Tutor:

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

---

Recent problems solved by 'stanbon'

stanbon answered: 57894 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

Graphs/395081: how do you graph a linear inequality with no x? 1 solutions Answer 280438 by stanbon(57967)   on 2011-01-15 21:17:57 (Show Source): You can put this solution on YOUR website! how do you graph a linear inequality with no x? ----------- Example: Graph y < 6 ---- You NEVER graph an inequality directly. You graph the boundary of the inequality which is ALWAYS an equality. --- 1st: Graph y = 6 as a dashed line. --- 2nd: Since you want y to be LESS than 6, shade the half-plane BELOW the boundary to get: ------------------- cheers, Stan H.

Expressions-with-variables/395133: a real estate broker's base annual salary is 18,000. she earn 3% commission on total sales. how much must she sell in real estate value during the year to earn 65,000? round final answer to the nearest dollar. 1 solutions Answer 280431 by stanbon(57967)   on 2011-01-15 21:09:08 (Show Source): You can put this solution on YOUR website! a real estate broker's base annual salary is 18,000. she earn 3% commission on total sales. how much must she sell in real estate value during the year to earn 65,000? round final answer to the nearest dollar. -------------------- Salary = 18000 + 0.03(total sales) ---- Solve: 65000 = 18000+ 0.03sales --- 0.03sales = 47000 --- sales = $1,566,666.67 --- To nearest dollar: $1,566,667 ==================================== Cheers, Stan H. ==============

Miscellaneous_Word_Problems/395134: Hello can you please help me with a math sentence. Write a true sentence using either < or >. -7.32 _ -7.302 Thank you! 1 solutions Answer 280428 by stanbon(57967)   on 2011-01-15 21:02:01 (Show Source): You can put this solution on YOUR website! Write a true sentence using either < or >. -7.32 < -7.302 ================ Cheers, Stan H.

Quadratic_Equations/395135: Please help me solve this equation: 1 solutions Answer 280427 by stanbon(57967)   on 2011-01-15 20:59:06 (Show Source): You can put this solution on YOUR website! ----- You cannot "solve" a single equation that has two variables. ==================== Cheers, Stan H.

Miscellaneous_Word_Problems/395111: a man pays $8 for a hot dog and a soda. The hot dog is $2 more than the soda. How much does each cost? 1 solutions Answer 280424 by stanbon(57967)   on 2011-01-15 20:41:21 (Show Source): You can put this solution on YOUR website! a man pays $8 for a hot dog and a soda. The hot dog is $2 more than the soda. How much does each cost? --------- Equations: h + s = 8 dollars h = s+2 ----- Substitute for "h" and solve for "s": s+2 + s = 8 2s = 6 s = 3 dollars (price of a soda) --- Solve for "h": h + s = 8 h + 3 = 8 h = 5 dollars (price of a hot dog) ====================================== Cheers, Stan H.

Linear-systems/395130: what do the equations 3x - 2y = 3 and -3x + 2y = 2 have in common 1 solutions Answer 280422 by stanbon(57967)   on 2011-01-15 20:30:49 (Show Source): You can put this solution on YOUR website! what do the equations 3x - 2y = 3 and -3x + 2y = 2 have in common ---- y = (3/2)x-(3/2) y = (3/2)x + 1 ---- The equations have the same slope. The lines are parallel. ===================== Cheers, Stan H.

Linear-equations/395126: wat is an equation for the line that contains ponts (-3, 5) and (1,-3) 1 solutions Answer 280421 by stanbon(57967)   on 2011-01-15 20:27:37 (Show Source): You can put this solution on YOUR website! what is an equation for the line that contains ponts (-3, 5) and (1,-3) --- slope = (5--3)/(-3-1) = -2 ---- Intercept = ? y = mx+b 5 = -2(-3)+b b = -1 ---- Equation: y = -2x -1 ------------------ Cheers, Stan H.

Graphs/395108: high tech graphics bought a fax machine for $750.00. the fax machine depreciates at the rate of $25.00 per month. find a function F that can be used to determime the value of the fax machine t months after purchase 1 solutions Answer 280420 by stanbon(57967)   on 2011-01-15 20:21:27 (Show Source): You can put this solution on YOUR website! high tech graphics bought a fax machine for $750.00. the fax machine depreciates at the rate of $25.00 per month. find a function F that can be used to determime the value of the fax machine t months after purchase ---- F(t) = 750-25t -------------- Cheers, Stan H. ==============

absolute-value/395107: solve the equation and check your solution |3x|=27 1 solutions Answer 280408 by stanbon(57967)   on 2011-01-15 19:08:44 (Show Source): You can put this solution on YOUR website! solve the equation and check your solution |3x|=27 --- 3x = 27 or 3x = -27 x = 9 or x = -9 ===== Cheers, Stan H.

absolute-value/395105: solve the equation and check your solution |x|=13 1 solutions Answer 280407 by stanbon(57967)   on 2011-01-15 19:07:21 (Show Source): You can put this solution on YOUR website! solve the equation and check your solution |x|=13 --- x = 13 or x = -13 ======================== Cheers, Stan H.

absolute-value/395106: solve the equation and check your solution |x|=-7 1 solutions Answer 280406 by stanbon(57967)   on 2011-01-15 19:06:11 (Show Source): You can put this solution on YOUR website! solve the equation and check your solution |x|=-7 ---- Ans: No solutions because an absolute value cannot be negative. ============== Cheers, Stan H. ===========

Unit_Conversion_Word_Problems/395100: If a car travels 22 miles per gallon of fuel (in other words the car does 22 mpg), how many kilometers does it travel per liter of fuel? 1 solutions Answer 280405 by stanbon(57967)   on 2011-01-15 19:04:47 (Show Source): You can put this solution on YOUR website! If a car travels 22 miles per gallon of fuel (in other words the car does 22 mpg), how many kilometers does it travel per liter of fuel? --- I think a gallon is 4 liters --- So 22 miles/gallon = 22 miles/(4 liters) = (11/2)miles/liter = 5.5 miles/liter ======================================= Cheers, Stan H.

Equations/395103: Complete each ordered pair so that it satisfies the given equation. Y= 1.8x +22.6: (1, ), (-10, ), ( , 22.6) 1 solutions Answer 280404 by stanbon(57967)   on 2011-01-15 18:58:31 (Show Source): You can put this solution on YOUR website! Y= 1.8x +22.6: (1, ) f(1) = 1.8+22.6 = 24.4 ------ (-10, ) f(-10) = 1.8(-10)+22.6 = -18+22.6 = 4.6 ------ ( , 22.6) 22.6 = 1.8x+22.6 1.8x = 0 x = 0 ================== Cheers, Stan H. =======

Travel_Word_Problems/395082: An airplane takes 6 hours to travel a distance of 5400km against the wind. The return trip takes 5 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind? Rate of the plane in still air = Rate of wind= 1 solutions Answer 280403 by stanbon(57967)   on 2011-01-15 18:51:39 (Show Source): You can put this solution on YOUR website! An airplane takes 6 hours to travel a distance of 5400km against the wind. The return trip takes 5 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind? ---------------- Against wind DATA: distance = 5400 km ; time = 6 hrs ; rate = 5400/6 = 900 km/h ----- With wind DATA: distance = 5400 km ; time = 5 hrs ; rate = 5400/5 = 1080 km/h ----- Equations: Let p be plane speed in still air. Let w be wind speed. ---- p-w = 900 p+w = 1000 --- Add: 2p = 1900 p = 950 km/h --- Then w = 50 km/h ================== Cheers, Stan H. ========== ---------------------

Graphs/395090: can you help? 5/8x+1/16x=3/16+x. Thank you! Shelly 1 solutions Answer 280400 by stanbon(57967)   on 2011-01-15 18:34:22 (Show Source): You can put this solution on YOUR website! (5/8)x+(1/16)x=(3/16)+ x ---- Multiply thru by 16 to get: 10x + x = 3 + 16x 5x = -3 x = -3/5 =============== Cheers, Stan H. ===========

Graphs/395091: Can you help? x=-5 what is the slope. Thank you! Shelly 1 solutions Answer 280399 by stanbon(57967)   on 2011-01-15 18:29:59 (Show Source): You can put this solution on YOUR website! Can you help? x=-5 what is the slope. Thank you! Shelly -------------- If x = -5, 2 of the points might be (-5,0) and (-5,1) --- slope = (1-0)/(-5--5) = 1/0 which is undefiined. --------------- The line is a vertical line (straight up and down). The slope of any vertical line is undefined. ---- Cheers, Stan H.

Graphs/395087: can you help? in 1990 the life expectancy was 62.3 yrs and in 1995 it was 65.8 using the linear function E(t), what is the life expectancy of males in 2003 using E(13). Thank you! Shelly 1 solutions Answer 280397 by stanbon(57967)   on 2011-01-15 18:23:14 (Show Source): You can put this solution on YOUR website! in 1990 the life expectancy was 62.3 yrs and in 1995 it was 65.8 using the linear function E(t), what is the life expectancy of males in 2003 using E(13). ------- You have 2 points: (0,62.3) and (5,65.8) ---- slope = (65.8-62.3)/(5-0) = 0.7 ---- Form: y = mx + b The y-intercept is 62.3. --- Equation: E(x) = 0.7x+62.3 --- So, E(13) = 0.7(13)+62.3 = 71.4 yrs (life expect. in 2003) =============== Cheers, Stan H. ===============

Complex_Numbers/395063: Find all complex solutions of 2x^2-x+6=0 1 solutions Answer 280393 by stanbon(57967)   on 2011-01-15 17:50:19 (Show Source): You can put this solution on YOUR website! Find all complex solutions of 2x^2-x+6=0 --- Use the quadratic formula. x = [-b+-sqrt(b^2-4ac)]/(2a) ============== Cheers, Stan H.

Quadratic_Equations/395045: Find all solutions of the equation x^2−3x+8=0 and express them in the form a+bi: First with the input b<0 Then with the input b>0 1 solutions Answer 280391 by stanbon(57967)   on 2011-01-15 17:43:07 (Show Source): You can put this solution on YOUR website! x^2−3x+8=0 ----- Use the Quadratic Formula to get: x = [3+-sqrt(9-4*8)]/2 --- x = [3+-sqrt(-23)]/2 ---- x = (3/2) + (sqrt(23)/2)i or x = (3/2)-(sqrt(23)/2)i ====================================================== Cheers, Stan H. ========

Trigonometry-basics/395042: if cot(θ)=-(4/3) what does sin(θ)= and sec(θ)= 1 solutions Answer 280380 by stanbon(57967)   on 2011-01-15 16:42:35 (Show Source): You can put this solution on YOUR website! if cot(θ)=-(4/3) what does sin(θ)= and sec(θ)= ---- Note: cot = x/y So x = +/-4 and y = +/-3 ---- Since you have not said what quadrant theta is in you only know that x and y have opposite signs. ---- But, r = sqrt(x^2 + y^2) = sqrt(4^2+3^2) = 5 ---- If x is negative 4, sec(theta) = 5/-4 If x is positive 4, sec(theta) = 5/4 ----- If y is negative 3, sin(theta) = -3/5 If y is positive 3, sin(theta) = +3/5 ======================================= Cheers, Stan H. =========

Numbers_Word_Problems/395041: The sum of three numbers is 116. The third number is 3 times the second. The second number is 9 more than the first . What are the numbers? First number is _____ Second number is ____ Third number is _____ 1 solutions Answer 280378 by stanbon(57967)   on 2011-01-15 16:31:26 (Show Source): You can put this solution on YOUR website! The sum of three numbers is 116. The third number is 3 times the second. The second number is 9 more than the first . What are the numbers? ----- x + y + z = 116 z = 3y y = x+9 ----- Substitute for z and for y and solve for z. ================ Cheers, Stan H.

Polynomials-and-rational-expressions/395038: Divide and simplify y^2-9/y divided by y-3/y+6? 1 solutions Answer 280377 by stanbon(57967)   on 2011-01-15 16:28:48 (Show Source): You can put this solution on YOUR website! Divide and simplify y^2-9/y divided by y-3/y+6? -------------------- Factor where you can to get: [(y-3)(y+3)/y] / [(y-3)/(y+6)] ---- Invert and multiply to get: [(y-3)(y+3)/y] * [(y+6)/(y-3)] ---- Cancel any factor common to numerator and denominator to get: ---- [(y+3)y] ---- = [(y+3)(y+6)/y] ================== Cheers, Stan H. ==============

Functions/395032: Find the difference quotient f(x+h)-f(x)/h, where h cannot be equal to 0 , for the function below. f(x)=2x^2-x Simplify your answer as much as possible 1 solutions Answer 280376 by stanbon(57967)   on 2011-01-15 16:19:41 (Show Source): You can put this solution on YOUR website! Find the difference quotient f(x+h)-f(x)/h, where h cannot be equal to 0 , for the function below. f(x+h) = (2(x+h)^2)-(x+h) --- = 2x^2+4xh+2h^2-x-h --- = 2x^2+4xh-x+2h^2-h ============================ f(x)=2x^2-x ------- Subtract the f(x) from the f(x+h) to get: 4xh+2h^2-h ----- Now divide by "h" to get: 4x+2h-1 =================== Cheers, Stan H.

decimal-numbers/395034: I would like to know how to divide a negative number with a decimal. example: - 64/0.8 = ? 1 solutions Answer 280375 by stanbon(57967)   on 2011-01-15 16:12:30 (Show Source): You can put this solution on YOUR website! I would like to know how to divide a negative number with a decimal. example: Let x = -64/0.8 -------- x =-64/(8/10 --- x = -640/8 --- x = -80 ======= Cheers, Stan H. =======

Age_Word_Problems/395033: Ariel is 2 years older than twice Juan's age and Felix is 6 years older than Juan. If the sum of their ages is 80, how old is each person? 1 solutions Answer 280373 by stanbon(57967)   on 2011-01-15 16:06:06 (Show Source): You can put this solution on YOUR website! Ariel is 2 years older than twice Juan's age and Felix is 6 years older than Juan. If the sum of their ages is 80, how old is each person? -------------------- Equations: a = 2j+2 f = j+6 a + f + j = 80 ----- Substitute for a and f and solve for "j": 2j+2 + j+6 + j = 80 4j = 72 j = 18 (Juan's age) --- Solve for "a": a = 2j+2 a = 36+2 = 38 (Ariel's age) ---- Solve for "f": f = j+6 f = 24 (Felix's age) ---- Cheers, Stan H. =========

Polynomials-and-rational-expressions/394913: Find the LCM for 14z^2+56z and 7z^2+49z+84? 1 solutions Answer 280307 by stanbon(57967)   on 2011-01-15 10:30:46 (Show Source): You can put this solution on YOUR website! Factor each expression: ------------------------------ Find the LCM for 14z^2+56z = 2*7z(z+4) ------------------ 7z^2+49z+84 = 7(z^2+7z+12) = 7(z+3)(z+4) --------------------- The LCM must contain all the factors of the 2 expressions in their highest power: --- LCM = 2*7*z(z+3)(z+4) ======================== Cheers, Stan H. ==============

Probability-and-statistics/394954: A coin is tossed 5 times. Calculate the following probabilities: a) Head appears on the 1st toss. b) Head appears on both the first and second tosses. c) Head appears once during the 5 tosses. d) Head appears more than twice during the 5 toss. 1 solutions Answer 280306 by stanbon(57967)   on 2011-01-15 10:22:14 (Show Source): You can put this solution on YOUR website! A coin is tossed 5 times. Calculate the following probabilities: a) Head appears on the 1st toss:: 1/2 ------------------------------------------- b) Head appears on both the first and second tosses:: (1/2)^2 = 1/4 ------------------------------------------- c) Head appears once during the 5 tosses:: 5C1(1/2)^5 = 5/32 --------------------------------------------- d) Head appears more than twice during the 5 toss:: 5C3(1/2)^5 + 5C4(1/2)^5 + 5C5(1/2)^5 = (10+5+1]/32 = 1/2 ================== Cheers, Stan H.

Circles/394951: give the equation of the circle (in general form) that has the given center and radius length. 1.) (4,0);r=2 2.) (-2,-1);r=5 1 solutions Answer 280305 by stanbon(57967)   on 2011-01-15 10:17:50 (Show Source): You can put this solution on YOUR website! give the equation of the circle (in general form) that has the given center and radius length. 1.) (4,0);r=2 2.) (-2,-1);r=5 ------ Method: If the center is (h,k) and the radius = r the equation is (x-h)^2 + (y-k)^2 = r^2 ======================= Cheers, Stan H.

Probability-and-statistics/394949: Suppose you draw 2 cards from a deck of 52 cards. a) What is the probability that both cards are spades? b) What is the probability that at least one card is a spade? 1 solutions Answer 280304 by stanbon(57967)   on 2011-01-15 10:15:34 (Show Source): You can put this solution on YOUR website! Suppose you draw 2 cards from a deck of 52 cards. a) What is the probability that both cards are spades? 13C2/52C2 = 0.0588 ---------------------------------- b) What is the probability that at least one card is a spade? 1-P(no card is space) = 1-39C2/52C2 = 1 - 0.5588 = 0.4412 --------------- Cheers, Stan H.

Rectangles/394946: what's the length in radical form of a diagnol whose side is 10 ? 1 solutions Answer 280303 by stanbon(57967)   on 2011-01-15 10:12:11 (Show Source): You can put this solution on YOUR website! what's the length in radical form of a diagnol whose side is 10 ? ---- Use Pythagoras to get: d^2 10^2+10^2 --- d^2 = 200 --- d = 10sqrt(2) ================== Cheers, Stan H.

Evaluation_Word_Problems/394941: When a ball is thrown up into the air, it makes the shape of a parabola. The equation S= -5t^2 + v*t + k gives the height of the ball at any time, t in seconds, where “v” is the initial velocity (speed) in meters/sec and “k” is the initial height in meters (as if you were on top of a tower or building). Make up a scenario where a ball is thrown, shot, etc. into the air. You can choose any initial velocity (in meters/sec) and any initial height (in meters) of the ball, but include them in your written scenario. The ball can leave your hand, the top of a building, etc. so you can use many different values for the initial height. 1.Insert the chosen values for “v” and “k” into the formula listed above. 2.Use the formula to find the height of the ball at any two values of time, t, in seconds that you want. Show your calculations and put units on your final answer! 3.Provide a written summary of your results explaining them in the context of the original problem. Please make sure that your answers make sense! my scenario is: my 11 year old son holds his footballin his hand around 4 feet, he threw the ball up and outward towards his brother which took two seconds to get to him at the highest height of 20feet 1 solutions Answer 280292 by stanbon(57967)   on 2011-01-15 09:26:30 (Show Source): You can put this solution on YOUR website! my scenario is: my 11 year old son holds his footballin his hand around 4 feet, he threw the ball up and outward towards his brother which took two seconds to get to him at the highest height of 20feet ------------- Formula for height of the ball at time = t seconds. h(t) = -16t^2+vot+so where vo is the initial velocity of the object and so is the height (in feet) at which the object is thrown. -------------------------- Solve: 20 = -16(2^2)+vo(2)+4 --- 16 = -64 + 2vo 80 = 2vo vo = 40 ft/sec ------ Comment: This is what your problem statement says: Make up a scenario where a ball is thrown, shot, etc. into the air. You can choose any initial velocity (in meters/sec) and any initial height (in meters) of the ball, but include them in your written scenario. The ball can leave your hand, the top of a building, etc. so you can use many different values for the initial height. 1.Insert the chosen values for “v” and “k” into the formula listed above. 2.Use the formula to find the height of the ball at any two values of time, t, in seconds that you want. Show your calculations and put units on your final answer! 3.Provide a written summary of your results explaining them in the context of the original problem." ------------------- Comment: You are supposed to provide an initial velocity and initial height and then find the time. So let vo = 40 ft/sec and let so = 4 ft. Then solve for the height of the ball at 1 sec and again at 2 seconds. --- h(t) = -16t^2+40t+4 ---- h(1) = -16+40+4 = 28 ft h(2) = -16(4)+40(2)+4 = 20 ft --- Hope this helps. Cheers, Stan H.