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Troyanec [42]
3 years ago
5

Kevin packs cans of beans into cases. He has 3,987 cans, and each case holds 240 cans. How many cases will he need to pack all t

he cans?
Mathematics
2 answers:
vivado [14]3 years ago
4 0

3987/240=16.6125

So he would need 17 Cases/Boxes to fit the cans.

Answered by /\///\/_//\

kifflom [539]3 years ago
3 0
The person above me is correct.
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A bag contains three marbles, eight blue marbles and nine red marbles. If the marbles are picked at random, what is the probabil
Phoenix [80]

The probability of obtaining two blue marbles without replacement is equal to 0.15.

We are given that:

The number of yellow marbles = 3

Number of red marbles = 9

Number of Blue marbles = 8

Total marbles = 3 + 9 + 8

Total marbles = 20

Now, we have to calculate the probability of obtaining two blue marbles without replacement.

The probability will be:

P( obtaining two blue marbles without replacement )  = 8 / 20 × 7 / 19

P( obtaining two blue marbles without replacement )  = 56 / 380

P( obtaining two blue marbles without replacement )  = 0.15

Therefore, the probability of obtaining two blue marbles without replacement is equal to 0.15.

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5 0
2 years ago
Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is proportional to the product o
Keith_Richards [23]

Answer:

  32.1 g

Step-by-step explanation:

In each 3 grams of C, there are 2 grams of A and 1 gram of B. So, for some amount C, the amount remaining of A is 40 -(2C/3), and the amount remaining of B is (50 -C/3). Since the reaction rate is proportional to the product of these amounts, we have ...

  C' = k(40 -2C/3)(50 -C/3) = (2k/9)(60 -C)(150 -C) . . . for some constant k

This is separable differential equation with a solution of the form ...

  ln((150 -C)/(60 -C)) = at + b

We know that C(0) = 0, so b=ln(150/60) = ln(2.5). And we know that C(10) = 20, so ln(130/40) = 10a +ln(2.5) ⇒ a = ln(1.3)/10

Then our equation for C is ...

  ln((150 -C)/(60 -C)) = t·ln(1.3)/10 +ln(2.5)

__

For t=20, this is ...

  ln((150 -C)/(60 -C)) = 2ln(1.3) +ln(2.5) = ln(2.5·1.3²) = ln(4.225)

Taking antilogs, we have ...

  (150 -C)/(60 -C) = 4.225

  1 +90/(60 -C) = 4.225

  C = 60 -90/3.225 ≈ 32.093 . . . . . grams of product in 20 minutes

In 20 minutes, about 32.1 grams of C are formed.

7 0
3 years ago
ABC Office Supply offers an electric typewriter for $129.95. If ABC received a 15% markup on cost by selling the typewriter at t
const2013 [10]
A 15% percent markup means that the typewriter cost was increased by 15%, or 0.15 by moving the decimal 2 places to the left. If the original price was x, and 15% of it is 0.15*x, we can add them up to get 1.15*x=129.95. Dividing both sides by 1.15, we get x=113 dollars
8 0
3 years ago
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Complete the square x^2+45=-14x
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3 years ago
What is the horizontal displacement of the basic graph to produce a graph of
chubhunter [2.5K]

Since the equation says "cos(x-2)", we know that the horizontal displacement is 2 units.

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3 years ago
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