See tutors' answers!

Algebra ->  Tutoring on algebra.com -> See tutors' answers!      Log On


   
By Tutor
 | By Problem Number | 

Tutor:
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

Proportions/343721: how many minutes in 24 hours?
1 solutions

Answer 245908 by jim_thompson5910(28595) About Me  on 2010-09-15 20:28:09 (Show Source):
You can put this solution on YOUR website!
There are 60*24 = 1440 minutes in 24 hours.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider making a donation at my tutoring website. Thank you.

Jim


Percentage-and-ratio-word-problems/343535: A refrigerator goes on a defrost cycle for 1 hour out of every 14 hours. how many hours is this each week?
1 solutions

Answer 245862 by jim_thompson5910(28595) About Me  on 2010-09-15 17:58:48 (Show Source):
You can put this solution on YOUR website!
There are 24*7 = 168 hours in a week. So this means that the refrigerator is defrosting 168/14 = 12 hours per week.


Radicals/343546: Can you explain to me how to do RADICAL 8 multiplied by RADICAL 6
1 solutions

Answer 245861 by jim_thompson5910(28595) About Me  on 2010-09-15 17:56:54 (Show Source):


Equations/343595: Fill in the parentheses so that the equation is correct.
13+ ( )= -4
1 solutions

Answer 245858 by jim_thompson5910(28595) About Me  on 2010-09-15 17:54:29 (Show Source):
You can put this solution on YOUR website!
Replace the parenthesis with 'x' for now to get 13%2Bx=-4


13%2Bx=-4 Start with the given equation.


x=-4-13 Subtract 13 from both sides.


x=-17 Combine like terms on the right side.


----------------------------------------------------------------------

Answer:

So the answer is x=-17


This means that the number that goes in the parenthesis is -17


Inequalities/343526: y-2<4
1 solutions

Answer 245856 by jim_thompson5910(28595) About Me  on 2010-09-15 17:51:28 (Show Source):
You can put this solution on YOUR website!

y-2%3C4 Start with the given inequality.


y%3C4%2B2 Add 2 to both sides.


y%3C6 Combine like terms on the right side.


----------------------------------------------------------------------

Answer:

So the answer is y%3C6


Linear_Equations_And_Systems_Word_Problems/343565: Is 9xy= 18 a linear function?
1 solutions

Answer 245855 by jim_thompson5910(28595) About Me  on 2010-09-15 17:50:42 (Show Source):
You can put this solution on YOUR website!
First solve for 'y' to get y=18%2F%289x%29=2%2Fx. So y=2%2Fx. Because you CANNOT write y=2%2Fx into the form y=mx%2Bb, this means that 9xy=+18 is NOT a linear function.


Equations/343589: Fill in the parantheses to make statement correct.
-9-(-2.3)= -9+(?)
1 solutions

Answer 245853 by jim_thompson5910(28595) About Me  on 2010-09-15 17:48:40 (Show Source):
You can put this solution on YOUR website!
Subtracting a negative is the same as adding. So in this case,

-9-(-2.3)= -9+(2.3)

or

-9-(-2.3)= -9+2.3


Equations/343576: two sisters save $180. one made 25 more than the other what equation can we use to represent this?

1 solutions

Answer 245852 by jim_thompson5910(28595) About Me  on 2010-09-15 17:48:01 (Show Source):
You can put this solution on YOUR website!
Let x = amount that sister #1 saved and y = amount that sister #2 saved. Now let's say that sister #2 made 25 more than sister #1. This then means that y=x%2B25. In addition, because "two sisters save $180" (ie their savings combine to $180), we also know that x%2By=180


Inequalities/343582: -3(5x+10)<-18x-9
1 solutions

Answer 245850 by jim_thompson5910(28595) About Me  on 2010-09-15 17:45:51 (Show Source):
You can put this solution on YOUR website!

-3%285x%2B10%29%3C-18x-9 Start with the given inequality.


-15x-30%3C-18x-9 Distribute.


-15x%3C-18x-9%2B30 Add 30 to both sides.


-15x%2B18x%3C-9%2B30 Add 18x to both sides.


3x%3C-9%2B30 Combine like terms on the left side.


3x%3C21 Combine like terms on the right side.


x%3C%2821%29%2F%283%29 Divide both sides by 3 to isolate x.


x%3C7 Reduce.


----------------------------------------------------------------------

Answer:

So the answer is x%3C7


Equations/343583: How do you figure out how to solve %28x-3%29%2F2=5%2Fx?
1 solutions

Answer 245849 by jim_thompson5910(28595) About Me  on 2010-09-15 17:45:13 (Show Source):
You can put this solution on YOUR website!
%28x-3%29%2F2=5%2Fx Start with the given equation.


x%28x-3%29=5%2A2 Cross multiply.


x%28x%29-x%283%29=5%2A2 Distribute.


x%5E2-3x=10 Multiply


x%5E2-3x-10=0 Subtract 10 from both sides.


Notice we have a quadratic equation in the form of ax%5E2%2Bbx%2Bc where a=1, b=-3, and c=-10


Let's use the quadratic formula to solve for x


x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29 Start with the quadratic formula


x+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2-4%281%29%28-10%29+%29%29%2F%282%281%29%29 Plug in a=1, b=-3, and c=-10


x+=+%283+%2B-+sqrt%28+%28-3%29%5E2-4%281%29%28-10%29+%29%29%2F%282%281%29%29 Negate -3 to get 3.


x+=+%283+%2B-+sqrt%28+9-4%281%29%28-10%29+%29%29%2F%282%281%29%29 Square -3 to get 9.


x+=+%283+%2B-+sqrt%28+9--40+%29%29%2F%282%281%29%29 Multiply 4%281%29%28-10%29 to get -40


x+=+%283+%2B-+sqrt%28+9%2B40+%29%29%2F%282%281%29%29 Rewrite sqrt%289--40%29 as sqrt%289%2B40%29


x+=+%283+%2B-+sqrt%28+49+%29%29%2F%282%281%29%29 Add 9 to 40 to get 49


x+=+%283+%2B-+sqrt%28+49+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


x+=+%283+%2B-+7%29%2F%282%29 Take the square root of 49 to get 7.


x+=+%283+%2B+7%29%2F%282%29 or x+=+%283+-+7%29%2F%282%29 Break up the expression.


x+=+%2810%29%2F%282%29 or x+=++%28-4%29%2F%282%29 Combine like terms.


x+=+5 or x+=+-2 Simplify.


So the answers are x+=+5 or x+=+-2


Functions/343585: domain of a constant

1 solutions

Answer 245847 by jim_thompson5910(28595) About Me  on 2010-09-15 17:43:26 (Show Source):
You can put this solution on YOUR website!
The domain of a constant function is the set of all real numbers.


Angles/342989: The complement of an angle measures 37°. What is the measure of the angle?
1 solutions

Answer 245470 by jim_thompson5910(28595) About Me  on 2010-09-14 14:47:41 (Show Source):
You can put this solution on YOUR website!
Hint: Complementary angles add to 90 degrees. So if one angle is 'x' degrees, then the other angle is 90-x degrees.


Quadratic_Equations/342988: the are of a rectangle is 144in^2. the length is 4 times great than the width. Which quadratic equation represents the are of the rectangle?
a)w(4w)=144
b)w(4-w)=144
c)w(w-4))=144
d)w(w+4)=144
1 solutions

Answer 245468 by jim_thompson5910(28595) About Me  on 2010-09-14 14:45:21 (Show Source):
You can put this solution on YOUR website!
Hint: If we let the width be 'w' inches, then the length is 4w (4 times 'w') inches. Ex: If the width is w=5 inches, then the length is 4*5=20 inches.


Systems-of-equations/342986: Please solve algebraically:
2x^2 + 2y^2 + 4x = 6y
x^2 + y^2 + 2x - 3y = 1
For the first equation, I was able to divide everything by 2 and complete the square. After, I completed the square I factored it and got the answer:
( x+1)^2 + (y-3)^2 = 0
I did not know what to do after that though, it would be easy to solve the with a graph, but I cannot figure out how to solve both equations. Any help would be greatly appreciated, thanks so much!

1 solutions

Answer 245465 by jim_thompson5910(28595) About Me  on 2010-09-14 14:41:34 (Show Source):
You can put this solution on YOUR website!
Here's the basic outline to solving this problem

1) Select an equation and complete the squares for both x and y. You've already done that. Call this equation 3.

2) Select a variable to solve for in equation 3. Let's say you choose to solve for 'y'.

3) Once you've solved for 'y', plug that solved expression into each 'y' of the other equation. Once you've done this, every 'y' will essentially be replaced by 'x' terms and you'll have an equation with only one variable.

4) Expand, combine like terms, and simplify to get the equation with one variable in the form ax%5E2%2Bbx%2Bc=0.

5) Now use the quadratic formula to solve for 'x'.

6) Use the solution(s) found in step 5) to find the corresponding solution(s) in terms of 'y'.


Let me know if this helps at all.



Equations/342981: 3x-1=7-(8+3x)
1 solutions

Answer 245463 by jim_thompson5910(28595) About Me  on 2010-09-14 14:29:27 (Show Source):
You can put this solution on YOUR website!

3x-1=7-1%288%2B3x%29 Start with the given equation.


3x-1=7-8-3x Distribute.


3x-1=-3x-1 Combine like terms on the right side.


3x=-3x-1%2B1 Add 1 to both sides.


3x%2B3x=-1%2B1 Add 3x to both sides.


6x=-1%2B1 Combine like terms on the left side.


6x=0 Combine like terms on the right side.


x=%280%29%2F%286%29 Divide both sides by 6 to isolate x.


x=0 Reduce.


----------------------------------------------------------------------

Answer:

So the answer is x=0


Probability-and-statistics/342964: For those of you who like standardized tests, I found this question on a recent SAT test: Two fair dice are tossed simultaneously. What is the probability that the product of the numbers that land showing is at least 25? Explain your solution.
1 solutions

Answer 245461 by jim_thompson5910(28595) About Me  on 2010-09-14 14:28:20 (Show Source):
You can put this solution on YOUR website!
You can use a multiplication table to help you visualize the answer. Simply only focus on the values 1-6.


Looking at a multiplication table, there are 36 possible values that the two dice can multiply to, but there are only 4 possible ways to get 25 or more (5*5=25, 5*6=30, 6*5=30 and 6*6=36)


So the probability that the product is 25 or more is 4%2F36=1%2F9 which is 0.1111 in decimal form (basically, an 11.11% chance)


Equations/342788: what is 12-5u=-48
1 solutions

Answer 245342 by jim_thompson5910(28595) About Me  on 2010-09-14 00:29:48 (Show Source):
You can put this solution on YOUR website!
12-5u=-48 Start with the given equation.


-5u=-48-12 Subtract 12 from both sides.


-5u=-60 Combine like terms on the right side.


u=%28-60%29%2F%28-5%29 Divide both sides by -5 to isolate u.


u=12 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is u=12


If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider making a donation at my tutoring website. Thank you.

Jim


Money_Word_Problems/342776: How long will it take $700 to double itself at 7% simple interest?
1 solutions

Answer 245321 by jim_thompson5910(28595) About Me  on 2010-09-13 23:16:57 (Show Source):
You can put this solution on YOUR website!

A=P%2BPrt Start with the simple interest formula.


1400=700%2B700%2A0.07%2At Plug in A=1400 (double the amount of $700), P=700, and r=0.07 (the decimal equivalent of 7%).


1400=700%2B49%2At Multiply 700 and 0.07 to get 49.


1400-700=49%2At Subtract 700 from both sides.


700=49%2At Combine like terms.


700%2F49=t Divide both sides by 49 to isolate 't'.


14.2857142857143=t Divide.


t=14.2857142857143 Rearrange the equation.


t=14.29 Round to the nearest hundredth.


So it will take about 14.29 years for an investment of $700 to grow to $1400 with an interest rate of 7% (using simple interest).


If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider making a donation at my tutoring website. Thank you.

Jim


Complex_Numbers/342746: solutions to the problem 4x^2-8x+3=0
1 solutions

Answer 245301 by jim_thompson5910(28595) About Me  on 2010-09-13 21:53:52 (Show Source):
You can put this solution on YOUR website!
4x%5E2-8x%2B3=0 Start with the given equation.


Notice that the quadratic 4x%5E2-8x%2B3 is in the form of Ax%5E2%2BBx%2BC where A=4, B=-8, and C=3


Let's use the quadratic formula to solve for "x":


x+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29 Start with the quadratic formula


x+=+%28-%28-8%29+%2B-+sqrt%28+%28-8%29%5E2-4%284%29%283%29+%29%29%2F%282%284%29%29 Plug in A=4, B=-8, and C=3


x+=+%288+%2B-+sqrt%28+%28-8%29%5E2-4%284%29%283%29+%29%29%2F%282%284%29%29 Negate -8 to get 8.


x+=+%288+%2B-+sqrt%28+64-4%284%29%283%29+%29%29%2F%282%284%29%29 Square -8 to get 64.


x+=+%288+%2B-+sqrt%28+64-48+%29%29%2F%282%284%29%29 Multiply 4%284%29%283%29 to get 48


x+=+%288+%2B-+sqrt%28+16+%29%29%2F%282%284%29%29 Subtract 48 from 64 to get 16


x+=+%288+%2B-+sqrt%28+16+%29%29%2F%288%29 Multiply 2 and 4 to get 8.


x+=+%288+%2B-+4%29%2F%288%29 Take the square root of 16 to get 4.


x+=+%288+%2B+4%29%2F%288%29 or x+=+%288+-+4%29%2F%288%29 Break up the expression.


x+=+%2812%29%2F%288%29 or x+=++%284%29%2F%288%29 Combine like terms.


x+=+3%2F2 or x+=+1%2F2 Simplify.


So the solutions are x+=+3%2F2 or x+=+1%2F2


If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider making a donation at my tutoring website. Thank you.

Jim


Complex_Numbers/342743: solutions to the problem 16x^2-64=0
1 solutions

Answer 245300 by jim_thompson5910(28595) About Me  on 2010-09-13 21:49:04 (Show Source):
You can put this solution on YOUR website!

16x%5E2-64=0 Start with the given equation.


Notice that the quadratic 16x%5E2-64 is in the form of Ax%5E2%2BBx%2BC where A=16, B=0, and C=-64


Let's use the quadratic formula to solve for "x":


x+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29 Start with the quadratic formula


x+=+%28%280%29+%2B-+sqrt%28+%280%29%5E2-4%2816%29%28-64%29+%29%29%2F%282%2816%29%29 Plug in A=16, B=0, and C=-64


x+=+%280+%2B-+sqrt%28+0-4%2816%29%28-64%29+%29%29%2F%282%2816%29%29 Square 0 to get 0.


x+=+%280+%2B-+sqrt%28+0--4096+%29%29%2F%282%2816%29%29 Multiply 4%2816%29%28-64%29 to get -4096


x+=+%280+%2B-+sqrt%28+0%2B4096+%29%29%2F%282%2816%29%29 Rewrite sqrt%280--4096%29 as sqrt%280%2B4096%29


x+=+%280+%2B-+sqrt%28+4096+%29%29%2F%282%2816%29%29 Add 0 to 4096 to get 4096


x+=+%280+%2B-+sqrt%28+4096+%29%29%2F%2832%29 Multiply 2 and 16 to get 32.


x+=+%280+%2B-+64%29%2F%2832%29 Take the square root of 4096 to get 64.


x+=+%280+%2B+64%29%2F%2832%29 or x+=+%28-0+-+64%29%2F%2832%29 Break up the expression.


x+=+%2864%29%2F%2832%29 or x+=++%28-64%29%2F%2832%29 Combine like terms.


x+=+2 or x+=+-2 Simplify.


So the solutions are x+=+2 or x+=+-2


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim


expressions/342737: 3-5(a-4) simplify
1 solutions

Answer 245297 by jim_thompson5910(28595) About Me  on 2010-09-13 21:45:44 (Show Source):
You can put this solution on YOUR website!
3-5%28a-4%29=3-5%28a%29-5%28-4%29=3-5a%2B20=-5a%2B23


So 3-5%28a-4%29=-5a%2B23


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim


Quadratic_Equations/342738: in ax^2+bx+c form, what is x^2+4x+8=5x+18
1 solutions

Answer 245296 by jim_thompson5910(28595) About Me  on 2010-09-13 21:43:14 (Show Source):
You can put this solution on YOUR website!
x%5E2%2B4x%2B8=5x%2B18 Start with the given equation.


x%5E2%2B4x%2B8-5x-18=0 Get every term to the left side.


x%5E2-x-10=0 Combine like terms.


Now the equation is in ax%5E2%2Bbx%2Bc=0 form where a=1, b=-1 and c=-10


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim


Linear-equations/342726: Find an equation of the line containing the given pair of points (-7,-3) and (-2,-4)
1 solutions

Answer 245289 by jim_thompson5910(28595) About Me  on 2010-09-13 21:32:24 (Show Source):
You can put this solution on YOUR website!

First let's find the slope of the line through the points and


Note: is the first point . So this means that x%5B1%5D=-7 and y%5B1%5D=-3.
Also, is the second point . So this means that x%5B2%5D=-2 and y%5B2%5D=-4.


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%28-4--3%29%2F%28-2--7%29 Plug in y%5B2%5D=-4, y%5B1%5D=-3, x%5B2%5D=-2, and x%5B1%5D=-7


m=%28-1%29%2F%28-2--7%29 Subtract -3 from -4 to get -1


m=%28-1%29%2F%285%29 Subtract -7 from -2 to get 5


So the slope of the line that goes through the points and is m=-1%2F5


Now let's use the point slope formula:


y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula


y--3=%28-1%2F5%29%28x--7%29 Plug in m=-1%2F5, x%5B1%5D=-7, and y%5B1%5D=-3


y--3=%28-1%2F5%29%28x%2B7%29 Rewrite x--7 as x%2B7


y%2B3=%28-1%2F5%29%28x%2B7%29 Rewrite y--3 as y%2B3


y%2B3=%28-1%2F5%29x%2B%28-1%2F5%29%287%29 Distribute


y%2B3=%28-1%2F5%29x-7%2F5 Multiply


y=%28-1%2F5%29x-7%2F5-3 Subtract 3 from both sides.


y=%28-1%2F5%29x-22%2F5 Combine like terms. note: If you need help with fractions, check out this solver.


y=%28-1%2F5%29x-22%2F5 Simplify


So the equation that goes through the points and is y=%28-1%2F5%29x-22%2F5


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim


test/342720: Is -6x - 24 equal to -6x+-24
1 solutions

Answer 245277 by jim_thompson5910(28595) About Me  on 2010-09-13 21:15:43 (Show Source):
You can put this solution on YOUR website!
Yes, -6x-24=-6x%2B%28-24%29 since adding a negative is the same as subtracting.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim


Inequalities/342716: 8.2+v>-7.6
1 solutions

Answer 245275 by jim_thompson5910(28595) About Me  on 2010-09-13 21:09:10 (Show Source):
You can put this solution on YOUR website!
8.2%2Bv%3E-7.6 Start with the given inequality.


10%288.2%2Bv%29%3E10%28-7.6%29 Multiply both sides by 10 to clear out the decimals.


82%2B10v%3E-76 Distribute and multiply.


10v%3E-76-82 Subtract 82 from both sides.


10v%3E-158 Combine like terms on the right side.


v%3E%28-158%29%2F%2810%29 Divide both sides by 10 to isolate v.


v%3E-79%2F5 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is v%3E-79%2F5


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim


Equations/342714: 2/3x +1/2x=14

1 solutions

Answer 245274 by jim_thompson5910(28595) About Me  on 2010-09-13 21:05:38 (Show Source):
You can put this solution on YOUR website!
%282%2F3%29x%2B%281%2F2%29x=14 Start with the given equation.


6%28%282%2Fcross%283%29%29x%2B%281%2Fcross%282%29%29x%29=6%2814%29 Multiply both sides by the LCD 6 to clear any fractions.


4x%2B3x=84 Distribute and multiply.


7x=84 Combine like terms on the left side.


x=%2884%29%2F%287%29 Divide both sides by 7 to isolate x.


x=12 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is x=12


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim


Equations/342710: t-17=42
b+113=122
x+143=171
p-216=243
s-49=28
1 solutions

Answer 245273 by jim_thompson5910(28595) About Me  on 2010-09-13 21:04:28 (Show Source):
You can put this solution on YOUR website!
I'll do the first two to get you started


# 1


t-17=42 Start with the given equation.


t=42%2B17 Add 17 to both sides.


t=59 Combine like terms on the right side.


----------------------------------------------------------------------

Answer:

So the solution is t=59


======================================================================
# 2


b%2B113=122 Start with the given equation.


b=122-113 Subtract 113 from both sides.


b=9 Combine like terms on the right side.


----------------------------------------------------------------------

Answer:

So the solution is b=9


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim


Linear-equations/342712: Solve the following system of linear equations,
a) using Substitution
In your submission, include the variable you solved for and the expression you obtained for the variable. Write your answer as an ordered pair.
x+2y=5
2x+y=-2

1 solutions

Answer 245272 by jim_thompson5910(28595) About Me  on 2010-09-13 21:02:36 (Show Source):
You can put this solution on YOUR website!

Start with the given system of equations:

system%28x%2B2y=5%2C2x%2By=-2%29



Now in order to solve this system by using substitution, we need to solve (or isolate) one variable. I'm going to solve for y.




So let's isolate y in the first equation

2x%2By=-2 Start with the second equation


y=-2-2x Subtract 2x from both sides


y=-2x-2 Rearrange the equation




---------------------

Since y=-2x-2, we can now replace each y in the first equation with -2x-2 to solve for x



x%2B2highlight%28%28-2x-2%29%29=5 Plug in y=-2x-2 into the first equation. In other words, replace each y with -2x-2. Notice we've eliminated the y variables. So we now have a simple equation with one unknown.



x%2B%282%29%28-2%29x%2B%282%29%28-2%29=5 Distribute 2 to -2x-2


x-4x-4=5 Multiply


-3x-4=5 Combine like terms on the left side


-3x=5%2B4Add 4 to both sides


-3x=9 Combine like terms on the right side


x=%289%29%2F%28-3%29 Divide both sides by -3 to isolate x



x=-3 Divide





-----------------First Answer------------------------------


So the first part of our answer is: x=-3









Since we know that x=-3 we can plug it into the equation y=-2x-2 (remember we previously solved for y in the first equation).



y=-2x-2 Start with the equation where y was previously isolated.


y=-2%28-3%29-2 Plug in x=-3


y=6-2 Multiply


y=4 Combine like terms



-----------------Second Answer------------------------------


So the second part of our answer is: y=4









-----------------Summary------------------------------

So our answers are:

x=-3 and y=4

which form the point



If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim


Functions/342702: f(x)= X^3+2x^2 divided by (x-1)^2
1 solutions

Answer 245263 by jim_thompson5910(28595) About Me  on 2010-09-13 20:52:40 (Show Source):
You can put this solution on YOUR website!
What do you want to do here? Please post the full instructions.


Expressions-with-variables/342700: BAGELS COST $.50 EACH.WRITE AN ALGEBRAIC EXPRESSIONS FOR THE COST of b bagels
1 solutions

Answer 245261 by jim_thompson5910(28595) About Me  on 2010-09-13 20:49:35 (Show Source):
You can put this solution on YOUR website!
The cost of 'b' bagels is 0.5b dollars.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider making a donation at my tutoring website. Thank you.

Jim


Numbers_Word_Problems/342695: I am thinking of three consecutive integers. Four times the third decreased by one-half the second is 4.
Find all of the integers.
Thanks so much in advance!
Dan
1 solutions

Answer 245257 by jim_thompson5910(28595) About Me  on 2010-09-13 20:47:23 (Show Source):
You can put this solution on YOUR website!
Hint: "I am thinking of three consecutive integers. Four times the third decreased by one-half the second is 4." means that 4%28x%2B2%29-%281%2F2%29%28x%2B1%29=4 where 'x' is the first integer, 'x+1' is the second integer and 'x+2' is the third integer.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider making a donation at my tutoring website

Jim