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4 years ago

10

Every that is fully readable

1 answer:

n200080 [17]4 years ago

8 0

10)
60in=60in × (1ft/12in) = 5ft
30in= 30in × (1ft/12in) = 2.5ft
12in = 12in × (1ft/12in) = 1ft
answer is = 5ft × 2.5ft× 1ft =12.5 ft^3 = a

11)
dozen = 12 hammers
12 hammers = 20 pounds
therefore 1 hammer= 20/12 = 1.6666 lb

21 hammers ×1.666 = 35 = c

12)
convert qt to gal
600 gal × 4 qt/gal = 2400 qt

2400 qt ÷ 120 qt/min
=20 min = d

13)
Carla is 12
rob is 12+5= 17
cousin is 12-7 = 5

12+17+5= 34 =a

15)
convert 60ft into yards
60 ft × 0.333 yd/ft =20 yd

diameter = 20 yd

area of circle = (pi/4)×d^2
(pi/4)×20^2= 314.16 = b

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Step-by-step explanation:

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3 years ago

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3 years ago

If 30,000 cm2 of material is available to make a box with a square base and an open top, what is the largest possible volume (in

Cloud [144]

Answer:

The largest possible volume of the box is 2000000 cubic meters.

Step-by-step explanation:

The volume ( $V$ ), in cubic centimeters, and surface area ( $A_{s}$ ), in square centimeters, of the box with a square base are described below:

$A_{s} = l^{2}+h\cdot l$ (1)

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Where:

$l$ - Side length of the base, in centimeters.

$h$ - Height of the box, in centimeters.

By (2), we clear $h$ within the formula:

$h = \frac{V}{l^{2}}$

And we apply in (1) and simplify the resulting expression:

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$V = A_{s}\cdot l -l^{3}$ (3)

Then, we find the first and second derivatives of this expression:

$V' = A_{s}-3\cdot l^{2}$ (4)

$V'' = -6\cdot l$ (5)

If $V' = 0$ and $A_{s} = 30000\,cm^{2}$ , then we find the critical value of the side length of the base is:

$30000-3\cdot l^{2} = 0$

$3\cdot l^{2} = 30000$

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Then, we evaluate this result in the expression of the second derivative:

$V'' = -600$

By Second Derivative Test, we conclude that critical value leads to an absolute maximum. The maximum possible volume of the box is:

$V = 30000\cdot l - l^{3}$

$V = 2000000\,cm^{3}$

The largest possible volume of the box is 2000000 cubic meters.

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3 years ago

a game cost $30 and a stoe bought it and sold it for $50. what is the percent makeup???????????????? need help ASAP!

PIT_PIT [208]

Answer:

67%

Step-by-step explanation:

Cost plus markup = selling price.

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We now compare this $20 to the original cost ($30):

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3 years ago