There are
ways of drawing a 4-card hand, where

is the so-called binomial coefficient.
There are 13 different card values, of which we want the hand to represent 4 values, so there are
ways of meeting this requirement.
For each card value, there are 4 choices of suit, of which we only pick 1, so there are
ways of picking a card of any given value. We draw 4 cards from the deck, so there are
possible hands in which each card has a different value.
Then there are
total hands in which all 4 cards have distinct values, and the probability of drawing such a hand is

7m+2=7n−5
Swap sides so that all variable terms are on the left hand side.
7n−5=7m+2
Add 5 to both sides.
7n=7m+2+5
Add 2 and 5 to get 7.
7n=7m+7
Divide both sides by 7.
7
7n
=
7
7m+7
Dividing by 7 undoes the multiplication by 7.
n=
7
7m+7
Divide 7+7m by 7.
n=m+1
Answer:
D
Step-by-step explanation:
The radius r is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 5, - 12)
r = 
= 
= 
= 
= 13 → D
Answer:
2.1 gaallons of honey
Step-by-step explanation:
If you have to istrubute things then its obvous you need to divide something. To get 19 equally into 9 containers you divide 19 by 9 an get 2.1
I hope this helped