Tutor:

New! Get regular updates about newly solved problems via algebra.com's RSS system.

---

Recent problems solved by 'stanbon'

stanbon answered: 57222 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 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, >>Next

Trigonometry-basics/206557: find exact value of CSC 210 degrees without using a calculator or the unit circle? 1 solutions Answer 156111 by stanbon(57290)   on 2009-08-12 23:00:55 (Show Source): You can put this solution on YOUR website! find exact value of CSC 210 --- 210 is 30 degrees in the 3rd quadrant. ----- since sin(30)=1/2, csc(30) is 2 ---- But the sin is negative in the 3rd quadrant. So csc(120) = -2 =========================== Cheers, Stan H.

Mixture_Word_Problems/206409: Two pumps are used to fill a water storage tank at a resort. One pump can fill the tank by itself in 9 hours, and the other can fill it in 6 hours. How long will it take both pumps operating together to fill the tank? 1 solutions Answer 156110 by stanbon(57290)   on 2009-08-12 22:58:08 (Show Source): You can put this solution on YOUR website! Two pumps are used to fill a water storage tank at a resort. One pump can fill the tank by itself in 9 hours, and the other can fill it in 6 hours. How long will it take both pumps operating together to fill the tank? ------------------------------------------------------------------- 1st pump DATA: time = 9 hr/job ; rate = (1/9) job/hr ----------------------------------------- 2nd pump DATA: time = 6 hr/job ; rate = 1/6 job/hr ------------------------------------------ Together DATA: time = x hr/job ; rate = 1/x job/hr ------------------------------------------- Equation: rate + rate = together rate (1/9) + (1/6) = 1/x 2x + 3x = 18 5x = 18 x = 18/5 = 3.6 hrs (time required when both pumps are operating) ====================================================================== Cheers, Stan H.

Linear_Equations_And_Systems_Word_Problems/206564: I need help making a system of equations based on a word problem, here is the problem:"At the hardware store, Leslie bought 2 boxes of nails and 3 boxes of screws and paid $13.95 before tax. Michael bought 4 boxes of nails and 1 box of screws and paid $12.15 before tax. Find the cost of a box of nails and the cost of a box of screws. 1 solutions Answer 156108 by stanbon(57290)   on 2009-08-12 22:45:34 (Show Source): You can put this solution on YOUR website! At the hardware store, Leslie bought 2 boxes of nails and 3 boxes of screws and paid $13.95 before tax. Michael bought 4 boxes of nails and 1 box of screws and paid $12.15 before tax. Find the cost of a box of nails and the cost of a box of screws. ------------------------------------------------- Equations: 2n + 3s = 1395 cents 4n + s = 1215 cents --------------------------------- Multiply thru the 1st equation by 2: 4n + 6s = 2790 --- Subtract the 2nd equation from this modified 1st equation: 5s = 1575 s = 315 cents = $3.15 (price of a box of screws) --- Substitute to solve for "n" 4n + 315 = 1215 4n = 900 n = 225 = $2.25 (price of a box of nails) =============================================== Cheers, Stan H.

Linear-equations/206558: What are the steps to get this equation in graphing form? 1.50x+1.25y=375? 1 solutions Answer 156100 by stanbon(57290)   on 2009-08-12 21:39:13 (Show Source): You can put this solution on YOUR website! What are the steps to get this equation in graphing form? 1.50x+1.25y=375? --- Get the "y" alone on one side of the equation: --- 1.25y = -1.50x + 375 Multiply thru by 100 to get rid of the decimals. 125y = -150x + 37500 Divide thru by 25 to get: 5y = -6x + 1500 --- y = (-6/5)x + 300 Graph: ========================================================= Cheers, Stan H.

Polynomials-and-rational-expressions/206554: This question is from textbook Introductory Algebra Please help me factor this equation: Thank you. 1 solutions Answer 156097 by stanbon(57290)   on 2009-08-12 21:13:50 (Show Source): You can put this solution on YOUR website! x^(2n+1)-2x^(n+1)+x Factor out "x" to get: x[(x^n)^2 - 2 x^n +1] --- Let x^n = k --- Substitute to get: x[k^2 -2k + 1] --- = x(k-1)^2 --- Substitute to get: --- = x((x^n)-1)^2 --- Cheers, Stan H.

Polynomials-and-rational-expressions/206551: This question is from textbook Introductory Algebra Please help me factor this equation. Thank you. 1 solutions Answer 156090 by stanbon(57290)   on 2009-08-12 20:55:29 (Show Source): You can put this solution on YOUR website! factor this equation. Thank you. (a+4)^2-2(a+4)+1 --- Let x = a+4 --- Substitute: x^2 -2x + 1 Factor: (x-1)(x-1) ------------------- Substitute: (a+4-1)(a+4-1) = (a+3)(a+3) ================== Cheers, Stan H.

Linear-equations/206541: The equation, in general form, of the line that passes through the point (7,-7) and is perpendicular to the line 8x-6y+2=0 is , where A= B= C= 1 solutions Answer 156081 by stanbon(57290)   on 2009-08-12 20:11:32 (Show Source): You can put this solution on YOUR website! The equation, in general form, of the line that passes through the point (7,-7) and is perpendicular to the line 8x-6y+2=0 is , where A= B= C= -------------------------------------------- Find the slope of the given line: 6y = 8x+2 y = (4/3)x + (1/3) The slope of the given line is 4/3 --------------------------------------------------- Every line perpendicular to the given line must have a slope of -3/4 --- Find the intercept: Since the form is y = mx+b, -7=(-3/4)*7+b -7 = (-21/4)+b (-28/4)+(21/4) = b b = (-7/4) ------------------ Equation: y = (-3/4)x - (7/4) ======================== Cheers, Stan H.

Probability-and-statistics/206540: Backyard Retreats, Inc, sells an exclusive line of pools, hot tubs, and spas. It is located just off the Bee Line Expressway in Orlando, Florida. The owner reports 20% of the customers entering the store will make a purchase of at least $50. Suppose 15 customers enter the store before 10am on a particular Saturday a) How many of these customers would you expect to make a purchase of at least $50? b) What is the probability exactly five of these customers make a purchase of at least $50? c) What is the probability at least five of these customers make a purchase of at least $50? d) What is the probability at least one customers make a purchase of at least $50? 1 solutions Answer 156080 by stanbon(57290)   on 2009-08-12 19:50:16 (Show Source): You can put this solution on YOUR website! The owner reports 20% of the customers entering the store will make a purchase of at least $50. Suppose 15 customers enter the store before 10am on a particular Saturday ---------------------- The problem is binomial with p = 0.2, and n= 15 a) How many of these customers would you expect to make a purchase of at least $50? mean = np = 15*0.2 = 3 ------------------------------------ b) What is the probability exactly five of these customers make a purchase of at least $50? P(x+5) = 15C5(0.2)^5(0.8)10 = 0.1032 ---------------------------------------------- c) What is the probability at least five of these customers make a purchase of at least $50? P(5<=x<=15) = 1-binomcdf(15,0.2,4) = 0.1642 ----------------------------------------------- d) What is the probability at least one customers make a purchase of at least $50? P(at least one) = 1 - P(none) = 1 - binompdf(15,0.2,0) = 0.9648 ======================================= Cheers, Stan H.

expressions/206537: Solve: A. 5x-4(6+2x)<2(1-x) B. x-9<3x-4 C. 12-/7-2m/=9 (// are suppose to be absolute value sign) If all of these are solved the same way could you please just show me how to do one. Thank you! 1 solutions Answer 156078 by stanbon(57290)   on 2009-08-12 19:35:47 (Show Source): You can put this solution on YOUR website! Solve: A. 5x-4(6+2x)<2(1-x) 5x-24-8x<2-2x -3x-24 < 2-2x Add 3x to both sides: subtract 2 from both sides 5x < -26 x < -26/5 ============================ B. x-9<3x-4 Subtract x from both sides: Add 4 to both sides 2x > -5 x > -5/2 ============================ C. 12-/7-2m/=9 |7-2m| = 3 7-2m = 3 or 7-2m = -3 2m = 4 or 2m = 10 m = 2 or m = 5 ======================== Cheers, stan H.

Divisibility_and_Prime_Numbers/206379: This question is from textbook Mcdougal Littel What 2 composite numbers whose prime factors each have a sum of 18? 1 solutions Answer 156075 by stanbon(57290)   on 2009-08-12 19:26:44 (Show Source): You can put this solution on YOUR website! composite numbers whose prime factors each have a sum of 18? --- prime numbers less than 18 are 2,3,5,7,11,13,17 --- 7+11 = 18 5+13 = 18 ------------------- composite number = 7*11 = 77 composite number = 5*13 = 65 ====================================== Cheers, Stan H.

Polynomials-and-rational-expressions/206536: Simplify each complex fraction. Reduce each answer to lowest terms. ab + b^2/4ab^5/a + b/6a^2b^4 1 solutions Answer 156074 by stanbon(57290)   on 2009-08-12 19:16:13 (Show Source): You can put this solution on YOUR website! Please use some parentheses so we can tell where numerators and denominators begin and end. Cheers, Stan H.

Quadratic-relations-and-conic-sections/206393: without writing in standard form identify whether equation is a PARABOLA, ELLIPSE, OR A CIRCLE y=x2+3x+1 i think that it is a parabola because isnt a parabola formula x2+x+1 1 solutions Answer 156073 by stanbon(57290)   on 2009-08-12 19:08:31 (Show Source): You can put this solution on YOUR website! You are correct. Cheers, Stan H.

Miscellaneous_Word_Problems/206425: A crate filled with empty bottles weighs 2 kg. The empty crate weighs 1.6 kg less than the bottles. How much does the empty crate weigh? (A) 200 g (B) 300 g (C) 400 g (D) 1.6 kg (E) 1.8 kg 1 solutions Answer 156066 by stanbon(57290)   on 2009-08-12 18:47:43 (Show Source): You can put this solution on YOUR website! A crate filled with empty bottles weighs 2 kg. The empty crate weighs 1.6 kg less than the bottles. How much does the empty crate weigh? crate + bottles = 2kg (b-1.6) + b = 2 2b = 3.6 b = 1.8 kg ----------------------- Since c + b = 2 kg, c = 0.2 kg = 0.2*1000g = 200 g --- Answer: A ============================ Cheers, Stan H. ============================ (A) 200 g (B) 300 g (C) 400 g (D) 1.6 kg (E) 1.8 kg

Quadratic_Equations/206469: Sketch the graph of a quadratic function for which the related quadratic equation has only one solution. Then, sketch one that has two solutions. Explain how you know by looking at the graph the number of solutions there are. 1 solutions Answer 156054 by stanbon(57290)   on 2009-08-12 18:04:05 (Show Source): You can put this solution on YOUR website! Sketch the graph of a quadratic function for which the related quadratic equation has only one solution. Then, sketch one that has two solutions. Explain how you know by looking at the graph the number of solutions there are. ------------------------------------------- y = (x-2)^2 has one solution with multiplicity 2. ------------------------------ y = (x^2-4) has two solutions. ------------ If the graph just touches the x axis the quadratic has one solution. If the graph passes thru the x axis at two points the quadratic has two zeroes. --------------------------------------------------------- Cheers, stan H.

Rectangles/206510: The length of a rectangle is 6 cm more than 1 1/2 times the width. The perimiter of the rectangle is 56 cm. Find the dimensions of the rectangle.Can someone show me the work too? 1 solutions Answer 156053 by stanbon(57290)   on 2009-08-12 17:54:33 (Show Source): You can put this solution on YOUR website! The length of a rectangle is 6 cm more than 1 1/2 times the width. The perimiter of the rectangle is 56 cm. Find the dimensions of the rectangle ------------------------------------------------- Perimeter = 2(W + L) 56 = 2(W + (3/2)W + 6) 28 = (5/2)W + 6 (5/2)W = 22 W = 44/5 = 8.8 cm -------------------------- L = (3/2)W + 6 L = (3/2)*8.8 + 6 L = 19.2 cm =================== Cheers, Stan H.

Equations/206509: please show the conjecture is false by coming up with a counterexample. the square root of a number x is always less than x. 1 solutions Answer 156050 by stanbon(57290)   on 2009-08-12 17:47:22 (Show Source): You can put this solution on YOUR website! sqrt(1/4) = 1/2 and 1/2 is greater than 1/4 ================================ Cheers, Stan H.

Graphs/206466: If x and y are intergers, find the domain of {(x,y):/y/=x and x ( By // around the y I mean absolute value sign) 1 solutions Answer 156017 by stanbon(57290)   on 2009-08-12 16:03:40 (Show Source): You can put this solution on YOUR website! If x and y are integers, find the domain of {(x,y):/y/=x and x ================= Domain: Since |y| is never negative, domain is all Real numbers >= zero. ------------------------- Can't graph this relation on this site. ------------------------------------------- Is it a function? No, because the relation has pairs of points like (2,2) and (2,-2) --------------------------------------------------------------- Cheers, Stan H.

Polynomials-and-rational-expressions/206464: If f(x)=1-3x and g(x)=1/x2+1,find f(g(0)) and g(f(1)). (by 1/x2+1 i mean 1 over x squared plus 1) PLEASE HELP!!! 1 solutions Answer 156016 by stanbon(57290)   on 2009-08-12 15:55:49 (Show Source): You can put this solution on YOUR website! If f(x)=1-3x and g(x)=1/(x^2+1),find f(g(0)) and g(f(1)) ------------------------------- f[g(o)] = f[1] = 1-3 = -2 ----------------------------------- g[f(1)] = g[-2] = 1/(2^2+1) = 1/5 ========================================= Cheers, Stan H.

logarithm/206454: 2 log(base 4) 9 - log(base 2) 3 1 solutions Answer 156010 by stanbon(57290)   on 2009-08-12 15:08:25 (Show Source): You can put this solution on YOUR website! 2 log(base 4) 9 - log(base 2) 3 --- = 2[log9/log4] - [log3/log2] ------- = 3.1699 - 1.585 = 1.585 ================= Cheers, Stan H.

Functions/206457: how to find the following with one to one functions? GIVEN: g={(-8,-3), (-2,5), (1,0), (5,2)} h(x)=2x+9 now what can be the following? a. g^-1(5)=___ b. h^-1(x)=___ c. (h^-1 o h)(-8)=___ 1 solutions Answer 156008 by stanbon(57290)   on 2009-08-12 14:45:53 (Show Source): You can put this solution on YOUR website! GIVEN: g={(-8,-3), (-2,5), (1,0), (5,2)} h(x)=2x+9 now what can be the following? a. g^-1(5)=___ That is the x-value that goes with y = 5 Ans: -2 ------------------------ b. h^-1(x)=___ That is the x-value that goes with x Answer 2x+9 ------------------------------ c. (h^-1 o h)(-8)=___ = h^-1[h(-8)] =h^-1[-7] That is the x-value that goes with y = -7: -7 = 2x+9 2x = -16 x = -8 -- Ans: h^-1[-7] = -8 ======================= Cheers, Stan H.

Polynomials-and-rational-expressions/206449: I am studying for the compass exam and I see that others have posted the same question: What is the rational expression when r is not equal to plus or minus 2, r^2-5r+6 / r^2-4. What I don't understand is why r^2-5r+6 factors to [(r-3)(r-2)]...please help! 1 solutions Answer 155999 by stanbon(57290)   on 2009-08-12 12:56:43 (Show Source): You can put this solution on YOUR website! You first learn to multiply: 2*3=6 Then you learn to factor: 6=2*3 ----------------------------------------- Your problem: What I don't understand is why r^2-5r+6 factors to [(r-3)(r-2)]... You first learn FOIL: (r-3)(r-2) F: r*r = r^2 O: r*-2= -2r I: -3*r= -3r L: -2*-3= 6 --------------------------- Then you learn to factor: r^2-5r+6 Think of two numbers whose product is 6 and whose sum is -5 The numbers are -2 and -3 Rewrite the problem replacing -5r by -3r-2r r^2-3r-2r+6 Factor the 1st two and the last two terms separately: r(r-3)-2(r-3) Factor again to get the factored answer: (r-3)(r-2) ======================= Hope that helps. Cheers, Stan H.

Quadratic_Equations/206447: what is the equation of a parabola graph? The parabola opens downward. The vertex is (0,2). It also has points (-2,-2) and (2,-2) 1 solutions Answer 155997 by stanbon(57290)   on 2009-08-12 12:49:41 (Show Source): You can put this solution on YOUR website! what is the equation of a parabola graph? The parabola opens downward. The vertex is (0,2). It also has points (-2,-2) and (2,-2) -------------------------- Form: y = a(x-h)^2+k Vertex: h = 0, k = 2 Ao,y = ax^2 +2 --- Using (-2,-2) and (2,-2) you get -2 = 4a +2 a = -1 ================ Equation: y = -x^2+2 ================= Cheers, Stan H.

Mixture_Word_Problems/206440: I am totally lost in this. I have no idea what these symbols even mean. I am getting know where with my professor. Can someone please help and explain. Thank you in advance for your time. Rachel M. Given A = {1, 2, 3, 4}, B = {3, 4, 5, 6,}, and C = {4, 6, 7}. Evaluate each set a) A ∩ B b) A ∩ C c) A U C d) B U C e) (A U B) ∩ C f) A U (B U C) g) (A ∩ B) ∩ C h) (A ∩ B) U C 1 solutions Answer 155994 by stanbon(57290)   on 2009-08-12 11:45:01 (Show Source): You can put this solution on YOUR website! Given A ={1, 2, 3, 4}, B = {3, 4, 5, 6,}, and C = {4, 6, 7}. Evaluate each set a) A ∩ B = {3,4} b) A ∩ C = {4} c) A U C = {1,2,3,4,6,7} d) B U C = {3,4,5,6,7} e) (A U B) ∩ C = {4,6} f) A U (B U C) = {3,4} g) (A ∩ B) ∩ C = {4} h) (A ∩ B) U C {3,4,6,7} ============================== To see more about this search for "Venn diagrams" using Google or other search engine. ============================== Cheers, Stan H.

Polynomials-and-rational-expressions/206444: This question is from an Appendix for an assignment I need to turn in. Can you please help me with the steps to complete the answer? (The question has copied and pasted into this box.) a. Suppose that a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)). Thank you, Snoopyg 1 solutions Answer 155991 by stanbon(57290)   on 2009-08-12 11:32:04 (Show Source): You can put this solution on YOUR website! Suppose that a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)). ------------------------------------- Points:(42,20), (52,10) ----------------------- slope = (10-20)/(52-42) = -10/10 = -1 ------------------------------------------ intercept: Using the form p = mx + b you get 10 = -1*52+b b = 62 ------------------ Equation: p(x) = -x + 62 ----------------------- Cheers, Stan H.

Probability-and-statistics/206390: Find the probability. In one town, 35% of households have a cat, 23% of households have a dog, and 7% have both. What is the probability that a household has a dog if you know that it has a cat? 1 solutions Answer 155979 by stanbon(57290)   on 2009-08-12 09:36:52 (Show Source): You can put this solution on YOUR website! Find the probability. In one town, 35% of households have a cat, 23% of households have a dog, and 7% have both. What is the probability that a household has a dog if you know that it has a cat? -------------------------- P(dog|cat) = P(dog and cat)/P(cat) = 0.07/0.35 = 0.2 ============== Cheers, Stan H.

Problems-with-consecutive-odd-even-integers/206424: This question is from textbook algebra 1 an integrated approach an mp3 player holds 250 songs. write an expression representing how many players are needed if andrea has d songs. 1 solutions Answer 155977 by stanbon(57290)   on 2009-08-12 09:30:17 (Show Source): You can put this solution on YOUR website! an mp3 player holds 250 songs. write an expression representing how many players are needed if andrea has d songs. ----------------------------------------- Ans: d/250 =================== Cheers, Stan H.

Probability-and-statistics/206399: What is the expected value of one of 700 tickets in a raffle for a prize of $ 1400? 1 solutions Answer 155975 by stanbon(57290)   on 2009-08-12 09:27:38 (Show Source): You can put this solution on YOUR website! What is the expected value of one of 700 tickets in a raffle for a prize of $ 1400? ---------------- Assuming that you pay nothing to play the game the expected value is (1/700)*1400 = $2 ======================================== Cheers, Stan H.

Rational-functions/206421: My question is how to multiply a rational expression for example. (3/a^2+a)(2a+2/6) 1 solutions Answer 155974 by stanbon(57290)   on 2009-08-12 09:22:35 (Show Source): You can put this solution on YOUR website! multiply a rational expression for example. (3/a^2+a)(2a+2/6) ----------- Factor: (3/[a(a+1)])*(2(a+1)/6) ---- Cancel factors common to a numerator and a denominator such as 3,2,a+1 to get: ------------- (1/[a])*(1/1) = 1/a =========== Cheers, Stan H.

Probability-and-statistics/206406: This question is from textbook New Syllabus Mathematics D I am unable to solve this question. Please help me know how to solve it. A fair coin is thrown and a card is picked from a suit of 13 diamonds of well-shuffled playing cards. List the sample space. Find the probability of getting (a) A head and a red card (b) A tail and an ace, (c) A head and a picture card, (d) A tail and a card bearing a number divisible by 3, (e) A head and a queen of heart. 1 solutions Answer 155973 by stanbon(57290)   on 2009-08-12 09:16:36 (Show Source): You can put this solution on YOUR website! A fair coin is thrown and a card is picked from a suit of 13 diamonds of well-shuffled playing cards. List the sample space. Find the probability of getting --- These are independent events because the sample space for each share no common elements. --- (a) P(A head and a red card)=P(head)*P(red) = 1/2*1 = 1/2 --------------------------- (b) P(A tail and an ace) = P(tail)*P(ace) = 1/2 * 1/13 = 1/26 --------------------------- (c) P(A head and a picture card)= P(head)*P(picture) = 1/2 * 3/13 = 3/26 --------------------------- (d) P(A tail and a card bearing a number divisible by 3) = (1/2)*3/13=3/26 --------------------------- (e) P(A head and a queen of heart) = P(head)*P(queen) = 1/2*1/13 = 1/26 --------------------------- Cheers, Stan H.

Graphs/206361: This question is from textbook Can someone please help me with this problem: Solve the inequality and graph the solution. |9s-3| < |s+8| 1 solutions Answer 155960 by stanbon(57290)   on 2009-08-11 23:30:56 (Show Source): You can put this solution on YOUR website! Solve the inequality and graph the solution. |9s-3| < |s+8| ------------------------ Solution: -1/2 < s < 11/8 --------------------------------- ======================================================= Cheers, Stan H.

Finite-and-infinite-sets/206366: 15. tell whether the statement is true or false {x/ x is an even counting number between 10 and 16 }= 8 1 solutions Answer 155958 by stanbon(57290)   on 2009-08-11 23:21:26 (Show Source): You can put this solution on YOUR website! tell whether the statement is true or false {x/ x is an even counting number between 10 and 16 }= 8 --------------- False --------------------- {x| x is an even counting number between 10 and 16} = {12,14} ====================================================================== Cheers, Stan H.