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guajiro [1.7K]
4 years ago
9

. How many ways are there to split a dozen people into 3 teams, where one team has 2 people, and the other two teams have 5 peop

le each?
Mathematics
1 answer:
MatroZZZ [7]4 years ago
4 0

Answer:

1/2!(12, 2)(10, 5)

Step-by-step explanation:

Let's pick 2 persons for team one. We can do that in (12, 2) ways. Then, let's pick five of the remaining people for team two. We can do that im (10, 5) ways. Five remaining people form team three., because the order of teams foes not matter divide the team by 2! (we have 2 teams with five people). Thus the final answer is 1/2!(12, 2)(10, 5)

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An airplane flew with the wind for 2.5 hours and returned the same distance against the wind in 3.5 hours. If the cruising speed
KengaRu [80]

Answer:

60 miles per hour.

Step-by-step explanation:

Let r represent speed of wind blowing in miles per hour.          

We have been given that the cruising speed of the plane was a constant 360 mph in air. The speed of the plane is the direction of wind would be 360+r.

The speed of the plane is the opposite direction of wind would be 360-r.

\text{Distance}=\text{Speed}\times \text{Time}

Distance covered in the direction of wind would be 2.5(360+r).

Distance covered in the opposite direction of wind would be 3.5(360-r).

Since both distances are same, so we will get:

2.5(360+r)=3.5(360-r)

900+2.5r=1260-3.5r

900-900+2.5r+3.5r=1260-900-3.5r+3.5r

6r=360

\frac{6r}{6}=\frac{360}{6}

r=60

Therefore, the wind is blowing at a rate of 60 miles per hour.

6 0
3 years ago
Writing to Explain Suppose you have a 100-mL cup, you can a 500-mL cup. List two different ways
Misha Larkins [42]
5 100ml cups and 1 500 ml cup


and 2 500 ml cups
4 0
3 years ago
A grocery store offers a cheese sampler that includes a pepper cheddar cheese that costs $15 per kilogram and Pennsylvania Jack
lawyer [7]

Answer: The quantity of pepper cheddar cheese required = 2.5 kilograms

The quantity of Pennsylvania Jack required = 4.5 kilograms

Step-by-step explanation:

Let x = Quantity of pepper cheddar cheese

y=  Quantity of Pennsylvania Jack

As per given , we have the following system of equations:

x+y=7----------(1)\\\\ 15x+8y= 7\times10.50\\\\ 15x+8y=73.5------------(2)

Multiply 8 to equation(1) , we get

8x+8y=56---------(3)

Eliminate (3) from (2) , we get

7x=17.5\\\\ x=\dfrac{17.5}{7}=2.5

Put value of x in (1) , we get

2.5+y=7\\\\ y=7-2.5=4.5

Hence, the quantity of pepper cheddar cheese required = 2.5 kilograms

The quantity of Pennsylvania Jack required = 4.5 kilograms

3 0
3 years ago
The sum of 3 consecutive odd numbers is 183
zheka24 [161]
59+61+63 is a possibility
7 0
3 years ago
Is anyone able to help :/ please please please
lora16 [44]

Answer:

16

Step-by-step explanation:

1/2 x (1/2)^-5

=1/2x32

=16

6 0
3 years ago
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