Answer:
There are 685464 ways of selecting the 5-card hand
Step-by-step explanation:
Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.
In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have 
possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.
This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.
Answer: The down payment is 50% of the purchase price
Step-by-step explanation: Sure hope this helps you. And mark me as briniest
Ab+ac=a(b+c) where a is the greatest common factor
find greatest common factor of 10 and 50
10=1,2,5,10
50=1,2,5,10,25,50
greatest common is 10
a=10
10(1)+10(5)=10(1+5)=10(6)=60
Answer: x = 2.4 or 12/5, y = -1.2
Step-by-step explanation:
-2x + y = -6
=> y = 2x - 6
-x + 3y = -6
=> -x + 3(2x - 6) = -6
=> -x + 6x - 18 = -6
=> 5x = 12
=> x = 12/5 or 2.4
-x + 3y = -6
=> - (2.4) + 3y = -6
=> 3y = -6 + 2.4
=> 3y = -3.6
=> y = - 1.2
