Question

Simplify.

Answer 1

Answer and Explanation:

1) Given : Expression $\frac{8}{9}+(-\frac{5}{6})\frac{1}{6}$

To find : Simplify the expression?

Solution :

$\frac{8}{9}+(-\frac{5}{6})\frac{1}{6}$

Applying BODMAS rule,

$=\frac{8}{9}-\frac{5}{36}$

$=\frac{32-5}{36}$

$=\frac{27}{36}$

$=\frac{3}{4}$

Therefore, $\frac{8}{9}+(-\frac{5}{6})\frac{1}{6}=\frac{3}{4}$

2) Given : Expression $0.3(14-1)+0.35$

To find : What is the value of the expression?

Solution :

$0.3(14-1)+0.35$

Applying BODMAS rule,

$=0.3(13)+0.35$

$=3.9+0.35$

$=4.25$

Therefore, $0.3(14-1)+0.35=4.25$

3) Given : Last week, Chen bought ​ $8\frac{1}{2}$ ​ gallons of gas at $2.30 per gallon. This week, he bought ​$4\frac{3}{10}$ ​ gallons of gas at $2.70 per gallon.

To find : What was his total cost?

Solution :

Chen bought $8\frac{1}{2}=\frac{17}{2}$ gallons at the rate of $2.30 per gallon.

He bought $4\frac{3}{10}=\frac{43}{10}$ gallons at the rate of $2.70 per gallon.

The total cost is give by,

$C=\frac{17}{2}\times 2.30+\frac{43}{10}\times 2.70$

$C=19.55+11.61$

$C=31.16$

The total cost was $31.16.

Answer 2

1.) 3/4 or .75
2.)A and D?
3.)13,504.60

Hopefully this helped!:)