A coffee shop plans to blend a coffee that sells for $12 per pound with coffee that sells for $9 per pound to produce a blend th
1 answer:
Answer:
20/3 pounds of coffee that costs $12 per pound and 40/3 pounds of coffee that costs $9 per pound are required
Step-by-step explanation:
Let x be the amount of coffee that costs $12 per pound
Cost of x amount of this type coffee = 12x
We are supposed to find How much of each should be used to produce 20 pounds of the new blend that costs $10 per pound
So, Amount of coffee required that costs $9 per pound = 20-x
Cost of (20-x) amount of this type of coffee = 9(20-x)
So,
Amount of coffee that costs $12 per pound required is
Amount of coffee that costs $9 per pound required = 20-x=
Hence 20/3 pounds of coffee that costs $12 per pound and 40/3 pounds of coffee that costs $9 per pound are required
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Given:
A figure of a circle. .
To find:
The length of KJ.
Solution:
From the given figure it is clear that the number 6 is marked between K and J it means the number 6 represents the distance between the points K and j.
Therefore, the length of KJ is 6 units.
Note: In the given question we need to find KL instead of KJ because KJ is already given.
According to the tangent secant theorem:
Where,
- a is the length of the tangent.
- b is the length of the external segment of the secant.
- c is the measure of the secant.
Using the tangent secant theorem, we get
On further simplification, we get
Splitting the middle term, we get
For ,
, which is not possible because side cannot be negative.
For ,
Therefore, the measure of KL is 2 units.