Identify the polygon that is the shape of the United States flag.
1 answer:
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Answer:
The quantity of coffee costing $4 a pound in the coffee mixture is 2 pounds.
Step-by-step explanation:
Given: Coffee costing $4 a pound is mixed with 3 pounds of coffee costing 4.50 a pound to obtain a mixture costing $4.30 a pound.
We have to find the quantity of coffee costing $4 a pound in the mixture.
Let x represent the number of pounds of $4 coffee.
Cost of one pound = 4x.
Cost of 3 pounds of coffee costing 4.50 a pound = 3(4.50)
Cost of mixture costing $4.30 a pound = (x+3)(4.30)
According to given problem,
Solving for x, we get,
Rearranging like term together, we get,
Thus, the quantity of coffee costing $4 a pound in the coffee mixture is 2 pounds.
Answer:
Step-by-step explanation:
Calculus....finally something FUN to answer!
This is integration, but here you have the area under the curve, you just don't have the upper bound. Setting that problem up looks like this:
and using the First Fundamental Theorem of Calculus, that will integrate to look like this:
from 1 to b and applying the FTC:
Multiplying everything by 2 to get rid of the denominators gives you: