The amount in gallons of each milk containing 9% butterfat and milk containing 4% butterfat which must be used to obtain the desired 365 gallons are;
- 219 gallons of 9% fat.
- 146 gallons of 7% fat.
<h3>What quantity of each type of milk is required for the desired 365 gallon?</h3>
It follows from the task content that the quantity of each type of milk required to arrive at the targeted fat content and quantity of milk are to be determined.
Let x = quantity of 9% fat milk and
Let y = quantity of 4% fat milk
Therefore, by mass balance; we have;
x + y = 365.
Where; y = 365 - x.
Also, by fat balance; we have;
(9% × x) + (4% × y) = (7% × 365)
9x + 4y = 2555
Therefore, the two equations to be solved simultaneously by substituting y from the first equation into the second equation as follows;
9x + 4 (365 - x) = 2555
5x = 1095
x = 1095/5
x = 219 gallons.
Also, y = 365 - 219 = 146 gallons.
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For the first half; 2 is corresponding, 3 is alternate interior, 4 is alternate exterior, 5 is corresponding and 6 is alternate interior. As for the second half; 7 is 55 degrees, 8 is 145 degrees, 9 is 35 degrees, and 10 is 55 degrees.
Answer:
18
Step-by-step explanation:
-2 x^2y
Let x=-3 and y = -1
-2 (-3)^2 (-1)
-2 (9) (-1)
18
Answer:
Step-by-step explanation:
Let ABCD be the parallogram.
A,B,C and D are vertices in that order.
Since ABCD is a parallelogram, we get opposite sides are parallel
AB || CD
AD is a transversal making interior angles as A and D
By parallel lines properties we have A +D =180...i
Similarly since BC||AD, and AB is a transversal
Angle A+B =180...ii
We have from i and ii, Angle B = angle D
On the same grounds, as above, we can prove that
Angle A = Angle C
It follows that in a parallelogram opposite angles are equal.
