Answer:
1430
Step-by-step explanation:
Given that a standard deck of cards is 52 cards, we have 13 Diamonds and we need 4 diamonds.
Hence, we have 13C4.
Also, we have 4 kings in a standard deck of cards, and in which we have 2 black kings but we need 1 king.
Hence we have a 2C1
Therefore:
13C4 * 2C1
=> 13! ÷ [4! (13 - 4)!] * 2! ÷ [1! (2-1)!]
=> 13! ÷ [4! (9)!]
=> (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 x 13) ÷ [(1 x 2 x 3 x 4) (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9)]
=> (10 x 11 x 12 x 13) ÷ 24
=> (17160 ÷ 24) * (24 ÷ 6)
=> 715
2! ÷ [1! (2-1)!]
=> 2
Hence, we have 715 * 2
=> 1430
Hence, in this case, the correct answer to the question is 1430
Answer:
x=11/5
Step-by-step explanation:
isolate x
22/10 = 10x/10
22/10 = x
simplify
11/5 = x
Answer:
36
Step-by-step explanation:
Angles in a triangle sum to 180 degrees.
The angle in the bottom left will equal 180 - (3x + 6) as angles along a staight line also sum to 180 degrees.
180 - ( 3x + 6)
180 - 3x - 6 [expand bracket]
174 - 3x
Now we can add up all the angles and equate them to 180 to solve for x.
24 + 2x + 18 + 174 - 3x = 180
216 - x = 180
216 = 180 + x
x = 36
Answer:
3b
Step-by-step explanation:
2x + 4 = b
3(2x+4) = 3b
6x + 12 = 3b
Juliet’s father Lord Capulet said that he would disown her, kick her out of his house and let her die in the streets.