Final answer:
To calculate the expression, multiply (1/6) by 0.0759 and (3/4) by 0.1136 separately, then add the two products together. The final result to four significant figures is 0.09785.
Step-by-step explanation:
To calculate the expression ((1)/(6))0.0759+((3)/(4))0.1136 and express the result as a decimal, follow these steps:
Multiply (1/6) by 0.0759, which equals approximately 0.012650.
Multiply (3/4) by 0.1136, which equals approximately 0.08520.
Add the two results together to get 0.012650 + 0.08520 = 0.09785.
According to the rule of significant figures, we need to round the final result to the least number of significant decimal places of any number in the equation. Since we're given numbers up to four significant figures in the equation, the final result should also be expressed to four significant figures, thus our answer is 0.09785.