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grin007 [14]
3 years ago
8

Aidan has 6 (different) bulls and 10 (different) horses living at his animal sanctuary. He needs to place them in a line of 16 p

addocks, and the bulls cannot be placed in adjacent paddocks (otherwise they will try to fight one another). How many ways can Aiden place the bulls and horses in the paddocks so that no two bulls are paddocks? [Hint: first arrange the horses, then consider possible places for the bulls.] in adjacent
Mathematics
1 answer:
suter [353]3 years ago
7 0

Answer: 5225472000

Step-by-step explanation:

Given : The number of bulls = 6

The number of horses = 10

Since Aidan needs to place them in a line of 16 paddocks, and the bulls cannot be placed in adjacent paddocks .

Also there are two ways to arrange the group pf bulls and horses.

Then , the number of ways Aiden can place the bulls and horses in the paddocks so that no two bulls are paddocks will be :_

2\times6!\times10!=5225472000

Hence, the number of ways Aiden can place the bulls and horses in the paddocks so that no two bulls are paddocks =5225472000

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the height of the plant h , in inches , can be modeled by the function = 1.5t + 3 where t represent the time in weeks . Based on
Rasek [7]

Answer:

21 inches

Step-by-step explanation:

f(x)=1.5x+3

f(12)=21

7 0
2 years ago
Read 2 more answers
The vet instructed Manuel to give his
Dennis_Churaev [7]

He should give 6 milligrams of medicine to dog.

Step-by-step explanation:

Given,

Quantity of medicine instructed by Vet = .5 mm per 1 kg

Weight of dog = 12 kg

Quantity of medicine = Weight of dog * Quantity per kilogram

Quantity of medicine = 12*0.5

Quantity of medicine = 6 milligrams

He should give 6 milligrams of medicine to dog.

Keywords: multiplication

Learn more about multiplication at:

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4 0
3 years ago
What is the length of the TV if it is 45.25 inches wide and 24.5 inches tall ?
Vsevolod [243]

You are asking for length,

There is area, width, and length.

There is no area/square feet or any hints of area.

We already have wide for width

So that makes the 24.5 inches tall the length

the answer is 24.5 inches

5 0
3 years ago
Which integer is 55√ closest to?
mojhsa [17]
It’s 7 because you round it
5 0
3 years ago
PLEASEEE HELP MEEEE<br><br>NO LINKSSS
Artemon [7]

Answer:

\huge\boxed{(2,\ 3);\ (-1,\ 6)}

Step-by-step explanation:

f(x)=x^2-2x+3\to y=x^2-2x+3\\f(x)=-x+5\to y=-x+5\\\\\left\{\begin{array}{ccc}y=x^2-2x+3&(1)\\y=-x+5&(2)\end{array}\right

substitute (1) to (2):

x^2-2x+3=-x+5     add x to both sides

x^2-2x+x+3=-x+x+5

x^2-x+3=5        subtract 5 from both sides

x^2-x+3-5=5-5

x^2-x-2=0\\\\x^2+x-2x-2=0\\\\x(x+1)-2(x+1)=0\\\\(x+1)(x-2)=0\iff x+1=0\ \vee\ x-2=0\\\\\boxed{x=-1\ \vee\ x=2}

substitute the values of x to (2):

x=-1\\\\y=-(-1)+5=1+5=6\\\\\huge\boxed{(-1,\ 6)}\\\\x=2\\\\y=-2+5=3\\\\\huge\boxed{(2,\ 3)}

3 0
3 years ago
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