Answer:
$30
Step-by-step explanation:
1% of $1200 = $12
0.5% = $6
$12 x 2 = $24
$24 + $6 = $30
her commission was $30
45% of two-fifteenths is equal to 0.45 * 2/15
the product of (x+1) and one-twelfth is equal to (x+1) * 1/12 or (1/12x + 1/12)
Multiply them together to get your answer.
In word problems "of" means multiply
Answer:
Pat t2 = 40 hrs
Step-by-step explanation:
Given:-
- Fred can paint a house in t1 = 10 hours.
- Pat can paint a house in t2 hours.
- pat and Fred can paint a house in T = 8 hours.
Find:-
Which equation, when solved will produce the number of hours need for pat to paint the house alone
Solution:-
- The number of people working on a particular activity " painting a house " is inversely proportional to time taken to complete the activity. tn = T. The relation for individual time taken ti to complete an activity.
Sum ( 1 / ti ) = 1 / T
Where, ti = The individual time for (ith) person
T = The total time taken to complete the time by i = n number of people.
- For n = 2,
1/t1 + 1/t2 = 1/T
1/10 + 1/t2 = 1/8
1 / t2 = 0.025
t2 = 40 hrs
- It takes Pat t2 = 40 hrs to complete painting the house.
Well, I don't know. Let's see . . . . .
First draw: One 'M' available out of 11 letters. Probability of picking it = 1/11.
2nd draw: Four 'I's available out of 10 letters. Probability of picking one = 4/10.
3rd draw: Four 'S's available out of 9 letters. Probability of picking one = 4/9.
4th draw: Three 'S's available out of 8 letters. Probability of picking one = 3/8.
5th draw: Three 'I's available out of 7 letters. Probability of picking one = 3/7.
6th draw: Two 'S's available out of 6 letters. Probability of picking one = 2/6.
7th draw: One 'S' available out of 5 letters. Probability of picking it = 1/5.
8th draw: Two 'I's available out of 4 letters. Probability of picking it = 2/4.
9th draw: Two 'P's available out of 3 letters. Probability of picking one = 2/3.
10th draw: One 'P' available out of 2 letters. Probability of picking it = 1/2.
11th draw: One letter left. It is an 'I'. Probability of picking it = 1 .
Probability of all of those draws in order =
(1/11) x (4/10) x (4/9) x (3/8) x (3/7) x (2/6) x (1/5) x (2/4) x (2/3) x (1/2) x (1) =
1,152 / 39,916,800 =
1 / 34,650 =
0.00002886 =
<em> 0.002886 percent</em> (rounded)
Not a good bet. (But better than the lottery.)
