<h3>
Answer: 10,080</h3>
Explanation:
There are 8 letters so there are 8! = 8*7*6*5*4*3*2*1 = 40,320 permutations of those letters. However, the letters "O" and "L" show up twice each, so we must divide by 2! = 2*1 = 2 for each instance this happens.
So,
(8!)/(2!*2!) = (40,320)/(2*2) = (40,320)/4 = 10,080
is the number of ways to arrange the letters of "football".
The reason we divide by 2 for each instance of a duplicate letter is because we can't tell the difference between the two "O"s or the two "L"s. If there was a way to distinguish between them, then we wouldnt have to divide by 2.
Answer:
-40%
Step-by-step explanation:
NV = new value
OV = old value
percent change = (NV - OV)/(OV) × 100%
percent change = (30 - 50)/(50) × 100%
percent change = -20/50 × 100%
percent change = -40%
100 miles in 4 hours. The unit rate would be 25 miles per hour.
100miles / 4hrs = 25 miles per hour
Therefore, for every hour you travel, you will gain 25 miles. Or for every 25 miles you travel, you've spent 1 hour traveling it.
y = 25x
where y is the total miles traveled, 25 is the constant unit rate, and x is the number of hours traveled.
for example: you traveled for 8 hours and you want to know how long you've traveled while maintaining the rate of 25mph. Just use the formula
y = 25x
y = 25(8)
y = 200 miles. you have traveled 200 miles in 8 hours.
Answer:
9
Step-by-step explanation:
