50 quarts of 5% butterfat and 1% butterfat milk are to be mixed.
<u>SOLUTION:
</u>
First, I will set up my table. I will fill in the unknowns with variables x and y.
The table is attached below
From the table attached below, we can easily set up the two equations.
<em>Sum of values of two milks = Value of mixture </em>
0.05x + 0.01y = 3
For convenience, we'll multiply the entire equation by 100,
5 x + y = 300 ------> (1)
Now, Sum of amounts of each acid = Amount of mixture
x + y = 100 ---------> (2)
Subtracting equation (2) from (1),
( + ) 5 x + y = 300
( − ) x - y = 100
− − − − − − − −
( = ) 4x + 0y = 200
Thus, 4x = 200
x = 50
Substituting x = 50 in (2),
( 50 ) + y = 100
y = 100 – 50 = 50
hence, 50 quarts of 5% butterfat and 1% butterfat milk are to be mixed.
Angle O in the pre-image corresponds to angle D in the image.
Step-by-step explanation:
Step 1; Shape LMNOP is rotated through 180° about point F to create the shape ABCDE. The highest point on LMNOP will be the lowest point on ABCDE and the lowest point on LMNOP will be the highest point on ABCDE. The highest point and the lowest point on LMNOP are P and N respectively. The highest and the lowest point on ABCDE are C and E. So Angle P equals angle E and angle N equals angle C.
Step 2; We measure the sides and assign the corresponding values from the first shape to the second shape.
Angle E = Angle P,
Angle D = Angle O,
Angle C = Angle N,
Angle B = Angle M,
Angle A = Angle L.
So angle D in the shape ABCDE corresponds to angle O in the shape LMNOP.
The answer is 112 Explanation: In order to divide
1
3
4
,
1st: you must find the reciprocal of the
denominator, which is
1
4
2nd: Then you multiply
1
3
by the reciprocal
So
1
3
4
will now be
1
3
x
1
4
=
1
12
Answer:
224
Step-by-step explanation:
Hope this helps!!
