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ahrayia [7]
3 years ago
15

Posted this time 22 points please help ASAp

Mathematics
1 answer:
TEA [102]3 years ago
6 0

Answer:

If the positions are distinct, as in executive offices, then P(9,5)

P(9,5) = 9!/(9 - 5)! = 15120..... is the answer

But...

If the positions are equivalent, such as seats in a legislative body, then C(9,5)

C(9,5) = 9!/[(9 - 5)!(5!)] = 126

Hope this can help you :)

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Which of the following is NOT a solution to the system of inequalities?
timofeeve [1]

Answer:

(+,0)

Step-by-step explanation:

because the graph of the inequality

4 0
2 years ago
Prove that the sum of three successive even integers is always a multiple of 6.​
zlopas [31]

Answer:

if you see three consecutive numbers you can figure out that at least one of them is divisible by 6

Step-by-step explanation:

you can use mathematical induction by proving it mathematically. for a number to be divisible by 6, it should be divisible by 2. Since all are even numbers the number will be divisible by 2.

5 0
2 years ago
Describe the number of solutions for each system of equations graphed<br> below
abruzzese [7]
The solution of the system of equations means that following:
1- In case we are dealing with system of equations, the solution would be the point of intersection of the two graphs
2- In case we're dealing with only one equation, the solution would be the points of intersection of the graph with the x-axis

Graph (a):
The graph is for a system of equations (two lines). Therefore, the solution would be the point of intersection of the two lines.
From the graph, we can note that there is only one point of intersection between the two lines (-3,-1). Therefore, the system of equations has only one solution

Graph (b):
The graph is for a system of equations (two lines). Therefore, the solution would be the point of intersection of the two lines.
From the graph, we can note that the two lines are parallel. This means that they will never intersect. Therefore, the system of equations has no solutions

Graph (c):
The graph is for a single line. Therefore, the solution(s) would be the point(s) that make the overall equation equal to zero, i.e. point(s) of intersection with the x-axis.
From the graph, we can note that the line intersects with the x-axis only once at point (2,0). This means that the line has only one solution.

Hope this helps :)

5 0
3 years ago
Jennifer made 5 Liters of punch for her party. Her brother made another 750 milliliters if they combine the two batches how many
tia_tia [17]

Answer:

Step-by-step explanation:

The total amount of punch that Jennifer made for her party is 5 Liters. Her brother made another 750 milliliters.

1000 milliliters = 1 liter

750 milliliters = 750/1000 = 0.75Liter

if they combine the two batches, the total amount made would be

5 + 0.75 = 5.75Liter

= 5.75 × 1000 = 5750 milliliters

The number of 180 milliliters servings would be

5750/180 = 31 servings

There would be leftovers of 170 milliliters

7 0
3 years ago
Gracelyn has multiple sticks of different lengths to build a triangle for a class project. Which 3 lengths could Gracelyn choose
romanna [79]
Hello

11 cm, 25 cm, 15 cm
if you add the lengths of two sides of the triangle, it must be greater than the length of the third side

therefore, the only possible lengths are 11 cm, 25 cm, 15 cm

Have a nice day
8 0
3 years ago
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