Algebra ->  Tutoring on algebra.com -> See tutors' answers!      Log On

 Tutoring Home For Students Tools for Tutors Our Tutors Register Recently Solved
 By Tutor
| By Problem Number |

Tutor:

# Recent problems solved by 'ewatrrr'

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 , 4740..4769 , 4770..4799 , 4800..4829 , 4830..4859 , 4860..4889 , 4890..4919 , 4920..4949 , 4950..4979 , 4980..5009 , 5010..5039 , 5040..5069 , 5070..5099 , 5100..5129 , 5130..5159 , 5160..5189 , 5190..5219 , 5220..5249 , 5250..5279 , 5280..5309 , 5310..5339 , 5340..5369 , 5370..5399 , 5400..5429 , 5430..5459 , 5460..5489 , 5490..5519 , 5520..5549 , 5550..5579 , 5580..5609 , 5610..5639 , 5640..5669 , 5670..5699 , 5700..5729 , 5730..5759 , 5760..5789 , 5790..5819 , 5820..5849 , 5850..5879 , 5880..5909 , 5910..5939 , 5940..5969 , 5970..5999 , 6000..6029 , 6030..6059 , 6060..6089 , 6090..6119 , 6120..6149 , 6150..6179 , 6180..6209 , 6210..6239 , 6240..6269 , 6270..6299 , 6300..6329 , 6330..6359 , 6360..6389 , 6390..6419 , 6420..6449 , 6450..6479 , 6480..6509 , 6510..6539 , 6540..6569 , 6570..6599 , 6600..6629 , 6630..6659 , 6660..6689 , 6690..6719 , 6720..6749 , 6750..6779 , 6780..6809 , 6810..6839 , 6840..6869 , 6870..6899 , 6900..6929 , 6930..6959 , 6960..6989 , 6990..7019 , 7020..7049 , 7050..7079 , 7080..7109 , 7110..7139 , 7140..7169 , 7170..7199 , 7200..7229 , 7230..7259 , 7260..7289 , 7290..7319 , 7320..7349 , 7350..7379 , 7380..7409 , 7410..7439 , 7440..7469 , 7470..7499 , 7500..7529 , 7530..7559 , 7560..7589 , 7590..7619 , 7620..7649 , 7650..7679 , 7680..7709 , 7710..7739 , 7740..7769 , 7770..7799 , 7800..7829 , 7830..7859 , 7860..7889 , 7890..7919 , 7920..7949 , 7950..7979 , 7980..8009 , 8010..8039 , 8040..8069 , 8070..8099 , 8100..8129 , 8130..8159 , 8160..8189 , 8190..8219 , 8220..8249 , 8250..8279 , 8280..8309 , 8310..8339 , 8340..8369 , 8370..8399 , 8400..8429 , 8430..8459 , 8460..8489 , 8490..8519 , 8520..8549 , 8550..8579 , 8580..8609 , 8610..8639 , 8640..8669 , 8670..8699 , 8700..8729 , 8730..8759 , 8760..8789 , 8790..8819 , 8820..8849 , 8850..8879 , 8880..8909 , 8910..8939 , 8940..8969 , 8970..8999 , 9000..9029 , 9030..9059 , 9060..9089 , 9090..9119 , 9120..9149 , 9150..9179 , 9180..9209 , 9210..9239 , 9240..9269 , 9270..9299 , 9300..9329 , 9330..9359 , 9360..9389 , 9390..9419 , 9420..9449 , 9450..9479 , 9480..9509 , 9510..9539 , 9540..9569 , 9570..9599 , 9600..9629 , 9630..9659 , 9660..9689 , 9690..9719 , 9720..9749 , 9750..9779 , 9780..9809 , 9810..9839 , 9840..9869 , 9870..9899 , 9900..9929 , 9930..9959 , 9960..9989 , 9990..10019 , 10020..10049 , 10050..10079 , 10080..10109 , 10110..10139 , 10140..10169 , 10170..10199 , 10200..10229 , 10230..10259 , 10260..10289 , 10290..10319 , 10320..10349 , 10350..10379 , 10380..10409 , 10410..10439 , 10440..10469 , 10470..10499 , 10500..10529 , 10530..10559 , 10560..10589 , 10590..10619 , 10620..10649 , 10650..10679, >>Next

 Polygons/406772: Find the number of diagonals for a polygon with N sides. IF N=551 solutions Answer 286942 by ewatrrr(10682)   on 2011-02-09 13:53:48 (Show Source): You can put this solution on YOUR website!``` Hi Note: # of Diagonals = n(n-3)/2 Recommend putting info like this on a 'condensed' fact sheet. n = 55 55(52)/2 = 1430 ```
 Probability-and-statistics/406752: Please help me with these as I am desperate....I am trying to teach myself statistics and it is not working. 2. Given a level of confidence of 95% and a population standard deviation of 6, answer the following: (A) What other information is necessary to find the sample size (n)? (B) Find the Maximum Error of Estimate (E) if n = 84. Show all work. 3. A sample of 134 golfers showed that their average score on a particular golf course was 93.23 with a standard deviation of 6.25. Answer each of the following (show all work and state the final answer to at least two decimal places.): (A) Find the 98% confidence interval of the mean score for all 134 golfers. (B) Find the 98% confidence interval of the mean score for all golfers if this is a sample of 110 golfers instead of a sample of 134. (C) Which confidence interval is larger and why? (Points : 6) 5. The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.91 inches and a standard deviation of 0.52 inches. Show all work. (A) What percentage of the grapefruits in this orchard is larger than 5.86 inches? (B) A random sample of 100 grapefruits is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 5.86 inches? 6. A researcher is interested in estimating the noise levels in decibels at area urban hospitals. She wants to be 98% confident that her estimate is correct. If the standard deviation is 5.09, how large a sample is needed to get the desired information to be accurate within 0.57 decibels? Show all work. (Points : 6) 1 solutions Answer 286931 by ewatrrr(10682)   on 2011-02-09 13:23:24 (Show Source): You can put this solution on YOUR website! ``` Hi Understand completely, recall there was a time I was self taught on most ALL early math at any rate: (country school:) Might recommend checking out the statistic's section on this site: great learning tool selecting previous questions answered, of interest to You. 2. Given a level of confidence of 95% and a population standard deviation of 6, answer the following: (A) What other information is necessary to find the sample size (n)? confidence interval or 'margin of error' (B) Find the Maximum Error of Estimate (E) if n = 84. Show all work. ME = 1.96[6/sqrt(84)] 3. A sample of 134 golfers showed that their average score on a particular golf course was 93.23 with a standard deviation of 6.25. Answer each of the following (show all work and state the final answer to at least two decimal places.): (A) Find the 98% confidence interval of the mean score for all 134 golfers. ME = 2.3263[6.25/sqrt(134)] CI: 93.23- ME < u < 93.23 + ME (B) Find the 98% confidence interval of the mean score for all golfers if this is a sample of 110 golfers instead of a sample of 134. ME = 2.3263[6.25/sqrt(110)] CI: 93.23- ME < u < 93.23 + ME (C) Which confidence interval is larger and why? (Points : 6) Note: the Larger the sample size, the smaller ME is and therefore the confidence interval is larger with the smaller sample size. 5. The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.91 inches and a standard deviation of 0.52 inches. Show all work. (A) What percentage of the grapefruits in this orchard is larger than 5.86 inches? z = 5.86-5.91 /.52 = -.05/.52 = -.0962 P(z > -.0962) = 1 - .4617 = .5383 53.83% (B) A random sample of 100 grapefruits is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 5.86 inches? z = -.05/ .52/sqrt(100) = -.05 /.052 = .9615 P(z > -.9615) = 1 -.16815 = .83185 83.185% Folowing is a summary of Levels of Confidence & their critical regions a a/2 crtical regions 90% 10 5% z <-1.645 z >+1.645 95% 5 2.50% z <-1.96 z >+1.96 98% 2 1% z <-2.33 z >+2.33 99% 1 0.50% z<-2.575 z >+2.575 ```
 Polynomials-and-rational-expressions/406747: hi, i have worked this problem out three different ways and still come up with a decimal answer, so i think it is wrong. would you please check it? (2t+3)/(6)-(t-9)/(4) = 5 i used 12 as the common demoninator and multiplied both side by it 2(2t+3)-3(t-9)=60 4t+6-3t-(27) = 60 37t-3t=60 (like terms) added 34 to both sides (37t)/(37t) = t somewhere i forgot to write out the answer since i rewrote this three times t - 8.4 i am so lost, would you please help me 1 solutions Answer 286925 by ewatrrr(10682)   on 2011-02-09 12:41:21 (Show Source): You can put this solution on YOUR website! ``` Hi (2t+3)/(6)-(t-9)/(4) = 5 i used 12 as the common demoninator and multiplied both side by it 2(2t+3)-3(t-9)=60 4t+6-3t+(27) = 60 |Good work. However 'watch the signs' t + 33 = 60 |combining like terms (this is where it went...wrong) t = 27 CHECKING our Answer*** 57/6 - 18/4 = 9.5 - 4.5 = 5 ```
 Linear-systems/406744: Solve system of equations X+3y-2z=-9 6x-4y+3z=29 2x+2y+z=131 solutions Answer 286923 by ewatrrr(10682)   on 2011-02-09 12:31:06 (Show Source): You can put this solution on YOUR website! ``` Hi I. x+3y-2z=-9 II. 6x-4y+3z=29 III. 2x+2y+z=13 solving by elimination I and III x+3y-2z=-9 4x+4y+2z=26 5x + 7y = 17 II and III 6x-4y+3z=29 -6x-6y-3z=-39 -10y = -10 y = 1 and x = 2 | 5x = 17-7y, x = 10/5 x+3y-2z=-9 OR x+3y+9 = 2z 14 = 2z z = 7 ```
 Mixture_Word_Problems/406743: A merchant blends tea that sells for \$5.00 a pound with tea that sells for \$2.50 a pound to produce 50 lb of a mixture that sells for \$3.00 a pound. How many pounds of each type of tea does the merchant use in the blend?1 solutions Answer 286922 by ewatrrr(10682)   on 2011-02-09 12:21:14 (Show Source): You can put this solution on YOUR website! ``` Hi produce 50 lb of a mixture Let x and (50-x)represent the amount of the 5\$ and \$2.50 mixtures respectively Question states*** Mixing 5x + 2.50(50-x) =3*50 Solving for x 2.50x = .50*50 x = .50*50/2.50 x = 10lb, the amount of the \$5/lb tea. 40lb of \$2.50/lb tea. CHECKING our Answer*** 50 + 100 = 150 ```
 Points-lines-and-rays/406742: The line is perpendicular to 3x - 2y =  10 and passes through the point (1, 1).1 solutions Answer 286921 by ewatrrr(10682)   on 2011-02-09 12:15:53 (Show Source): You can put this solution on YOUR website! ``` Hi 3x - 2y = 10 OR y = (1/2)x - 5 |m = -2 is slope of line ⊥ to it New Line: y = -2x + b |using order pair Pt(1,1) to solve for b 1 = -2 + b 3 = b y = -2x + 3 ```
 Mixture_Word_Problems/406731: How many liters of a 10% salt solution must be mixed with 15 liters of a 40% salt solution to obtain a 20% salt solution? I have no idea how to set this eqaution up1 solutions Answer 286920 by ewatrrr(10682)   on 2011-02-09 12:10:27 (Show Source): You can put this solution on YOUR website! ``` Hi Let x represent represent the amount of 10% solution Question states*** Mixing together to form (15L+x) 20% solution .10x + .40*15L = .20(15L+x) Solving for x .20*15L = .10x .20*15L/.10 = x = 30L, the amount of the 10% solution CHECKING our Answer*** 3 + 6 = .20*45 = 9 ```
 Linear-equations/406723: If one line has a slope of −3 and another has a slope of 2, which line is steeper? Why?1 solutions Answer 286919 by ewatrrr(10682)   on 2011-02-09 12:01:54 (Show Source): You can put this solution on YOUR website! ``` Hi, Line with slope of -3 is the 'steeper line'. Note: m = 2/1 is the blue line m = -3/1 is the green line m = -5/1 the purple line In each case, regardless of the 'way' the line slants, the slope tells us how much y changes as x changes by one unit. The numerator of the slope reflects 'the change in y' the larger that numerator is relative to the denominator('the change in x') The steeper the line slants. ```
 test/406690: If you need immediate math help from PAID TUTORS right now, click here. (paid link) Click here to see ALL problems on test Question 406682: 10 questions? PLEASE HELP ME SOLVE THESE. THANKYOU. Instructions: Solve each equation. Change fractions to decimals. Enter only the numerical answer in the blank. 1. 7x+3=15x+9 Answer: 2. (1/2)=(2/3)b+(1/6)b Answer: 3. 0.3a+0.7=0.5a-0.1 Answer: 4. 2n-5=8n+7 Answer: 5. 3+4x=3x+6 Answer: 6. 5(2w-4)=6w Answer: 7. FOR THE FOLLOWING PROBLEMS, DO NOT INCLUDE UNITS YOUR ANSWERS. Suppose you hike up a hill at 4km/h. You hike down at 6km/h. Your hiking trip took 3 hours. How much did it take you to hike up the hill. ENTER YOUR DECIMAL AS A DECIMAL. 8. The length of a rectangle is 8in. More than its width. The perimeter of the rectangle is 24in. What is the width of the rectangle? 9. The sum of two consequative EVEN integers is 118. what is the LESSER of the two integers. 10. You and your brother started biking at noon from places that are 52 mi apart. You rode toward eachother and met at 2:00PM. Your brothers average speed was 4mi/h faster than your average speed. What is your BROTHERS speed? Thankyou guys for your help! The last person made it complicated. 1 solutions Answer 286916 by ewatrrr(10682)   on 2011-02-09 11:46:30 (Show Source): You can put this solution on YOUR website! ``` Hi, previously posted recommend showing what work you have done and posting only 1 or 2 two questions that are similar in content. "I hope You get to this fast" ...must admit, did put a smile in my heart. :) 1. 7x+3=15x+9 | 8x = -6 |finish to decimal answer 2. (1/2)=(2/3)b+(1/6)b | b = (6/5)*(1/2) |finish to decimal answer 3. 0.3a+0.7=0.5a-0.1 | .8/.2 = a |finish to decimal answer 4. 2n-5=8n+7 | 6n = -12 |finish it up 5. 3+4x=3x+6 |x = 3 6. 5(2w-4)=6w | 4w = 20 |finish it up 7. hike up a hill at 4km/hr.. hike down at 6km/hr. hiking trip took 3 hours. 4kmp*t = 6kmph*(3hr-t) | 10t = 18 |finish it up, t is time uphill 8. length of a rectangle is 8in. More than its width. P = 24in 2x + 2(x+8) = 24in | 4x = 8in |finish it up, x is the width 9. The sum of two consecutive EVEN integers is 118 x + (x+2) = 118 | 2x = 116 |finish it up, x is the lesser integer 10. Your brothers average speed was 4mi/h faster than your average speed. together they rode 52mi towards each other and met in 2hrs. 2x + 2(x-4mph) = 52mi | 4x = 60 |finish it up, x is the brother's speed ```
 Polynomials-and-rational-expressions/406706: I have worked this out but am not sure if it is right. Would you please check it? (fractions) (3)/(4)n-(1)/(12)n = 6 (3n)/(4)-(1n)/12) = 6 (12(3n)-4n)/(12) (36n-4n)/(12) (32n)/(12)=32 muliply both sides by 12 (32n)/(32n) = (384)/(32) n = 12 1 solutions Answer 286915 by ewatrrr(10682)   on 2011-02-09 11:43:10 (Show Source): You can put this solution on YOUR website! ``` Hi n = 1/9 CHECKING our Answer*** 3 /4/9 - 1/12/9 = 6 3*9/4 - 9/12 = 6 27/4 - 3/4 = 24/4 = 6 ```
 test/406701: Someone answer this(: What is the best TIP you would give to a student who doesn't understand how to Solve Equations? Thankyou guys. This is another 10 pt question/:1 solutions Answer 286912 by ewatrrr(10682)   on 2011-02-09 11:10:19 (Show Source): You can put this solution on YOUR website! ``` Hi My recommendation for linear equations is to 'focus' on isolating the variable on one side of the equation and take the steps that are allowable to accomplish that. For example: Doing allowable steps is for the 'sole purpose' of isolating x 2(x+5) - 4 = 5x + 6(x-1) |remove parenthsis by applying distributive principle 2x + 10 - 4 = 5x + 6x - 6 |combining like terms on both sides 2x + 6 = 11x - 6 |adding 6 to both sides of equation to combine like terms 2x + 12 = 11x |subtracting 2x from both sides to combine like terms 12 = 9x |dividing both sides of equation by 9 to finish! 12/9 = x OR x = 1 1/3 ```
 Probability-and-statistics/406702: One card is selected from a deck of playing cards. What is the probability of selecting a card greater than 9 or a black card?1 solutions Answer 286910 by ewatrrr(10682)   on 2011-02-09 10:58:34 (Show Source): You can put this solution on YOUR website! ``` Hi One card is selected from a deck of playing cards. What is the probability of selecting a card >9 or a black card? 5 in each suit >9 (10,jack,queen,king,ace) P(>9 'or' black) = P(> 9) + P(black) - P(both >9 and black) P(>9 'or' black) = 20/52 + 26/52 - 10/52 = 36/50 ```
 Probability-and-statistics/406698: Living expenses Exler’s monthly living expenses for 1 year are as follow \$1000 \$850 \$1370 \$1400 1900 850 1350 1250 1600 900 1110 1230 When appropriate, round answer to the nearest cent Determine: (a) Mean (b) Median (c) Mode (d) midrange 1 solutions Answer 286909 by ewatrrr(10682)   on 2011-02-09 10:51:36 (Show Source): You can put this solution on YOUR website! ``` Hi (a) Mean = \$14,810/13 = \$1234.17 (b) Median = 1240 |(1250...1230) (c) Mode = 850 |occurs most frequently (d) midrange = 1375 |(850 + 1900)/2 850 900 1000 1110 1230 1250 1350 1370 1400 1600 1900 ```
 Geometry_Word_Problems/406697: if you double the width of a square, how much does the area of the square increase?1 solutions Answer 286908 by ewatrrr(10682)   on 2011-02-09 10:39:32 (Show Source): You can put this solution on YOUR website! ``` Hi if you double the width of a square, how much does the area of the square increase? width x, then A = x^2 width 2x, then A = 4x^2 ```
 Probability-and-statistics/406695: The numbers of people waiting in the emergency clinic of a small health care facility were randomly counted thirty-five times. Using the data below and the appropriate formula, set up a 95% confidence interval for the mean number of people waiting in emergency. 11 12 13 13 14 14 14 15 17 16 16 17 17 16 15 15 18 19 16 16 18 17 17 18 17 16 16 16 15 9 10 18 14 11 9 (where x and s are calculated from the sample data, n = 35 and z = 1.96) Remember to show all your work and round your final answer to the nearest whole number. 1 solutions Answer 286907 by ewatrrr(10682)   on 2011-02-09 10:36:55 (Show Source): You can put this solution on YOUR website! ``` Hi entering the data in an Excel Cloumn and used the stat tool found: = 2.623423897 and mean = 15 ME = 1.96*2.6234/sqrt(35) = 5.9161 CI: 15-5.9161 < u < 15+ 5.9161 ```
 test/406682: 10 questions? PLEASE HELP ME SOLVE THESE. THANKYOU. Instructions: Solve each equation. Change fractions to decimals. Enter only the numerical answer in the blank. 1. 7x+3=15x+9 Answer: 2. (1/2)=(2/3)b+(1/6)b Answer: 3. 0.3a+0.7=0.5a-0.1 Answer: 4. 2n-5=8n+7 Answer: 5. 3+4x=3x+6 Answer: 6. 5(2w-4)=6w Answer: 7. FOR THE FOLLOWING PROBLEMS, DO NOT INCLUDE UNITS YOUR ANSWERS. Suppose you hike up a hill at 4km/h. You hike down at 6km/h. Your hiking trip took 3 hours. How much did it take you to hike up the hill. ENTER YOUR DECIMAL AS A DECIMAL. 8. The length of a rectangle is 8in. More than its width. The perimeter of the rectangle is 24in. What is the width of the rectangle? 9. The sum of two consequative EVEN integers is 118. what is the LESSER of the two integers. 10. You and your brother started biking at noon from places that are 52 mi apart. You rode toward eachother and met at 2:00PM. Your brothers average speed was 4mi/h faster than your average speed. What is your BROTHERS speed? Thankyou guys for your help! I hope you get to this fast,1 solutions Answer 286902 by ewatrrr(10682)   on 2011-02-09 10:12:18 (Show Source): You can put this solution on YOUR website! ``` Hi, recommend showing what work you have done and posting only 1 or 2 two questions that are similar in content. "I hope You get to this fast" ...must admit, did put a smile in my heart. :) 1. 7x+3=15x+9 | 8x = -6 |finish to decimal answer 2. (1/2)=(2/3)b+(1/6)b | b = (6/5)*(1/2) |finish to decimal answer 3. 0.3a+0.7=0.5a-0.1 | .8/.2 = a |finish to decimal answer 4. 2n-5=8n+7 | 6n = -12 |finish it up 5. 3+4x=3x+6 |x = 3 6. 5(2w-4)=6w | 4w = 20 |finish it up 7. hike up a hill at 4km/hr.. hike down at 6km/hr. hiking trip took 3 hours. 4kmp*t = 6kmph*(3hr-t) | 10t = 18 |finish it up, t is time uphill 8. length of a rectangle is 8in. More than its width. P = 24in 2x + 2(x+8) = 24in | 4x = 8in |finish it up, x is the width 9. The sum of two consecutive EVEN integers is 118 x + (x+2) = 118 | 2x = 116 |finish it up, x is the lesser integer 10. Your brothers average speed was 4mi/h faster than your average speed. together they rode 52mi towards each other and met in 2hrs. 2x + 2(x-4mph) = 52mi | 4x = 60 |finish it up, x is the brother's speed ```
 Exponents-negative-and-fractional/406675: How do you subract with fractional exponents? 2 5/2 - 2 3/21 solutions Answer 286898 by ewatrrr(10682)   on 2011-02-09 09:38:05 (Show Source): You can put this solution on YOUR website! ``` Hi How do you subract with fractional exponents? 2 5/2 - 2 3/2 Recommend using the improper fraction format: 9/2 - 7/2 = 2/2 = 1 ```
 Polynomials-and-rational-expressions/406679: Hi. I pretty much have the answer for these problems that I worked out just need to know if there right. Thank you all! 16√27 + 7√108 = 90√3 16√9√3 + 7√36√3 16 . 3√3 + 7 . 6√3 (48 +42)√3 90√3; And √600x^4 = √100 . √x^2 . √6 = 10x^2√6 1 solutions Answer 286896 by ewatrrr(10682)   on 2011-02-09 09:34:51 (Show Source): You can put this solution on YOUR website! ``` Hi, good work. 16√27 + 7√108 = 90√3 16√9√3 + 7√36√3 16 . 3√3 + 7 . 6√3 (48 +42)√3 90√3 |yes, right on track! √600x^4 = √100 . √x^4 . √6 = 10x^2√6 |note: 'x^4'.. until actually taking the square root when showing your work. ```
 Systems-of-equations/406673: My question is...solve for x, y, z. 2x+5y+z=22 3x-3y-z=-22 5x+y+2z=-3 I have... 2x+5y+z=22 -4x-10y-2z=44 45x+18y=0 3x-3y-z=-22 5x+ y+ 2z=-3 10x-18y=-41 ___________ ____________ __________ 5x+2y =0 5x-9y =41 I keep coming up with a fractionfor the last step.1 solutions Answer 286894 by ewatrrr(10682)   on 2011-02-09 09:28:31 (Show Source): You can put this solution on YOUR website! ``` Hi 2x+5y+z=22 3x-3y-z=-22 5x+y+2z=-3 Solving by elimination 2x+5y+z=22 3x-3y-z=-22 5x + 2y = 0 6x-6y+2z=-44 5x+y+2z=-3 11x - 5y = -47 5x + 2y = 0 11x - 5y = -47 25x + 10y = 0 22x - 10y = -94 47x = -94 x = -2 and y = 5 ( 5x + 2y = 0, y = -5x/2= 10/2) AND z = 22-2x-5y = 1 ```
 Exponential-and-logarithmic-functions/406670: Rewrite as a logarithmic equation e^y=31 solutions Answer 286888 by ewatrrr(10682)   on 2011-02-09 08:59:36 (Show Source): You can put this solution on YOUR website! ``` Hi e^y=3 ln(3) = y ```
 Unit_Conversion_Word_Problems/406283: 1/8 MPH is how many feet per minute1 solutions Answer 286740 by ewatrrr(10682)   on 2011-02-08 16:35:13 (Show Source): You can put this solution on YOUR website! ``` Hi (1/8)mi = (1/8)5280ft = 660ft 660ft/hr = 660/60min = 11ft/min ```
 Trigonometry-basics/406251: I really need help!!!!! In 1987 17.6% of high school grades for college freshman consisted of A's (A+, A, or A-). On average, this has increased by approximately 0.83% per year. Write a formula for the nth term of the arthmetric sequence that models the percentage of high school grades of A for college freshman n years after 1967. B.trends shows by the model in part (a) continue, what percentage of high school grades for college freshman will consist in 2018?1 solutions Answer 286738 by ewatrrr(10682)   on 2011-02-08 16:29:22 (Show Source): You can put this solution on YOUR website! ``` Hi | 1968 -1987 |1968-2018 ```
 Linear-equations/406255: Find an equation for the line with the given properties. perpendicular to the line y=1/9x+2; containing the point (3,-3)1 solutions Answer 286737 by ewatrrr(10682)   on 2011-02-08 16:14:21 (Show Source): You can put this solution on YOUR website! ``` Hi y = (1/9)x+2 |slope of ⊥ line would be -9 (negative reciprocal of 1/9 ) New Line y = -9x + b |using ordered pair Pt(3,-3) mto solve for b -3 = -27 + b 24 = b y = -9x + 24 ```
 Surface-area/406264: Yo whats the answer and formula to find out the suface of a Cylinder with a hieght of 8cm ad a radius of 6cm1 solutions Answer 286736 by ewatrrr(10682)   on 2011-02-08 16:07:52 (Show Source): You can put this solution on YOUR website! ``` Hi r = 6cm and h = 8cm S = = 72*pi cm^2 + 96*pi cm^2 |surface area for top and bottom and side S = 168*pi cm^2 ```
 test/406257: SCALE DRAWINGS: Hello, I have a question and it is on my homeowork. My math teacher never tought us this way of a problem. Please show your work so that I may understand how you got your answer. 1.) From head to tail, the length of a T-Rex is about 40 feet. You want to design a toy of this dinosaur with a scale of 1 inch : 8 feet.How long is your toy? 2.) The length of a wall in a floor plan is 6 1/2 inches. The actual wall is 78 feet long. Find the scale of the floor plan. 3.) The height of a building is 3 3/8 inches on a scale drawing. Find the actual height of the building if the scale used is 1 inch: 4 feet AND HERE IS A stretch your thinking problem IF YOU WOULD LIKE TO DO IT FOR FUN! 111+333+777+999 In this problem, replace five of the digits with 0's so that the sum equals 1,111 PLEASE HELP ME AND PLEASE SHOW YOUR WORK THANKS! :) 1 solutions Answer 286733 by ewatrrr(10682)   on 2011-02-08 15:59:51 (Show Source): You can put this solution on YOUR website! ``` Hi using Proportions to determine drawings to scale: 1) 1"/(8') = x/40' |cross multiply to solve 8x = 40 x = 5" 2) 6.5"/78' = 1/x 6.5x = 78 x = 12' Scale 1":12' 3) (27/8)"/x = 1"/4' x= (27/8)*4 = 27/2 = 13.5' If I am understanding the question properly :) 111+333+777+999: replace five of the digits with 0's so that the sum equals 1,111 333 + 777 = 1,110 1,110 + 001 + 000 = 1,111 ```
 Trigonometry-basics/406254: I really need help!!!!! A theater has 30 seats in the first row, 32 seats in the second row, increasing by 2 seat per row for a total of 26 rows .How many seats are there in the theater.1 solutions Answer 286730 by ewatrrr(10682)   on 2011-02-08 15:44:25 (Show Source): You can put this solution on YOUR website! ``` Hi Question relates to a Arithmetic Sequence {30,32,34...} where d = 2 and the terms are the enumber of seats in each row. |Sum of the seats in the 26 rows. = 1430 seats in the ALL 26 rows ```
 Travel_Word_Problems/406248: a car travels 66 kilometers in 3 hours, what is its speed?1 solutions Answer 286728 by ewatrrr(10682)   on 2011-02-08 15:37:41 (Show Source): You can put this solution on YOUR website! ``` Hi 66km/3hr = 22kmph ```
 Travel_Word_Problems/406189: A boat can travel 5 mile upstream and 5 miles downstream in a total of 6 hours. If the speed of the current is 2 mph, what is the speed of the boat in still water?1 solutions Answer 286721 by ewatrrr(10682)   on 2011-02-08 14:48:32 (Show Source): You can put this solution on YOUR website! ``` Hi speed of the current is 2 mph Let (x+2mph) and (x-2mph) represent the speed of the boat down and upstream respectively, D = r*t OR t = D/r Question states*** (total time up and down is 6 hr) 5/(x+2) + 5/(x-2) = 6 |multiplying thru by (x+2)(x-2) 5(x+2) + 5(x-2)=6(x+2)(x-2) 10x = 6(x^2 - 4) 6x^2 -10x - 24 = 0 2(3x^2 -5x - 12) = 0 (3x^2 -5x - 12)= 0 factoring (3x +4)(x-3)= 0 Note:SUM of the inner product(4x) and the outer product(-9x) = -5x (3x +4)= 0 |tossing out negative solution for speed (x-3)= 0 x = 3mph, speed of boat in still water CHECKING our Answer*** 5/5 + 5/1 = 6hr ```
 Linear-systems/406188: 10x-7=4x-251 solutions Answer 286717 by ewatrrr(10682)   on 2011-02-08 14:34:35 (Show Source): You can put this solution on YOUR website! ``` Hi 10x-7=4x-25 Solving for x 6x = -18 x = -3 ```
 Functions/406206: evaluate the function rule for the given value. y=12*3^x for x=41 solutions Answer 286716 by ewatrrr(10682)   on 2011-02-08 14:32:07 (Show Source): You can put this solution on YOUR website! ``` Hi y=12*3^x for x=4 y = 12*3^4 = 972 ```
 Polynomials-and-rational-expressions/406198: What are the factors to the polynomial: f(x)= x^3+2x^2-13x+10 ? and what are the factors to this polynomial: f(x)= 2x^4+6x^3-2x^2-6x and lastly the factors to this polynomial: |factored (x^2+2x-3) 1 solutions Answer 286714 by ewatrrr(10682)   on 2011-02-08 14:30:18 (Show Source): You can put this solution on YOUR website! ``` Hi f(x)= x^3+2x^2-13x+10 x^3+2x^2-13x+10 =0 |Determined x = 1 a root, thus (x-1) a factor f(x)= (x-1)(x^2+3x-10) |divided (x^3+2x^2-13x+10) by (x-1) f(x)= (x-1)(x+5)(x-2) |factored (x^2+3x-10) Note:SUM of the inner product(5x) and the outer product(-2x) = 3x f(x)= 2x^4+6x^3-2x^2-6x f(x)= 2x(x^3+3x^2-x-3) |factoring out the 2x (x^3+3x^2-x-3) = 0 |Determined x = -1 a root, thus (x+1) a factor f(x)= 2x(x+1)(x^2+2x-3) |divided (x^3+3x^2-x-3)by (x+1) f(x)= 2x(x+1)(x+3)(x-1) |factored (x^2+2x-3) Note:SUM of the inner product(3x) and the outer product(-x) = 2x (x^2+2x-3)=(x+3)(x-1) ```