Answer:
There are 165 ways to distribute the blackboards between the schools. If at least 1 blackboard goes to each school, then we only have 35 ways.
Step-by-step explanation:
Essentially, this is a problem of balls and sticks. The 8 identical blackboards can be represented as 8 balls, and you assign them to each school by using 3 sticks. Basically each school receives an amount of blackboards equivalent to the amount of balls between 2 sticks: The first school gets all the balls before the first stick, the second school gets all the balls between stick 1 and stick 2, the third school gets the balls between sticks 2 and 3 and the last school gets all remaining balls.
The problem reduces to take 11 consecutive spots which we will use to localize the balls and the sticks and select 3 places to put the sticks. The amount of ways to do this is 
As a result, we have 165 ways to distribute the blackboards.
If each school needs at least 1 blackboard you can give 1 blackbooard to each of them first and distribute the remaining 4 the same way we did before. This time there will be 4 balls and 3 sticks, so we have to put 3 sticks in 7 spaces (if a school takes what it is between 2 sticks that doesnt have balls between, then that school only gets the first blackboard we assigned to it previously). The amount of ways to localize the sticks is 
. Thus, there are only 35 ways to distribute the blackboards in this case.
Answer:
X > -4
Step-by-step explanation:
Collect the like terms which literally leaves you with -x<4
Then just changes the signs, hence the answer.
Please mark brainliest!
Answer:
3B
Step-by-step explanation:
The greatest common factor is the greatest number that will divide two values. We have two values 3B and 30B. Each has numbers which multiply together to give the number. We need to find the highest value or most in common they share. Each has the factors:
3B: 1,3,B
30B: 1, 3, 5, 6, 10, B
Both have 3 and B has factors. Our GCF is these two factors.
Answer:
The midpoint is at ( 1/2, 3/2)
Step-by-step explanation:
Midpoint
To find the x coordinate of the midpoint
Add the x coordinates of the endpoints and divide by 2
( -4+5)/2 = 1/2
To find the y coordinate of the midpoint
Add the y coordinates of the endpoints and divide by 2
( 4+-1)/2 = 3/2
The midpoint is at ( 1/2, 3/2)
the rate given is 345 ft/min
this means within 1 min distance is - 345 ft
we have to convert this speed to ft/h
1 hour is equivalent to 60 minutes
so if 60 minutes equals 1 hour
1 minute is equal to - 1/60 hr
so the distance within 1 minute is - 345 ft
since 1 min = 1/60 hr
distance within 1/60 hour = 345 ft
therefore distance in 1 hour = 
answer is 20 700 ft/h
