Answer:
The biker is traveling at miles per hour.
Step-by-step explanation:
To find the rate, in miles per hour, you must use the formula r = d/t.
(r = rate)
(d = distance)
(t = time)
÷ =
Manuel gets paid $460 for the first 40 hours of work, and an additional $103.50 for the 6 hours of overtime, making his total weekly pay $563.50 if he works 46 hours per week.
To calculate Manuel's weekly wage based on his hourly rate, we first need to consider his regular work hours and his overtime hours separately.
For his regular work hours, which are the first 40 hours, Manuel is paid at his regular hourly rate of $11.50. Therefore, his earnings for the 40 hours are: 40 hours * $11.50/hour = $460.
If he works more than 40 hours in a week, the additional hours are considered overtime.
For these extra hours, he is paid 1.5 times his regular pay. In this case, Manuel worked 46 hours, so he had 6 hours of overtime. His overtime earnings are: 6 hours * 1.5 * $11.50/hour = $103.50.
Adding these together, in a 46-hour week, Manuel's total earnings would be $460 + $103.50 = $563.50.
#SPJ2
To solve for 'b' when 'a' = 21 in a direct variation relationship where 'a' = 7 when 'b' = 2, first determine the constant of proportionality. Then, insert 'a' into the formula and solve for 'b'. The solution of 'b' would be 6.
In this scenario, we are given that a varies directly as b, which means we can state this relationship as a = kb, where k is a constant of proportionality. Initially, we're given that a = 7 when b = 2. From this, we can find that k = a / b, so k = 7 / 2 = 3.5. Therefore, our direct variation equation is a = 3.5b.
When a = 21, we can substitute this into the direct variation equation and solve for b. Thus, 21 = 3.5b, and by dividing both sides by 3.5, we can find that b = 6.
#SPJ11