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Vanyuwa [196]
3 years ago
15

-17 -5(X+3) = 3x solve

Mathematics
1 answer:
Gelneren [198K]3 years ago
3 0
-17 -5 (x + 3) = 3x   Use the Distributive Property
  -17 -5x - 15 = 3x   Combine like terms (-17 and -15)
       -32 - 5x = 3x   Add 32 to both sides
              -5x = 3x + 32   Subtract 3x from both sides
              -8x = 32   Divide both sides by -8
                 x = -4
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Step-by-step explanation:

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3 years ago
If 8 identical blackboards are to be divided among 4 schools,how many divisions are possible? How many, if each school mustrecei
MAXImum [283]

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.

4 0
3 years ago
What is 3/4 of a number minus -16 equals 28. what is the number
dalvyx [7]
3/4x - 16 = 28
         +16   +16
3/4x = 44
*3/4    *3/4
x = 176/3
7 0
2 years ago
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