Denote the cylindrical surface by 
, and its interior by 
. By the divergence theorem, the integral of 
across (the outward flow of the fluid) is equal to the integral of the divergence of over the space it contains, :
The given velocity vector has divergence
Then the total outward flow is
Converting to cylindrical coordinates gives the integral
Answer:
95%
Step-by-step explanation:
300/284 = 0.946666... rounded the the whole percent is 95%
300 * 95% = 285
d = dimes
q = quarters
d+q = 38 coins
q=38-d
0.25q + 0.10d=6.95
0.25(38-d)+0.10d=6.95
9.5-0.25d+0.10d=6.95
-015d=-2.55
d=-2.55/-0.15 = 17
q=38-17 =21
21*0.25 =5.25
17*0.10 = 1.70
5.25+1.70 = 6.95
she had 21 quarters and 17 dimes
Answer:
27 boys
Step-by-step explanation:
The ratio of boys to girls is 3 to 6. The total is (3+6) is 9.
Using the ratio of boys to total (3 to 9), we set it equal to the ratio of boys to total students (81)
3 b
---- = -------------
9 81
We can solve this using cross products.
3*81 = 9b
243 = 9b
Divide each side by 9
243/9 =9b/9
27 =b
There are 27 boys
