You start of with a number, ( this number can be any number) so think of it as an unknown number. the number shall be denoted as x
so you have x
you want triple the number
3x
you also want to double the number
2x
you want the difference so you subtract these two terms
3x-2x
Answer:
5,040 different passwords are possible
Step-by-step explanation:
Assuming that 4-digit means using only numeric values.
This is a permutations problem.
n = number of values used with number values only this is 10
r = the number used in each case without repeating in this case 4
nPr = n! / (n - r)!
nPr = 10! / (10-4)!
nPr = 10! / 6!
The ! means factorial. For example 4! = 4 x 3 x 2 x 1 = 24
A quick hack for dividing factorials is to use cancelling.
10! / 6! = 10 x 9 x 8 x 7 (because 6 to 1 are cancelled by 6!)
= 5040
Answer:1(d)+.25(q)+.01(p)
Step-by-step explanation:you do not need an explanation please bro
Let <em>x</em> be the number of one-striped fish and <em>y</em> the number of two-striped fish.
100 families each have 2 fish, so there are a total of 200 fish:
<em>x</em> + <em>y</em> = 200
<em>x</em> one-striped fish carry a total of <em>x</em> stripes, while <em>y</em> two-striped fish carry a total of 2<em>y</em> stripes. There are 273 stripes overall, so
<em>x</em> + 2<em>y</em> = 273
Solve for <em>x</em> and <em>y</em>. Subtracting the first equation from the second eliminates <em>x</em> :
(<em>x</em> + 2<em>y</em>) - (<em>x</em> + <em>y</em>) = 273 - 200 ==> <em>y</em> = 73
Then
<em>x</em> + 73 = 200 ==> <em>x</em> = 127
Answer: 7^29
Step-by-step explanation:
7^8 x 7^3 x 7^4 x 7^9 x 7~5
= 7^29
= 3.21991 x 10^24