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AURORKA [14]
2 years ago
12

A manufacturer is shipping a certain material in boxes which are 24 inches long, 16 inches wide and 12 inches high. The boxes, w

hen they are full of the material, weigh 005 pounds per cubic inch. If the entire shipment contains 450 of these filled boxes, what is the total weight of the shipment?
Mathematics
1 answer:
horrorfan [7]2 years ago
7 0

Answer:

10,368 pounds.

Step-by-step explanation:

The volume of each box =  24*16*12 = 4608 in^3.

Total weight of the shipment = 450 * 4608 * 0.005

= 10,368 pounds.

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Factor: 8ab - 16ac + 12a
aksik [14]
The GCF we factor out is 4a

8ab = 4a*2b
16ac =  4a*4c
12a = 4a*3

Each term has been factored so that 4a is a factor

Using those factorizations, we can use the distributive property in reverse
8ab - 16ac + 12a = 4a*2b - 4a*4c + 4a*3
8ab - 16ac + 12a  = 4a*(2b - 4c + 3)

Answer is choice A<span />
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2 years ago
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When a number is added to 1/5 of itself, the result is 24. The equation that models this problem is n + 1/5n = 24. What is the v
Zielflug [23.3K]
The answer is 20 since 1/5 of 20 is 4, and 20 + 4 = 24.
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3 years ago
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Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 16 in the manner described. (En
ArbitrLikvidat [17]

Answer:

a) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t, b) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t, c) x = 4\cdot \cos \left(t+\frac{\pi}{2}  \right), y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right).

Step-by-step explanation:

The equation of the circle is:

x^{2} + (y-1)^{2} = 16

After some algebraic and trigonometric handling:

\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = 1

\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = \cos^{2} t + \sin^{2} t

Where:

\frac{x}{4} = \cos t

\frac{y-1}{4} = \sin t

Finally,

x = 4\cdot \cos t

y = 1 + 4\cdot \sin t

a) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t.

b) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t.

c) x = 4\cdot \cos t'', y = 1 + 4\cdot \sin t''

Where:

4\cdot \cos t' = 0

1 + 4\cdot \sin t' = 5

The solution is t' = \frac{\pi}{2}

The parametric equations are:

x = 4\cdot \cos \left(t+\frac{\pi}{2}  \right)

y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)

7 0
3 years ago
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Let x = the amount that Seini earned
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The amount Gavin earned would also = 425 - x (your directions asked you to have 2 equations.)
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2x = 400
Now divide both sides by 2 to find x.

Use all of this data to satisfy the directions.
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121 \geqslant38d
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