Solve the system of equations -4x-2y=30−4x−2y=30 and -x+y=6−x+y=6 by combining the equations.elimination

Mathematics

1 answer:

oee [108]3 years ago

5 0

Answer:

215.00

Step-by-step explanation:

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Rewrite each expression using each base only once.

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Rewrite each expression using each base only once.

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Simplify each expresion.

5c^4 * c^6
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a^6b^3 * a^2b^-2
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3 years ago

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3 years ago

Suppose you are managing 16 employees, and you need to form three teams to work on different projects. Assume that all employees

valentina_108 [34]

Answer:

4380 ways

Step-by-step explanation:

We have to form 3 project of 16 employees, they tell us that the first project must have 5 employees, therefore we must find the number of combinations to choose 5 of 16 (16C5)

We have nCr = n! / (R! * (N-r)!)

replacing we have:

1st project:

16C5 = 16! / (5! * (16-5)!) = 4368 combinations

Now in the second project we must choose 1 employee, but not 16 but 11 available, therefore it would be to find the number of combinations to choose 1 of 11 (11C1)

2nd project:

11C1 = 11! / (1! * (11-1)!) = 11 combinations

For the third project we must choose 10 employees, but since we only have 10 available, we can only do a combination of this, since 10C10 = 1, therefore:

3rd project: 1 combination

The total number of combinations fro selecting 16 employees for each project would be:

4368 + 11 + 1 = 4380 combinations, that is, there are 4380 different ways of forming projects with the given conditions.

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3 years ago