Let 
be the amount of the 30% alloy and 
the amount of the 60% alloy the metalworker will use. However much is used, the final alloy will have a mass of
kilograms. For each kg of the 30% alloy used, 0.3 kg is copper; similary, each kg of the 60% alloy contributes 0.6 kg, so that
Now,
Answer:
The angle 
measures approximately 
Step-by-step explanation:
Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:
Then, for our case we get a starting equation that reads:
and for which we need to solve for . Then we use the arctangent function to get the final answer:
Check the picture below
notice, the length cannot be a negative value.. so is not -17
The outlier is the piece of data that does not fit the general data set. In this case, 46 is much higher than all of the other numbers. This is the outlier.
There are 16 servings for each 128 fluid ounces of juice.
Divide 80 servings by 16 servings, and 5 should be the quotient. Therefore, there are 5 jars of juice. Multiply 128 by 5 since 128 fluid ounces are in one jar. The answer should be 640 fluid ounces.
