1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ipn [44]
3 years ago
7

A padlock has the digits 0 through 9 arranged in a circle on its face. A combination for 0 1 2 3 4 6 5 7 8 9 this padlock is fou

r digits long. Because of the internal mechanics of the lock, no pair of consecutive numbers in the combination can be the same or one place apart on the face. For example 0-2-7-1 is a valid combination, but neither 0-4-4-7 (repeated digit 4) nor 3-0-9-5 (adjacent digits 0-9) are permitted. How many combinations are possible?
Mathematics
1 answer:
stepan [7]3 years ago
8 0

Answer:

The total numbers of possible combinations are 3430.

Step-by-step explanation:

Consider the provided information.

A combination for 0 1 2 3 4 6 5 7 8 9 this padlock is four digits long. Because of the internal mechanics of the lock, no pair of consecutive numbers in the combination can be the same or one place apart on the face.

Here, for the first digit we have 10 choices.

For the second digit we have 7 choices, as the digit can't be the same nor adjacent to the first digit.

For the third digit we have 7 choices, as the digit can't be the same nor adjacent to the second digit.

For the fourth digit we have 7 choices, as the digit can't be the same nor adjacent to the third digit.

So the number of choices are:

10\times 7\times 7\times 7=10\times 7^3\\10\times 343=3430

Hence, the total numbers of possible combinations are 3430.

You might be interested in
What is the slope the line that passes through the points (-1, 3) and (1, -7)?
gulaghasi [49]

Answer:

-5 <3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The digits 2 comma 3 comma 4 comma 5 comma and 2, 3, 4, 5, and 6 are randomly arranged to form a​ three-digit number. ​ (Digits
iren2701 [21]
There are total of 5 digits, of which we arrange 3 of them.
Therefore using permutations we can find total possible 3-number combinations.
5P3 = 5*4*3 = 60

To be greater than 600 means first digit must be 6. (1 possibility)
A number is even only if last digit is even, 2 or 4.  (2 possibilities)
The 2nd digit then can only be 3,5, (2 or 4).    (3 possibilities)
The total possible even 3-digit numbers greater than 600 is product of each digit's possibilities.
---> 1*3*2 = 6

Therefore probability is 6/60 = 1/10.
5 0
3 years ago
How to turn negative into mixed numbers into improper fractions
masya89 [10]
U turn negative numbers from mixed numbers to improper fractions the same way u do with positive...u just temporarily disregard the negative sign.

Example : 
- 2 2/3.....temporarily disregard the negative sign......take ur whole number (2) and multiply it by ur denominator (3) giving u 6, then add that to ur numerator (2) giving u 8....then put that number over the original denominator (3) giving u 8/3...and then put back ur negative sign...-8/3
4 0
3 years ago
PLEASE HELP ME!!!!!!!!!!!!!!!!!!
lilavasa [31]

Answer:

a) 4 - vt - d = \frac{1}{2} at^{2}

b) 1 - 2(vt - d) = at^{2}

c) 6 - \frac{2(vt - d)}{t^{2}} = a

Step-by-step explanation:

It simply asks the steps to go from the original displacement formula to isolate a (the acceleration).  It's just a matter of moving items around.

We start with:

d = vt - \frac{1}{2} at^{2}

We then move the vt part on the left side, then multiply each side by -1 (to get rid of the negative on the at side and to match answer choice #4):

vt - d = \frac{1}{2} at^{2}

Then we multiply each side by 2 to get rid of the 1/2, answer #1:

2(vt - d) = at^{2}

Finally, we divide each side by t^2 to isolate a (answer #6):

\frac{2(vt - d)}{t^{2}} = a

4 0
3 years ago
Interpret the 2 expressions below without evaluating them. 19-(6+6) and 19-6+6
dybincka [34]
8, 9 you basically just evaluate the equation in the parentheses 
8 0
3 years ago
Read 2 more answers
Other questions:
  • okay so we have this problem of the week thing and this week our answer is 83 i need a algebra problem to equal to 83 can anyone
    15·1 answer
  • 5/8-1/4 as a fraction
    12·2 answers
  • The speed of a train is 60 miles per hour. In 2 hours, the train will cover miles, In 4 hours, the train will cover miles. The t
    14·1 answer
  • Which ratio best defines theoretical probability?
    12·2 answers
  • according to the general equation for conditional probability of p(an B) = 3/10 and P(B)= 3/5, what is P(A|B)
    10·2 answers
  • Fifty-six out of 128 students, went on a trip during vacation. What percent of students went on trips?
    5·1 answer
  • The number 4 + i is multiplied by some real number to yield 2 + one-half i. Which equation is true?
    7·2 answers
  • HELPPPP ASAPPPP PLSSSSS
    6·1 answer
  • Select the expression equivalent to 4(x - 7) + 8. A 4x - 47 + 8 B 4(x - 15) С 4x - 7 + 8 D 4x - 28 + 8​
    12·1 answer
  • I will give you 10 points!!! for a good anime to watch... it makes time go by fast... and i dont know what to watch. SUGGESTIONS
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!