Answer:
number of ways = 720
Step-by-step explanation:
The number of ways six people sit in a six-passenger car is given by the number of permutations of 6 elements in 6 different positions ( seats), then
number of ways = number of permutations of 6 elements = 6! = 6 * 5 * 4 *3 * 2 * 1 = 720
Since the first person that sits can be on any of the seats , but then the second person that sits can choose any of 5 seats (since the first person had already occupied one) , the third can choose 4 ... and so on.
Answer:
Calgary is the coldest
Step-by-step explanation:
The simple way to determine this will be to change the value of temperatures given in Fahrenheit to Celsius
32 F = 0°C
Formula to apply will be (T-32)×5/9 -------------where T is temperatures in Fahrenheit
Bangor is -3F-------------------change to Celsius
(-3-32)×5/9 =-35 × 5/9 = -19.44°C
Fairbanks is -12 ------------------------change to Celsius
(-12-32)×5/9 = -44 × 5/9 = -24.44°C
Fargo is -8 F ---------------------Change to Celsius
(-8-32)×5/9= -40×5/9 = -22.22°C
Calgary is -15 F-------------------------Change to Celsius
(-15-32)×5/9 = -47×5/9 = -26.11°C--------------coldest
ceiling(700/40) = ceiling(17.5) = 18 . . . . ceiling(x) is the smallest integer ≥ x.
The smallest integer multiple of 40 that is larger than 700 is 18.
The number of packages of buns will be 18*5 = 90.
The number of packages of hotdogs will be 18*4 = 72.
_____
These numbers will ensure that you have 20 bun/hotdog combinations left over. If you want to minimize leftovers, you would use 88 packages of buns and 70 packages of hotdogs. That would give you 4 buns and no hotdogs left over.
The scale factor that takes triangle XYZ to X’Y’Z’ is 2.