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9966 [12]
3 years ago
9

2. You are making necklaces for your friends. You have 72 blue beads and 42 red beads. Each friend will receive an identical nec

klace, and all beads must be used
Mathematics
1 answer:
hoa [83]3 years ago
4 0
To find out the number of necklaces that can be made from 72 and 42 beads, think of the Greatest Common Factor of both numbers

Factors of 72
1 × 72
2 × 36 
3 × 24
4 × 18
6 × 12
8 × 9

Factors of 42
1 × 42
2 × 21 
3 × 14
6 × 7

The Greatest Common Factor is 6, so there are 6 necklaces can be made with equal number of beads
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What is the answer to this ? 2 1/3 X 5 2/5
aleksandr82 [10.1K]

Answer:

12.6

Step-by-step explanation:

2 1/3 × 5 2/5

2 1/3= 7/3

5 2/5= 27/5

7/3×27/5= 12.6

6 0
3 years ago
Solve |3k-2|=2|k+12|
Stella [2.4K]

Answer:

k = 26   or   k = -\dfrac{22}{5}

Step-by-step explanation:

|3k - 2| = 2|k + 12|

\dfrac{|3k - 2|}{|k + 12|} = 2

|\dfrac{3k - 2}{k + 12}| = 2

3k - 2 = 2(k + 12)   or   3k - 2 = -2(k + 12)

3k - 2 = 2k + 24   or   3k - 2 = -2k - 24

k = 26   or   5k = -22

k = 26   or   k = -\dfrac{22}{5}

7 0
3 years ago
A poker hand is a set of 5 cards randomly chosen from a deck of 52 cards. Find the probability of a (a) royal flush (ten, jack,
zysi [14]

Answer:

a) 0.000001539

b) 0.00001385

c) 0.0002401

d) 0.001441

e) 0.001966

Step-by-step explanation:

Since there are 52 deck of cards, and the hand of the poker is 5 set, then the total number of hands achievable would be

T = 52! / 5!(52 - 5)!

T = 52! / 5! 47 !

T = 2598560 possibilities.

a) There are 4 ways of getting a royal flush. So the probability of getting a royal flush is

4 / 2598560 =

0.000001539

b) There are 9 hands from the 5 card hands, and also, there are 4 possible suits. So then, the probability is

9 * 4 / 2598560 =

36 / 2598560 =

0.00001385

c) There are 13 possible ways to get a four of a kind, since there are 5 cards with the poker, the remaining would be taken from the 48 remaining cards, thus

13 * 48 / 2598560 =

624 / 2598560 =

0.0002401

d) 3 of a kind in conjunction with a pair is needed to form a full house. This 3 of a kind can be gotten from any 4 suits. Then again, the pair has two cards with the same face value. So,

4! / 2! (4 - 2)! =

4! / 2! 2! = 6

That means, there are 6 possible ways to get our needed suits. Then, the probability of getting a full house is

13 * 4 * 12 * 6 / 2598560 =

3744 / 2598560 =

0.001441

e) To get a flush, all the 5 cards in the hand needs to have the same suit. Now, there are 13 different types of cards with only 5 cards being in the hand, thus

13! / 5! (13 - 5)! =

13! / 5! 8! = 1287

Now, recall that the question specifically asked us not to include any straight. There are 10 straights that can be gotten, and thus, we subtract it.

1287 - 10 = 1277

Since there are 4 suits, the probability of getting a flush is

1277 * 4 / 2598560 =

5108 / 2598560 = 0.001966

5 0
3 years ago
Ashley paid $14.46 for a pack of 10 pairs of sport socks. What was the price of a pair of sport socks?
Burka [1]
144.6
$14.46x10=
144.6
6 0
3 years ago
The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.
Setler [38]
D) is the answer i already done that question
3 0
3 years ago
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