5.25 pounds of one alloy containing 45% copper and 36.75 pounds of 69% copper is used to make 42 pounds of 66% copper
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the amount of 45% copper and y represent the amount of 66% copper needed to make 42 pounds of a third alloy containing 66% copper. Hence:
x + y = 42 (1)
Also:
0.45x + 0.69y = 42(0.66) (2)
This gives:
x = 5.25, y = 36.75
5.25 pounds of one alloy containing 45% copper and 36.75 pounds of 69% copper is used to make 42 pounds of 66% copper
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To find in how many ways this can be done, we can use the method of combination.
As the customer have to choose 2 out of 3 appetizers, the combination would be 3C2.
For 4 out of 5 main courses, the combination wouls be 5C4.
For 6 out of 8 desserts, the combination would be 8C6.
We can then combine them into a single equation to find the answer:
3C2 x 5C4 x 8C6
=420
Therefore, the answer is 420 ways.
Hope it helps!
The answer to the expression is -97/20 or -4.85
If ABC type question, then sometimes. If its extended, then only when the lines coincide with each other or if one of the lines aren't linear.
