12 movie tickets cost $36. At this rate, what is the cost per ticket?
1 answer:
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Answer:
x > -2
Step-by-step explanation:
First, you simplify both sides of the inequality by combining like terms
Then, you add 6x to both sides in order to isolate x (bring all the Xs to one side)
Lastly, you divide by 8 in order to cancel out 8x solve for x. Since 8 is not a negative number, you DO NOT flip the sign.
(b) To have no winner within the first 6 tosses means that there must be 3 tails and 3 heads tossed. So we count how many ways can that happen. The number of ways to choose 3 heads (or tails, doesn't matter) from 6 tosses is
so 20 ways winthin the 6 tosses. but the question was "how many ways among the 128 of 7 tosses" so we need to add the 7th toss by multiplying by another 2 possibilities for the outcome of the 7th toss, giving us the answer: among the 128 there are 40 games that are tied and need the 7th toss.
(c) The probability is the number of tied games (after 6 tosses) divided by the total number of possible configurations among 6 tosses: