121 pounds of chicken
<h3>Explanation:</h3>Let x and y represent pounds of beef and chicken, respectively. Then the problem statement gives rise to two equations:
... (1/3)x + (1/4)y = 54 3/4
... x + y = 194 1/2
We can use Cramer's Rule to solve for y.
... y = ((54 3/4)·(1) -(194 1/2)·(1/3))/((1/4)·(1) -(1)·(1/3))
... y = (-121/12)/(-1/12)
... y = 121
The butcher has 121 pounds of chicken.
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<em>Cramer's Rule</em>
For equations ...
Cramer's rule tells you the solutions are ...
... ∆ = bd-ae
... x = (bf -ec)/∆
... y = (cd -fa)/∆
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<em>Comment on Cramer's Rule</em>
If you're only interested in one of the variables, quite often this technique is faster than other processes that might be used to find the value. If you examine the rule's equations closely and look at the pattern of coeffcients used, you may find it relatively easy to remember.
The actual "Cramer's Rule" uses the negative of the numerator and denominator expressions shown here. It is based on column replacement in the coefficient matrix. This form is promoted by practitioners of Vedic math because it is relatively easy to remember the pattern and most of the time the math can be done in your head (though you might find it difficult with these mixed numbers).
Answer:
22.63 inches
Step-by-step explanation:
Length of the square monitor = 16 inches
Width of the square monitor = 16 inches
Let the diagonal of the monitor = l inches
Then the square of the diagonal is given by sum of the squares of length and width.
Hence the length of the diagonal is 22.63 inches.