75=x(306.15)+(1-x)564.46

asked by guest
on Nov 24, 2024 at 7:09 am



You asked:

Solve the equation \(75 = x\left( 306.15 \right) + \left(1 - x\right) \cdot 564.46\) for the variable \(x\).

MathBot Answer:

The solution is: \[x = \frac{48946}{25831} = 1.\overline{894855019163021176106228949711586853006077968332623591808292361890751422709147923038209902829933026208818861058418179706554140373969261739770043745886725252603460957763927064380008516898300491657310982927490224923541481166040803685494173667298981843521350315512368859122759475049359296968758468506832875227439897797220394100112268204870117300917502226007510355774069915992412217877743796213851573690526886299407688436374898377918005497270721226433355270798652781541558592388989973287909875730711161008091053385467074445433781115713677364407107738763501219464983934032751345282799736750416166621501296891332120320545081491231466067902907359374395106654794626611435871627114707134837985366420192791606983856606403158995006000541984437304014556153459022105222407185165111687507258720142464480662769540474623514381944175602957686500716193720723162092059927993496186752351825326158491734737331113778018659749912895358290426232046765514304517827416669892764507761991405675351322054895280864078045758971778096086098099183152026634663776083001045255700514885215438813828345786070999961286825906856103131895784135341256629631063450892338662846966822809802175680384034687003987456931593821377414734234059850567148000464558089117726762417250590375904920444427238589291936045836398126282373891835391583755952150516820874143471023189191281793194223994425302930587278850992992915489140954666873136928496767449963222484611513297975300994928574193798149510278347721729704618481669312066896364832952653788084085014130308543997522356858038790600441330184661840424296388060857109674422205876659827339243544578219968255197243622004568154542990979830436297472029731717703534512794704037784057914908443343269714683906933529480082071929077465061360380937633076535945182145484108242034764430335643219387557585846463551546591305021098679880763423793116797646239015136851070419263675428748403081568657814254190701095582826835972281367349308969842437381440904339746815841430838914482598428245131818357787154968835}\]

\[\begin{aligned}75 &= 564.46 - 258.31 x\\258.31 x &= 489.46\\x &= \frac{48946}{25831}\end{aligned}\]

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