1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Question 2 of 10
Anettt [7]

Hello, it seems your questions didn't upload correctly. Are you able to resend it?

3 0
2 years ago
Which of the following expressions is NOT equivalent to (x − 6)(x − 3)?
kodGreya [7K]

Answer:

B. x(x) + (−6)(−3)

NOT equivalent  to (x − 6)(x − 3)

Step-by-step explanation:

(x − 6)(x − 3)

= x^2 - 3x - 6x + 18

= x^2 - 9x + 18

A. (6 − x)(3 − x)

= 18 - 6x - 3x + x^2

= 18 - 9x + x^2

= x^2  - 9x + 18  ---->equivalent  to (x − 6)(x − 3)

B. x(x) + (−6)(−3)  = x^2 + 18   ----> NOT equivalent  to (x − 6)(x − 3)

C. x2 − 3x − 6x + 18   = x^2 - 9x + 18  --> equivalent  to (x − 6)(x − 3)

D. x(x − 6) − 3(x − 6)

= x^2 - 6x - 3x + 18

= x^2  - 9x + 18  ---->equivalent  to (x − 6)(x − 3)

4 0
2 years ago
a diver dives from a 10m springboard. the equation f(t)=-4.9t^(2)+4t+10 models her height above the pool in seconds. what is her
Juliette [100K]

Answer:

4.975 meters

Step-by-step explanation:

f(1.5)= -4.9(1.5)^2+4(1.5) + 10\\\\f(1.5) = -4.9(2.25) + 6 + 10\\\\f(1.5) = -11.025 + 6 + 10\\\\f(1.5) = -11.025 + 16 \\\\f(1.5) = 4.975

4.975 meters

-Chetan K

8 0
2 years ago
PLEASE HELP ME! Last question, and I'm stuck!
svetoff [14.1K]
The expression should be (2/h)x(k+8).
5 0
3 years ago
Draw a rectangular fraction model to explain your thinking. Then, write a multiplication sentence. A. 2 3 of = 3 5
myrzilka [38]

Answer:

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}

Step-by-step explanation:

Given

\frac{2}{3}\ of\ \frac{3}{5}

Solving (a): Multiplication sentence

\frac{2}{3}\ of\ \frac{3}{5}

Rewrite of as *

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{3}\ *\ \frac{3}{5}

Solve

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}

Hence, the multiplication sentence is:

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}

Solving (b): Rectangular fraction model

In (a) above, the result is 2/5

The fraction model will be represented as thus:

  • Draw a rectangle
  • Partition in to 5 equal parts (5 represents the denominator)
  • Shade 2 of the 5 partitions (2 represents the numerator)

<em>See attachment for model</em>

5 0
3 years ago
Other questions:
  • A square pyramid with a = 20 mm and b = 96 mm is shown. What is the length of side c? *Hint: you must divide the "b" by two to f
    13·2 answers
  • A college student takes out a $7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student
    11·1 answer
  • What do a rectangle and a rhombus have in common? Select all that apply. The opposite sides are parallel. They have four right a
    15·1 answer
  • Describe 7 tens and 9 ones in another way.
    7·1 answer
  • Carl is boarding a plane.
    14·1 answer
  • How many dessert combinations does Megan have? Just write the number in the space below
    15·1 answer
  • Solve. What is the 15% of 15?
    12·2 answers
  • I need help on these 3 questions please! ​
    9·1 answer
  • Select all the equations where r 3 is a solution.​
    10·2 answers
  • Find the perimeter of each figure select the figure that have a perimeter of 20 units
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!