Answer and Explanation:
1) Given : Expression [tex]\frac{8}{9}+(-\frac{5}{6})\frac{1}{6}[/tex]
To find : Simplify the expression?
Solution :
[tex]\frac{8}{9}+(-\frac{5}{6})\frac{1}{6}[/tex]
Applying BODMAS rule,
[tex]=\frac{8}{9}-\frac{5}{36}[/tex]
[tex]=\frac{32-5}{36}[/tex]
[tex]=\frac{27}{36}[/tex]
[tex]=\frac{3}{4}[/tex]
Therefore, [tex]\frac{8}{9}+(-\frac{5}{6})\frac{1}{6}=\frac{3}{4}[/tex]
2) Given : Expression [tex]0.3(14-1)+0.35[/tex]
To find : What is the value of the expression?
Solution :
[tex]0.3(14-1)+0.35[/tex]
Applying BODMAS rule,
[tex]=0.3(13)+0.35[/tex]
[tex]=3.9+0.35[/tex]
[tex]=4.25[/tex]
Therefore, [tex]0.3(14-1)+0.35=4.25[/tex]
3) Given : Last week, Chen bought [tex]8\frac{1}{2}[/tex] gallons of gas at $2.30 per gallon. This week, he bought [tex]4\frac{3}{10}[/tex] gallons of gas at $2.70 per gallon.
To find : What was his total cost?
Solution :
Chen bought [tex]8\frac{1}{2}=\frac{17}{2}[/tex] gallons at the rate of $2.30 per gallon.
He bought [tex]4\frac{3}{10}=\frac{43}{10}[/tex] gallons at the rate of $2.70 per gallon.
The total cost is give by,
[tex]C=\frac{17}{2}\times 2.30+\frac{43}{10}\times 2.70[/tex]
[tex]C=19.55+11.61[/tex]
[tex]C=31.16[/tex]
The total cost was $31.16.
