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:
75.6 ounces
Step-by-step explanation:
Step one.
Given data
we are told that the original quantity of food is 63 ounces
and the increase is in food is by 20%
Step two:
let us find the increase in ounces
=20/100*63
=0.2*63
=12.6 ounces
Hence the amount of food in the bag now is
=12.6+63
=75.6 ounces
Answer:
a) 5:3
b) 7.5:5.3
Step-by-step explanation:
150min : 90min (1 and a half hour)
10 : 6
5 : 3
150 × 10 mm : 1060 mm
1500 : 1060
750 : 530
7.5 : 5.3
Answer:
-4
Step-by-step explanation:
plug in -2
-(-2)^2 = -4