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:
y=-2x+2
Step-by-step explanation:
the slope intercept form is y=mx+b
slope - to find the slope from 2 point you do (y2-y1)/(x2-x1) so it would be
(14-2)/(-6-0). which out simplify to -2.
y-intercept - the y-intercept is given in one of the points (0,2).
Answer:
The area of the baseboard is 
Step-by-step explanation:
We have,
Length of the bed, l = 15 m
Width of the bed, b = 9/10 m
It is required to find the area of the baseboard. It is a shape of rectangle. The area of a rectangular shape is given by :
So, the area of the baseboard is
Answer:C=93
Step-by-step explanation:
i hope im right
Answer:
m = 2500b
Step-by-step explanation:
As instructed,
let b = number of boxes sold
let m = total money made.
The total money made, is a function of the number of boxes sold.
Let me break this down:
There are 100 pencils in a box;
if they sold only one box, they will get 100 X $25 = $2500;
if they sold two boxes, they will get 200 X $25 = $5000;
if they sold three boxes, they will get 300 X $25 = $7500;
Following the trend, we can deduce that money made, m = (number of boxes sold X 100 ) X $25
representing this using the variables we were given, we have
m = 100b X 25
hence
m = 2500b
