How many lbs of peanuts must mike add to 9 lbs of mixed nuts containing 40% peanuts to make a mixture with 73% peanuts
1 answer:
The new mixture exists 56.5% peanuts.
<h3>How to estimate the total number of peanuts required for the mixture?</h3>The first batch of 9 lb of mixed nuts possesses 40% peanuts.
This means the quantity of peanuts exists:
9 40/100 = 3.6 lb
The second batch of 9 lb of mixed nuts possesses 73% peanuts.
This means the quantity of peanuts exists:
9 73/100 = 6.57 lb
The total quantity of peanuts in the mix exists
3.6 lb + 6.57 lb = 10.17 lb
There exist 9 lb + 9 lb = 18 lb of mix.
Therefore, the percent of peanuts in the mix exists:
10.17 / 18 100 = 56.5%
The new mixture exists 56.5% peanuts.
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Answer: Find answer and explanation in the attached document.
Step-by-step explanation:
Answer:
s ∈ (25.5,34.5)
''s'' is in inches unit
s ∈ IR
Step-by-step explanation:
We know that the perimeter of a square is
Where P is the perimeter and s is the length of a side.
We want the perimeter to be greater than 102 inches but less than 138 inches.
We can write :
102 inches < P < 138 inches
If we replace P = 4s in the expression :
102 inches < 4s < 138 inches
Dividing by ''4''
25.5 inches < s < 34.5 inches
If we want the perimeter to be greater than 102 inches but less than 138 inches the length of a side must be greater than 25.5 inches but less than 34.5 inches.
Writing this in interval notation
s ∈ (25.5,34.5)
s ∈ IR