(13 x 0.1) + (16 x 0.1) + (17 x 0.1) + (18 x 0.2) + (20 x 0.2) + (23 x 0.3)

asked by guest
on Apr 01, 2025 at 12:09 pm



You asked:

Evaluate the expression: 13⋅0.1+16⋅0.1+17⋅0.1+18⋅0.2+20⋅0.2+23⋅0.313 \cdot 0.1 + 16 \cdot 0.1 + 17 \cdot 0.1 + 18 \cdot 0.2 + 20 \cdot 0.2 + 23 \cdot 0.3

MathBot Answer:

13⋅0.1+16⋅0.1+17⋅0.1+18⋅0.2+20⋅0.2+23⋅0.3=19110=19.113 \cdot 0.1 + 16 \cdot 0.1 + 17 \cdot 0.1 + 18 \cdot 0.2 + 20 \cdot 0.2 + 23 \cdot 0.3 = \frac{191}{10} = 19.1

13⋅0.1+16⋅0.1+17⋅0.1+18⋅0.2+20⋅0.2+23⋅0.3=13⋅110+16⋅0.1+17⋅0.1+18⋅0.2+20⋅0.2+23⋅0.3=1310+16⋅0.1+17⋅0.1+18⋅0.2+20⋅0.2+23⋅0.3=1310+16⋅110+17⋅0.1+18⋅0.2+20⋅0.2+23⋅0.3=1310+85+17⋅0.1+18⋅0.2+20⋅0.2+23⋅0.3=2910+17⋅0.1+18⋅0.2+20⋅0.2+23⋅0.3=2910+17⋅110+18⋅0.2+20⋅0.2+23⋅0.3=2910+1710+18⋅0.2+20⋅0.2+23⋅0.3=235+18⋅0.2+20⋅0.2+23⋅0.3=235+18⋅15+20⋅0.2+23⋅0.3=235+185+20⋅0.2+23⋅0.3=415+20⋅0.2+23⋅0.3=415+20⋅15+23⋅0.3=415+4+23⋅0.3=615+23⋅0.3=615+23⋅310=615+6910=19110\begin{aligned}13 \cdot 0.1 + 16 \cdot 0.1 + 17 \cdot 0.1 + 18 \cdot 0.2 + 20 \cdot 0.2 + 23 \cdot 0.3&=13 \cdot \frac{1}{10} + 16 \cdot 0.1 + 17 \cdot 0.1 + 18 \cdot 0.2 + 20 \cdot 0.2 + 23 \cdot 0.3\\&=\frac{13}{10} + 16 \cdot 0.1 + 17 \cdot 0.1 + 18 \cdot 0.2 + 20 \cdot 0.2 + 23 \cdot 0.3\\&=\frac{13}{10} + 16 \cdot \frac{1}{10} + 17 \cdot 0.1 + 18 \cdot 0.2 + 20 \cdot 0.2 + 23 \cdot 0.3\\&=\frac{13}{10} + \frac{8}{5} + 17 \cdot 0.1 + 18 \cdot 0.2 + 20 \cdot 0.2 + 23 \cdot 0.3\\&=\frac{29}{10} + 17 \cdot 0.1 + 18 \cdot 0.2 + 20 \cdot 0.2 + 23 \cdot 0.3\\&=\frac{29}{10} + 17 \cdot \frac{1}{10} + 18 \cdot 0.2 + 20 \cdot 0.2 + 23 \cdot 0.3\\&=\frac{29}{10} + \frac{17}{10} + 18 \cdot 0.2 + 20 \cdot 0.2 + 23 \cdot 0.3\\&=\frac{23}{5} + 18 \cdot 0.2 + 20 \cdot 0.2 + 23 \cdot 0.3\\&=\frac{23}{5} + 18 \cdot \frac{1}{5} + 20 \cdot 0.2 + 23 \cdot 0.3\\&=\frac{23}{5} + \frac{18}{5} + 20 \cdot 0.2 + 23 \cdot 0.3\\&=\frac{41}{5} + 20 \cdot 0.2 + 23 \cdot 0.3\\&=\frac{41}{5} + 20 \cdot \frac{1}{5} + 23 \cdot 0.3\\&=\frac{41}{5} + 4 + 23 \cdot 0.3\\&=\frac{61}{5} + 23 \cdot 0.3\\&=\frac{61}{5} + 23 \cdot \frac{3}{10}\\&=\frac{61}{5} + \frac{69}{10}\\&=\frac{191}{10}\end{aligned}

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