Answer:
The value of y is 6.
Step-by-step explanation:
The given equation is

It can be rewritten as


Multiply both sides by (y+4)(y-4).







Divide both sides by -2.

Therefore, the value of y is 6.
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Answer with Step-by-step explanation:
The basic water balance dictates that "Amount of water flowing into the basin should be equal to the amount of water flowing out of it".
Mathematically

where
P = precipitation
I = Infiltration losses in the basin
E = Evapotranspiration
Q = is outflow from the basin
Applying the given values we get

Part b)
From the above equation we get

The evaporation in cubic meters per year is

Answer:
Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds
In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:
Solve for a in first equation:
a = (6 - 3f) / 4
Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / 4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0
Now, substitute this value in the formula found for a:
a = (6 - 3·0) / 4
= 3/2 = 1.5
Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$
Step-by-step explanation: