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Alla [95]
2 years ago
11

If three bags of birdseed cost $14.16, how much will 14 bags cost?

Mathematics
2 answers:
natita [175]2 years ago
7 0
The correct cost would have to be b. $66.08. You have to divide $14.16 by 3, then multiply by 14.
Rus_ich [418]2 years ago
5 0
All the information's required for solving this problem is already given in the question.
The cost of 3 bags of birdseed = 14.16 dollars
Then
The cost of 1 bag of birdseed = (14.16/3) dollars
So
The cost of 14 bags of birdseed = (14.16/3) * 14 dollars
                                                    = 198.24/3 dollars
                                                    = 66.08 dollars
So from the above deduction we can see that the correct option is option "B". The cost of 14 bags of birdseed is $66.08. I hope the procedure is clear enough for you to understand.
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A land owner is planning to build a fenced-in, rectangular patio behind his garage, using his garage as one of the "walls." He
Vitek1552 [10]

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.

A'(x)=\frac{d}{dx}(80x-2x^{2})

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A'(x) = 80 - 4x = 0

4x = 80

x = \frac{80}{4}

x = 20

Therefore, for x = 20 ft area of the rectangular patio will be maximum.

A(20) = 80×(20) - 2×(20)²

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Maximum area of the patio is 800 square feet.

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