Answer:
Brand A is the better buy with unit rate $4/cup.
Step-by-step explanation:
Given:
Brand A 33 fluid ounce bottle = $16.50
Brand B 1 cup = $4.80
We need to find the unit cost and find which is the better buy.
Solution:
For Brand A;
33 fluid ounce = $16.50
1 fluid ounce = Cost for 1 fluid ounce
By using Unitary method we get;
Cost for 1 fluid ounce = 
Now we know that;
1 cup = 8 fluid ounce.
1 fluid ounce = $0.5
8 fluid ounce = Cost for 8 fluid ounce of olive oil.
Again By using Unitary method we get;
Cost for 8 fluid ounce of olive oil = 
Hence Brand A 1 cup of olive oil cost $4.
For Brand B;
Given:
1 cup of olive oil =$4.80
Hence Brand B 1 cup of olive oil cost $4.8.
By Comparing both brands we can see that per unit cost of Brand A is less than Brand B.
Hence Brand A is the better buy.
Answer:Yancy rents a car for $20 per day plus 12 cents per mile. He had the car for one day and was charged $63.68. Yancy drove the car a total of miles.
Step-by-step explanation 364:miles
The standard deviation from the mean of the data with a variance of 36 is: B. 6.
<h3>What is Standard Deviation?</h3>
Standard deviation can be described as the average of the distance each of the value lies from the mean of the data.
The standard deviation is the square root of the variance.
Variance of the data is given already as 36.
Standard deviation = √36 = 6.
The answer is B. 6.
Learn more about the standard deviation on:
brainly.com/question/12402189
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Answer:
x = 28 m
y = 14 m
A(max) = 392 m²
Step-by-step explanation:
Rectangular garden A (r ) = x * y
Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.
the perimeter of the rectangle is p = 2*x + 2*y ( but in this particular case only one side x will be fencing with wire
56 = x + 2*y 56 - 2*y = x
A(r) = ( 56 - 2*y ) * y
A(y ) = 56*y - 2*y²
Tacking derivatives on both sides of the equation we get:
A´(y ) = 56 - 4 * y A´(y) = 0 56 - 4*y = 0 4*y = 56
y = 14 m
and x = 56 - 2*y = 56 - 28 = 28 m
Then dimensions of the garden:
x = 28 m
y = 14 m
A(max) = 392 m²
How do we know that the area we found is a local maximum??
We find the second derivative
A´´(y) = - 4 A´´(y) < 0 then the function A(y) has a local maximum at y = 14 m
