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crimeas [40]
2 years ago
10

Eight beads are strung in a necklace with a clasp, how many ways can the beads be arranged?

Mathematics
1 answer:
Elena L [17]2 years ago
7 0

Answer:

Number of total arrangement of beads = 2,520

Step-by-step explanation:

Given:

Number of beads in necklace = 8 beads

Find:

Number of total arrangement of beads

Computation:

Changing beads is a cyclic permutation,

So,

Formula to find number of total arrangement in cyclic permutation

(n-1)!/2 , where n = number of item

So,

(n-1)!/2

Number of total arrangement of beads = (8-1)!/2

Number of total arrangement of beads = (7)!/2

Number of total arrangement of beads = (7 x 6 x 5 x 4 x 3 x 2 x 1) / 2

Number of total arrangement of beads = 5,040 / 2

Number of total arrangement of beads = 2,520

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If kenny earns 142% of Benny's Salary, how mucho more does Kenny earn than Benny
Sergeeva-Olga [200]

Let  Benny's salary = $ K

But kenny earns 142% of Benny's Salary

So, Kenny's salary = 142%of K

Kenny's salary =K  \times \frac{142}{100}

Kenny's salary = 1.42K

Kenny's income exceeds Benny's by =1.42K - K =$0.42 K

% by which Kenny's salary exceeds by Benny's =\frac{0.42 \text K}{\text K} \times 100

% by which Kenny's salary exceeds by Benny's = 42%


8 0
3 years ago
What is the answer to this question?
Nady [450]

The equation for the area of a triangle is ½bh or base time height decided by two. So you plug those numbers in: ½18 x 11 = ½198 = 99. The area of the triangle is 99cm².

I hoped this helped

5 0
2 years ago
F(0) = -5, f(4) = -3
Karolina [17]

Answer:

y = \frac{1}{2} x - 5

Step-by-step explanation:

Given f(0) = - 5 and f(4) = - 3 , then we have the coordinate points

(0, - 5) and (4, - 3)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, - 5) and (x₂, y₂ ) = (4, - 3)

m = \frac{-3+5}{4-0} = \frac{2}{4} = \frac{1}{2}

The line crosses the y- axis at (0, - 5) ⇒ c = - 5

y = f(x) = \frac{1}{2} x - 5 ← equation of line

4 0
2 years ago
UOW and UOV as well would be nice but not required.
Allushta [10]

Answer:

No-------Uow and Uov are------Tpu and Uov arent

Step-by-step explanation:

adjacent=having a common vertex and a common side.

they don't have the vertex in common

Hope this helps!

5 0
2 years ago
Find the unit rate. $7.96 for 4 pounds
Licemer1 [7]

Answer:

$1.99 per lb

Step-by-step explanation:

Take the dollar amount and divide by the number of pounds

$7.96 / 4 lbs

$1.99 per lb

7 0
3 years ago
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