All of the following are equivalent except:
1 answer:
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Answer:
2.4 pints
Step-by-step explanation:
Araceli uses 9.6 pints of blue paint and white paints, that means the total volume of paint is 9.6 pints
If Three fourths of this amount is blue paint ,
Then
7.2 pints of blue paint was used.
We want to find out how much white paint was used by Araceli
Volume of Blue Paint+Volume of White Paint=Total Volume of Paint
7.2+Volume of White Paint=9.6
Volume of White Paint=9.6-7.2=2.4 pints
Answer:
Maximum area = 800 square feet.
Step-by-step explanation:
In the figure attached,
Rectangle is showing width = x ft and the side towards garage is not to be fenced.
Length of the fence has been given as 80 ft.
Therefore, length of the fence = Sum of all three sides of the rectangle to be fenced
80 = x + x + y
80 = 2x + y
y = (80 - 2x)
Now area of the rectangle A = xy
Or function that represents the area of the rectangle is,
A(x) = x(80 - 2x)
A(x) = 80x - 2x²
To find the maximum area we will take the derivative of the function with respect to x and equate it to zero.
= 80 - 4x
A'(x) = 80 - 4x = 0
4x = 80
x =
x = 20
Therefore, for x = 20 ft area of the rectangular patio will be maximum.
A(20) = 80×(20) - 2×(20)²
= 1600 - 800
= 800 square feet
Maximum area of the patio is 800 square feet.
