New!
Get regular updates about newly solved problems
via algebra.com's RSS system.
Recent problems solved by 'Alan3354'
Alan3354 answered: 30963 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, >>NextMixture_Word_Problems/319752: I have tried to solve to AW=L and so on... the answer is 150L but I cant figure out the formula. The question is "How many liters of a 20% alcohol solution should Maria mix with 50 liters of a 60% alcohol solution to obtain a 30% solution?" the answer is 150L of the 20% solution. I think I'm doing too much. Ive figured out the following...
If L = Liters
LA = Liters of Alcohol
LW = Liters of Whatever
the 50 liter mix of the 60% solution = .012 to 1
if 60% of the solution = LA
then 40% = LW.
so(0.012LA)(50L)=0.6LA+0.4LW x 50= 50L?
20% of 1L = 0.2LA with 0.80LW
I still dont understand where I'm going wrong... my assignment is due Tuesday... wow, I'm super confused. Please help me!
1 solutions
Answer 229005 by Alan3354(30983)   on 2010-07-05 04:11:11 (Show Source):
You can put this solution on YOUR website!How many liters of a 20% alcohol solution should Maria mix with 50 liters of a 60% alcohol solution to obtain a 30% solution?
---------------------
Add x liters of 20%
The total volume will be x + 50
0.2x + 0.6*50 = (x + 50)*0.3 is the amount of alcohol
0.2x + 30 = 0.3x + 15
x = 150 liters
|
Geometry_Word_Problems/319498: My bicycle has a rear wheel whose diameter is 1.2 times as big as the diameter of
the front wheel. As I ride my bicycle, if the front wheel turns 120 times, how many times the rear wheel will turn?
1 solutions
Answer 228973 by Alan3354(30983) on 2010-07-04 21:44:31 (Show Source):
|
Points-lines-and-rays/319677: Use the distance formula to determine whether the points lie on the same line: (0,-4), (2,0), (3,2)
(The only way I thought of doing this question is forming a right triangle with two of the points as the hypotenuse and plot the other point, but that really doesn't have so much to do with the distance formula. I have no idea how an equation made to house two points (which is what a line is, basically) can determine the presence of a third point given something as exclusive as distance, which would have to change anyway. But maybe that's just my way of thinking about it.)
1 solutions
Answer 228963 by Alan3354(30983) on 2010-07-04 20:47:21 (Show Source):
You can put this solution on YOUR website!Use the distance formula to determine whether the points lie on the same line: (0,-4), (2,0), (3,2)
(The only way I thought of doing this question is forming a right triangle with two of the points as the hypotenuse and plot the other point, but that really doesn't have so much to do with the distance formula. I have no idea how an equation made to house two points (which is what a line is, basically) can determine the presence of a third point given something as exclusive as distance, which would have to change anyway. But maybe that's just my way of thinking about it.)
-----------------------
I don't understand your approach, but I don't see how the distance formula would help, either.
Label the points A, B & C for convenience.
A(0,-4), B(2,0), C(3,2)
Find the slope of AB and the slope of BC.
If they're equal, and share the middle point, B, then they're colinear.
|
Miscellaneous_Word_Problems/319696: A siren that has a normal frequency of 1500 hertz is approaching you at 80 mph. What is the pitch that you will hear?
1 solutions
Answer 228959 by Alan3354(30983) on 2010-07-04 20:24:13 (Show Source):
You can put this solution on YOUR website!You didn't specify a temperature or altitude to determine the speed of sound.
I'll use 700 mph as the speed of sound.
-----------------
Frequency
The equation for the observed frequency of sound when the source is traveling toward you is:
fo = fv/(v − vt)
where
fo is the observed frequency
f is the emitted frequency
v is the velocity of sound
vt is the velocity of the source toward you
v > vt (vt is less than v)
-------------
fo = 1500*700/(700 - 80)
fo =~ 1694 Hz
|
Linear-equations/319679: May I have some help on this? If there are 1400 teachers in the district, how many are married with children? when:
42% = married with no children
16% = single with no children
9% = single parent
33% - married with no children
1 solutions
Answer 228957 by Alan3354(30983) on 2010-07-04 20:08:01 (Show Source):
|
Polynomials-and-rational-expressions/319692: The weight of an object on a small planet in Alpha Centauri is governed by the following equation:
w=c*r to the negative 1/2 root
Here, C is a constant, and r is the distance that the object is from the center of the planet.
Solve the above equation for r.
1 solutions
Answer 228928 by Alan3354(30983) on 2010-07-04 19:09:54 (Show Source):
You can put this solution on YOUR website!The weight of an object on a small planet in Alpha Centauri is governed by the following equation:
w=c*r to the negative 1/2 root
Here, C is a constant, and r is the distance that the object is from the center of the planet.
Solve the above equation for r.
--------------------
|
logarithm/319660: Hi, This is my last problem on my homework for the nite and it is due tonite. I got all my other work done with no problem but am having an issue with this one.
Express the formula so that the expression in brackets is written as a single logarithim.
Here is the formula... t= 1/c [ln A - ln (A-N)]
1 solutions
Answer 228910 by Alan3354(30983) on 2010-07-04 14:37:52 (Show Source):
|
Bodies-in-space/319661: The radius of a right circular cylinder is increased by 40% and the height is decreased by 50%. What is the change in the volume?
1 solutions
Answer 228909 by Alan3354(30983) on 2010-07-04 14:34:48 (Show Source):
You can put this solution on YOUR website!The radius of a right circular cylinder is increased by 40% and the height is decreased by 50%. What is the change in the volume?
----------------
Change in V = 
= 2% decrease
|
Linear-equations/319638: What is the Slope and y-intercept of the given linear equation?
1.y=x-1
2.y=1/2x=3
3.y=-3x
4.2x-3-y=0
5.-2x=y-1
6.5y=-3x-10
7.y=2+3x
8.3y=x+1
9.3x+y-2=0
1 solutions
Answer 228899 by Alan3354(30983) on 2010-07-04 10:09:03 (Show Source):
You can put this solution on YOUR website! What is the Slope and y-intercept of the given linear equation?
Put each eqn in slope-intercept form, y = mx + b.
That means solve for y.
Then, m is the slope and b is the y-intercept.
1.y=x-1
m = 1, b = -1
--------------
2.y=1/2x=3 Too many equal signs
----------
3.y=-3x
4.2x-3-y=0
5.-2x=y-1
6.5y=-3x-10
7.y=2+3x
8.3y=x+1
9.3x+y-2=0
You do the rest of them. email via the Thank You note to check your work.
|
test/319484: Solve when 0 degree < 0(theta)<90 degree cos 0(theta)/1-sin 0(theta) + cos 0(theta)/1+sin 0(theta)
1 solutions
Answer 228897 by Alan3354(30983) on 2010-07-04 09:03:37 (Show Source):
You can put this solution on YOUR website!There's nothing to solve, it's not an equation. No equal sign, no equation.
Just use t, don't use 0(theta).
----------------
cos(t)/(1-sin(t) + cos(t)/(1+sin(t))
|
test/319487: cos 35 degree/sin 35 degree + sin 11 degree/cos 79 degree - cos 28 degree cosec 62 degree
1 solutions
Answer 228896 by Alan3354(30983) on 2010-07-04 08:54:18 (Show Source):
You can put this solution on YOUR website!cos 35 degree/sin 35 degree + sin 11 degree/cos 79 degree - cos 28 degree cosec 62 degree
------------
If you mean:
cos(35)/sin(35) + sin(11)/cos(79) - cos(28)*csc(62)
Don't clutter it up with gibberish.
sin(x) = cos(90-x)
-------------------
cot(35) + sin(11)/sin(11) - sin(62)*(csc(62)
= cot(35) + 1 - 1
= cot(35)
|
Rectangles/319627: Each side of a rectangle increased by l%. The perimeter of the rectangle is
increased by
a 4% b 2% c 1% d 0.25% e 0.5%
1 solutions
Answer 228893 by Alan3354(30983) on 2010-07-04 08:37:53 (Show Source):
You can put this solution on YOUR website!Each side of a rectangle increased by l%. The perimeter of the rectangle is
increased by
.
Let x=width
and y=length
.
Original perimeter is
2(x+y)
.
Increased by 1%
1.01x = width
1.01y = lenth
perimeter is:
2(1.01x + 1.01y)
2*1.01(x+y)
2.02(x+y)
.
amount increased:
2.02(x+y) - 2(x+y)
(x+y)(2.02-2)
(x+y)(0.02)
0.02(x+y)
.
percent increased is then
[.02(x+y)]/[2(x+y)] * 100
[.02]/[2] * 100
.01 * 100
1%
----------------
I copied and pasted Nerdy Bill's solution, and changed it from 10% to the requested 1%.
---------------
Nerdy Bill used 10% increase (inadvertently) and got a 10% increase in perimeter. I used 1%, and got a 1% increase in perimeter.
The perimeter is linearly related to the side lengths. s*x --> p*x
|
Inequalities/319633: Please find an equation of the circle that satisfies the given condition. Circle lies in the first quadrant, tangent to both x- and y- axes: radius 5.
1 solutions
Answer 228892 by Alan3354(30983) on 2010-07-04 08:35:36 (Show Source):
|
Numbers_Word_Problems/319629: The product of two natural numbers is 24. Their smallest possible sum is
a 10 b 11 c 12 d 14 e 25
1 solutions
Answer 228891 by Alan3354(30983) on 2010-07-04 08:34:52 (Show Source):
You can put this solution on YOUR website! The product of two natural numbers is 24. Their smallest possible sum is
a 10 b 11 c 12 d 14 e 25
----------------------
Considering only positive numbers, it's 10.
If negative numbers are allowed, it's -25
|
real-numbers/319620: Express each given irrational numbers as a quotient of two numbers.
Ex. a) 0.1111...
b) 0.585858...
c) -3.173173173..
d) 4.0121212...
1 solutions
Answer 228888 by Alan3354(30983) on 2010-07-04 07:56:04 (Show Source):
You can put this solution on YOUR website!Express each given irrational numbers as a quotient of two numbers.
Ex. a) 0.1111...
n = 0.11111...
10n = 1.1111...
1n = 00.1111....
------------------ Subtract
9n = 1
n = 1/9
---------
b) 0.585858...
----------------------
c) -3.173173173..
Ignore the -3 for now
n = 0.173173...
1000n = 173.173173...
1n = 0.173173...
------------------- Subtract
999n = 173
n = 173/999
--> -3 173/999
------------------
d) 4.0121212...
You try b and d, email me via the Thank You note for help if needed.
|
Linear-equations/319621: what is the equation of a line runnin threought the following points (6,4) and 6,8 what is the slope of the equation what is the y intercept of the equation
1 solutions
Answer 228886 by Alan3354(30983) on 2010-07-04 07:29:33 (Show Source):
You can put this solution on YOUR website!m = diffy/diffx
The diffx, difference in x is zero(0).
The line is parallel to the y-axis ("vertical"), the slope is undefined.
There is no y-intercept, it's parallel to the y-axis.
|
Expressions-with-variables/319518: I need to solve using the addition method
3/7x + 5/9y = 27
1/9x + 2/7y = 7
1 solutions
Answer 228884 by Alan3354(30983) on 2010-07-04 07:25:14 (Show Source):
You can put this solution on YOUR website!solve using the addition method
3/7x + 5/9y = 27
1/9x + 2/7y = 7
-------------------
Eliminate fractions by multiplying both eqns by 63
27x + 35y = 1701
7x + 18y = 441
Multiply by something to get the same coeff for either x or y. I'll do x
27x + 35y = 1701 times 7 --> 189x + 245y = 11907
7x + 18y = 441 times -27 --> -189x - 486y = -11907
----------------
+189x + 245y = 11907
-189x - 486y = -11907
--------------------- Add
-241y = 0
y = 0
------
(1/9)x = 7
x = 63
|
Linear-equations/319601: Find the slope and the y-intercept of the line:
3x + 5y + 10 = 0
1 solutions
Answer 228883 by Alan3354(30983) on 2010-07-04 07:16:02 (Show Source):
You can put this solution on YOUR website!Find the slope and the y-intercept of the line:
3x + 5y + 10 = 0
-------------------
Put the eqn in slope-intercept form, y = mx + b
That means solve for y
y = (-5/3)x - 10/3
Slope m = -5/3
y-int b = -10/3
|
Graphs/319602: Graph the equation:
-3x - y = 2
1 solutions
Answer 228882 by Alan3354(30983) on 2010-07-04 07:14:17 (Show Source):
You can put this solution on YOUR website!Graph the equation:
-3x - y = 2
----------------
It's a linear equation, so it's a straight line. 2 points are needed.
y = -3x - 2
Pick 2 values of x and find y
x...y
0...-2 --> (0,-2)
3...-11 --> (3,-11)
Plot the 2 points, draw a line thru them.
|
|
