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melamori03 [73]
3 years ago
6

Rashid is paid by the hour. He earned $50 for a 4-hour workday. How much does he earn for a 5 1/4-hour workday?

Mathematics
1 answer:
xeze [42]3 years ago
5 0
ANSWER: $65.63

$50 divided by 4 hours = $12.50 per hour
1/4 can also be written as the fraction 0.25
So 5 1/4 hours is the same as 5.25 hours
$12.50 per hour x 5.25 hours = $65.625 rounded to the nearest cent = $65.63
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jenna's rectangular garden borders a wall. she buys 80 ft of fencing. what are the dimensions of the garden that will maximize i
FrozenT [24]

Answer:

The  dimensions are x =20 and y=20 of the garden that will maximize its area is 400

Step-by-step explanation:

Step 1:-

let 'x' be the length  and the 'y' be the width of the rectangle

given Jenna's buys 80ft of fencing of rectangle so the perimeter of the rectangle is    2(x +y) = 80

                         x + y =40

                               y = 40 -x

now the area of the rectangle A = length X width

                                                  A = x y

substitute 'y' value in above A = x (40 - x)

                                              A = 40 x - x^2 .....(1)

<u>Step :2</u>

now differentiating equation (1) with respective to 'x'

                                      \frac{dA}{dx} = 40 -2x     ........(2)

<u>Find the dimensions</u>

<u></u>\frac{dA}{dx} = 0<u></u>

40 - 2x =0

40 = 2x

x = 20

and y = 40 - x = 40 -20 =20

The dimensions are x =20 and y=20

length = 20 and breadth = 20

<u>Step 3</u>:-

we have to find maximum area

Again differentiating equation (2) with respective to 'x' we get

\frac{d^2A}{dx^2} = -2

Now the maximum area A =  x y at x =20 and y=20

                                        A = 20 X 20 = 400

                                         

<u>Conclusion</u>:-

The  dimensions are x =20 and y=20 of the garden that will maximize its area is 400

<u>verification</u>:-

The perimeter = 2(x +y) =80

                           2(20 +20) =80

                              2(40) =80

                              80 =80

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Answer:

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Step-by-step explanation:

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4x = 1 - y ____eqn I
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Answer:

2(3x - 7) =  - 4(x + 5) + 3 \\ 6x - 14 =  - 4x - 20 + 3 \\ 6x + 4x =  - 20 + 3 + 14 \\ 10x =  - 3 \\  \\ x =  \frac{ - 3}{10}  \\  \\ x =  - 0.3

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