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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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sineoko [7]

Answer:

The width of the actual pool is 12 meters

Step-by-step explanation:

You can put Kiara's scale into a ratio or fraction to help visualize it better: 13/6. Now, let's put what we do know for the other ratio into a fraction. we know that the pool is 26 centimeters wide, and since the 26 matches with the 13, that goes in the numerater. since we don't know the denominator, we can just put 26/x (you can use whatever letter you like but I'll use x here)

So in order to get 13/6 to 26/x, we need to find how to figure out what we are doing to the original fraction. Since 13 x 2= 26, it looks like we are multiplying the ratios by 2. Now that we know that, we can multiply the denominator (6) by 2 to equal 12, our answer.

Hope this helps :)    

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2 years ago
Evaluate each expression if x= 6. 8+x
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Step-by-step explanation:

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2 years ago
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Step-by-step explanation:

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5 0
2 years ago
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Solve for x in the diagram below.
xz_007 [3.2K]

Answer: 5x + (x + 54) = 6x + 54

So now 6x + 54 = 90 because u are solving a right angle.

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Step-by-step explanation:

8 0
3 years ago
A grocer buys food from three suppliers. The suppliers deliver every 5 days, 6 days, and 7 days. All three came today. In how ma
AlekseyPX

Answer:

210

Step-by-step explanation:

For getting this answer we need to find the minimum common multiplier, this is, the smaller number that is multiple of all 5, 6 and 7.

For example, 30 is multiple of both 5 and 6, son in 30 days two suppliers will come, but not the third, as 30 is not a multiple of 7.

Let's try with the next multiple of 5 and 6, this is 60, but is not a multiple of 7.

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2 years ago
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