43.6=x*362.5+(1-x)*(362.4*1.233)

asked by guest
on Apr 10, 2025 at 12:57 am



You asked:

Solve the equation 43.6=x⋅362.5+(1−x)⋅362.4⋅1.23343.6 = x \cdot 362.5 + \left(1 - x\right) \cdot 362.4 \cdot 1.233 for the variable xx.

MathBot Answer:

The solution is: x=504049105424=4.78115988769160722416148125663985430262558810138108969494612232508726665654879344361815146456214903627257550462892699954469570496281681590529670663226589770830171497951130672332675671573835179845196539687357717407800880254970405220822583093033844285931097283351039611473668234937016239186522992866899377750796782516315070572165730763393534679010471998785855213234178175747457884352709060555471239945363484595538017908635604795871907724996205797541356806799210805888602215814235847624829260889361056305964486264987099711640613143117316740021247533768401881924419487023827591440279253300956139019578084686‾x = \frac{504049}{105424} = 4.7811\overline{5988769160722416148125663985430262558810138108969494612232508726665654879344361815146456214903627257550462892699954469570496281681590529670663226589770830171497951130672332675671573835179845196539687357717407800880254970405220822583093033844285931097283351039611473668234937016239186522992866899377750796782516315070572165730763393534679010471998785855213234178175747457884352709060555471239945363484595538017908635604795871907724996205797541356806799210805888602215814235847624829260889361056305964486264987099711640613143117316740021247533768401881924419487023827591440279253300956139019578084686}

43.6=446.8392−84.3392x84.3392x=403.2392x=504049105424\begin{aligned}43.6 &= 446.8392 - 84.3392 x\\84.3392 x &= 403.2392\\x &= \frac{504049}{105424}\end{aligned}

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