Answer:
A
Step-by-step explanation:
From the diagram:
- P(-4,6)→P'(4,6);
- Q(-7,4)→Q'(7,4);
- R(-6,1)→R'(6,1);
- S(-2,1)→S'(2,1);
- T(-1,4)→T'(1,4).
The general rule of this reflection is
(x,y)→(-x,y)
and this is reflection across the y-axis. The y-axis has the equation x=0.
Ally ran 5 miles in 36 minutes.
Ally's speed is (5 miles)/(36 minutes) = 0.13888 miles per minute.
At that speed, Ally would run 6 miles in (6 miles)/(0.13888 miles/min) = 43.2 minutes.
Ally runs faster than Sami, so Sami must take longer to run 6 miles than Ally.
The only time that is longer than 43.2 minutes is 48 minutes.
Answer:
About $1.86
Step-by-step explanation:
It could be rounded to $1.90.
Answer:
36,060,024 ways
Step-by-step explanation:
To choose the winner in this case, the order is very important because it determines who is chosen first out of the seventy-nine customers whose names were entered for the draw.
The above supports the reason Permutation will be used instead of Combination.
The total number of ways is given by:
⁷⁹P₄ = 79!/(79-4)!
= 79!/75!
= [79 x 78 x 77 x 76 x75!]/75!
= 79 x 78 x 77 x 76
= 36,060,024 ways
This implies that there are 36,060,024 ways the Bean Coffee Shop could choose the winners.
