Vince worked 528 hours in 11 weeks. At what rate did he work in hours per week?
To find the rate at which Vince worked in hours per week, we need to divide the total number of hours worked by the number of weeks he worked:
Rate = Total hours worked / Number of weeks
Rate = 528 / 11
Rate = 48
Therefore, Vince worked at a rate of 48 hours per week.
Ronald is calculating the time required to fill the swimming pool at school. He found that it takes 14 minutes to fill the swimming pool with 126 gallons of water. At what rate does the swimming pool fill, in gallons per minute?
To find the rate at which the swimming pool fills, we need to divide the number of gallons of water by the time it takes to fill the pool:
Rate = Gallons of water / Time to fill the pool
Rate = 126 / 14
Rate = 9
Therefore, the swimming pool fills at a rate of 9 gallons per minute.
12(-4)
The expression 12(-4) can be simplified using the order of operations, which is a set of rules that dictate the order in which calculations are performed. The order of operations is:
1. Perform operations inside parentheses.
2. Evaluate all powers (exponents).
3. Perform all multiplication and division, from left to right.
4. Perform all addition and subtraction, from left to right.
Following these rules, we can simplify 12(-4) as follows:
12(-4) = -48
Therefore, 12(-4) is equal to -48.
-6(-3)
The expression -6(-3) can be simplified as follows:
-6(-3) = 18
Therefore, -6(-3) is equal to 18.
-16/-4
The expression -16/-4 can be simplified as follows:
-16/-4 = 4
Therefore, -16/-4 is equal to 4.