Respuesta :

Answer:

59.675

Step-by-step explanation:

Answer:

[tex]=59.675[/tex]

Step-by-step explanation:

[tex]Steps\\$170.50\cdot\:35\%\:$\\\\[/tex]

[tex]35\%\mathrm{\:in\:fractions}:\quad \frac{7}{20}\\\\Percent: \mathrm{A\:ratio\:expressed\:as\:a\:fraction\:out\:of\:a\:hundred.}\\\\\mathrm{In\:order\:to\:convert\:a\:percent\:to\:a\:ratio,\:divide\:it\:by\:100}:\quad \:a\%=\frac{a}{100}\\a=35\\\\35\%\:=\frac{35}{100}\\\\\mathrm{Simplify}\:\frac{35}{100}\\\frac{7}{20}\\\\And\ that\ leaves\ you\ now\ with: =170.5\cdot \frac{7}{20}\\\\\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\\\=\frac{7\cdot \:170.5}{20}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:7\cdot \:170.5=1193.5\\\\=\frac{1193.5}{20}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{1193.5}{20}=59.675[/tex]