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 '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 , 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 , 10680..10709 , 10710..10739 , 10740..10769 , 10770..10799 , 10800..10829 , 10830..10859 , 10860..10889 , 10890..10919 , 10920..10949 , 10950..10979 , 10980..11009 , 11010..11039 , 11040..11069 , 11070..11099 , 11100..11129 , 11130..11159 , 11160..11189 , 11190..11219 , 11220..11249 , 11250..11279 , 11280..11309 , 11310..11339 , 11340..11369 , 11370..11399 , 11400..11429 , 11430..11459 , 11460..11489 , 11490..11519 , 11520..11549 , 11550..11579 , 11580..11609 , 11610..11639 , 11640..11669 , 11670..11699 , 11700..11729 , 11730..11759 , 11760..11789 , 11790..11819 , 11820..11849 , 11850..11879 , 11880..11909 , 11910..11939 , 11940..11969 , 11970..11999 , 12000..12029 , 12030..12059 , 12060..12089 , 12090..12119 , 12120..12149 , 12150..12179 , 12180..12209 , 12210..12239 , 12240..12269 , 12270..12299 , 12300..12329 , 12330..12359 , 12360..12389 , 12390..12419 , 12420..12449 , 12450..12479 , 12480..12509 , 12510..12539 , 12540..12569 , 12570..12599 , 12600..12629 , 12630..12659 , 12660..12689 , 12690..12719 , 12720..12749 , 12750..12779 , 12780..12809 , 12810..12839 , 12840..12869 , 12870..12899 , 12900..12929 , 12930..12959 , 12960..12989 , 12990..13019 , 13020..13049 , 13050..13079 , 13080..13109 , 13110..13139 , 13140..13169 , 13170..13199 , 13200..13229 , 13230..13259 , 13260..13289 , 13290..13319 , 13320..13349 , 13350..13379 , 13380..13409 , 13410..13439 , 13440..13469 , 13470..13499 , 13500..13529 , 13530..13559 , 13560..13589 , 13590..13619 , 13620..13649 , 13650..13679 , 13680..13709 , 13710..13739 , 13740..13769 , 13770..13799 , 13800..13829 , 13830..13859 , 13860..13889 , 13890..13919 , 13920..13949 , 13950..13979 , 13980..14009 , 14010..14039 , 14040..14069 , 14070..14099 , 14100..14129 , 14130..14159 , 14160..14189 , 14190..14219 , 14220..14249 , 14250..14279 , 14280..14309 , 14310..14339 , 14340..14369 , 14370..14399 , 14400..14429 , 14430..14459 , 14460..14489 , 14490..14519 , 14520..14549 , 14550..14579 , 14580..14609 , 14610..14639 , 14640..14669 , 14670..14699 , 14700..14729 , 14730..14759 , 14760..14789 , 14790..14819 , 14820..14849 , 14850..14879 , 14880..14909 , 14910..14939 , 14940..14969 , 14970..14999 , 15000..15029 , 15030..15059 , 15060..15089 , 15090..15119 , 15120..15149 , 15150..15179 , 15180..15209 , 15210..15239 , 15240..15269 , 15270..15299 , 15300..15329 , 15330..15359 , 15360..15389 , 15390..15419 , 15420..15449 , 15450..15479 , 15480..15509 , 15510..15539 , 15540..15569 , 15570..15599 , 15600..15629 , 15630..15659 , 15660..15689 , 15690..15719 , 15720..15749 , 15750..15779 , 15780..15809 , 15810..15839 , 15840..15869 , 15870..15899 , 15900..15929 , 15930..15959 , 15960..15989 , 15990..16019 , 16020..16049 , 16050..16079 , 16080..16109 , 16110..16139 , 16140..16169 , 16170..16199 , 16200..16229 , 16230..16259 , 16260..16289 , 16290..16319 , 16320..16349 , 16350..16379 , 16380..16409 , 16410..16439 , 16440..16469 , 16470..16499 , 16500..16529 , 16530..16559 , 16560..16589 , 16590..16619 , 16620..16649 , 16650..16679 , 16680..16709 , 16710..16739 , 16740..16769 , 16770..16799 , 16800..16829 , 16830..16859 , 16860..16889 , 16890..16919 , 16920..16949 , 16950..16979 , 16980..17009 , 17010..17039 , 17040..17069 , 17070..17099 , 17100..17129 , 17130..17159 , 17160..17189 , 17190..17219 , 17220..17249 , 17250..17279 , 17280..17309 , 17310..17339 , 17340..17369 , 17370..17399 , 17400..17429 , 17430..17459 , 17460..17489 , 17490..17519 , 17520..17549 , 17550..17579 , 17580..17609 , 17610..17639 , 17640..17669 , 17670..17699 , 17700..17729 , 17730..17759 , 17760..17789 , 17790..17819 , 17820..17849 , 17850..17879 , 17880..17909 , 17910..17939 , 17940..17969 , 17970..17999 , 18000..18029 , 18030..18059 , 18060..18089 , 18090..18119 , 18120..18149 , 18150..18179 , 18180..18209 , 18210..18239 , 18240..18269 , 18270..18299 , 18300..18329 , 18330..18359 , 18360..18389 , 18390..18419 , 18420..18449 , 18450..18479 , 18480..18509 , 18510..18539 , 18540..18569 , 18570..18599 , 18600..18629 , 18630..18659 , 18660..18689 , 18690..18719 , 18720..18749 , 18750..18779 , 18780..18809 , 18810..18839 , 18840..18869 , 18870..18899 , 18900..18929 , 18930..18959 , 18960..18989 , 18990..19019 , 19020..19049 , 19050..19079 , 19080..19109 , 19110..19139 , 19140..19169 , 19170..19199 , 19200..19229 , 19230..19259 , 19260..19289 , 19290..19319 , 19320..19349 , 19350..19379 , 19380..19409 , 19410..19439 , 19440..19469 , 19470..19499 , 19500..19529 , 19530..19559 , 19560..19589 , 19590..19619 , 19620..19649 , 19650..19679 , 19680..19709 , 19710..19739 , 19740..19769 , 19770..19799 , 19800..19829 , 19830..19859 , 19860..19889 , 19890..19919 , 19920..19949 , 19950..19979 , 19980..20009 , 20010..20039 , 20040..20069 , 20070..20099 , 20100..20129 , 20130..20159 , 20160..20189 , 20190..20219 , 20220..20249 , 20250..20279 , 20280..20309 , 20310..20339 , 20340..20369 , 20370..20399 , 20400..20429 , 20430..20459 , 20460..20489 , 20490..20519 , 20520..20549 , 20550..20579 , 20580..20609 , 20610..20639 , 20640..20669 , 20670..20699 , 20700..20729 , 20730..20759 , 20760..20789 , 20790..20819 , 20820..20849 , 20850..20879 , 20880..20909 , 20910..20939 , 20940..20969 , 20970..20999 , 21000..21029 , 21030..21059 , 21060..21089 , 21090..21119 , 21120..21149 , 21150..21179 , 21180..21209 , 21210..21239 , 21240..21269 , 21270..21299 , 21300..21329 , 21330..21359 , 21360..21389 , 21390..21419 , 21420..21449 , 21450..21479 , 21480..21509 , 21510..21539 , 21540..21569 , 21570..21599 , 21600..21629 , 21630..21659 , 21660..21689 , 21690..21719 , 21720..21749 , 21750..21779 , 21780..21809 , 21810..21839 , 21840..21869 , 21870..21899 , 21900..21929 , 21930..21959 , 21960..21989 , 21990..22019 , 22020..22049 , 22050..22079 , 22080..22109 , 22110..22139 , 22140..22169 , 22170..22199 , 22200..22229 , 22230..22259 , 22260..22289 , 22290..22319 , 22320..22349 , 22350..22379 , 22380..22409 , 22410..22439 , 22440..22469 , 22470..22499 , 22500..22529 , 22530..22559 , 22560..22589 , 22590..22619 , 22620..22649 , 22650..22679 , 22680..22709 , 22710..22739 , 22740..22769 , 22770..22799 , 22800..22829 , 22830..22859 , 22860..22889 , 22890..22919 , 22920..22949 , 22950..22979 , 22980..23009 , 23010..23039 , 23040..23069 , 23070..23099 , 23100..23129 , 23130..23159 , 23160..23189 , 23190..23219 , 23220..23249 , 23250..23279 , 23280..23309 , 23310..23339 , 23340..23369 , 23370..23399 , 23400..23429 , 23430..23459 , 23460..23489 , 23490..23519 , 23520..23549 , 23550..23579 , 23580..23609 , 23610..23639 , 23640..23669 , 23670..23699 , 23700..23729 , 23730..23759 , 23760..23789 , 23790..23819 , 23820..23849 , 23850..23879 , 23880..23909 , 23910..23939 , 23940..23969 , 23970..23999 , 24000..24029 , 24030..24059 , 24060..24089 , 24090..24119 , 24120..24149 , 24150..24179 , 24180..24209 , 24210..24239 , 24240..24269 , 24270..24299 , 24300..24329 , 24330..24359 , 24360..24389 , 24390..24419 , 24420..24449 , 24450..24479 , 24480..24509 , 24510..24539 , 24540..24569 , 24570..24599 , 24600..24629 , 24630..24659 , 24660..24689 , 24690..24719 , 24720..24749 , 24750..24779 , 24780..24809 , 24810..24839 , 24840..24869 , 24870..24899 , 24900..24929 , 24930..24959 , 24960..24989 , 24990..25019 , 25020..25049 , 25050..25079 , 25080..25109 , 25110..25139 , 25140..25169 , 25170..25199 , 25200..25229 , 25230..25259 , 25260..25289 , 25290..25319 , 25320..25349 , 25350..25379 , 25380..25409 , 25410..25439 , 25440..25469 , 25470..25499 , 25500..25529 , 25530..25559 , 25560..25589 , 25590..25619 , 25620..25649 , 25650..25679 , 25680..25709 , 25710..25739 , 25740..25769 , 25770..25799 , 25800..25829 , 25830..25859 , 25860..25889 , 25890..25919 , 25920..25949 , 25950..25979 , 25980..26009 , 26010..26039 , 26040..26069 , 26070..26099 , 26100..26129 , 26130..26159 , 26160..26189 , 26190..26219 , 26220..26249 , 26250..26279 , 26280..26309 , 26310..26339 , 26340..26369 , 26370..26399 , 26400..26429 , 26430..26459 , 26460..26489 , 26490..26519 , 26520..26549 , 26550..26579 , 26580..26609 , 26610..26639 , 26640..26669 , 26670..26699 , 26700..26729 , 26730..26759 , 26760..26789 , 26790..26819 , 26820..26849 , 26850..26879 , 26880..26909 , 26910..26939 , 26940..26969 , 26970..26999 , 27000..27029 , 27030..27059 , 27060..27089 , 27090..27119 , 27120..27149 , 27150..27179 , 27180..27209 , 27210..27239 , 27240..27269 , 27270..27299 , 27300..27329 , 27330..27359 , 27360..27389 , 27390..27419 , 27420..27449 , 27450..27479 , 27480..27509 , 27510..27539 , 27540..27569 , 27570..27599 , 27600..27629 , 27630..27659 , 27660..27689 , 27690..27719 , 27720..27749 , 27750..27779 , 27780..27809 , 27810..27839 , 27840..27869 , 27870..27899 , 27900..27929 , 27930..27959 , 27960..27989 , 27990..28019 , 28020..28049 , 28050..28079 , 28080..28109 , 28110..28139 , 28140..28169 , 28170..28199 , 28200..28229 , 28230..28259 , 28260..28289 , 28290..28319 , 28320..28349 , 28350..28379 , 28380..28409 , 28410..28439 , 28440..28469 , 28470..28499 , 28500..28529 , 28530..28559 , 28560..28589 , 28590..28619 , 28620..28649 , 28650..28679 , 28680..28709 , 28710..28739 , 28740..28769 , 28770..28799 , 28800..28829 , 28830..28859 , 28860..28889 , 28890..28919 , 28920..28949 , 28950..28979 , 28980..29009 , 29010..29039 , 29040..29069 , 29070..29099 , 29100..29129 , 29130..29159 , 29160..29189 , 29190..29219 , 29220..29249 , 29250..29279 , 29280..29309 , 29310..29339 , 29340..29369 , 29370..29399 , 29400..29429 , 29430..29459 , 29460..29489 , 29490..29519 , 29520..29549 , 29550..29579 , 29580..29609 , 29610..29639 , 29640..29669 , 29670..29699 , 29700..29729 , 29730..29759 , 29760..29789 , 29790..29819 , 29820..29849 , 29850..29879 , 29880..29909 , 29910..29939 , 29940..29969 , 29970..29999 , 30000..30029 , 30030..30059 , 30060..30089 , 30090..30119 , 30120..30149 , 30150..30179 , 30180..30209 , 30210..30239 , 30240..30269 , 30270..30299 , 30300..30329 , 30330..30359 , 30360..30389 , 30390..30419 , 30420..30449 , 30450..30479 , 30480..30509 , 30510..30539 , 30540..30569 , 30570..30599 , 30600..30629 , 30630..30659 , 30660..30689 , 30690..30719 , 30720..30749 , 30750..30779 , 30780..30809 , 30810..30839 , 30840..30869 , 30870..30899 , 30900..30929 , 30930..30959 , 30960..30989 , 30990..31019 , 31020..31049 , 31050..31079 , 31080..31109 , 31110..31139 , 31140..31169 , 31170..31199 , 31200..31229 , 31230..31259 , 31260..31289 , 31290..31319 , 31320..31349 , 31350..31379 , 31380..31409 , 31410..31439 , 31440..31469 , 31470..31499 , 31500..31529 , 31530..31559 , 31560..31589 , 31590..31619 , 31620..31649 , 31650..31679 , 31680..31709 , 31710..31739 , 31740..31769 , 31770..31799 , 31800..31829 , 31830..31859 , 31860..31889 , 31890..31919 , 31920..31949 , 31950..31979 , 31980..32009 , 32010..32039 , 32040..32069 , 32070..32099 , 32100..32129 , 32130..32159 , 32160..32189 , 32190..32219 , 32220..32249 , 32250..32279 , 32280..32309 , 32310..32339 , 32340..32369 , 32370..32399 , 32400..32429 , 32430..32459 , 32460..32489 , 32490..32519 , 32520..32549 , 32550..32579 , 32580..32609 , 32610..32639 , 32640..32669 , 32670..32699 , 32700..32729 , 32730..32759 , 32760..32789 , 32790..32819 , 32820..32849 , 32850..32879 , 32880..32909 , 32910..32939 , 32940..32969 , 32970..32999 , 33000..33029 , 33030..33059 , 33060..33089 , 33090..33119 , 33120..33149 , 33150..33179 , 33180..33209 , 33210..33239 , 33240..33269 , 33270..33299 , 33300..33329 , 33330..33359 , 33360..33389 , 33390..33419 , 33420..33449 , 33450..33479 , 33480..33509 , 33510..33539 , 33540..33569 , 33570..33599 , 33600..33629 , 33630..33659 , 33660..33689 , 33690..33719 , 33720..33749 , 33750..33779 , 33780..33809 , 33810..33839 , 33840..33869 , 33870..33899 , 33900..33929 , 33930..33959 , 33960..33989 , 33990..34019 , 34020..34049 , 34050..34079 , 34080..34109 , 34110..34139 , 34140..34169 , 34170..34199 , 34200..34229 , 34230..34259 , 34260..34289 , 34290..34319 , 34320..34349 , 34350..34379 , 34380..34409 , 34410..34439 , 34440..34469 , 34470..34499 , 34500..34529 , 34530..34559 , 34560..34589 , 34590..34619 , 34620..34649 , 34650..34679 , 34680..34709 , 34710..34739 , 34740..34769 , 34770..34799 , 34800..34829 , 34830..34859 , 34860..34889 , 34890..34919 , 34920..34949 , 34950..34979 , 34980..35009 , 35010..35039 , 35040..35069 , 35070..35099 , 35100..35129 , 35130..35159 , 35160..35189 , 35190..35219 , 35220..35249 , 35250..35279 , 35280..35309 , 35310..35339 , 35340..35369 , 35370..35399 , 35400..35429 , 35430..35459 , 35460..35489 , 35490..35519 , 35520..35549 , 35550..35579 , 35580..35609 , 35610..35639 , 35640..35669 , 35670..35699 , 35700..35729 , 35730..35759 , 35760..35789 , 35790..35819 , 35820..35849 , 35850..35879 , 35880..35909 , 35910..35939 , 35940..35969 , 35970..35999 , 36000..36029 , 36030..36059 , 36060..36089 , 36090..36119 , 36120..36149 , 36150..36179 , 36180..36209 , 36210..36239 , 36240..36269 , 36270..36299 , 36300..36329 , 36330..36359 , 36360..36389 , 36390..36419 , 36420..36449 , 36450..36479 , 36480..36509 , 36510..36539 , 36540..36569 , 36570..36599 , 36600..36629 , 36630..36659 , 36660..36689 , 36690..36719 , 36720..36749 , 36750..36779 , 36780..36809 , 36810..36839 , 36840..36869 , 36870..36899 , 36900..36929 , 36930..36959 , 36960..36989 , 36990..37019 , 37020..37049 , 37050..37079 , 37080..37109 , 37110..37139 , 37140..37169 , 37170..37199 , 37200..37229 , 37230..37259 , 37260..37289 , 37290..37319 , 37320..37349 , 37350..37379 , 37380..37409 , 37410..37439 , 37440..37469 , 37470..37499 , 37500..37529 , 37530..37559 , 37560..37589 , 37590..37619 , 37620..37649 , 37650..37679 , 37680..37709 , 37710..37739 , 37740..37769 , 37770..37799 , 37800..37829 , 37830..37859 , 37860..37889 , 37890..37919 , 37920..37949 , 37950..37979 , 37980..38009 , 38010..38039 , 38040..38069 , 38070..38099 , 38100..38129 , 38130..38159 , 38160..38189 , 38190..38219 , 38220..38249 , 38250..38279 , 38280..38309 , 38310..38339 , 38340..38369 , 38370..38399 , 38400..38429 , 38430..38459 , 38460..38489 , 38490..38519 , 38520..38549 , 38550..38579 , 38580..38609 , 38610..38639 , 38640..38669 , 38670..38699 , 38700..38729 , 38730..38759 , 38760..38789 , 38790..38819 , 38820..38849 , 38850..38879 , 38880..38909 , 38910..38939 , 38940..38969 , 38970..38999 , 39000..39029 , 39030..39059 , 39060..39089 , 39090..39119 , 39120..39149 , 39150..39179 , 39180..39209 , 39210..39239 , 39240..39269 , 39270..39299 , 39300..39329 , 39330..39359 , 39360..39389 , 39390..39419 , 39420..39449 , 39450..39479 , 39480..39509 , 39510..39539 , 39540..39569 , 39570..39599 , 39600..39629 , 39630..39659 , 39660..39689 , 39690..39719 , 39720..39749 , 39750..39779 , 39780..39809 , 39810..39839 , 39840..39869 , 39870..39899 , 39900..39929 , 39930..39959 , 39960..39989 , 39990..40019 , 40020..40049 , 40050..40079 , 40080..40109 , 40110..40139 , 40140..40169 , 40170..40199 , 40200..40229 , 40230..40259 , 40260..40289 , 40290..40319 , 40320..40349 , 40350..40379 , 40380..40409 , 40410..40439 , 40440..40469 , 40470..40499 , 40500..40529 , 40530..40559 , 40560..40589 , 40590..40619 , 40620..40649 , 40650..40679 , 40680..40709 , 40710..40739 , 40740..40769 , 40770..40799 , 40800..40829 , 40830..40859 , 40860..40889 , 40890..40919 , 40920..40949 , 40950..40979 , 40980..41009 , 41010..41039 , 41040..41069 , 41070..41099 , 41100..41129 , 41130..41159 , 41160..41189 , 41190..41219 , 41220..41249 , 41250..41279 , 41280..41309 , 41310..41339 , 41340..41369 , 41370..41399 , 41400..41429 , 41430..41459 , 41460..41489 , 41490..41519 , 41520..41549 , 41550..41579 , 41580..41609 , 41610..41639 , 41640..41669 , 41670..41699 , 41700..41729 , 41730..41759 , 41760..41789 , 41790..41819 , 41820..41849 , 41850..41879 , 41880..41909 , 41910..41939 , 41940..41969 , 41970..41999 , 42000..42029 , 42030..42059 , 42060..42089 , 42090..42119 , 42120..42149 , 42150..42179 , 42180..42209 , 42210..42239 , 42240..42269 , 42270..42299 , 42300..42329 , 42330..42359 , 42360..42389 , 42390..42419 , 42420..42449 , 42450..42479 , 42480..42509 , 42510..42539 , 42540..42569 , 42570..42599 , 42600..42629 , 42630..42659 , 42660..42689 , 42690..42719 , 42720..42749 , 42750..42779 , 42780..42809 , 42810..42839 , 42840..42869 , 42870..42899 , 42900..42929 , 42930..42959 , 42960..42989 , 42990..43019 , 43020..43049 , 43050..43079 , 43080..43109 , 43110..43139 , 43140..43169 , 43170..43199 , 43200..43229 , 43230..43259 , 43260..43289 , 43290..43319 , 43320..43349 , 43350..43379 , 43380..43409 , 43410..43439 , 43440..43469 , 43470..43499 , 43500..43529 , 43530..43559 , 43560..43589 , 43590..43619 , 43620..43649 , 43650..43679 , 43680..43709 , 43710..43739 , 43740..43769 , 43770..43799 , 43800..43829 , 43830..43859 , 43860..43889 , 43890..43919 , 43920..43949 , 43950..43979 , 43980..44009 , 44010..44039 , 44040..44069 , 44070..44099 , 44100..44129 , 44130..44159 , 44160..44189 , 44190..44219 , 44220..44249 , 44250..44279 , 44280..44309 , 44310..44339 , 44340..44369 , 44370..44399 , 44400..44429 , 44430..44459 , 44460..44489 , 44490..44519 , 44520..44549 , 44550..44579 , 44580..44609 , 44610..44639 , 44640..44669 , 44670..44699 , 44700..44729 , 44730..44759 , 44760..44789 , 44790..44819 , 44820..44849 , 44850..44879 , 44880..44909 , 44910..44939 , 44940..44969 , 44970..44999 , 45000..45029 , 45030..45059 , 45060..45089 , 45090..45119 , 45120..45149 , 45150..45179 , 45180..45209 , 45210..45239 , 45240..45269 , 45270..45299 , 45300..45329 , 45330..45359 , 45360..45389 , 45390..45419 , 45420..45449 , 45450..45479 , 45480..45509 , 45510..45539 , 45540..45569 , 45570..45599 , 45600..45629 , 45630..45659 , 45660..45689 , 45690..45719 , 45720..45749 , 45750..45779 , 45780..45809 , 45810..45839 , 45840..45869 , 45870..45899 , 45900..45929 , 45930..45959 , 45960..45989 , 45990..46019 , 46020..46049 , 46050..46079 , 46080..46109 , 46110..46139 , 46140..46169 , 46170..46199 , 46200..46229 , 46230..46259 , 46260..46289 , 46290..46319 , 46320..46349 , 46350..46379 , 46380..46409 , 46410..46439 , 46440..46469 , 46470..46499 , 46500..46529 , 46530..46559 , 46560..46589 , 46590..46619 , 46620..46649 , 46650..46679 , 46680..46709 , 46710..46739 , 46740..46769 , 46770..46799 , 46800..46829 , 46830..46859 , 46860..46889 , 46890..46919 , 46920..46949 , 46950..46979 , 46980..47009 , 47010..47039 , 47040..47069 , 47070..47099 , 47100..47129 , 47130..47159 , 47160..47189 , 47190..47219 , 47220..47249 , 47250..47279 , 47280..47309 , 47310..47339 , 47340..47369 , 47370..47399 , 47400..47429 , 47430..47459 , 47460..47489 , 47490..47519 , 47520..47549 , 47550..47579 , 47580..47609 , 47610..47639 , 47640..47669 , 47670..47699 , 47700..47729 , 47730..47759 , 47760..47789 , 47790..47819 , 47820..47849 , 47850..47879 , 47880..47909 , 47910..47939 , 47940..47969 , 47970..47999 , 48000..48029 , 48030..48059 , 48060..48089 , 48090..48119 , 48120..48149 , 48150..48179 , 48180..48209 , 48210..48239 , 48240..48269 , 48270..48299 , 48300..48329 , 48330..48359 , 48360..48389 , 48390..48419 , 48420..48449 , 48450..48479 , 48480..48509 , 48510..48539 , 48540..48569 , 48570..48599 , 48600..48629 , 48630..48659 , 48660..48689 , 48690..48719 , 48720..48749 , 48750..48779 , 48780..48809 , 48810..48839 , 48840..48869 , 48870..48899 , 48900..48929 , 48930..48959 , 48960..48989 , 48990..49019 , 49020..49049 , 49050..49079 , 49080..49109 , 49110..49139 , 49140..49169 , 49170..49199 , 49200..49229 , 49230..49259 , 49260..49289 , 49290..49319 , 49320..49349 , 49350..49379 , 49380..49409 , 49410..49439 , 49440..49469 , 49470..49499 , 49500..49529 , 49530..49559 , 49560..49589 , 49590..49619 , 49620..49649 , 49650..49679 , 49680..49709 , 49710..49739 , 49740..49769 , 49770..49799 , 49800..49829 , 49830..49859 , 49860..49889 , 49890..49919 , 49920..49949 , 49950..49979 , 49980..50009 , 50010..50039 , 50040..50069 , 50070..50099 , 50100..50129 , 50130..50159 , 50160..50189 , 50190..50219 , 50220..50249 , 50250..50279 , 50280..50309 , 50310..50339 , 50340..50369 , 50370..50399 , 50400..50429 , 50430..50459 , 50460..50489 , 50490..50519 , 50520..50549 , 50550..50579 , 50580..50609 , 50610..50639 , 50640..50669 , 50670..50699 , 50700..50729 , 50730..50759 , 50760..50789 , 50790..50819 , 50820..50849 , 50850..50879 , 50880..50909 , 50910..50939 , 50940..50969 , 50970..50999 , 51000..51029 , 51030..51059 , 51060..51089 , 51090..51119 , 51120..51149 , 51150..51179 , 51180..51209 , 51210..51239 , 51240..51269 , 51270..51299 , 51300..51329 , 51330..51359 , 51360..51389 , 51390..51419 , 51420..51449 , 51450..51479 , 51480..51509 , 51510..51539 , 51540..51569 , 51570..51599 , 51600..51629 , 51630..51659 , 51660..51689 , 51690..51719 , 51720..51749 , 51750..51779 , 51780..51809 , 51810..51839 , 51840..51869 , 51870..51899 , 51900..51929 , 51930..51959 , 51960..51989 , 51990..52019 , 52020..52049 , 52050..52079 , 52080..52109 , 52110..52139 , 52140..52169 , 52170..52199 , 52200..52229 , 52230..52259 , 52260..52289 , 52290..52319 , 52320..52349 , 52350..52379 , 52380..52409 , 52410..52439 , 52440..52469 , 52470..52499 , 52500..52529 , 52530..52559 , 52560..52589 , 52590..52619 , 52620..52649 , 52650..52679 , 52680..52709 , 52710..52739 , 52740..52769 , 52770..52799 , 52800..52829 , 52830..52859 , 52860..52889 , 52890..52919 , 52920..52949 , 52950..52979 , 52980..53009 , 53010..53039 , 53040..53069 , 53070..53099 , 53100..53129 , 53130..53159 , 53160..53189 , 53190..53219 , 53220..53249 , 53250..53279 , 53280..53309 , 53310..53339 , 53340..53369 , 53370..53399 , 53400..53429 , 53430..53459 , 53460..53489 , 53490..53519 , 53520..53549 , 53550..53579 , 53580..53609 , 53610..53639 , 53640..53669 , 53670..53699 , 53700..53729 , 53730..53759 , 53760..53789 , 53790..53819 , 53820..53849 , 53850..53879 , 53880..53909 , 53910..53939 , 53940..53969 , 53970..53999 , 54000..54029 , 54030..54059 , 54060..54089 , 54090..54119 , 54120..54149 , 54150..54179 , 54180..54209 , 54210..54239 , 54240..54269 , 54270..54299 , 54300..54329 , 54330..54359 , 54360..54389 , 54390..54419 , 54420..54449 , 54450..54479 , 54480..54509 , 54510..54539 , 54540..54569 , 54570..54599 , 54600..54629 , 54630..54659 , 54660..54689 , 54690..54719 , 54720..54749 , 54750..54779 , 54780..54809 , 54810..54839 , 54840..54869 , 54870..54899 , 54900..54929 , 54930..54959 , 54960..54989 , 54990..55019 , 55020..55049 , 55050..55079 , 55080..55109 , 55110..55139 , 55140..55169 , 55170..55199 , 55200..55229 , 55230..55259 , 55260..55289 , 55290..55319 , 55320..55349 , 55350..55379 , 55380..55409 , 55410..55439 , 55440..55469 , 55470..55499 , 55500..55529 , 55530..55559 , 55560..55589 , 55590..55619 , 55620..55649 , 55650..55679 , 55680..55709 , 55710..55739 , 55740..55769 , 55770..55799 , 55800..55829 , 55830..55859 , 55860..55889 , 55890..55919 , 55920..55949 , 55950..55979 , 55980..56009 , 56010..56039 , 56040..56069 , 56070..56099 , 56100..56129 , 56130..56159 , 56160..56189 , 56190..56219 , 56220..56249 , 56250..56279 , 56280..56309 , 56310..56339 , 56340..56369 , 56370..56399 , 56400..56429 , 56430..56459 , 56460..56489 , 56490..56519 , 56520..56549 , 56550..56579 , 56580..56609 , 56610..56639 , 56640..56669 , 56670..56699 , 56700..56729 , 56730..56759 , 56760..56789 , 56790..56819 , 56820..56849 , 56850..56879 , 56880..56909 , 56910..56939 , 56940..56969 , 56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239 , 57240..57269 , 57270..57299 , 57300..57329 , 57330..57359 , 57360..57389 , 57390..57419 , 57420..57449 , 57450..57479 , 57480..57509 , 57510..57539 , 57540..57569 , 57570..57599 , 57600..57629 , 57630..57659 , 57660..57689 , 57690..57719 , 57720..57749 , 57750..57779 , 57780..57809 , 57810..57839 , 57840..57869, >>Next

 Matrices-and-determiminant/73188: Help! I don't know if I'm doing this right. Use the matrix method. x+y-z = -9 2x-y-2z=-3 x+2y+3z=14 I'm confused I seen one way adding R1+R3 to start and another saying interchange row 1 and 3????? This is what I have done: R1 1 1 -1 | -9 R2 2 -1 -2 | -3 R3 1 2 3 | 14 R1 1 2 3 | 14 R2 2 -1 -2 | -3 R3 1 1 -1 | -9 R1 1 2 3 | 14 R2 0 -5 -8 |-31 R3 1 1 -1 | -9 R1 1 2 3 | 14 R2 0 -5 -8 |-31 R3 0 -1 -4 |-23 R1 1 2 3 | 14 R2 0 1 8/5 | 31/5 R3 0 -1 -4 |-23 ?????????????????????????????????? 1 solutions Answer 52436 by stanbon(57940)   on 2007-03-04 18:37:38 (Show Source): You can put this solution on YOUR website!Use the matrix method. x+y-z = -9 2x-y-2z=-3 x+2y+3z=14 I'm confused I seen one way adding R1+R3 to start and another saying interchange row 1 and 3????? This is what I have done: R1 1 1 -1 | -9 R2 2 -1 -2 | -3 R3 1 2 3 | 14 OK ------------------------- R1 1 2 3 | 14 R2 2 -1 -2 | -3 R3 1 1 -1 | -9 ok --------------------- R1 1 2 3 | 14 R2 0 -5 -8 |-31 R3 1 1 -1 | -9 OK ------------------ R1 1 2 3 | 14 R2 0 -5 -8 |-31 R3 0 -1 -4 |-23 OK ------------------- Multiply thru R3 by -1 and interchange R2 and R3 R1 1 2 3 | 14 R2 0 1 4 | 23 R3 0 -5 -8 |-31 -------------------- Multiply R2 by 5 and add it to R3 to get R1 1 2 3 | 14 R2 0 1 4 | 23 R3 0 0 12 | 84 OK ----------------------- Divide R3 by 12 to solve for "z" z=7 -------- Substitute z=7 into R2 to solve for "y" y +4*7 =23 y=-5 ------- Substitute y=-5 and z=7 into R1 to solve for "x" x + 2*-5 +3*7 = 14 x -10+21 = 14 x = 3 --------- Solution: x=3 ; y=-5 ; z = 7 ============== Cheers, Stan H. -------- ??????????????????????????????????
 expressions/73186: Could I please get some help with problem solving an inequality expressing. Question: A electronic store wants to order at least 3 times as many DVD players as VHS players. Write an inequality expressing this relationship. x+ 3x is this correct?1 solutions Answer 52432 by stanbon(57940)   on 2007-03-04 17:14:25 (Show Source): You can put this solution on YOUR website!Question: A electronic store wants to order at least 3 times as many DVD players as VHS players. Write an inequality expressing this relationship. Let the number of VHS players be "x". Let the number of DVD players be "y". INEQUALITY: y >= 3x ------- Cheers, Stan H.
 Matrices-and-determiminant/73181: Solve by either elimination, substitution or Crammer's Rule. I am not sure how to do this problem since there is more than one # on the right side of the =. Please help. y=10-2z-x 4x-y=2 -5+5z=4x+3y1 solutions Answer 52430 by stanbon(57940)   on 2007-03-04 17:02:39 (Show Source): You can put this solution on YOUR website!Rearrange the equations in the form ax+by+cz = d y=10-2z-x 4x-y=2 -5+5z=4x+3y ------------- x+y+2z = 10 4x-y+0z = 2 4x+3y-5z=-5 ---------------- The "coefficient" matrix has determinant (5+24+0)-(-8+0-20)=57 The "x" matrix determinant is 62 The "y" matrix determinant is 134 The "z" matrix determinant is 187 --------- x=62/57 y=134/57 z=187/57 ----------- Using matrix multiplication (A^-1B) I get the same answer. Cheer, Stan H.
 Rectangles/73176: A rectangle is placed under the parabolic arch by f(x)=27-3x^2 by using a point (x,y) on the parabola,as shown on the figure.Write a formula for the function A(x) that gives the area of the rectangle as a function of the x-coordinate of the point chosen. answers are: a.f(x)=6(27-3x^2) b.f(x)=27x-3x^3 c.f(x)=54x-6x^3 d.f(x)=162x-6x^31 solutions Answer 52429 by stanbon(57940)   on 2007-03-04 16:45:30 (Show Source): You can put this solution on YOUR website!A rectangle is placed under the parabolic arch by f(x)=27-3x^2 by using a point (x,y) on the parabola,as shown on the figure.Write a formula for the function A(x) that gives the area of the rectangle as a function of the x-coordinate of the point chosen. answers are: a.f(x)=6(27-3x^2) b.f(x)=27x-3x^3 c.f(x)=54x-6x^3 d.f(x)=162x-6x^3 ----------------- I don't have the figure but you do. The base of the rectangle is 2x because it goes x to the right of the y axis and x to the left of the y axis. The height of the rectangle is y which equals 27-3x^2 -------- The Area is base*height A(x) = (2x)(27-3x^2) A(x) = 54x -6x^3 which is answer "c". cheers, Stan H.
 Linear-equations/73179: Find an equation for line with slope 1/2 and y-intercept 3 possible answers a.x/2-y=3 b.-x+2y=6 c.x+2y=6 d.2x-y=31 solutions Answer 52427 by stanbon(57940)   on 2007-03-04 16:40:07 (Show Source): You can put this solution on YOUR website!Find an equation for line with slope 1/2 and y-intercept 3 possible answers a.x/2-y=3 b.-x+2y=6 c.x+2y=6 d.2x-y=3 ---------- The form is y=mx+b where m=1/2 and b = 3 y=(1/2)x+3 Multiply thru by 2 to get: 2y=x+6 Substract x from both sides to get: -x+2y=6 which is answer "b" Cheers, Stan H.
 Exponents-negative-and-fractional/73168: Please show formula for: 1/a^-4 = a^4 Thanks!1 solutions Answer 52425 by stanbon(57940)   on 2007-03-04 16:36:37 (Show Source): You can put this solution on YOUR website!Please show formula for: 1/a^-4 = a^4 --------- I don't think you want a formula. The equation is true for all value of a except a=0. Look again at the question in your book. See what they are asking you to do. Cheers, Stan H.
 Graphs/73173: I am not sure how to start the equation for this word problem, can you please help? Question: A consultant traveled 6 hours to attend a meeting. The return trip took only 5 hours because the speed was 10 miles per hour faster. What was the consultant's speed each way?1 solutions Answer 52423 by stanbon(57940)   on 2007-03-04 16:18:08 (Show Source): You can put this solution on YOUR website!A consultant traveled 6 hours to attend a meeting. The return trip took only 5 hours because the speed was 10 miles per hour faster. What was the consultant's speed each way? ---------------- "Going" DATA: Time = 6 hrs ; Rate = x mph ; Distance = rt=6x miles --------- "Return" DATA: Time = 5 hrs ; Rate = (x+10) mph : Distance = rt = 5(x+10) miles ------------ EQUATION: Going distance = Return distance 6x = 5(x+10) x=50 mph (Going speed) x+10 = 60 mph (Return speed) ===================== Cheers, Stan H.
 Functions/73175: If c varies inversely as d, and if c=12 when d=1/4, find c when d=9? 1 solutions Answer 52422 by stanbon(57940)   on 2007-03-04 16:11:57 (Show Source): You can put this solution on YOUR website!If c varies inversely as d, and if c=12 when d=1/4, find c when d=9? -------------- c = k/d where "k" is the constant of variation. Find "k": 12 = k/(1/4) 12=4k k=3 --------------- EQUATION: c = 3/d ---------------- Now find c if d = If d= 9 then c = 3/9 Then c=1/3 --------------- Cheers, Stan H.
 Mixture_Word_Problems/73141: How many kg of water must be evaporated from 50kg of a 10% salt solution to obtain a 15% salt solution? This was given to me out of a GEPA math tutorial book.1 solutions Answer 52392 by stanbon(57940)   on 2007-03-04 09:22:06 (Show Source): You can put this solution on YOUR website!How many kg of water must be evaporated from 50kg of a 10% salt solution to obtain a 15% salt solution? ----------- Amt of water in 10% solution = 0.90*50kg = 45kg --------- Let amt of water evaporated be "x" kg. -------------- Amt of water in 15% solution = 0.85(50-x)=(42.5-0.85x)kg -------------- EQUATION: water - water = water 45 - x= 42.5-0.85x 2.5=0.15x x= 6 2/3 kg (amt of water that must be evaporated) ================== Cheers, Stan H.
 Systems-of-equations/73140: This question is from textbook find the maximum and minimum values of T= 6x + 10y subject to x+y < or = to 10 5x + 10y > or = 50 x > or = 2 y > or = 0 Can you possibly help me with this? Thank You1 solutions Answer 52390 by stanbon(57940)   on 2007-03-04 09:08:01 (Show Source): You can put this solution on YOUR website!find the maximum and minimum values of T= 6x + 10y subject to x+y < or = to 10 5x + 10y > or = 50 x > or = 2 y > or = 0 ---------------- T = 6x+10y is the object function to be evaluated. Solve the next two for y: y<=-x+10 y>=(-1/2)x+5 x>=2 defines the domain for the object function y>=0 defind the range for the object function ------------ Draw a coordinate system. Draw a vertical line at x=2 Shade the area to the right of x=2 where y>0 Graph the line y=(-1/2)x+5 (shade the area above the line) Graph the line y=-x+10 (shade the area below the line) Find the coordinates of the points of intersection of the three lines: x=2; y=-x+10; y=(-1/2)x+5 They are (2,4), (2,8), and (10,0) ---------- Evaluate T=6x+10y for these three points: If (2,4), then T=6*2+10*4 = 52 (minimum point) If (2,8), then T=6*2+10*8 = 92 (maximum point) If (10,0), thenT=6*10+10*0 = 60 ================ Cheers, Stan H.
 Matrices-and-determiminant/73125: can you help me write this system as a matrix equation and solve using an inverse matrix please?... s + p + c = 40 c = 4p s = p - 21 solutions Answer 52389 by stanbon(57940)   on 2007-03-04 08:52:49 (Show Source): You can put this solution on YOUR website!solve using an inverse matrix please?... s + p + c = 40 c = 4p s = p - 2 ---------- Rearange equations #2 and #3 to get the variables in the same column: s + p + c = 40 0 +4p - c = 0 1 - p + 0 =-2 ---------------- Enter the coefficient matrix into your calculator as matrix A: 1st Row: 1 ; 1; 1 2nd Row: 0 ; 4; -1 3rd Row: 1 ;-1; 0 ------------- Enter the constants in as a 3x1 matrix called B: 1st Row: 40 2nd Row: 0 3rd Row: -2 -------------- Bring A to you home screen Hit the "inverse" button Hit the "multiply" button Bring B to your home screen to the right of A^-1 Hit "enter" You should see a 3x1 array with: 1st Row : 5 (this is s) 2nd Row : 7 (this is p) 3rd Row : 28 (this is c) =============== Cheers, Stan H.
 Equations/73139: (a) x+1/2=x+2/3 (b) 2x+3/x=2/3 (c) 3/x=2/1-x (d) 2-x/3=2x-1/5 (e) 2x-3/4=2/3x (f) x-1/2=2-x/3 (g) 1-k/3=k+2/2 (h) 2a-3/4=3-a/3 (i) 3/4=t/t+2 (j) 3/4=t/t+2 1 solutions Answer 52388 by stanbon(57940)   on 2007-03-04 08:39:33 (Show Source): You can put this solution on YOUR website!(a) x+1/2=x+2/3 Subtract x from both sides to get: 1/2 = 2/3 Therefore no solution ---------------- (b) (2x+3)/x=2/3 Cross multiply: 6x+9 = 3x-6 3x=-15 x=-5 ------------- (c) 3/x=2/(1-x) Cross multiply 3-3x=2x 3=5x x=3/5 --------- (d) (2-x)/3=(2x-1)/5 Cross multiply 10-5x=10x-3 15x=13 x=13/15 ---------- etc. The remaining problems are worked similarly. Cheers, Stan H. (e) (2x-3)/4=2/3x (f) (x-1)/2=(2-x)/3 (g) (1-k)/3=(k+2)/2 (h) (2a-3)/4=(3-a)/3 (i) 3/4=t/(t+2) (j) 3/4=t/(t+2)
 Mixture_Word_Problems/73127: This question is from textbook Elementary Statistics How many versions of a test are required to cover all possible question arrangements if there are nine open-ended questions on the test?1 solutions Answer 52384 by stanbon(57940)   on 2007-03-04 07:57:12 (Show Source): You can put this solution on YOUR website!9! = 362,880 pages -------- Cheers, Stan H
 Mixture_Word_Problems/73130: This question is from textbook Elementary Statistics Decide whether the experiment is a binomial experiment. If it is not, explain why. Each week, a lottery player plays the Daily Three in the California lottery. The random variable is the number of times per year the player wins.1 solutions Answer 52383 by stanbon(57940)   on 2007-03-04 07:54:10 (Show Source): You can put this solution on YOUR website!Not binomial if the payoff is a fixed figure that does not depend on the number of participlants. That being the case the probability of winning changes every time he playssince more or fewer people participate each day. ==================== If the payoff is adjusted relative to the number of participants the experiment could possibly be binomial, but that is highly unlikely. ========== For an experiment to be binomial, the probability of success on each trial must remain the same. --------- Cheers, Stan H.
 Money_Word_Problems/73136: \$1000 was invested altogether. The first investment yielded a 15% profit, but the second investment yielded a 10% loss. Altogether this was equivalent to a 6% loss. How much in each investment? 1 solutions Answer 52382 by stanbon(57940)   on 2007-03-04 07:45:14 (Show Source): You can put this solution on YOUR website!\$1000 was invested altogether. The first investment yielded a 15% profit, but the second investment yielded a 10% loss. Altogether this was equivalent to a 6% loss. How much in each investment? ------------- Let amt of 15% investment be "x" ; Interest will be 0.15x Amt of 10% investment is "1000-x": Interest will be 0.10(1000-x)=100-0.1x --------------- EQUATION: Int - Int = -0.06(1000) 0.15x - (100-0.10x) = -0.06(1000) 0.15x-100+0.10x = -60 0.05x=40 x=\$800 (amt invested at 15%) 1000-x = \$200 (amt invested at 10%) =========== Cheers, Stan H.
 Matrices-and-determiminant/73110: Hi! I am having trouble with writing determinants and understanding Cramer's Rule. Please help me! This is one of my practice questions. There are a few like this so I am hoping if you show me how to do this one, I will be able to do the rest of them myself. Thanks! Cramer's Rule is used to solve the system of equations: 3x-y+2z=17, 4x+2y-3z=10, and 2x+5y-9z=-6. Write a determinant to represent the numerator for z.1 solutions Answer 52377 by stanbon(57940)   on 2007-03-03 22:50:03 (Show Source): You can put this solution on YOUR website!3x-y+2z=17, 4x+2y-3z=10, and 2x+5y-9z=-6. Write a determinant to represent the numerator for z. --------------------------- z numerator: 1st row: 3 ; -1 ;17 2nd row: 4 ; 2 ;10 3rd row: 2 ; 5 :-6 =============================== Cheers, Stan H.
 Linear_Equations_And_Systems_Word_Problems/73111: Not too long ago Edwin greatly helped me solve a system of equations from a word problem, it did indeed help me however, i need to now use that system and solve it using the substitution and elimination methods... can u help me?... the system is.... s + p + c = 40 c = 4p s = p - 2 1 solutions Answer 52376 by stanbon(57940)   on 2007-03-03 22:40:11 (Show Source): You can put this solution on YOUR website!s + p + c = 40 c = 4p s = p - 2 --------------- The objective is to get an equation that has only one variable. You are told c=4p You are told s=p-2 Substitute that information into the 1st equation to get: (p-2) +p +4p = 40 6p-2=40 6p=42 p=7 ---------- Then c=4p=4*7=28 And s=p-2=7-2=5 --------- Solution: p=7; s=5, c=28 ============== Cheers, Stan H.
 Matrices-and-determiminant/73109: I don't know if I am on the right track or not , and I am not sure how to finish. 2 [1 -9] [0 -2 -8] - [1 10 6] [4 3] [4 7 5] - [5 -2 0] The brackets are to go around both rows (It is 2 times a 2by2 times a 2by3 subtract a 2by3 I have 2[-36 -65 -53] - [1 10 6] [ 12 13 -17] - [5 -2 0] I am not sure how to do the rest, do I multiply 2 by each # in the first 2x3? Please help.1 solutions Answer 52375 by stanbon(57940)   on 2007-03-03 22:29:29 (Show Source): You can put this solution on YOUR website!2 [1 -9] [0 -2 -8] - [1 10 6] [4 3] [4 7 5] - [5 -2 0] The brackets are to go around both rows (It is 2 times a 2by2 times a 2by3 subtract a 2by3 I have 2[-36 -65 -53] - [1 10 6] [ 12 13 -17] - [5 -2 0] I am not sure how to do the rest, do I multiply 2 by each # in the first 2x3? Please help. --------------- Yes, multiply each element of the 2x3 matrix by 2 then subtract the corresponding elements of the last matrix -------- In the answer the element in the 1st row, 1st column is 2*-36-1=-73 ---------- Cheers, Stan H.
 Exponents/73108: This question is from textbook intoductory algebra how to solve (5^12th power)divided by 5 to the 25th power all to the 2nd power1 solutions Answer 52374 by stanbon(57940)   on 2007-03-03 22:14:18 (Show Source): You can put this solution on YOUR website!solve (5^12th power)divided by 5 to the 25th power all to the 2nd power -------- [(5^12)/(5^25)]^2 = [1/5^13]^2 =1/5^26 Cheers, Stan H.
 Equations/73107: At noon, two trains leave from towns 175 miles apart. One train averages 40 mph and the other averages 30 mph. At what time do they meet? (Remeber: distance= rate*time)1 solutions Answer 52373 by stanbon(57940)   on 2007-03-03 22:09:56 (Show Source): You can put this solution on YOUR website!At noon, two trains leave from towns 175 miles apart. One train averages 40 mph and the other averages 30 mph. At what time do they meet? (Remeber: distance= rate*time) ---------------- Train One DATA: Distance: x : Rate= 40 mph ; Time = d/r = x/40 hrs ======== Train Two DATA: Distance: 175-x miles ; Rate = 30 mph ; Time = d/r = (175-x)/30 hrs ---------------- EQUATION: Time One = Time Two x/40 = (175-x)/30 Cross-multiply to get: 30x = 40(175-x) 3x = 4(175-x) 3x = 700 -4x 7x = 700 x=100 miles Time = x/40 = 100/40 = 2.5 hrs =============== Cheers, Stan H.
 Linear-equations/73105: I need help with these equations please. We are to use the standard form in solving x & y intercept. Thanks.....8y+4x=24 5y+10x=30 6y+12x=24 7y+7x=28. 1 solutions Answer 52368 by stanbon(57940)   on 2007-03-03 21:51:07 (Show Source): You can put this solution on YOUR website!We are to use the standard form in solving x & y intercept. Thanks.... 8y+4x=24 Let x=0 then y=3 =====the y intercept Let y=0 then x=6 =====the x intercept ------- 5y+10x=30 Let x=0 then y=6 =====the y intercept Let y=0 then x=3 =====the x intercept -------- 6y+12x=24 Let x=0 then y=4 =====the y intercept Let y=0 then x=2 =====the x intercept =========== 7y+7x=28. Let x=0 then y=4 =====the y intercept Let y=0 then x=4 =====the x-intercept ============= Cheers, Stan H.