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Alla [95]
3 years ago
14

sam has five favorite football teams, and every week, he puts their flags on his flagpole in random order a. in a given week, ho

w many different ways can he arrange the flags? b. if he only has room for three of the flags on his flagpole, how many different ways can they be arranged?
Mathematics
1 answer:
pav-90 [236]3 years ago
3 0
A. This is an example of a situation making use of the concept of Fundamental Principles of Counting. On the first spot, Sam may choose from the five available flags. On the next spot, he can only choose from four flags. This goes on until no more flag is left. For short, there are 5! ways. This is equal to 120.

b. Since only 3 out of the five flags can be used and the arrangement is important, make use of Permutation. The answer is 5P3 = 60. There are 60 ways. 
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lianna [129]
9+3=12
30+20=50
300+100=400
Then add.
12+50+400=462
<span>So 339+123=462</span>
5 0
3 years ago
If the least value of n is 5, which inequality best shows all the possible values of n?
Lostsunrise [7]
N is greater than or equal to 5. (n <u>></u> 5)

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0.18 repeating fraction in the simplest form.
Triss [41]

Answer:

2/11

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Let's say our fraction is x = 0.1818181818...

The trick is to multiply x by 10²=100 in this case, since there are two repeating digits, and then subtract the original x.

So, in fact you are subtracting 0.181818 from 18.181818 which effectively cancels the entire bit after the decimal point.

You get:

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6 0
3 years ago
Harold wrote this equation to model the level of water in a pool over time. The variable x represents time in hours. f(x) = 3,50
lina2011 [118]

Answer:

The water level is falling.

The initial level of water in the pool was 3,500 units

The water was 2,600 units high after 4 hours.

Step-by-step explanation:

The given function that models the water level is

f(x)=3,500-225x

where x represents time in hours.

The function represents a straight line that has slope m=-225

Since the slope is negative, it means the water level is falling.

The initial level of water in the pool can found when we put x=0 into the function.

f(0)=3,500-225(0)


f(0)=3,500, hence the initial level is 3,500.


To determine the level of water in the pool after 14 hours, we put x=14 into the equation to get;

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f(14)=3,500-3150


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To determine the water level after 4 hours we put x=4

f(4)=3,500-225(4)

f(4)=3,500-900

f(14)=2,600


4 0
3 years ago
Read 2 more answers
Solve open parentheses square root of 7 close parentheses to the 6 x power = 49x−6.
LUCKY_DIMON [66]
(sqrt7)^6x = 49x - 6

There is no easy way to solve this . Drawing a graph will give a good approximation.

Draw  y = (sqrt7)66x

and y = 49x - 6     and see where they intersect

Ill draw it on desmos graphing tool and give you the link.
7 0
3 years ago
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