Answer:
[tex]-\frac{10x}{13}+\frac{1600}{13}[/tex]
or
[tex]-0.76923\dots x+123.07692\dots[/tex]
Step-by-step explanation:
As we have to determine what is 800-5x divided by 6.5. So,
Considering the expression
[tex]\frac{800-5x}{6.5}[/tex]
Lets solving the expression
[tex]\frac{800-5x}{\frac{65}{10}}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}[/tex]
[tex]\frac{\left(800-5x\right)\cdot \:10}{65}[/tex]
[tex]\frac{\left(800-5x\right)\cdot \:2}{13}[/tex]
[tex]\frac{1600-10x}{13}[/tex]
[tex]\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}-10x+1600[/tex]
[tex]\mathrm{and\:the\:divisor\:}13\mathrm{\::\:}\frac{-10x}{13}=-\frac{10x}{13}[/tex]
[tex]\mathrm{Quotient}=-\frac{10x}{13}[/tex]
[tex]\mathrm{Multiply\:}13\mathrm{\:by\:}-\frac{10x}{13}:\:-10x[/tex]
[tex]\mathrm{Subtract\:}-10x\mathrm{\:from\:}-10x+1600\mathrm{\:to\:get\:new\:remainder}[/tex]
[tex]\mathrm{Remainder}=1600[/tex]
[tex]\mathrm{Therefore}[/tex],
[tex]\frac{-10x+1600}{13}=-\frac{10x}{13}+\frac{1600}{13}[/tex]
Or simplifying further
[tex]\frac{-10x+1600}{13}=-\frac{10x}{13}+\frac{1600}{13}[/tex]
[tex]=-0.76923\dots x+123.07692\dots[/tex]
Keywords: expression, simplification, division
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