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REY [17]
3 years ago
15

A six-sided number cube is labeled with the numbers 1-6, one number on each face. Each number is used exactly once.

Mathematics
1 answer:
I am Lyosha [343]3 years ago
8 0

Answer:

36

Step-by-step explanation:

This question can be solved using fundamental counting principle which means to say that if there are "m" ways  of doing one thing and there are "n" ways of doing other thing then there are total "m*n" ways of doing other things.

For example: if there are 4 type of pens and 3 type of notebook then there are "4*3" ways to write on notebook using  the pens.

_____________________________________________________

Using the above mentioned principle we have

 six sided cube with number 1 to 6  written on it hence in first roll there are six possible outcome(1 or 2 or 3 or 4 or 5 or 6) similarly there are 6 possible outcome in other roll as well.

If the combination of outcome is to be deduced then there are 6*6 ways of outcome based on  fundamental counting principle.

Hence there are 6*6 = 36 ways of possible outcomes.

_________________________________________________________

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Answer:

Possible lengths of the silk fibre 'x' are 100, 75, 60, 50 and 30 yards respectively.

Step-by-step explanation:

Let the length of the silk fiber = x yards.

Let the number of silk fibres = a.

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So, we get the equation,

ax=300, where 3\leq a\leq 10

i.e. x=\frac{300}{a}, 3\leq a\leq 10

So, the possible values of 'a' are 3, 4, 5, 6 an 10.

Thus, the possible lengths of the silk fibre 'x' are 100, 75, 60, 50 and 30 yards respectively.

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3 years ago
If Isaac uses a coupon entitling him to a 25% discount off the purchase price before tax, how much will his bill be? Assume that
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Answer:

b) 25/100 x 79

= 19.75

= 79 - 19.75

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= $63.4 (after adding tax)

First we have to take out the percentage of discount and minus it from the total cost . To find the discounted price with tax, we have to take out the percentage of the tax from the discounted amount and add it to the discounted amount to get the total cost.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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A pressure of a gas at 22°C is 600 mmHg when it occupies 2.5 L. If the gas is compressed to 1.8 L and the pressure changes to 76
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APPLICATION OF COMBINED GAS LAW

Combined gas law is a combination of Boyle's, Charles', and Gay-Lussac's Laws that expresses the relationship between pressure, temperature, and volume in a constant amount of gas (moles).

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  • In solving any problems related to Gas Law, it is important to remember that the standard unit measure for the temperature is always expressed in Kelvin (K). To do so, whatever the given temperature is (either °C or °F) you should convert them first so computation will be efficient.
  • If the given is in °C, then use the formula \sf{K = °C + 273.15}
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So to answer your question, what is the new temperature in K, the new temperature is T2 = 269.176 K or 269.18 K

(Please see attached image for the solution).

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