50 quarts of 5% butterfat and 1% butterfat milk are to be mixed.
<u>SOLUTION:
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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.
These angles, 110º and 7xº, are examples of supplementary angles.
Supplementary angles are angles that, when added together, produce a sum of 180º.
This means 110º + 7xº = 180º.
With this equation, 110º + 7xº = 180º, we can isolate the variable and solve for x to answer this question.
110º + 7xº = 180º
The first step to solve for x is to subtract 110º from both sides of the equation.
110º + 7xº - 110º = 7xº
180º - 110º = 70º
7xº = 70º
Since we want 1xº instead of 7xº, we need to divide both sides by 7.
7xº / 7 = xº
70º / 7 = 10º
xº = 10º
Now we have our solution!
The value of x is 10º.
Let's check this to be sure.
7xº, when added to 110º, must equal 180º since 7xº and 110º are supplementary angles.
7xº + 110º = 180º
We found that x is 10º.
7(10)º + 110º = 180º
7 • 10 = 70
70º + 110º = 180º
180º = 180º
This works! That means that x = 10º is in fact the correct answer.
Answer:
x = 10º
Hope this helps!
Answer:
28th
Step-by-step explanation:
Put that value into the formula and solve for n.
191 = 2 +7(n -1)
(191 -2)/7 = n-1 . . . . . . . subtract 2 and divide by 7
27 +1 = n . . . . . . . . . . . .add 1
191 is the 28th term in the sequence.
Answer:
Step-by-step explanation:
.032,.312,.203
