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Dominik [7]
3 years ago
5

there are 12 state quarters and 5 regular quarters in a bag. Rees randomly picks up a quarter and then puts it back in the jar a

nd randomly picks another without looking. If the first quarter was a state quarter, what is the probability that the second quarter will be a regular quarter? write as a simplified fraction.
Mathematics
1 answer:
densk [106]3 years ago
8 0
There will be 17 quarters in the bag (12 which are state and 5 which are regular). The probability of the state quarters picked on the first try would be 12/17 while the probability of the second will be 5/17. If Rees put the state quarter back in the jar, then probability that the second quarter will be a regular quarter will remain 5/17. 
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ipn [44]
Multiples : these are what we get after multiplying a number by an integer (not a decimal or fraction)
Example : 6 * 1 = 6......6 * 2 = 12.....6 * 3 = 18......so 6,12, and 18 are multiples of 6.

factors : these are what we multiply by to get a number
Example : 1 * 6 = 6.....so 1 and 6 are factors of 6....2 * 3 = 6 ...so 2 and 3 are also factors of 6
==============================
problem 1 : Look at ur clues...each number is less then or equal to 12....this right here eliminates D because of the 15. The greatest common factor of the 2 numbers is 2....and this eliminates B because if it has a factor of 2, it has to be an even number. So that leaves us with :
A. 6 and 10
C. 10 and 12
last clue....they have a least common multiple of 60...this means that ur 2 numbers cant have any other common multiples until 60.
6 * 10......both are multiples of 60...however, they are also both multiples of 30...so 60 is not the least common multiple of 6 and 10, it is 30.
Therefore, ur answer is C. 10 and 12....with the LCM of 60, LCF of 2 and < or = to 12
===================
problem 2 : GCF (greatest common factor) of 42 and 84

factors of 42 : 1,2,3,6,7,14,21,42
factors of 84 : 1,2,3,4,6,7,12,14,21,28,42,84

therefore, the GCF of these 2 numbers is 42

8 0
4 years ago
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Step-by-step explanation:

3 0
3 years ago
Fill in the blank. tripling the radius of a sphere increases the surface area by a factor of ___________.
Mandarinka [93]
To solve this completion exercise, you must keep on mind the following information:

 - The formula for calculate the area of a sphere, is the following:

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 Where Vsphere is the volume of the sphere and "r" is the radius of the sphere.

 - Therefore, if you multiply the radius by 3, or triple the radius, the surface area increase by a factor of 9 (3^2=9).

 The answer is: T<span>ripling the radius of a sphere increases the surface area by a factor of 9.</span>
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5 0
3 years ago
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Yuki888 [10]

Answer:

16. -7x-14

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Step-by-step explanation:

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