X = amount of the 18% solution
y = amount of the 40% solution
we know the 18% solution has only 18% of alcohol, the rest is maybe water or something, now, how many liters is 18%? well, 18% of anything is just (18/100) * anything, so, 18% of x is just (18/100) *x or 0.18x, and that's how many liters are there.
likewise, how many liters are there in the 40% solution? well, (40/100) * y, or 0.4y, that many.
we know the mixture has to yield 10 liters at 20% alcohol, how many liters of only alcohol is that? well, (20/100) * 10, or 2 liters.


how much of the 40% solution? well y = 10 - x
If period of

is one-half the period of

and
<span>

has a period of 2π, then

and

.
</span>
To find the period of sine function

we use the rule

.
<span /><span />
f is sine function where f (0)=0, then c=0; with period

, then

, because

.
To find a we consider the condition

, from where

.
If the amplitude of

is twice the amplitude of

, then

has a product factor twice smaller than

and while period of

<span> </span> is 2π and g(0)=0, we can write

.
All the numbers are multiplied by 2 or doubled.
So the missing number after 2 is 4.
After 16 is 32.
Answer:
x>-1
Step-by-step explanation:
Answer:
10 batches
Step-by-step explanation:
3/4 cups = 1 muffins
15/2 cups = x muffins
For x muffins,
3/4 × X = 15/2 × 1
3x × 2 = 15×4
6x = 60
Divide both sides by 6
6x/6 = 60/6
X = 10
Hence 10 batches of muffins will be made from 15/2 cups of nuts.