jason worked 20 hours at $5 per hour and 30 hours at $6 per hour. what was his average hourly wage?
To find Jason's average hourly wage, we first need to calculate the total amount he earned from working the two jobs.
From working 20 hours at $5 per hour, Jason earned 20 * $5 = $100.
From working 30 hours at $6 per hour, Jason earned 30 * $6 = $180.
Adding these two amounts together, Jason earned a total of $100 + $180 = $280.
Next, we need to calculate the total number of hours Jason worked.
Jason worked a total of 20 + 30 = 50 hours.
To find his average hourly wage, we divide the total amount earned by the total number of hours worked:
$280 / 50 = $5.60 per hour.
Therefore, Jason's average hourly wage was $5.60.
What is the quotient represented by the expression (8w^2-20w-12)/2w+1 for all values of w where the expression is defined?
To find the quotient represented by the expression (8w^2 - 20w - 12) / (2w + 1), we need to perform polynomial long division or synthetic division by dividing the numerator by the denominator.
Perform the division as follows:
4w - 10
________________________
2w + 1 | 8w^2 - 20w - 12
- (8w^2 + 4w)
________________
-24w - 12
- (-24w - 12)
_______________
0
Therefore, the quotient represented by the expression is 4w - 10.