(Math Plato) Drag the tiles to the correct boxes to complete the pairs. Solve the inequalities for x, and match each solution to its number line graph.
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Answer:
1. [tex]0.82x[/tex]
2. [tex]1.18x[/tex]
3. [tex]\dfrac{7}{10}x[/tex]
4. [tex]\dfrac{13}{10}x[/tex]
Step-by-step explanation:
1. List price [tex]= \$x[/tex]
Discount = 18%
New price [tex]=\$x-0.18\cdot \$x=\$0.82x[/tex]
2. Amount needed to build the toy [tex]=\$x[/tex]
Add = 18%
Selling price [tex]=\$x+0.18\cdot \$x=\$1.18x[/tex]
3. Initial volume of water [tex]=x[/tex]
Fraction drained [tex]=\dfrac{3}{10}[/tex]
Fraction left [tex]=1-\dfrac{3}{10}=\dfrac{7}{10}[/tex]
Volume lext [tex]=\dfrac{7}{10}x[/tex]
4. Initial amount [tex]=x[/tex]
Fraction received [tex]=\dfrac{3}{10}[/tex]
Final fraction [tex]=1+\dfrac{3}{10}=\dfrac{13}{10}[/tex]
Final amount [tex]=\dfrac{13}{10}x[/tex]