New!
Get regular updates about newly solved problems
via algebra.com's RSS system.
Recent problems solved by 'jim_thompson5910'
jim_thompson5910 answered: 28583 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, >>Next
expressions/351825: I am needing help on the following problems:
4x-5y+9+2x-y-14
-12x+y+7-(-x)+9y+(-7)
-x+2y+8x-5y+(+(-6x-)-4y
4-(7y)+7x-14+y-1
thanks!! 1 solutions
Answer 251401 by jim_thompson5910(28595) on 2010-10-04 17:52:29 (Show Source):
You can put this solution on YOUR website!1) 4x-5y+9+2x-y-14 = (4x+2x)+(-5y-y)+(9-14) = 6x-6y-5
2) -12x+y+7-(-x)+9y+(-7) = (-12x+x)+(y+9y)+(7-7) = -11x+10y
3) -x+2y+8x-5y+(+(-6x-)-4y .... you must have a typo here...
4) 4-(7y)+7x-14+y-1 = (7x)+(-7y+y)+(4-1-14) = 7x-6y-11
|
Graphs/351692: given f(p) = p^2 - 4p + 7 and the transformation y = -f(p-2) + 5
find the formula for this transformation and describe how this transformation moves the original function, f(p)
thanks
1 solutions
Answer 251394 by jim_thompson5910(28595) on 2010-10-04 17:26:06 (Show Source):
You can put this solution on YOUR website!Hint: To find f(p-2), replace each 'p' with 'p-2' and simplify. To calculate -f(p-2), just negate each term of f(p-2). Finally, add 5 to get -f(p-2)+5. If you graph each step, you'll see the transformations.
|
Equations/351782: 1. 3n-5= -8(6+5n)
2. -(1+7x) -6 (-7-x)= 36
3. -5(1-5x) +5 (-8-2)= -4x-8x
If you can provide step by step, that would be very helpful.
Thanks a lot!! 1 solutions
Answer 251392 by jim_thompson5910(28595) on 2010-10-04 17:20:38 (Show Source):
You can put this solution on YOUR website!# 1
 Start with the given equation.
 Distribute.
 Add  to both sides.
 Add  to both sides.
 Combine like terms on the left side.
 Combine like terms on the right side.
 Divide both sides by  to isolate  .
 Reduce.
--------------
Answer:
So the answer is
==============================================================
# 2
 Start with the given equation.
 Distribute.
 Combine like terms on the left side.
 Subtract  from both sides.
 Combine like terms on the right side.
 Divide both sides by  to isolate  .
 Reduce.
---------------------
Answer:
So the answer is
==============================================================
# 3
 Start with the given equation.
 Distribute.
 Combine like terms on the left side.
 Combine like terms on the right side.
 Add  to both sides.
 Add  to both sides.
 Combine like terms on the left side.
 Divide both sides by  to isolate  .
--------------------
Answer:
So the answer is  which approximates to  .
|
Surface-area/351792: a circle of 50 flags surrounds the washington monument in dc. the diameter of the circle is about 238 feet. about how far apart are the flags if they are evenly spaced? 1 solutions
Answer 251391 by jim_thompson5910(28595) on 2010-10-04 17:17:03 (Show Source):
|
Travel_Word_Problems/351797: If a train travels 60 kms an hour how far can it travel in 5 mins, 10mins, 20 mins? 1 solutions
Answer 251389 by jim_thompson5910(28595) on 2010-10-04 17:14:01 (Show Source):
You can put this solution on YOUR website!Throughout the problem,
Use  to get
a) 5 mins:
5 minutes =  hours
So
So the train travels 5 km in 5 minutes
-------------
b) 10 mins:
10 minutes =  hours
So
So the train travels 10 km in 10 minutes
Starting to see a pattern?
---------
a) 20 mins:
20 minutes =  hours
So
So the train travels 20 km in 20 minutes
Note: If a train is traveling 60 kph, then in 'x' minutes it has traveled 'x' kilometers.
|
Trigonometry-basics/351793: How to find three ordered pairs satisfying y= -3x+5 thanks 1 solutions
Answer 251387 by jim_thompson5910(28595) on 2010-10-04 17:10:04 (Show Source):
You can put this solution on YOUR website!Pick any 3 x values and plug them into the given equation to find the corresponding y values
x=0:  So when x=0, y=5 which means we have the ordered pair (0,5)
x=1:  So when x=1, y=2 which means we have the ordered pair (1,2)
x=2:  So when x=2, y=-1 which means we have the ordered pair (2,-1)
|
Trigonometry-basics/351791: Find the value(s)of x for which f(x)=g(x)
f(x)=x^2+16x+19 g(x)= 8x+7 1 solutions
Answer 251386 by jim_thompson5910(28595) on 2010-10-04 17:07:44 (Show Source):
You can put this solution on YOUR website! Start with the given equation.
 Plug in  and
 Get all terms to the left side.
 Combine like terms.
Notice we have a quadratic equation in the form of  where  ,  , and
Let's use the quadratic formula to solve for x
 Start with the quadratic formula
 Plug in  ,  , and
 Square  to get  .
 Multiply  to get
 Subtract  from  to get
 Multiply  and  to get  .
 Take the square root of  to get  .
 or  Break up the expression.
 or  Combine like terms.
 or  Simplify.
So the answers are  or
|
Angles/351794: How do i figure out x and y when i have vertical angles?
I have 3 numbers here, and I'm using the star as a degree sign.
2y*
(x+5)*
and 3x*
It'd help alot :) 1 solutions
Answer 251384 by jim_thompson5910(28595) on 2010-10-04 17:05:51 (Show Source):
|
Linear_Algebra/351727: what is the standard deviation of the numbers 77,65,59,77,63,60,77 1 solutions
Answer 251331 by jim_thompson5910(28595) on 2010-10-04 14:56:35 (Show Source):
You can put this solution on YOUR website!Hint:
Step 1) Find the mean
Step 2) Find the differences of the mean from each data value
Step 3) Square each difference
Step 4) Add up those squares
Step 5) Divide that sum by n-1 (where n is the number of numbers in the data set)
Step 6) Take the square root of the result from step 5 to get the standard deviation
Alternatively, you can use a calculator to calculate the standard deviation.
|
Radicals/351721: Hello I need help with a problem. I need to Simplify each expression. All variables represent positive numbers. Sqrt = radical sign.
sqrt 8a^9/b^3 1 solutions
Answer 251325 by jim_thompson5910(28595) on 2010-10-04 14:51:48 (Show Source):
|
Linear-equations/351715: what is the slope of. 3x-8y=4 1 solutions
Answer 251315 by jim_thompson5910(28595) on 2010-10-04 14:41:09 (Show Source):
You can put this solution on YOUR website!
 Start with the given equation.
 Subtract  from both sides.
 Rearrange the terms.
 Divide both sides by  to isolate y.
 Break up the fraction.
 Reduce.
So the equation  is now in slope intercept form  where the slope is  and the y-intercept is  note: the y-intercept is the point
|
Travel_Word_Problems/351494: Please help me solve this word problem:
A railroad track is laid along the arc of a circle of radius 1800ft. The circular part of the track subtends a central angle of 40 degrees. How long (in seconds) will it take a point on the front of a train traveling 30 mph to go around this portion of the track?
I know I need to draw a triangle and show degrees and the length of a side, I don't know which side needs to be labeled and where the curved railroad tract fits in. I would greatly appreciate any help you can give me. Thank you. 1 solutions
Answer 251141 by jim_thompson5910(28595) on 2010-10-04 00:32:11 (Show Source):
You can put this solution on YOUR website!The basic idea here is to find the length of the track. You do this by calculating the circumference of the circle (imagine that this track creates a whole circle). Once you have the circumference, multiply it by  to find the length of the track that subtends 40 degrees.
When you have the length of the track, use the formula  (distance = rate*time) to calculate the time it takes to travel that given distance at 30 mph.
Let me know if this helps.
If you need more help, email me at jim_thompson5910@hotmail.com
Also, feel free to check out my tutoring website
Jim
|
Complex_Numbers/351402: Here is the expression and answer, I have tried to solve this but I cannot come up with the same answer that was given to me from the teacher. I need to write this in standard form. The answer given was 12-13i
(5-7i) - (-7+6i) 1 solutions
Answer 251088 by jim_thompson5910(28595) on 2010-10-03 19:49:18 (Show Source):
|
Probability-and-statistics/351386: A card is drawn and a die is thrown. Find the following probabilities:
a) Drawing a spade and rolling a four
b) Rolling an odd number and drawing an odd numbered card
c) Rolling a factor of 12 and drawing a card that is a factor of twelve (exclude 1 in both cases) 1 solutions
Answer 251084 by jim_thompson5910(28595) on 2010-10-03 19:38:56 (Show Source):
You can put this solution on YOUR website!a)
P(Spade and rolling a 4) = P(Spade)*P(rolling a 4) = (13/52)*(1/6) = 13/312
Note: There are 13 spade cards out of a total of 52. So P(Spade) = 13/52. Also, I'm assuming that we're rolling a 6 sided die, which means that P(Rolling a 4) = 1/6
b)
P(Rolling an odd number and drawing an odd numbered card) = P(Rolling an odd number) * P(Drawing an odd numbered card) = (3/6)*(16/52) = 48/312 = 2/13
Note: There 3 odd numbers on a die (1, 3, 5) out of 6. So P(Rolling an odd number) = 3/6
Also, the odd numbered cards are: 3, 5, 7, 9 and there are 4 suits. So there are 4*4 = 16 odd cards out a total of 52. So P(Drawing an odd numbered card) = 16/52
c)
I'll let you tackle this one. Let me know if you need help on it.
|
Probability-and-statistics/351381: A bag containing 5 red balls, 3 blue balls and 2 yellow balls. A ball is drawn and not replaced. A second ball is drawn. Find the probabilty of drawing:
a) Two red balls
b) One blue ball and one yellow ball
c) Two yellow balls
d) A red ball and a blue ball 1 solutions
Answer 251075 by jim_thompson5910(28595) on 2010-10-03 19:11:00 (Show Source):
You can put this solution on YOUR website!a)
P(Two red) = P(Red)*P(Red after one is drawn) = (5/10)(4/9) = 20/180 = 1/9
b)
P(One blue and one yellow) = P(blue) * P(yellow after one draw) = (3/10)(2/9) = 6/90 = 1/15
c)
P(Two yellow) = P(yellow)*P(yellow after one is drawn) = (2/10)(1/9) = 2/90 = 1/45
d)
P(One red and one blue) = P(red) * P(blue after one draw) = (5/10)(3/9) = 15/90 = 1/6
|
Equations/351377: Hi, I am having trouble answering this problem -5x-10=2-(x+4) I'm not sure if I'm supposed to multiply the 2 and x then the 2 and 4 using the distributive property. Or if I'm supposed to subtract 2 from x and 4. I tried subtracting and got the answer of 3.5, but then I checked the problem and it was wrong. ( I tried using the distributive property, but subtracting instead of multiplying.) I am very confused can you please help me by going through the steps? Very much appreciated, Kayla. 1 solutions
Answer 251072 by jim_thompson5910(28595) on 2010-10-03 19:02:38 (Show Source):
You can put this solution on YOUR website! Start with the given equation.
 Distribute.
 Combine like terms on the right side.
 Add  to both sides.
 Add  to both sides.
 Combine like terms on the left side.
 Combine like terms on the right side.
 Divide both sides by  to isolate  .
 Reduce.
----------------------------------------------------------------------
Answer:
So the solution is
If you need more help, email me at jim_thompson5910@hotmail.com
Also, feel free to check out my tutoring website
Jim
|
Polynomials-and-rational-expressions/351365: How do you factor 2y^2-15y+12? 1 solutions
Answer 251071 by jim_thompson5910(28595) on 2010-10-03 19:00:47 (Show Source):
You can put this solution on YOUR website!
Looking at the expression  , we can see that the first coefficient is  , the second coefficient is  , and the last term is  .
Now multiply the first coefficient  by the last term  to get  .
Now the question is: what two whole numbers multiply to  (the previous product) and add to the second coefficient  ?
To find these two numbers, we need to list all of the factors of  (the previous product).
Factors of  :
1,2,3,4,6,8,12,24
-1,-2,-3,-4,-6,-8,-12,-24
Note: list the negative of each factor. This will allow us to find all possible combinations.
These factors pair up and multiply to  .
1*24 = 24
2*12 = 24
3*8 = 24
4*6 = 24
(-1)*(-24) = 24
(-2)*(-12) = 24
(-3)*(-8) = 24
(-4)*(-6) = 24
Now let's add up each pair of factors to see if one pair adds to the middle coefficient  :
| First Number | Second Number | Sum | | 1 | 24 | 1+24=25 | | 2 | 12 | 2+12=14 | | 3 | 8 | 3+8=11 | | 4 | 6 | 4+6=10 | | -1 | -24 | -1+(-24)=-25 | | -2 | -12 | -2+(-12)=-14 | | -3 | -8 | -3+(-8)=-11 | | -4 | -6 | -4+(-6)=-10 |
From the table, we can see that there are no pairs of numbers which add to  . So  cannot be factored.
===============================================================
Answer:
So doesn't factor at all (over the rational numbers).
So is prime.
If you need more help, email me at jim_thompson5910@hotmail.com
Also, feel free to check out my tutoring website
Jim
|
Linear_Equations_And_Systems_Word_Problems/351030: A defense attorney charges her client
$4000 plus $120 per hour. The formula R =120n + 4000
gives her revenue in dollars for n hours of work. What is
her revenue for 100 hours of work? What is her revenue
for 101 hours of work? By how much did the one extra
hour of work increase the revenue?
1 solutions
Answer 250900 by jim_thompson5910(28595) on 2010-10-02 22:13:40 (Show Source):
You can put this solution on YOUR website!What is her revenue for 100 hours of work?
Revenue is  dollars
What is her revenue for 101 hours of work?
Revenue is  dollars
By how much did the one extra hour of work increase the revenue?
One extra hour of work increases the revenue by  dollars.
If you need more help, email me at jim_thompson5910@hotmail.com
Also, feel free to check out my tutoring website
Jim
|
|