Här förklaras gymnasiematten utan vrickade härledningar och bevis som oftast bara krånglar till det hela. Duger inte förklaringarna på sidan så kika gärna i forumet.


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Ny tråd Svara på tråd  [ 6 inlägg ] 
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 Inläggsrubrik: ekvationer
InläggPostat: 07 nov 2011, 12:16 
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Blev medlem: 07 nov 2011, 12:13
Inlägg: 2
Jag har otroligt svårt för matte så hade uppskattat om någon ville hjälpa mig med följande tal!

1.) Du har uttrycket -2x + 5 + 6x - 8.

a) Förenkla uttrycket så långt som möjligt.

b) Beräkna uttryckets värde då x = -2.

och

Anna tjänar 2 000 kr mer i månaden än sin man Bosse. Deras dotter Cecilia har ett deltidsjobb, och tjänar hälften så mycket som sin pappa. De tre familjemedlemmarnas gemensamma lön är 63 500 kr i månaden. Beräkna Annas lön med hjälp av en ekvation


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 Inläggsrubrik: Re: ekvationer
InläggPostat: 07 nov 2011, 13:38 
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Blev medlem: 10 maj 2011, 17:24
Inlägg: 642
Hej, du kan titta på talen framför bokstäverna och lägga ihop dem:

-2 + 6 = 4 och därför har vi 4x

5 - 8 = -3 och vi skriver:

4x - 3

Nu ska x ha värdet -2 och det sätter vi på x-ets plats:

4 * (-2) - 3 = - 8 -3 = - 11

Anna tjänar 2 000 kr mer i månaden än sin man Bosse. Deras dotter Cecilia har ett deltidsjobb, och tjänar hälften så mycket som sin pappa. De tre familjemedlemmarnas gemensamma lön är 63 500 kr i månaden. Beräkna Annas lön med hjälp av en ekvation

Om Bosses lön är x kr så är Annas lön x + 2000. Cecilia tjänar hälften av fadern det vill säga x/2 kr. Lägger vi ihop allas löner så ser det ut så här:

x + x + 2000 + x/2 = 63500

Vi har

2,5x + 2000 = 63500

2,5x = 63500 - 2000

2,5x = 61500

x = 61500/2,5

x= 24600

Nu var ju x Bosses lön och Cecilia tjänade hälften av den, alltså 24600/2 = 12300 kr


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 Inläggsrubrik: Re: ekvationer
InläggPostat: 07 nov 2011, 14:08 
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Blev medlem: 07 nov 2011, 12:13
Inlägg: 2
tack för hjälpen, den här är också en jag inte kan få ihop

Ett rederi ger 30% rabatt till studerande. Vid en överfart var 245 personer ombord på färjan, varav 55 var studerande. Rederiet fick in 47 985 kr i biljettavgifter. Hur mycket betalar en studerande för överfarten? Lös uppgiften med hjälp av en ekvation.

förklara gärna hur du tänker, tacksam för hjälpen!


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 Inläggsrubrik: Re: ekvationer
InläggPostat: 07 nov 2011, 15:52 
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Blev medlem: 10 maj 2011, 17:24
Inlägg: 642
Ett rederi ger 30% rabatt till studerande. Vid en överfart var 245 personer ombord på färjan, varav 55 var studerande. Rederiet fick in 47 985 kr i biljettavgifter. Hur mycket betalar en studerande för överfarten? Lös uppgiften med hjälp av en ekvation.


Vi ser att rederiet fick in 47 985 kr på 245 passagerare. Om alla hade betalt fullt pris så hade 245 * priset = 47 985. Det var 55 studerande och 190 andra. Att man får 30 % rabatt innebär att man betalar 70 %. Om vi antar att ordinarie pris är x så kan vi skriva

55* 0,7*x + 190*x = 47 985

38,5 x + 190 x = 47 985

228,5 x = 47985

x = 210 som är ordinarie pris, studenter betalar 70 % av det, det vill säga 147 kr.


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 Inläggsrubrik: Re: ekvationer
InläggPostat: 24 okt 2017, 07:54 
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 Inläggsrubrik: Re: ekvationer
InläggPostat: 18 dec 2017, 09:44 
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Blev medlem: 23 jun 2017, 10:22
Inlägg: 391
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