Tutor:

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

---

Recent problems solved by 'stanbon'

stanbon answered: 57899 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 , 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 , 57870..57899, >>Next

Human-and-algebraic-language/235733: I'm going to type the word problem. Help me with this. Mary's class took two tests last week. 80% of the class passed the math test, 90% of the class passed the English test, and 72% of the class passed both. What is the probability that a randomly selected student in Mary's class failed both tests? Express your answer as a percent rounded to the nearest tenth of a percent. 1 solutions Answer 173548 by stanbon(57972)   on 2009-11-05 20:32:29 (Show Source): You can put this solution on YOUR website! Mary's class took two tests last week. 80% of the class passed the math test, 90% of the class passed the English test, and 72% of the class passed both. What is the probability that a randomly selected student in Mary's class failed both tests? Express your answer as a percent rounded to the nearest tenth of a percent. -------- P(passed M or passed E) = P(M) + P(E) - P(M and E) P(passed Math or Eng) = 0.8 + 0.9 - 0.72 = 0.98 ----- P(did not pass Math or Eng) = 1-0.98 = 0.02 ------------------------------------------------ Cheers, Stan H.

Rational-functions/235603: help me solve this problem : X1/2 -(X-5)1/2 =2 1 solutions Answer 173540 by stanbon(57972)   on 2009-11-05 19:47:02 (Show Source): You can put this solution on YOUR website! help me solve this problem : X^(1/2) -(X-5)^(1/2) = 2 ---- Square both sides to get: x -2sqrt[x(x-5)] + x-5 = 4 2x-5-4 = 2[sqrt(x^2-5x)] Simplify: 2x-9 = 2[sqrt(x^2-5x)] --- Square both sides to get: 4x^2 - 36x + 81 = 4(x^2-5x) 4x^2 - 36x + 81 = 4x^2 - 20x 16x = 81 x = 81/16 ============================= Cheers, Stan H.

Numbers_Word_Problems/235689: I am desperately trying to expain how to predict and test problem solving,is only a third grader and has not been taught algebra so not able to explain that way. problems are as such... Peter delievers 110 newspapers on the weekend. He delivers 20 more papers on Sunday than on Saturday. How many papers does he deliver each day? 1 solutions Answer 173533 by stanbon(57972)   on 2009-11-05 19:22:18 (Show Source): You can put this solution on YOUR website! Peter delivers 110 newspapers on the weekend. He delivers 20 more papers on Sunday than on Saturday. How many papers does he deliver each day? ----------------------------- Let number delivered on Saturday be "x". Then number delivered on Sunday is "x+20". ----------------- Equation: x + x+20 = 110 2x + 20 = 110 2x = 90 x = 45 (# he delivers on Saturday) x+20 = 65 (# he delivers on Sunday) ====================================== Cheers, Stan H.

Graphs/235686: Please find the vertex, y intercept and x intercept and graph the following equation: x^2 + 8x + 7 = 1 solutions Answer 173532 by stanbon(57972)   on 2009-11-05 19:19:00 (Show Source): You can put this solution on YOUR website! Please find the vertex, y intercept and x intercept and graph the following equation: x^2 + 8x + 7 = y ------------------- Vertex occurs where x = -b/2a = -8/2 = -4 f(-4) = (-4)^2+8(-4)+7 = 16-32+7 = -9 So vertex is (-4,-9) ---------------------------- y-intercept at f(0) = 7 --- x-intercepts when y = 0: x^2+8x+7 = 0 (x+7)(x+1) = 0 x = -7 or x = -1 Those are the x-intercepts. ================================ ================================ Cheers, Stan H.

Expressions-with-variables/235614: Rewrite the equation so that x is a function of y and then use the result to find x when y =-2 4(5-y)=14x+3 1 solutions Answer 173530 by stanbon(57972)   on 2009-11-05 19:13:07 (Show Source): You can put this solution on YOUR website! Rewrite the equation so that x is a function of y and then use the result to find x when y =-2 4(5-y)=14x+3 20-4y = 14x + 3 -4y = 14x - 17 y = (-14/4)x + (17/4) ----------------------------- If y = -2 solve for "x": 4(5-y) = 14x+3 4(7) = 14x+3 25 = 14x x = 25/14 --------------- Cheers, Stan H.

Polynomials-and-rational-expressions/235617: I am supposed to evaluate the polynomial when x = -4: 2x^2-2x+9 -16-(-16)+9= -16+16+9=9 The answer is 9? The negative 16 at the beginning confused me, I wasn't sure if it becomes paoitive or not. 1 solutions Answer 173526 by stanbon(57972)   on 2009-11-05 19:07:31 (Show Source): You can put this solution on YOUR website! I am supposed to evaluate the polynomial when x = -4: 2x^2-2x+9 -------------- 2(-4)^2 - 2(-4) + 9 --- 2(16) + 8 + 9 --- 49 ======================== Cheers, Stan H.

Quadratic_Equations/235622: 6. Solve the equation by factoring. z2 + 3z + 2 = 0 (1 point) * z = –2 or z = –1 * z = –2 or z = 1 * z = 2 or z = –1 * z = 2 or z = 1 1 solutions Answer 173524 by stanbon(57972)   on 2009-11-05 19:04:52 (Show Source): You can put this solution on YOUR website! Solve the equation by factoring. z^2 + 3z + 2 = 0 Factor: (z+2)(z+1) = 0 z = -2 or z = -1 ====================== Cheers, Stan H.

Percentage-and-ratio-word-problems/235628: If a chart that lists a census of people (175,104,000) who believe in "Look before you leap" and is approximently 7/10ths of the population. What is the total population? 1 solutions Answer 173522 by stanbon(57972)   on 2009-11-05 19:02:29 (Show Source): You can put this solution on YOUR website! If a chart that lists a census of people (175,104,000) who believe in "Look before you leap" and is approximently 7/10ths of the population. What is the total population? ------------------------- Let the total population be "x". --- Equation: (7/10)x = 175,104,000 x = (10/7)(175,104,000) x = 250148571.4 Round down to a whole number. ===================================== Cheers, Stan H.

Rectangles/235662: the width of a rectangular poster is one half of its length. the area of the poster is 128sq ft what is the width of the poster? 1 solutions Answer 173519 by stanbon(57972)   on 2009-11-05 18:58:08 (Show Source): You can put this solution on YOUR website! the width of a rectangular poster is one half of its length. the area of the poster is 128sq ft what is the width of the poster? --------------------------------- Let the length be x : Then the width is x/2: ------------------------- Equation: Area = length * width 128 = x*(x/2) x^2 = 256 x^2-256 = 0 x^2-2^8 = 0 (x-2^4)(x+2^4) = 0 Positive Solution: x = 16 ft. ------------------ x/2 = 8 ft. (width) ========================= Cheers, Stan H.

Miscellaneous_Word_Problems/235674: I need help with this problem: Two numbers; one is ten times greater than the other; their sum is equal to their product. I have used trial and error and am just not getting it. Thanks, Cathy 1 solutions Answer 173516 by stanbon(57972)   on 2009-11-05 18:53:24 (Show Source): You can put this solution on YOUR website! Two numbers; one is ten times greater than the other; their sum is equal to their product. ----------------------- Let one of the numbers be "x". The other number is "10x". ------------------------------ Equations: x + 10x = x(10x) 11x = 10x^2 --- 10x^2-11x = 0 x(10x-11) = 0 Positive solution: 10x-11 = 0 x = 11/10 = 1.1 (1st number) 10x = 11 (2nd number) ============================== Cheers, Stan H.

Probability-and-statistics/235546: a manufacture of tv tubes has for many years used a process giving a mean tube life of 4900 hrs and a standard deviation of 1200 hours. A new process is tried to see if it will increase the life significantly. A sample of 100 new tubes gave a mean life of 5000 hrs. Is the new process better than the old process at 1% level of significant? Construct hypotheses test it and interpret the result. 1 solutions Answer 173515 by stanbon(57972)   on 2009-11-05 18:49:56 (Show Source): You can put this solution on YOUR website! a manufacture of tv tubes has for many years used a process giving a mean tube life of 4900 hrs and a standard deviation of 1200 hours. -------------------------------------------------------------------- A new process is tried to see if it will increase the life significantly. A sample of 100 new tubes gave a mean life of 5000 hrs. -------------------------------------------------------------------- Is the new process better than the old process at 1% level of significant? Construct hypotheses test it and interpret the result. --------------------- Ho: u = 4900 Ha: u > 4900 (claim) ------------------------- Test statistic: t(5000) = (5000-4900)/[1200/Sqrt(100)] =1000/1200= 0.8333.. ------------------------------- p-value: P(t>0.8333 with df=99) = 0.2033 --------------------------------- Since the p-value is greater than 1% do not reject Ho. The new process is not an improvement over the old process. ============================================================ Cheers, Stan H.

Probability-and-statistics/235577: a miniature golf course offers a free game to golfers who make a hole-in-one on the last hole.Last week, 56 out of 270 golfers made a hole-in-one on the last hole.Find the experimental probability that a golfer makes a hole-in-one on the last hole.please round your answer to two decmial places. 1 solutions Answer 173506 by stanbon(57972)   on 2009-11-05 18:33:47 (Show Source): You can put this solution on YOUR website! a miniature golf course offers a free game to golfers who make a hole-in-one on the last hole.Last week, 56 out of 270 golfers made a hole-in-one on the last hole.Find the experimental probability that a golfer makes a hole-in-one on the last hole.please round your answer to two decmial places. -------------------- Based on one week's data the probability is 56/270 = 0.2074.. Cheers, Stan H.

Travel_Word_Problems/235562: How many minutes will it take an airplane flying at 370mph to intercept another airplane that is 95 miles away if the second airplane is heading toward the first at 200mph? 1 solutions Answer 173469 by stanbon(57972)   on 2009-11-05 15:37:18 (Show Source): You can put this solution on YOUR website! How many minutes will it take an airplane flying at 370mph to intercept another airplane that is 95 miles away if the second airplane is heading toward the first at 200mph? ---------------------------- The rate difference = 370-200 = 170 mph ------------------------- The time to close a 95 mile gap is 95/170 = 0.5588 hrs. 0.5588 hrs = (0.5588*60 min) = 33.53 minutes ================================================== Cheers, Stan H.

Probability-and-statistics/235550: The apollo space craft program lasted from 1967 to 1972 and incl 13 missions. The missions lasted from as little as 7 hrs to as long as 301 hrs. The duration of each flight is listed below: 9-195-241-301-216-260-7-244-192-147-10-295-142- Is this dataset a sample or a population? find the mmean and median of the flight time? Find the range and quartile range of the flight times. 1 solutions Answer 173468 by stanbon(57972)   on 2009-11-05 15:33:24 (Show Source): You can put this solution on YOUR website! The apollo space craft program lasted from 1967 to 1972 and incl 13 missions. The missions lasted from as little as 7 hrs to as long as 301 hrs. The duration of each flight is listed below: 9-195-241-301-216-260-7-244-192-147-10-295-142- Is this dataset a sample or a population? It is the population of the set of flights described. It is a sample from the set of all space flights. --------------------------------------------------------- find the mmean and median of the flight time? mean: add the numbers and divide by 13 to get 166.08 median is the middle number after putting the numbers in order: 195 Find the range and quartile range of the flight times. range = max-min = 301-7 = 294 ----------------- I'll leave quartile range to you. ==================================== Cheers, Stan H.

Probability-and-statistics/235547: Tthe mean amount purchased by each customer at a casino is 23.50 euros. The population is positively skewed and the standard deviation is not known. A MARKETING REseARCHER TOOK A sample of 50 customers. If the standard deviation of the sample is 5 euros, what is the likelihood that the sample mean is greater than 22.5 but less then 25 euros 1 solutions Answer 173467 by stanbon(57972)   on 2009-11-05 15:26:57 (Show Source): You can put this solution on YOUR website! The mean amount purchased by each customer at a casino is 23.50 euros. The population is positively skewed and the standard deviation is not known. A MARKETING REseARCHER TOOK A sample of 50 customers. If the standard deviation of the sample is 5 euros, what is the likelihood that the sample mean is greater than 22.5 but less then 25 euros -------------- Although the population is not normally distributed, the sample means will tend toward normality as n gets larger. ----------------- Mean of the sample means: 23.50 If 5 euros is the std of the population, 5/Sqrt(50) is std of sample means: t(25) = (25-23.5)/[5/sqrt(50)] = 2.1213 t(22.5) = (22.5-23.5)/[5/sqrt(50)] = -1.4142 -------------------------------------------------- P(22.5 < x < 25) = P(-1.4142 < t < 2.1213 with df=49) = 0.8987 =================================================================== Cheers, Stan H.

Mixture_Word_Problems/235504: outline the steps you would use to prepare a 10% salt solution from a 25% salt solution for a 100 ml. 1 solutions Answer 173455 by stanbon(57972)   on 2009-11-05 13:00:58 (Show Source): You can put this solution on YOUR website! outline the steps you would use to prepare a 10% salt solution from a 25% salt solution for a 100 ml. ------------------ Equation: salt + salt = salt 0.25x + 0(100-x) = 0.10(100 ml) Multiply both sides by 100 to get: 25x = 10(100) x = 1000/25 = 40 ml (amount of 10% solution you need in the mix) 100-x = 60 ml (amount of water you need in the mix) ======================================================= Cheers, Stan H.

Quadratic_Equations/235508: For these problems I need use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. It is not necessary to find the roots; just determine the number and types of solutions. 2x^2 + 5x + 5 = 0 1 solutions Answer 173454 by stanbon(57972)   on 2009-11-05 12:55:08 (Show Source): You can put this solution on YOUR website! just determine the number and types of solutions. 2x^2 + 5x + 5 = 0 --- a = 2 ; b = 5 ; c = 5 --- discriminant = b^2-4ac = 25 -4*2*5 = -15 ================================================= Since the discriminant is negative the quadratic has two unequal Complex Number solutions. ================================================= Cheers, Stan H

Systems-of-equations/235480: A man did a job for $360. It took him 6 hours longer than he expected and therefore he earned $2 per hour less than he anticipated. How long did he expect that it would take to do the job? 1 solutions Answer 173453 by stanbon(57972)   on 2009-11-05 12:52:00 (Show Source): You can put this solution on YOUR website! A man did a job for $360. It took him 6 hours longer than he expected and therefore he earned $2 per hour less than he anticipated. How long did he expect that it would take to do the job? -------- Let the time he expected to use be "x" hrs. ------------------------------------------------- He received 360/(x+6) dollars per hour. --------------- He expected to make 360/x dollars per hour ------------------- Equation: Expected rate - received rate = 2 dollars 360/x - 360/(x+6) = 2 Multiply thru by x(x+6) to get: 360(x+6) - 360x = 2x(x+6) 2x^2 + 12x - 360*6 = 0 x^2 + 6x - 1080 = 0 (x-30)(x+36) = 0 Positive solution: x = 30 hrs (amount of time he expected to work to do the job) Cheers, Stan H.

Triangles/235485: two angles of a triangle measure 15 degree and 85 degree. what is the measure for the third angle? 1 solutions Answer 173452 by stanbon(57972)   on 2009-11-05 12:41:43 (Show Source): You can put this solution on YOUR website! two angles of a triangle measure 15 degree and 85 degree. what is the measure for the third angle? ------- Sum of the angles of a triangle = 180 degrees --------------- Let the 3rd angle have meansure "x": --- Equation: x + 15 + 85 = 180 x + 100 = 180 x = 80 degrees. ===================== Cheers, Stan H.

logarithm/235481: 4log4 6 - log 4 5, evaluate without a calcuator 1 solutions Answer 173451 by stanbon(57972)   on 2009-11-05 12:39:30 (Show Source): You can put this solution on YOUR website! 4log4 6 - log 4 5, evaluate without a calculator ------------------- log4 [(6^4)/5] = 4.00896... ------------------- I can't imagine how you would get that answer without a calculator. ------------------- Cheers, Stan H.

Rectangles/235487: Question is Area = 35sq ft and Perimeter = 27 ft. Solve for Length in the Perimeter. I have P = 2(W) x 2(L) and that would be 27= 2(W)x 2(L) and then move 2(W) to the other side so 27-2(W) = 2(L) then divide both by 2. 27-2(W)/2 = L. But I can't figure it out. Nothing makes 35sq ftof area and 27 feet in a perimeter. My only options as I see it are 35 and 1 or 7 and 5. Someone please help me figure this out. 1 solutions Answer 173449 by stanbon(57972)   on 2009-11-05 12:33:54 (Show Source): You can put this solution on YOUR website! Area = 35sq ft and Perimeter = 27 ft. Solve for Length in the Perimeter. ----------- Area = LW Perimeter = 2(L+W) ------------------------ Substitute and solve: 35 = LW 27 = 2(L+W) ---------------- L = 35/W ------ Substitute into the Perimeter equation and solve for W: 13.5 = (35/W)+ W Multiply thru by W and solve: W^2 -13.5W + 35 = 0 W = [13.5 +- sqrt(13.5^2-4*1*35)]/2 W = [13.5 +- sqrt(42.25)]/2 Positive solution: W = 20/2 = 10 ft. (the width of the rectangle) L+W = 13.5 so L = 3.5 ft. (length of the rectangle) ========================================================= Cheers, Stan H.

Polynomials-and-rational-expressions/235500: Factor completely ...not sure even how to go about doing this problem.... 8x(5th power)y³-6x(4th power)y(5th power)+12x²y³ 1 solutions Answer 173445 by stanbon(57972)   on 2009-11-05 12:20:39 (Show Source): You can put this solution on YOUR website! Factor completely ...not sure even how to go about doing this problem.... 8x(5th power)y³-6x(4th power)y(5th power)+12x²y³ ----- 8x^5y^3 - 6x^4y^5 + 12x^2y^3 -------------------------------- Common Factor: 2x^2y^3 -------------------------------- = 2x^2y^3(4x^3 - 3x^2y^2 + 6) =================================== Cheers, Stan H.

Trigonometry-basics/235501: if sin 0 = 4/5 and tan 0= 4/3,what is the value of cos 0? 1 solutions Answer 173443 by stanbon(57972)   on 2009-11-05 12:15:41 (Show Source): You can put this solution on YOUR website! if sin 0 = 4/5 and tan 0= 4/3,what is the value of cos 0? ---------------- If sin and tan are both positive theta is in the 1st quadrant. If sin(theta) = 4/5, y = 4 and r = 5 Then x = sqrt(4^2+5^2) = sqrt(41) = --------------- So, cos(theta) = x/r = sqrt(41)/5 ============================================ Cheers, Stan H.

Quadratic_Equations/235498: What is the accumulated sum of each of the following streams of payments? a. $500 a year for 10 years compounded annually at 5 percent 1 solutions Answer 173441 by stanbon(57972)   on 2009-11-05 12:11:20 (Show Source): You can put this solution on YOUR website! What is the accumulated sum of each of the following streams of payments? a. $500 a year for 10 years compounded annually at 5 percent ----------- A(t) = P(1+(r/n))^(nt) ---------------------------- A(10) = 500(1+(0.05/1)^(1*10) A(10) = 500(1.05)^10 A(10) = 500*1.6289 A(10) = $814.45 ==================== Cheers, Stan H.

Linear-equations/235492: find the slop of a line through points (-1,3) (2,7) 1 solutions Answer 173439 by stanbon(57972)   on 2009-11-05 12:05:06 (Show Source): You can put this solution on YOUR website! find the slope of a line through points (-1,3) (2,7) ------------ slope = (7-3)/(2--1) = 4/3 ============================= Cheers, Stan H.

Polynomials-and-rational-expressions/235470: if 0, 2, -2, 3, and 4-i are zeros of a polynomial with real coefficents, what is the smallest possible degree of the polynomial? 1 solutions Answer 173424 by stanbon(57972)   on 2009-11-05 11:15:00 (Show Source): You can put this solution on YOUR website! if 0, 2, -2, 3, and 4-i are zeros of a polynomial with real coefficents, what is the smallest possible degree of the polynomial? ----------- Since the coefficients are Real Numbers, 4+i must also be a zero of the polynomial. ----------- Therefore the lowest degree it could have is 6. Cheers, Stan H.

Numbers_Word_Problems/235467: How many liters of a 40% solution and an 16% solution must be mixed to obtain 20 liters of a 22% solution? 1 solutions Answer 173423 by stanbon(57972)   on 2009-11-05 11:12:29 (Show Source): You can put this solution on YOUR website! How many liters of a 40% solution and 16% solution must be mixed to obtain 20 liters of a 22% solution? ------------------- Equation: 0.40x + 0.16(20-x) = 0.22(20) --------------------------------- Multiply thru by 100 to get: 40x + 16*20 - 16x = 22*20 24x = 6*20 x = 5 liters (amount of 40% solution needed in the mixture) --------- 20-x = 20-5 = 15 liters (amount of 16% solution needed in the mixture) =========================== Cheers, Stan H.

Inequalities/235461: Please I need help with this problem: 1. The number of publishers in the usa has increased approximately linearly from 40,964 in 1993 to 73,200 publishers in 2003. Let n be the number of publishers at t years since 1990 (a) find an equation of a linear model to describe the data. (b) what is the slope? what does it mean in this situation? (c) what is the n intercept? what does it mean in this situation? 1 solutions Answer 173422 by stanbon(57972)   on 2009-11-05 11:07:29 (Show Source): You can put this solution on YOUR website! Please I need help with this problem: 1. The number of publishers in the usa has increased approximately linearly from 40,964 in 1993 to 73,200 publishers in 2003. Let n be the number of publishers at t years since 1990 --- You have two points (t,n): (3,40,964) and (13,73,200) slope = (73200-40964)/10 = 3223.6 intercept = ? 40,964 = 3223.6*3 + b b = 31293.2 Equation: f(t) = 0.322.6n + 31293.2 --------------------------------------------------- The slope means the number of publishers increased by 3224 each year after 1993 The n-intercept = (0,31293) means that in 1990 the number of publishers was 31293 according to the model. --------------------------------------------------- (a) find an equation of a linear model to describe the data. (b) what is the slope? what does it mean in this situation? (c) what is the n intercept? what does it mean in this situation? =================================================== Cheers, Stan H.

Quadratic_Equations/235457: -0.5x^+175x-3300=0 1 solutions Answer 173417 by stanbon(57972)   on 2009-11-05 10:51:26 (Show Source): You can put this solution on YOUR website! -0.5x^2+175x-3300=0 === I graphed it and found a root at x = 20 -0.5(x^2-175x+3300) = 0 -0.5(x-20)(x-330)= 0 --- x = 20 or x = 330 ========================= Cheers, Stan H.

Word_Problems_With_Coins/235319: Penelope has several coins, all nickels and quarters in her piggy bank. The total amount of money that she has is $15.65. If Penelope has 13 more nickels than quarters, how many quarters does she have? 1 solutions Answer 173381 by stanbon(57972)   on 2009-11-04 22:48:27 (Show Source): You can put this solution on YOUR website! Penelope has several coins, all nickels and quarters in her piggy bank. The total amount of money that she has is $15.65. If Penelope has 13 more nickels than quarters, how many quarters does she have? ------------------- Quantity Eq:::: n = q + 13 Value Eq::::::: 5n + 25q = 1565 cents ---------------------------------------------- Substitute for n and solve for q: 5(q+13) + 25q = 1565 30q + 65 = 1565 30q = 1500 q = 50 (# of quarters) ================================ Cheers, Stan H.

Percentage-and-ratio-word-problems/235320: Mrs. Smith needed 2 3/4 cups of sugar to make fudge and 2 3/8 cups to make ice cream. How much did she need all together? 1 solutions Answer 173380 by stanbon(57972)   on 2009-11-04 22:41:59 (Show Source): You can put this solution on YOUR website! Mrs. Smith needed 2 3/4 cups of sugar to make fudge and 2 3/8 cups to make ice cream. How much did she need all together? ----------------------------------------- 2 3/4 + 2 3/8 = 11/4 + 19/8 = 22/8 + 19/8 = 41/8 = 5 1/8 cups =================== Cheers, Stan H.