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Romashka-Z-Leto [24]
3 years ago
8

How many ways can 6 people sit on a bench if 3 of them have to sit side by side

Mathematics
1 answer:
pickupchik [31]3 years ago
4 0

Answer:

144 ways

Step-by-step explanation:

Let's think of the 3 persons sitting together as "one". So essentially we have 3 + "1" = "4" persons to arrange.

THey can be arranged in 4! ways, which is:

4! = 4 * 3 * 2 * 1 = 24 ways

Now, the 3 persons themselves can be arranged in 3! ways, which is:

3! = 3 * 2 * 1 = 6 ways

Total ways = 4! * 3! = 24 * 6 = 144 ways

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Find the value of y.<br> Iog 2 32 =y<br> Ο<br> Ο<br> OC. 6<br> Ο<br> D.<br> 7
Delicious77 [7]

Answer:

B 5

Step-by-step explanation:

log 2(32)

Replace 32 with 2^5

log2 (2^5)

We know that log a^b = bloga

5 log2(2)

We know that loga(a) =1

5*1

5

6 0
3 years ago
What is the equation of the graph below?
Tpy6a [65]
The first one i hoped this helps
4 0
3 years ago
Please help me quick!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Tju [1.3M]

Answer:

12,9,8

Step-by-step explanation:

4 0
3 years ago
8. The sum of two numbers is 8 less than twice the first number. Their difference is 4 less than twice
Delicious77 [7]

Answer:

14 and 6

Step-by-step explanation:

Let's start by naming the first number x.

We can name the second number y.

We can set up equations to model our situation.

x+y=2x-8

x-y=2y-4

Let's simplify the equations.

x+y=2x-8

Subtract 2x from both sides

-x+y=-8

__________

x-y=2y-4

Subtract 2y from both sides.

x-3y=-4

Add the two equations together to eliminate x.

x-3y=-4

-x+y=-8

________

0x-2y=-12

-2y=-12

Divide both sides by -2.

y=6

The second number is 6.

Plug that back in.

x+6=2x-8

Subtract x from both sides

6=x-8

Add 8 to both sides

x=14

The first number is 14

7 0
3 years ago
Use the grid to create a model to solve the percent problem.
Delicious77 [7]
For this case we can make the following rule of three:
 21 ------> 70%
 x --------> 100%
 Clearing x we have:
 x = (100/70) * (21)
 Rewriting we have:
 x = (10/7) * (21)
 x = 30
 Thus,
 21 is 70% of 30
 Answer:
 
21 is 70% of 30
6 0
4 years ago
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