1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
EleoNora [17]
3 years ago
14

If 8 identical blackboards are to be divided among 4 schools,how many divisions are possible? How many, if each school mustrecei

ve at least 1 blackboard?
Response:

if8 boards are to be distributed then the number of ways can be8C4=70
and if every school must get atlest one board then it is possiblein 70-14 ways = 56 ways..
let abcd be the schools

a b c d
0 0 0 8 4C1= 4 (three schools dont get even1 board)
0 0 1 7 4C2= 6 (two schools dont get even 1board)
0 1 1 6 4C3 =4
hence 6+4+4=14.
Mathematics
1 answer:
MAXImum [283]3 years ago
4 0

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 {11 \choose 3} = 165 . 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 {7 \choose 3} = 35. Thus, there are only 35 ways to distribute the blackboards in this case.

You might be interested in
An angle measures 14° more than the measure of its supplementary angle. What is the measure of each angle?
luda_lava [24]

Answer:83 and 97

Step-by-step explanation:

Let the angle be y

The second angle will be y+14

A supplementary angle equals 180°

y + y + 14=180

2y+14=180

2y=180-14

2y=166

y=166/2

y=83

The first angle is 83.

Second angle will be 83+14=97.

8 0
3 years ago
Read 2 more answers
Kylie has lemon and watermelon in a ratio of 10:71. How many watermelon does she have if she has 20 lemons
kkurt [141]

Answer:

She will have 142 watermelons

Step-by-step explanation:

First let's put our ratio

10 : 71

Since our lemons are now 20 instead of 10 we will divide 20 by 10 to see how many time we multiplied it by.

20 \div 10

which equals 2

To find our water melon we will multiply it by 2

71 \times 2

which equals 142

She will have 142 watermelons

7 0
3 years ago
Help please:((( p.s the last word is bill
zalisa [80]
Each egg is a 1$.49 so add 2 which will be $3.48 then add $1.49 gfor the bacon which will be 5.33 then 1.09 which will be $6.42 then add tax so 6.90 is her total and subtract 10$ from 6.90 she got 3.10 in change
8 0
3 years ago
Read 2 more answers
Can someone help me with this quickly please.​
ELEN [110]

Answer:

See explaination

Step-by-step explanation:

Probability is the number of desired outcomes over the total outcomes.

1) You want to find Oranges, so that is your desired outcome:

There are 4 oranges in the bowl.

Now sum up all the fruits to get the total:

9+4+7+3+6 = 29

Therefore you have 4/29

2) Same idea, count the peaches and put it over total:

3/29

3) This time, you still want to use the same idea, but its just your desired outcomes that have increased. So instead of just having one fruit, now you want to add the total of 2 fruits as your desired outcome.

(9+4)/29

= 13/29

4) To find the probability of a fruit other than a plum, you can use complementary counting. Since the maximum probability is one, we can find what we dont want, and the outcome of that subtracted from one must be the results that we want.

So a plum is 6/29

1-6/29 = 23/29

5) Same idea as what is used in problems 3 and 4, just a combination of the 2.

(4+3)/29

1-7/29

= 22/29

8 0
3 years ago
Solve this please…..
Paraphin [41]

Answer:

17,12,15,14,12 answer 90

6 0
2 years ago
Other questions:
  • Complete each blank to find an expression that is equal to 16%.
    10·2 answers
  • I don’t quite understand this
    5·1 answer
  • Solve the system of linear equations by elimination. x−2y=−7 3x+2y=3. solution: (_,_)
    11·1 answer
  • Find the value of |-8| + 4(-5 + 9) ÷ 2.<br><br> 16<br> 12<br> 24<br> 0
    5·2 answers
  • What is 56 minus 11 ????
    12·1 answer
  • 1.Which property justifies the statement if y=7 then 7=y?
    9·1 answer
  • My dumb brain can’t think anymore helppp
    14·1 answer
  • In a survey of 480 students, 253 indicated that play the piano, 268 indicated that they play the harp and 73 indicated they play
    10·1 answer
  • What is the height of spanning tree obtained from Wn by the breadth-first search, starting at the central vertex of Wn?
    12·1 answer
  • Question Choice Worth 2 points)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!