply thru by 6x to get: 6 + 3 = 2x 2x = 9 x = 4.5 hrs 2x = 9 hrs (time for Carl to do the job alone) -------------------- Cheers, Stan H.
 Rate-of-work-word-problems/264416: It takes Mike 6 hours to paint a house. It takes Jim 4 hours to paint the same house. How long will it take them to paint the house together? 1 solutions Answer 194674 by stanbon(57214)   on 2010-02-02 09:38:34 (Show Source): You can put this solution on YOUR website!It takes Mike 6 hours to paint a house. It takes Jim 4 hours to paint the same house. How long will it take them to paint the house together? --- Mike rate = 1/6 job/hr Jim rate = 1/4 job/hr Together rate = 1/x job/hr ------------------------------- Equation: rate + rate = together rate 1/6 + 1/4 = 1/x Multiply thru by 12x to get: 2x + 3x = 12 5x = 12 x = 2.4 hrs (time it would take to paint the house together x = 2 hr. + 24 minutes =========================== Cheers, Stan H.
 Probability-and-statistics/264375: A lottery ticket has a color: Red or Blue followed by one number among 1, 2 and 7. (a) Specify the sample space for this experiment by listing all possible outcomes. (b) Let A be the event that the number of the ticket is an odd number, and B be the event that the color of the ticket is blue. Specify the three events A, B and (A and B) by listing all the outcomes in each event. (c) Find the probabilities P(A), P(B) and P(A and B). (d) Find the probability P(A or B) . 1 solutions Answer 194671 by stanbon(57214)   on 2010-02-02 09:33:42 (Show Source): You can put this solution on YOUR website!A lottery ticket has a color: Red or Blue followed by one number among 1, 2 and 7. (a) Specify the sample space for this experiment by listing all possible outcomes. R1,R2,R7 B1,B2,B7 ------------ (b) Let A be the event that the number of the ticket is an odd number, and B be the event that the color of the ticket is blue. Specify the three events A, B and (A and B) by listing all the outcomes in each event. A = R1,R7,B1,B7 B = B1,B2,B3 --------------------------- (c) Find the probabilities P(A) = 4/6 P(B) = 3/6 P(A and B) = P(B1,B7) = 2/6 --------------------- (d) Find the probability P(A or B) = 6/6 =============================================== Cheers, Stan H.
 Linear-equations/264411: What is the solution of y= x+4, and y= -2x+ 11 solutions Answer 194669 by stanbon(57214)   on 2010-02-02 09:25:42 (Show Source): You can put this solution on YOUR website!What is the solution of y= x+4, y= -2x+ 1 ----- x + 4 = -2x+1 3x = 3 x = 1 ---- Then y = 1+4 = 5 ---- Solution: (1,5) ================== Cheers, Stan H.
 Geometry_Word_Problems/264407: An ice cube that measures 4.5 centimeters on each side contains how many cubic centimeters of ice?1 solutions Answer 194668 by stanbon(57214)   on 2010-02-02 09:19:47 (Show Source): You can put this solution on YOUR website!An ice cube that measures 4.5 centimeters on each side contains how many cubic centimeters of ice? --- 4.5^3 = 91.125 cm^3 ------------------------ Cheers, Stan H.
 Problems-with-consecutive-odd-even-integers/264406: The smallest of three consecutive integers is 18 less than the sum of the two larger integers. Find the integers1 solutions Answer 194661 by stanbon(57214)   on 2010-02-02 09:12:06 (Show Source): You can put this solution on YOUR website!The smallest of three consecutive integers is 18 less than the sum of the two larger integers. Find the integers --------- 1st: x-1 2nd: x 3rd: x+1 ---------- Inequality: x-1 = 2x+1-18 x-1 = 2x-17 x = 16 x-1 = 15 x+1 = 17 ================ Cheers, Stan H.
 Probability-and-statistics/264403: A group of 10 people consists of 5 men and 5 women. A committee of 4 is chosen from this group. What is the probability that one or more of the committee members is a man?1 solutions Answer 194659 by stanbon(57214)   on 2010-02-02 09:07:25 (Show Source): You can put this solution on YOUR website!A group of 10 people consists of 5 men and 5 women. A committee of 4 is chosen from this group. What is the probability that one or more of the committee members is a man? ----- P(at least one man) = 1 - P(no man) = 1 - [5C0]/10C5] ==== Cheers, Stan H.
 Mixture_Word_Problems/264279: I'm confused on these problems can you show me step by step how to do this? Janet is mixing 15% glucose solution with a 35% glucose solution. This mixture produces 35 liters if a 19% glucose solution. How many liters of each solution is Janet using in the mixture?1 solutions Answer 194577 by stanbon(57214)   on 2010-02-01 21:10:54 (Show Source): You can put this solution on YOUR website!Janet is mixing 15% glucose solution with a 35% glucose solution. This mixture produces 35 liters of a 19% glucose solution. How many liters of each solution is Janet using in the mixture? ----------------------------------------- Equation: glucose + glocose = glucose 0.15x + 0.35(35-x) = 0.19*35 Multiply thru by 100 to get: 15x + 35*35 - 35x = 19*35 -20x = -16*35 x = 28 liters (amount of 15% glucose needed in the mixture) 35-x = 35-28 = 5 liters (amount of 35% glucose needed in the mixture) ======================================================================= Cheers, Stan H.
 Quadratic_Equations/264235: How do get letter alone, example "n" divided by 461 solutions Answer 194557 by stanbon(57214)   on 2010-02-01 20:24:23 (Show Source): You can put this solution on YOUR website!You cannot unless the expression is in a equation. --- Example: n/46 = 2 Multiply both sides by 46 to solve for "n": n = 92 ========================== Cheers, Stan H.
 Trigonometry-basics/264227: What is the number of degrees in an angle whose radian measure is 7pi/12?1 solutions Answer 194556 by stanbon(57214)   on 2010-02-01 20:21:21 (Show Source): You can put this solution on YOUR website!What is the number of degrees in an angle whose radian measure is (7pi/12) --- = (7/12)pi(180/pi) --- = (7/12)180 --- = 105 degrees ================ Cheers, Stan H.
 Trigonometry-basics/264228: i don't really understand how to do this problem. if you could please explain how to do it asap. thank you. Write the equation of the circle in center and radius form. State the center and the radius: x^2+y^2-2x+8y-10=01 solutions Answer 194551 by stanbon(57214)   on 2010-02-01 20:13:49 (Show Source): You can put this solution on YOUR website!Write the equation of the circle in center and radius form. State the center and the radius: x^2+y^2-2x+8y-10=0 --- Complete the square on the x-terms and on the y-terms. ---- x^2 - 2x + ? + y^2 + 8y + ? = -10 + ? --- x^2-2x+1 + y^2+8y+16 = -10+1+16 --- (x-1)^2 + (y+4)^2 = 7 --- Center: (1,-4) Radius: sqrt(7) ====================== Cheers, Stan H.
 decimal-numbers/264226: express the decimal number 4693 as a binary number1 solutions Answer 194549 by stanbon(57214)   on 2010-02-01 20:09:45 (Show Source): You can put this solution on YOUR website!express the decimal number 4693 as a binary number ----------- Where is the decimal point? -------- Cheers, Stan H.