Answer:
The heights are the same after 4 hours.
Step-by-step explanation:
The red candle burns at a rate of 7/10 inches per hour. In t hours, (7/10)t inches have burned. The height of the candle after t hours is 8 - (7/10)t.
The blue candle burns at a rate of 1/5 inch per hour. In t hours, (1/5)t inches have burned. The height of the candle after t hours is 6 - (1/5)t.
You need to find the time, t, when their heights are equal.
8 - (7/10)t = 6 - (1/5)t
Multiply both sides by 10 (the LCD).
80 - 7t = 60 - 2t
-5t = -20
t = 4
The heights are the same after 4 hours.
Answer:
25 more boxes is needed
Step-by-step explanation:
12000 batteries require 50 boxes. Let's find the unit rate.
That is, how many batteries are in each box??
That's 12,000/50!
12,000/50 = 240 batteries per box
Now, to find how many boxes we would need for 18,000 batteries, we will have to divide the total (18000) by 240(number of batteries per box). That is:
18,000/240 = 75 boxes
We would need 75 boxes to pack 18,000 batteries.
We want "how many MORE boxes needed", so we will the excess:
75 - 50 = 25 more boxes is needed
Market value = $310,000
Since market value for tax purposes is 40% of the actual market value,
Market value for tax assessment = $310,000*40% = $124,000
Tax rate per $1000 of assessed valuation = $145.10 or 14.51% of the assessed value
Hence tax to be paid by leo = $124000*14.51% = $17992.40
1) The outcomes for rolling two dice, the sample space, is as follows:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
There are 36 outcomes in the sample space.
2) The ways to roll an odd sum when rolling two dice are:
(1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (3, 6), (4, 1), (4, 3), (4, 5), (5, 2), (5, 4), (5, 6), (6, 1), (6, 3), (6, 5). There are 18 outcomes in this event.
3) The probability of rolling an odd sum is 18/36 = 1/2 = 0.5
