Răspuns :
Răspuns:
[tex]\bf a)\; \boxed{\bf \dfrac{27}{2} }[/tex]
[tex]\bf b)\;\; \boxed{\bf\;\; a\cdot b =54\;\;}[/tex]
[tex]\bf c)\;\; \boxed{\bf b=3}[/tex]
Explicație pas cu pas:
[tex]\bf \;[/tex]
[tex]\bf \dfrac{a}{16-\dfrac{1}{8};0,05 } = \dfrac{4}{b} \iff \dfrac{a}{16-\dfrac{1}{8}:\dfrac{5}{100}^{(5} } = \dfrac{4}{b}[/tex]
[tex]\bf \;[/tex]
[tex]\bf \dfrac{a}{16-\dfrac{1}{8}:\dfrac{5}{100}^{(5} } = \dfrac{4}{b} \iff \dfrac{a}{16-\dfrac{1}{8}:\dfrac{1}{20} } = \dfrac{4}{b}[/tex]
[tex]\bf \;[/tex]
[tex]\bf \dfrac{a}{16-\dfrac{1}{8} \cdot \dfrac{20}{1}} = \dfrac{4}{b} \iff \dfrac{a}{16-\dfrac{20 }{8}^{(4} } = \dfrac{4}{b}[/tex]
[tex]\bf \;[/tex]
[tex]\bf \dfrac{a}{16-\dfrac{5}{2} } = \dfrac{4}{b} \iff \dfrac{a}{\dfrac{32}{2} - \dfrac{5}{2} } = \dfrac{4}{b}[/tex]
[tex]\bf \;[/tex]
[tex]\bf \dfrac{a}{ \dfrac{27}{2} } = \dfrac{4}{b} \iff a:\dfrac{27}{2} = \dfrac{4}{b} \iff a \cdot \dfrac{2}{27} = \dfrac{4}{b}[/tex]
[tex]\bf \;[/tex]
[tex]\bf \dfrac{2a}{27} = \dfrac{4}{b} \implies 2ab=4 \cdot 27 \iff a\cdot b = \dfrac{27 \cdot 4}{2} = \boxed{\bf 54}\;\; (b)[/tex]
[tex]\bf \;[/tex]
[tex]\bf c)\; a=18 \implies a\cdot b = 54 \;\; \Bigg|\;\; b = \dfrac{54}{18} = \boxed{\bf 3}[/tex]
[tex]\bf \;[/tex]
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