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
larisa86 [58]
3 years ago
11

Zara has forgotten her 4-digit PIN code. She knows the first digit is a factor of 20 and the 4 digits make a number divisible by

5. How many different sets of 4 digits could it be?
Mathematics
1 answer:
KatRina [158]3 years ago
6 0

Answer:

800 different sets of digits.

Step-by-step explanation:

Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.

For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.

So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits

You might be interested in
What is the percent of increase from 40.2 to 98.9?
alekssr [168]

Answer:

146%

Step-by-step explanation:

To find the percent increase/decrease:

1. Subtract the original value from the new value.

2. Divide by the original value.

3. Multiply the decimal by 100 to convert to a percent.

98.9 - 40.2 = 58.7

58.7/40.2 = 1.46

1.46*100 = 146%

8 0
3 years ago
Which equation represents the graph below?
kari74 [83]
The correct answer it’s a
5 0
3 years ago
What is B-CF?
Sholpan [36]

I'm guessing on the make up of the matrices.
First off let's look at [C][F].
[C]=
[F]=
[C][F]=
where each element of [C][F] comes from multiplying a row of [C] with a column of [F].
Example: First element is product of first row and first column.

.
.
.
Now that we have [C][F], we can subtract it from [B], element by element,


[B]-[C][F]=
[B]-[C][F]=
.
.
.
If this is not how the matrices look,please re-state the problem and be more specific about the make up of the matrices (rows x columns).
Here's an example.
[A] is a 2x2 matrix. A=[1,2,3,4].
The assumption is that [A] looks like this,
[A]=
[B] is a 3x2 matrix. B=[5,6,7,8,9,10]
[B]=


7 0
3 years ago
Pls help. Evaluate the expression 3.14(a2 + ab) when a = 3 and b = 4. (Input decimals only, such as 12.71, as the answer.)
givi [52]
3.14(3(2) + 3(4))
3.14( 6 + 12) 
3.14(18)
=56.52
4 0
3 years ago
A 39-foot piece of string (hypotenuse) is stretched from the top of a 18-foot flagpole to the ground. How far is the base of the
ivann1987 [24]

9514 1404 393

Answer:

  34.6 ft

Step-by-step explanation:

The distance can be found using the Pythagorean theorem. Where a, b, c are the sides of a right triangle with c as the hypotenuse, it tells you ...

  a² + b² = c²

  a = √(c² -b²)

  base-to-string = √(39² -18²) = √1197 ≈ 34.598

The distance from the base of the pole to the end of the string is about 34.6 feet.

7 0
2 years ago
Other questions:
  • Determine if each table shown below represents a function or not ?
    13·2 answers
  • Y=x^3 + 2x^2 - 5x - 6; (x+1) <br>Please show all work
    9·1 answer
  • What is 6/12 + 3/12 + 4/12+1 8/12+2 9/12?Please turn into mixed number
    12·2 answers
  • What is the surface area of the rectangular prism?
    8·1 answer
  • Seven less than the sum of p and r is as much as 6
    8·1 answer
  • Please solve due soon
    13·2 answers
  • I need help to answer this question
    12·2 answers
  • Which of the following BEST describes how to use the addition property of equality to isolate the variable
    15·1 answer
  • What is the answer I need help
    14·1 answer
  • Please helppppp giving brainlest please!! thank you
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!