150 / 12 = 11.6666666667
11.6666666667 x 30 = approximately 350g of flour for 30 cakes

Let

The curl is

where
denotes the partial derivative operator with respect to
. Recall that



and that for any two vectors
and
,
, and
.
The cross product reduces to

When you compute the partial derivatives, you'll find that all the components reduce to 0 and

which means
is indeed conservative and we can find
.
Integrate both sides of

with respect to
and

Differentiate both sides with respect to
and




Now

and differentiating with respect to
gives




for some constant
. So

All you have to do is solve for x. See the following steps below.
Step 1. Subtract

from both sides

Step 2. Simplify

to

240 is the correct answer.
Answer: 170 Gallons
Step-by-step explanation: A water hose can let out 17 gallons of water in a minute. In 10 Minutes, if you multiply 17 by 10, you get 170.