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svet-max [94.6K]
3 years ago
12

Five children have to form a queue. In how many different ways can they be arranged?

Mathematics
1 answer:
Paladinen [302]3 years ago
8 0

Answer:

120 different ways

The total number of ways to do this is the product because of the fundamental counting principle[1]. So 5x4x3x2x1 = 5! (read as “5 factorial”[2]) = 120 different ways to line up those 5 people. Five people lining up essentially means 5 people sorting into 5 positions.

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Find the value of x.
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Step-by-step explanation: 5x = 180

X= 180/5

36

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What is the definition of absolute value
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in her kayak bunny can travel 70 miles downstream with the current in 5 hours. the return trip against the current takes 7 hours
Alinara [238K]

9514 1404 393

Answer:

  • kayak: 12 mph
  • current: 2 mph

Step-by-step explanation:

Bunny's rate downstream is ...

  (70 mi)/(5 h) = 14 mi/h = k + c

Bunny's rate upstream is ...

  (70 mi)/(7 h) = 10 mi/h = k -c

The kayak speed is the average of these:

  (14 mi/h +10 mi/h)/2 = ((k +c) +(k -c))/2

  (24 mi/h)/2 = 2k/2

  12 mi/h = k

Then the current speed is ...

  c = k -10 = 12 -10 = 2 . . . . mi/h

The still-water speed of the kayak is 12 mi/h; the speed of the current is 2 mi/h.

_____

<em>Additional comment</em>

World-class kayak paddlers will not maintain a speed more than 8 mi/h for that distance and/or time (140 miles in 12 hours). Bunny is exceptional.

4 0
3 years ago
)If 18th February, 2030 falls on Monday then what will be the day on 18th February, 2040
MariettaO [177]

The Saturday will be the day on 18th February 2040 if  18th February 2030 falls on Monday

<h3>What is an arithmetic operation?</h3>

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

18th February 2030 falls on Monday

To find what will be the day on 18th February 2040

Calculate the expression:

= Given date + Month code + (difference between years) + Numbe of leap year

Leap year = difference between years/4

= (2040-2030)/4

= 10/4 = 2.5 ≈2

= 18 + 3 + (2040-2030) + 2

= 33

Divide 33 by 7 the remainder will be 5

Day code = given day code + remainder

= 1 + 5

= 6 (saturday from the table attahced)

Thus, Saturday will be the day on 18th February 2040 if  18th February 2030 falls on Monday.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ1

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