8:8,16,24,32,40,48,56,64,
12:12,24,36,48
Least common multiple is 24 because it's less then the other common multiples such as 48
9514 1404 393
Answer:
5 hours
Step-by-step explanation:
A quick way to look at this is to compare the difference in hourly charge to the difference in 0-hour charge.
The first day, the charge is $3 more than $12 per hour.
The second day, the charge is $12 less than $15 per hour.
The difference in 0-hour charges is 3 -(-12) = 15. The difference in per-hour charges is 15 -12 = 3. The ratio of these is ...
$15/($3/h) = 5 h
The charges are the same after 5 hours.
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If you write equations for the charges, they will look like ...
y1 = 15 + 12(x -1)
y2 = 3 + 15(x -1)
Equating these charges, we have ...
15 +12(x -1) = 3 + 15(x -1)
12x +3 = 15x -12 . . . . . . . . eliminate parentheses
15 = 3x . . . . . . . . . . add 12-12x
x = 15/3 = 5 . . . . . . divide by 3
You might notice that the math here is very similar to that described in words, above.
The charges are the same after 5 hours.
Let us determine each of their rates of work:
Since Tiana can clear the field in 3 hours, meaning she can do 1/3 of the work per hour.
In the same way, Jacob can do 1/2 of the work per hour.
Now, what would be the rate of work if they were working together? Let's look at it like this:
Hours to complete the job:
Tiana = 3
Jacob = 2
Together = t
Work done per hour:
Tiana = 1/3
Jacob = 1/2
Together = 1/t
If you add their labor together:
1/3 + 1/2 = 1/t
5/6 = 1/t
t = 6/2 = 1.2
Together, they can clear the field in 1.2 hours.
<h3>Answer</h3>
B 5/8
<h3>Explanation</h3>
P(event)= 1/8 (the possibility that Jack rolls a 3) + 4/8 (the possibility that Jack rolls an even number such as 2,4,6,8) = 5/8