Well the GCF is the number that can be used to simplify, or that fits in all of your numbers for example this are all small numbers so 2 should fit in all of them 2 fits in 4 two times 2 fits in 2 one time and 2 fits in 6 three times now lets check our variable, to find the GCF of the variable first chekc if they all have the same if they don't u can't get none of taht variebles out, but if they repeat in all like the a u will take out the smallest amount out, for example the a as one in the degree of 1 the other in to the 2 degree and the last one to teh 3 degree well the smallest degree will be 1 so u will only take 1 a out so now ur GCF looks like 2a... Lets check the other variables, b is used in all of them and the smallest degree is b2 so we will take out 2 b's out so now my GCF looks like 2ab2 now lets check our last variable the, the c has the smallest degree of 1 so we will only take 1 c out
this means our final GCF is "2ab2c"
Hoep this helps
17. On average, Nestor works 7.5 hours of overtime in 4 weeks, so works an average of 7.5/4 = 1.875 overtime hours per week.
On average, each week Nestor gets paid for 7.5×5 + 2×1.875 = 41.25 hours, so is paid*
... (41.25 h)×($7.42/h) = $306.075
Each week Rita gets paid for 8×5 + 1.5×3 = 44.5 hours, so is paid
... (44.5 h)×($7.64/h) = $339.98
Their combined earning for a week are $306.075 + 339.98 = $646.055, so over a period of 12 weeks, they are paid a total of
... (12 weeks)×($646.055/week) = $7,752.66
18. Assuming Robin is paid time and a half for overtime, she was paid for
... 40 + 1.5×6 = 49 . . . hours
Then her hourly pay was ($392/week)/(49 hours/week) = $8.00 per hour
___
* The half-cent that shows up in Nestor's average weekly pay does not actually show up in Nestor's paycheck. Here, it is an artifact of dividing his monthly hour total by 4 to get a weekly average. Nestor's total pay for any given week is whole number of cents.
a) Number of seats expected to be empty = 18
b) Number of passengers expected to show up for the flight = 291
Step-by-step explanation:
Step 1:
Probability that a passenger will not show up for the flight = 6%
Total capacity of the flight when fully booked = 300
Step 2 :
a)
Number of seats expected to be empty = 6% of 300 =
× 300 = 18
b)
Number of passengers over booked = 10
Probability that a passenger will turn up for a flight = 100 - 6% = 94%
Number of passengers when the flight is overbooked = 300 + 10 = 310
Hence number of passengers who are expected to show up for the flight = 94% of 310 =
× 310 = 291.4 = 291 (rounded of whole number as this represents number of passengers)
Step 3 :
Answer :
a) Number of seats expected to be empty = 18
b) Number of passengers expected to show up for flight = 291
The perimeter is the distance all the way around.
That's the sum of all the sides.
A triangle has 3 sides.
In an equilateral triangle, they're all the same length.
If one of them is 9.9 cm, then all of them add up to (3) · (9.9 cm) .
Answer- Irrational
Explanation