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Annette [7]
3 years ago
15

mrs.corn is makin a turkey dinner. it is 22 pounds. it takes 20 minutes a pound to cook a stuffed turkey and 15 minutes a pound

to cook an unstuffed turkey. how long will it take to cook a stuffed turkey? an unstuffed turkey? if ms corn decides she wants dinner at 4:00 pm and the turkey should sit 30 minutes before its served, when should she put it in the oven?
Mathematics
1 answer:
Vladimir79 [104]3 years ago
4 0

If the turkey is stuffed so time it will be cook is:

T = 22 lb ( 20 min/ lb) = 440 min = 7 hrs and 20 min

If the turkey is unstuffed so the timme it will be cook is:

T = 22 lb (15 min / lb) = 330 min = 5 hrs and 30 min

If she wants dinner at 4:00 pm and it should 30 min berfore it is served

If the turket is stuffed so ii should be placed in the oven at 8:10 am

If the turkey is un stuffed it should be placed at the oven at 10:00 am

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2 years ago
A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs $0.35 per square foot, the
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Length = 2 ft

Width = 2 ft

Height = 5 ft

Step-by-step explanation:

Let the square base of the box has one side = x ft

Therefore, area of the base = x² ft²

Cost of the material to prepare the base = $0.35 per square feet

Cost to prepare the base = $0.35x²

Let the height of the box = y ft

Then the volume of the box = x²y ft³ = 20

y=\frac{20}{x^{3} } -----(1)

Cost of the material for the sides = $0.10 per square feet

Area of the sides = 4xy

Cost to prepare the sides of the box = $0.10 × 4xy

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Cost to prepare the top = $0.15x²

Total cost of the box = 0.35x² + 0.40xy + 0.15x²

From equation (1),

Total cost C=0.35x^{2}+(0.40x)\times \frac{20}{x^{2} }+0.15x^{2}

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C=0.5x^{2}+\frac{8}{x}

Now we take the derivative of C with respect to x and equate it to zero,

C'=0.5(2x)-\frac{8}{x^{2}} = 0

x-\frac{8}{x^{2}}=0

x=\frac{8}{x^{2} }

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x = 2 ft.

From equation (1),

(2)^{2}y=20

4y = 20

y = 5 ft

Therefore, Length and width of the box should be 2 ft and height of the box should be 5 ft for the minimum cost to construct the rectangular box.

8 0
2 years ago
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