Answer:
x < 3
Step-by-step explanation:
−4x − 8 > −20
Add 8 to both sides.
-4x > -12
Divide both sides by -4. Remember that when you multiply or divide both sides of an inequality by a negative number, the direction of the inequality sign changes.
-4x/(-4) < -12/(-4)
x < 3
Answer:
the game must be played in groups of 13 draws, with a cost of $28 for the 13 draws.
Step-by-step explanation:
Probability of drawing any of the 13 balls is the same. So the expected value of play is the average of the values of each card.
The only losing card is the ace; the player loses $20 if that card is drawn.
Each of the 3 face cards wins $10; each of the remaining 9 cards wins $2.
So the average value of each draw is

= 28/13
Therefore, on average the player will win $ 28/13. to be a fair game the player must pay $28/13 for a game.
that is not possible, unless the game must be played in groups of 13 draws, with a cost of $28 for the 13 draws.
Answer:
k= -9
Step-by-step explanation:
2k-3=9k+63-3 [expand the 9(k+7) first]
2k-9k=63-3+3 [put the like terms together]
-7k=63 [do the simple math]
k= 63 ÷ by -7
k=-9
Hi, the answer is "You pay $11 for a movie ticket and some amount at the concession stand for a total of $28". We know this because the key words "total" before $28 dollars - 'total' stands for an equal sign in equations.
The unknown, or x, is the "some amount at the concession stand". This is an unknown value, but we do know it is added to $11 dollars for the movie ticket (which is a known value.)
Therefore, we have 11 (the movie ticket) plus (key word: and) some amount (meaning x) = (key word: total) 28