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Kryger [21]
3 years ago
5

A migrating bird flies 378 miles in 14 hours. How many miles does it fly in 3 ​hours?

Mathematics
1 answer:
jolli1 [7]3 years ago
6 0

Answer:

81 miles

Step-by-step explanation:

378/14=27

The unit rate is 27 miles per hour

27*3 = 81

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how much material was used in the manufacture of 24000 celluloid dice,if each dice has an edge 1/4 inches?
Dovator [93]
<span>The volume of each celluloid die is (.25 x .25 x .25) = 0.015625 cubic inch.

To manufacture 24,000 of them, you need to start with <u>at least</u>

(24,000) x (0.015625) = <u>375 cubic inches</u>.

I don't know how celluloid is sold, so you should also keep in mind that
375 cubic inches = about 207.8 fluid ounces, or about 6.5 quarts.

I'm sure a bit more than that was used in the manufacture, since
there's always some wasted, spilled, or trimmed off of the edges. </span>
4 0
3 years ago
What is the answer??
igomit [66]
Tbh I don’t really know but if it did I would of help you
3 0
3 years ago
Factor the following polynomial completely. 5x4+20x3-105x2
worty [1.4K]

Answer:

5x^{2}(x+7)(x-3)

Step-by-step explanation:

5x4+20x3-105x2

5x2( x^2 +4x -21)

5x^{2}(x+7)(x-3)

4 0
2 years ago
Read 2 more answers
A machine makes two components; call them types A and B. It takes 250 seconds to switch production between the component types.
Alexus [3.1K]

Answer:

The average inventory depends on the manufacturing batch size.

Its formula is:

Inventory=\frac{n}{3n+250}

Step-by-step explanation:

The question is incomplete.

Question complete:

<em>"A machine makes two components, call them type A and B. It takes 250 seconds to switch production between the component types. During that time no production occurs. When in production, each unit of A or B requires 0.5 seconds to be completed. The two components, A and B are combined in an assembly process to make a final product, call it C. The assembly step can combine the two components into 1 unit every 2 seconds. What is the average inventory of B components?"</em>

We have two steps in this process: the manufacturing of A and B and the assembly process.

We are not told about the batch size, so we will treat that as a variable called n. This represents the amount of units (of A or B) that are manufactured per cycle.

Time (seconds) to manufacture n units of A and n units of B:

T_m=n*0.5+n*0.5+250=n+250

Time (seconds)to assemble n units of C

T_a=n*2=2n

Then the total time of the cycle is:

T_m+T_a=n+250+2n=3n+250

The average inventory of B is n units per cycle, which lasts (3n+250) seconds.

Inventory=\frac{n}{3n+250}

For a batch size of 100 units, the average inventory is:

I_{100}=\frac{100}{3*100+250}=\frac{100}{550}=  0.182\, units/second

For a batch size of 1,000 units, the average inventory is:

I_{1000}=\frac{1000}{3*1000+250}=\frac{1000}{3250}=  0.308\, units/second

5 0
3 years ago
Which equation can be used to find the surface area of the cylinder?
vodka [1.7K]

Answer:

  S = 2 pi (3) squared + 2 pi (3) (14)

Step-by-step explanation:

The formula for the area of a circle is ...

  A = πr²

The cylinder has two circular bases with radius 3 cm, so their combined area in square centimeters is ...

  A = 2π(3²) . . . . . . matches a term in the last choice

__

The lateral area of the cylinder is the product of the height and the circumference of the base. That is ...

  A = 2πrh

For the given radius and height, the lateral area in square centimeters is ...

  A = 2π(3)(14) . . . . . . matches a term in the last choice

__

The total surface area is the sum of the areas of the bases and the lateral area, so is ...

  S = 2π(3²) +2π(3)(14) . . . . . matches the last choice

_____

<em>Comment on answer choices</em>

We could choose the correct answer based solely on the area of the bases of the cylinder.

6 0
3 years ago
Read 2 more answers
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