18\2
9\3
3\3
1
130\2
65\5
13\13
1
GCF (18, 30) = 2
Answer:
383 children and 361 adults
Step-by-step explanation:
Let's say there are a adults and c children. Since the total number of people was 744, we can write:
a + c = 744
We also know that children's prices are $1.75 per child and adults' prices are $2 per adult. Since the total is $1392.25, we can write:
1.75c + 2a = 1392.25
Now we have a system of linear equations:
a + c = 744
1.75c + 2a = 1392.25
Multiply the first equation by 2:
2 * (a + c = 744) ⇒ 2a + 2c = 1488
Now subtract the second equation from this one:
2a + 2c = 1488
- 2a + 1.75c = 1392.25
___________________
0a + 0.25c = 95.75
c = 383
Plug this in to find a:
a + c = 744
a + 383 = 744
a = 361
There were 383 children and 361 adults.
We are given here that a blackjack hand consists of:
1 of the 4 aces = 4 / 52
1 of the 16 cards worth 10 points (10, jack, queen, king)
= 16 / 52
So assuming that cards are dealt without replacement,
therefore the probability of getting a blackjack hand is:
<span>P = 1st is ace * 2nd is 10 pt card +
1st is 10 pt card * 2nd is ace</span>
P = (4 / 52) * (16 / 51) + (16 / 52) * (4 / 51)
P = 0.04827 = 4.83%
Therefore there is a 4.83% probability to get a blackjack
hand.
<span> </span>
Answer:
$70
Step-by-step explanation:
1 - ⅙ - ¼ = (12 - 2 - 3)/12 = 7/12
7/12 × 480 = 280
280/4 = 70
