Answer: 0.512, 0.020, 0.012, 0.002
Step-by-step explanation:
To put these decimals in the order from greatest to least, we first need to make sure they all have the same place values.
0.012, 0.002, 0.020, 0.512
Now that they have the same place values, we can see which is bigger.
0.512, 0.020, 0.012, 0.002
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The number of half-hour sittings needed to watch all the shows by Devon is 11
<u>Solution:</u>
Given, Devon records 4 hours of reality shows on her DVR
she records comedy shows for 3/8 of that amount of time.
Devon watches all the reality and comedy shows in half-hour sittings.
We have to find the number of half-hour sittings needed to watch all the shows
Now, number of half hour sittings is given as
Hence Devon needs 11 sittings
Answer a = 5 and b = 2.
Procedure
Initially means x = 0, then
5 = a*b^0 = a*1 = a, then a = 5
When x = 1, the height is the double of 5, i.e 10 and
10 = a.b^1 = a.b ⇒ b = 10/a = 10/5 = 2
The a = 5 and b = 2, so the equation is y =5(2)^x
You want to find values of v (number of visors sold) and c (number of caps sold) that satisfy the equation
... 3v + 7c = 4480
In intercept form, this equation is
... v/(1493 1/3) + c/640 = 1 . . . . . divide by 4480
Among other things, this tells us one solution is
... (v, c) = (0, 640)
The least common multiple of 3 and 7 is 21, so decreasing the number of caps sold by some multiple of 3 and increasing the number of visors sold by that same multiple of 7 will result in another possible solution.
The largest multiple of 21 that is less than 4480 is 213. Another possible solution is (0 +213·7, 640 -213·3) = (1491, 1)
We can also pick some number in between, say using 100 as the multiple
... (0 +100·7, 640 -100·3) = (700, 340)
In summary, your three solutions could be
... (visors, caps) = (0, 640), (700, 340), (1491, 1)
