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Hitman42 [59]
3 years ago
9

Three research departments have 8,6,7 members, respectively. Each department is to select a delegate and an alternate to represe

nt the department at a conference. In how many ways can this be done
Mathematics
1 answer:
Tomtit [17]3 years ago
3 0

Answer:

70,560 ways

Step-by-step explanation:

This problem is an arrangement problem, as the order of the two people chose in each department matters.

So, for each department, we have an arrangement:

First department: arrange of 8 choose 2: A(8,2) = 8!/2! = 8*7 = 56

Second department: arrange of 6 choose 2: A(6,2) = 6!/2! = 6*5 = 30

Third department: arrange of 7 choose 2: A(7,2) = 7!/2! = 7*6 = 42

The total number of ways is the product of each number of arranges, so:

Number of ways = 56 * 30 * 42 = 70,560

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PLEASE HELP LOOK AT THE PIC BELOW
asambeis [7]

Answer:

The simplest answer is

\frac{16}{21}

The reason how I got that is because to divide fractions, you have to turn them improper. Once you've done that, you then can multiply it by using the reciprocal of the second fraction. Once they are rearranged, multiply all the numerators by each other. do the same with the denominators and form a new fraction.

5 0
2 years ago
Read 2 more answers
If (x + 2) is a factor of x3 − 6x2 + kx + 10, k =
mafiozo [28]
Hello:
let : f(x) = <span>x3 − 6x2 + kx + 10
</span><span>If (x + 2) is a factor of x3 − 6x2 + kx + 10  : f(-2) = 0
(-2)^3-6(-2)² +k(-2)+10=0
-8 -24-2k +10 = 0
-2k =8+24-10
-2k = 22
k = -11</span>
7 0
3 years ago
Solve the equation 3/2(2-6x)+1=3-5x
tigry1 [53]

Answer:

Here's a tip:

Step-by-step explanation:

Use the acronym PEMDAS to solve.

P arenthesis

E xpoments

M ultiplication

D ivsion

A ddition (Left to right)

S ubtraction (Left to right)

8 0
2 years ago
Please help. i need to pass.
FrozenT [24]
Plug 8 for y

8 = 2x + 4

Subtract 4

4 = 2x

Divide by 2

x = 2

Plug 16 for y

16 = 2x + 4

Subtract by 4

12 = 2x

Divide by 2

x = 6

Substitute 20 for y

20 = 2x + 4

16 = 2x

x = 8

Substitute 22 for y

22 = 2x + 4

18 = 2x

9 = x

So the values are 2, 6, 8, 9
5 0
3 years ago
Plz help me with this
hichkok12 [17]

Answer:

8

Step-by-step explanation:

0.3{10} + 10 / 2

3 + 10/2

3 + 5

8

8 0
3 years ago
Read 2 more answers
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