radix

Jedes Glied in der Klammer mit 7 multiplizieren :

(a-b)*7 = 7*a -7*b = 7a - 7b

Anwendung des Distributivgesetzes ( Verteilungsgesetz ).

Gruß radix !  ( Ich habe mich über dein DANKE gefreut !)

3a*5b = 3*a*5*b = 3*5*a*b = 15 ab

So einfach geht das !

Ich habe das Kommutativgesetz (Vertauschungsgesetz)  der Multiplikation angewendet.

Gruß radix !

Pi  ist wohl mehr rund als rechteckig !!

Du benötigst   Pi   nämlich bei  runden  Flächen und Körpern !

Die nachfolgende Antwort von Anonymous ist natürlich sinnvoll und prima !

Ich hatte die Frage mehr als Scherzfrage verstanden und sie auch so beantwortet.

Gruß radix !

Amy      :   x $

Tim        :  x + 39,35

( x + 39,35 ) *7 / 9 = 114.45

( x + 39,35) =  $${\frac{{\mathtt{114.45}}{\mathtt{\,\times\,}}{\mathtt{9}}}{{\mathtt{7}}}} = {\frac{{\mathtt{2\,943}}}{{\mathtt{20}}}} = {\mathtt{147.15}}$$

x = $${\mathtt{147.15}}{\mathtt{\,-\,}}{\mathtt{39.35}} = {\frac{{\mathtt{539}}}{{\mathtt{5}}}} = {\mathtt{107.8}}$$

Amy  had  107.80 $  . She spend  3/11   =>

  $${\frac{{\mathtt{107.8}}{\mathtt{\,\times\,}}{\mathtt{11}}}{{\mathtt{3}}}} = {\frac{{\mathtt{5\,929}}}{{\mathtt{15}}}} = {\mathtt{395.266\: \!666\: \!666\: \!666\: \!666\: \!7}}$$      =>   395.27 $

Amy spend on her clothes 395.27 $ .

Gruß radix !

Try this :  click twice upon    =      !!

4 pi = w - 6pi

w = 4 pi + 6 pi            =>  w  = 10 pi  = $${\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{\pi}} = {\mathtt{31.415\: \!926\: \!535\: \!897\: \!932\: \!4}}$$

$${\mathtt{V}} = {\frac{{\mathtt{1.2}}{\mathtt{\,\times\,}}{\mathtt{0.4}}{\mathtt{\,\times\,}}{\mathtt{0.2}}{\mathtt{\,\times\,}}{\mathtt{4}}}{{\mathtt{5}}}} \Rightarrow {\mathtt{V}} = {\mathtt{0.076\: \!8}}$$     m³  are in the tank  = 76,8 litre

$${\frac{{\mathtt{76.8}}}{{\mathtt{1.3}}}} = {\frac{{\mathtt{768}}}{{\mathtt{13}}}} = {\mathtt{59.076\: \!923\: \!076\: \!923\: \!076\: \!9}}$$     You can fill  59   1.3 litre-pails .

$${\mathtt{76.8}}{\mathtt{\,-\,}}{\mathtt{59}}{\mathtt{\,\times\,}}{\mathtt{1.3}} = {\frac{{\mathtt{1}}}{{\mathtt{10}}}} = {\mathtt{0.1}}$$        0.1 litre = 100 ml = 100 cm³  is left in the tank.

Gruß radix !

Lynn has  x $  and spents   1/4 * x

Stacy spents   60 $          ;    together  450 $

$${\frac{{\mathtt{1}}}{{\mathtt{4}}}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{60}} = {\mathtt{450}}$$       =>      $${\frac{{\mathtt{1}}}{{\mathtt{4}}}}{\mathtt{\,\times\,}}{\mathtt{x}} = {\mathtt{390}}$$      =>  x = 1560  $

Lynn had 1560 $

$${\frac{{\mathtt{1\,560}}}{{\mathtt{4}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{60}} = {\mathtt{450}}$$

Gruß radix !

$${\mathtt{48}}\% = {\frac{{\mathtt{48}}}{{\mathtt{100}}}} = {\frac{{\mathtt{24}}}{{\mathtt{50}}}} = {\frac{{\mathtt{12}}}{{\mathtt{25}}}}$$

Hello MaiaMitchell !

Here my answer !

all fruits together:   x                             =>  1040

pears                 :   3/16 * x                  =>    195

oranges              :   1/4 * x                   =>    260

apples                :  585                          =>   585

$${\frac{{\mathtt{3}}}{{\mathtt{16}}}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{4}}}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{585}} = {\mathtt{x}}$$             |  * 16

3x + 4x  + 9360 = 16x

9360 = 9x     =>     x = 1040      ( all fruits )

Gruß radix !