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draw the line down the equal sign
Step-by-step explanation:
Answer: 14,515,200
Note: this is a single number (not an ordered triple or a collection of three different numbers) roughly equal to about 14.5 million if you round to the nearest hundred thousand.
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Explanation:
There are 13 people. Let's call them person A, person B, person C, ... all the way up to person M. The first four people are given who we'll call A through D. The rest (E through M) aren't really important since they aren't named.
A = Monsier Thenardier
B = Madame Thenardier
C = Cosette
D = Marius
Peron's E through M = remaining 9 people
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A and B must stick together. Because of this, we can consider "AB" as one "person".
So we go from 13 people to 13-2+1 = 12 "people".
Likewise, C and D must stick together. We can consider "CD" as one "person". So we go from 12 "people" to 12-2+1 = 11 "people"
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The question is now: how many ways can we arrange these 11 "people" around a circular table? The answer is (n-1)! ways where n = 11 in this case
So, (n-1)! = (11-1)! = 10! = 10*9*8*7*6*5*4*3*2*1 = 3,628,800
We're almost at the answer. We need to do two adjustments.
First off, for any single permutation, there are two ways to arrange "AB". The first is "AB" itself and the second is the reverse of that "BA". So we will multiply 3,628,800 by 2 to get 2*3,628,800 = 7,257,600
Using similar logic for "CD", we double 7,257,600 to get 2*7,257,600 = 14,515,200
The final answer is 14,515,200
There are 74.227 milliliters of acid in the solution.
Explanation:
- The total amount of liquid is 373 milliliters. This is both the acid and water combined i.e amount of liquid + amount of acid = 373 milliliters
- If 19.9% of this is acid it means 19.9% of the the entire 373 milliliters is acid. So we calculate how much 19.9% of 373 milliliters is.
- 19.9% of 373 milliliters = 0.199 × 373 = 74.227 milliliters. So 74.227 milliliters of the entire solution is acid.
Answer:
yes there is because the carpet is 9ft squared but the dinning room floor area is 3.5*3.5= 12.25 so there is still space left even when carpet is put down.
Answer:
c<5, and c>-4.
<u>Steps used for answers:</u>
5c+3<28 =
1. Subtract 3 from both sides.
5c<28-3
2. Simplify 28-3 to 25.
5c<25
3. Divide both sides by 5.
c<25/5
4. Simplify 25/5 to 5.
c<5
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-4c-2<14 =
1. Add 2 to both sides.
-4c<14+2
2. Simplify 14+2 to 16.
-4c<16
3. Divide both sides by -4.
c>-16/4
4. Simplify 16/4 to 4.
c>−4
<u>Done by NeighborhoodDealer</u>
