Zara has forgotten her 4-digit PIN code.
She knows the first digit is a factor of 10 and the 4 digits make a number divisible by 5.
How many different sets of 4 digits could it be?

Answers

Answer 1
800 different sets of digits


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
Answer 2

Answer:

800 different 4 digit passwords can be the pin

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,  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,

So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is

4 × 10 × 10 × 2 = 800 different sets of digits


Related Questions

Please help me, Evaluate [4 - (5 - 7(6 - 5) + 7)] + 4

Answers

Answer:

3

Step-by-step explanation:

1st step:  (6-5) = 1; you now have:

[4 - 5 - 7(1) + 7)] + 4

2nd step:  7(1) = 7; you now have:

[4 - (5 - 7 + 7)] + 4

3rd step:  5 - 7 + 7 = 5; you now have:

[4 - 5] + 4, which is (-1 + 4) which equals 3

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{[4 - (5 - 7(6 - 5) + 7)] + 4}[/tex]

[tex]\huge\textsf{6 - 5 = \bf 1}[/tex]

[tex]\huge\textsf{4 - (5 - (7)(1) + 7) + 4}[/tex]

[tex]\huge\textsf{7(1) = \bf 7}[/tex]

[tex]\huge\textsf{4 - (5 - 7 + 7) + 4}[/tex]

[tex]\huge\textsf{5 - 7 = \bf -2}[/tex]

[tex]\huge\textsf{4 - (-2 + 7) + 4}[/tex]

[tex]\huge\textsf{4 - 5 + 4}[/tex]

[tex]\huge\textsf{4 - 5 = \bf -1}[/tex]

[tex]\huge\textsf{-1 + 4}[/tex]

[tex]\huge\textsf{= \bf 3}[/tex]

[tex]\boxed{\boxed{\huge\textsf{{Therefore, your ANSWER is: 3}}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Someone help me please! I have to turn this in 35 minutes

Answers

take a picture of the whole problem dude

Answer:

I don't remember this well but I can tell you that they are corresponding angles. When there is a line that cuts two that are vertical and the angles are on the same side, they are as you see them, corresponding.

If each letter represents a different nonzero digit,what must Y be?

A. 7
B. 6
C. 9
D. 8​

Answers

Answer:

D

Step-by-step explanation:

With only 4 options, I substituted the possible numbers for Y. When substituting Y for 8, the right hand column wrote:

8 - Z = 4

Another way to think of this is 8 - 4 = 4.

When using 8, Z must equal 4.

Take this information to the left hand column.

8 - Z = Z

We know Z equals 4 so plug this information in. Is it correct?

8 - 4 = 4

This is correct.

Therefore, the answer is 8, or D.

Determine which quadrilaterals match the figure: parallelogram, rhombus, rectangle, or square? Select all
that apply.
w
IZ
Given: m 2WXY = 130°, m XWZ = 50°,mZWZY = 130°
B
rectangle
parallelogram
D
rhombus
square

Answers

Answer:

(A) Parallelogram is the right answer.

Use the rules of significant figures to simplify the following expression: 47.2 - 6

Answers

Answer:

41.2

Step-by-step explanation:

please marking brainlist 3+9y+2=

Answers

Answer:

It’s 14 due to the formules used

An isosceles triangle is shown. What is the measure of F?
A)32°
B)58°
C)64
D)Cannot be determined

Answers

Answer: A

Step-by-step explanation:

Answer: 64

Step-by-step explanation:

angles G and E are congruent, add 58 + 58 then subtract by 180 so sum up 64

Sally opens a bank account with $450. If she
earns 4% simple interest per year, how much
interest will she earn in 5 years if she doesn't add
or withdraw any money during that time? Please
type the steps that you use to solve this problem
below.

Answers

Answer: 540

Step-by-step explanation:

450 × .04 = 18

18 × 5 = 90

90 + 450 = *540*

Write an equation of the line with the given slope and y-intercept. slope: -3 y-intercept: -6​

Answers

Answer:

The equation of line with  slope: -3 and y-intercept: -6​ is [tex]\mathbf{y=-3x-6}[/tex]

Step-by-step explanation:

We need to write an equation of the line with the given slope and y-intercept. slope: -3 ,y-intercept: -6​

The general equation for slope-intercept form is: [tex]y=mx+b[/tex]

where m is slope and b is y-intercept.

We are given in the question:

slope: -3 y-intercept: -6​

So, we have slope m = -3 and y-intercept b = -6

Putting values in the slope-intercept form equation:

[tex]y=mx+b\\y=-3x-6[/tex]

So, The equation of line with  slope: -3 and y-intercept: -6​ is [tex]\mathbf{y=-3x-6}[/tex]

What is 3 divide by 148 but it’s LONG DIVISION. Please

Answers

Answer:

49 r. 3

[tex]3 \div 148 \\ 3 \div 14 = 4 \\ 3 \div 28 = 9 \\ \\[/tex]

the answer is 49 but since three can go into 148 evenly the remainder is 3

Please help me this is due today

Answers

Answer:

1. 15 (A)

2. 12 (G)

Step-by-step explanation:

1.  We can make an equation out of this...

    3x+3=48

    x is the age of Geoff which is what we are trying to find out

   

    We have to add 3 to both sides of the equation

    3x+3=48

         -3   -3

     ________

    we end up with 3x=45

     we then have to divide 3 by both sides because its the opposite of                

     multipling

    3x=45

    _____

         3

    we get x=15

2.   We can write a problem statement  

      (2 x 9)-6=?

       multiply 2 and 9 FIRST

     

       18-6=?

       your answer is 12

      Your Welcome! Have a great rest of your day! :)

 

       

     

Apartment buildings are required to have a fire extinguisher (extintor de incendios) every 600 feet. If a building has a total of 13,500 feet, how many fire extinguishers are needed?

Answers

Given:

Apartment buildings are required to have a fire extinguisher every 600 feet.

Height of building = 13,500 feet

To find:

The number of fire extinguishers are needed.

Solution:

Building needs a fire extinguisher every 600 feet.

Height of building = 13,500 feet

So, required number of fire extinguishers is

[tex]n=\dfrac{\text{Total height of building}}{600}[/tex]

[tex]n=\dfrac{13500}{600}[/tex]

[tex]n=\dfrac{135}{6}[/tex]

[tex]n=22.5[/tex]

Number of fire extinguishers cannot be negative.

[tex]n\approx 23[/tex]

Therefore, 23 number of fire extinguishers are needed.

Julie made $29 washing cars. This is $11 less than twice the amount
Julie made. How much money did Julie make?

Answers

Answer:

uhhhh 19$

Step-by-step explanation:cuz

Answer:

$20

Step-by-step explanation:

29 + 11 = 40

40 ÷ 2 = 20

Extending answer to be able to send.

Which of the following equations best represents the line of best fit for the data in the scatterplot?

Answers

Answer:

the answer is b bc the line is positive

Step-by-step explanation:

The equation that best represents the line of best fit is -

y = (1/2)x - 1

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the line of best fit for the data in the scatterplot.

The line passes through the points -

(0, - 1) and (2, 0).

Then, the slope will be -

m = 1/2

and the [y] - intercept is -1. So the equation that best represents the line of best fit is -

y = (1/2)x - 1

Therefore, the equation that best represents the line of best fit is -

y = (1/2)x - 1

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

Find the solution set of the inequality
Can you help please?

12-6x > 24

Answers

Answer:

x < -2

Step-by-step explanation:

Hey there!

The answer to your question is [tex]x < -2[/tex]

Tip: Remember to flip the inequality signs when you multiply/divide by a negative number!

[tex]12 - 6x > 24[/tex]

[tex]-6x > 12[/tex]           (Subtract 12 from both sides)

[tex]x < -2[/tex]              (Divide both sides by -6)

Hope it helps and have a great day!

A train moves at a constant speed. The train travels 13
miles in 7 hour. What is the train's speed in miles per
hour?

Answers

Answer:

1.86 Miles per hour

Step-by-step explanation:

13/7

Terri has a tepee. The tepee has a diameter of 9 feet and a height of 6 feet. What is the volume of the tepee to the nearest foot?

Answers

Answer:

yuop

Step-by-step explanation:

sdfghmnfv tnymu nhghbergfhthetdhtrsdfbgtgtsghrt

Pls help and explain why!

Answers

Answer:

A, SSS

Step-by-step explanation:

the 3 sides are equal with the other triangle

Answer:

SSS

Step-by-step explanation:

The triangles have three of the same sides, so it would be SSS.

Hope this helps!

Please mark me brainliest if possible. :)

Simple question for everyone
What shape figure is this? ​

Answers

Answer:

It's a parallelogram

Answer: Rhombus or a Parallelogram

8 cars (3 red, 3 blue, 2 yellow) are parked in a line, how many arrangements can be formed if all the cars of each colour are identical and the yellow cars must not be together

Answers

Answer:

the answer is 18. There are 18 ways to arrange the cars.

I need to know the graph points and how to graph it ASAP

Answers

Answer: for the first one it's the first picture and the second equation is the second picture

Step-by-step explanation: the pictures

the first one's coordinates are : (-0.4, -1)

the second one's coordinates are: (2,-6)

they are both dotted lines

Which option for college funding can parents start when children are still very young? College savings account scholarship work-study student loan

Answers

Answer:

Your answer would be A: "college savings account."

Step-by-step explanation:

Got it right on edge.

College savings account is the option  for college funding can parents start when children are still very young

What is College funding?

College financial aid pays for the difference between what a school costs to attend and the amount a family will pay from their own money.

We need to find Which option for college funding can parents start when children are still very young.

Among the two options we have to choose College savings account.

Through this savings plan, you can contribute more than a traditional savings plan and take out the money to pay for college-related expenses without any penalty or tax.

Hence College savings account option  for college funding can parents start when children are still very young

To learn more on College funding click:

https://brainly.com/question/18614442

#SPJ6


Mortgage loan of $46,000.00.
Interest rate is 5 percent.
Monthly payment is $269.10.
How much of the first monthly payment is for interest?

Answers

Answer: $191.67

Step-by-step explanation:

When paying back mortgages, the monthly payment has two components: an interest payment component and a principal repayment component.

The interest payment component is based on the total amount of debt still to be paid at the time and the principal repayment component is the rest of the payment after the interest has been deducted.

This interest is in a yearly rate so should be combined to a monthly rate as the payments are monthly:

= 5% / 12

= 5/12%

Interest = Mortgage remaining * interest rate

= 46,000 *  5/12%

= $191.67

x/12 + 1/3 =-5/3
What is the answer

Answers

Answer:

no

Step-by-step explanation:

no

Answer: x = -24

Step-by-step explanation:

1. (12) x/12 + (12) 1/3 = (12) -5/3 (multiply both sides of the equation by 12)

2. x + 4 = -20

3. x = -20 - 4 (move the constant to the right by subtracting 4 on both sides)

4. x = -20 - 4

5. x = -24 (add the numbers together)

Regular tickets cost 34.50 and vip tickets cost 78.50 a total of 810 tickets were sold, and a total ticket sales were 29,045. The equation 34.50r + 78.50 (810-r)= 29,045 can be used to determine the number of regular tickets r sold to the concert. How many of each type of ticket were sold?

Answers

Answer:Number of regular tickets=785

Number of VIP tickets=25

Step-by-step explanation:

Step 1

Cost of Regular tickets=34.50

Costs VIP tickets =78.50

Total tickets sold =810

Cost of both rockets sold=29,045

Using the the given equation that 34.50r + 78.50 (810-r)= 29,045 to determine the number of regular tickets, we have that

Step 2---Solving

34.50r + 78.50 (810-r)= 29,045

34.50+63,585 - 78.50r=29,045

63585-29045=78.50r-34.50r

34,540=44r

r=34540/44

r=785=Number of regular tickets

Number of regular tickets+Number of VIP tickets =810

Number of VIP tickets=810-785=25

Determine whether each equation represents a linear or non linear function, help me plzz

y=3x

y=4x-1

y=x²+1

y=0.75x+2

y=0.5x³

Answers

Answer:

y=3x - Linear Function

y=4x-1 - Linear Function

y=x²+1 - Non-Linear Function

y=0.75x+2 - Linear Function

y=0.5x³ - Non-Linear Function

(For a function to be linear, both x & y must equal 1.)

Myra gets paid at home for doing extra chores. Last week, she did 5 loads of laundry and 8 loads of dishes, and her parents paid her $18. The week before, she finished 4 loads of laundry and 6 loads of dishes, earning a total of $14. How much does Myra earn for completing each type of chore?

Answers

Answer: Laundry = $2

Dishes= $1

Step-by-step explanation:

Let the amount paid for doing laundry be x

Let the amount paid for doing dishes be y.

Based on the information in the question, this can be formed in an equation as:

5x + 8y = 18 ..... i

4x + 6y = 14 ...... ii

Multiply equation i by 4

Multiply equation ii by 5

20x + 32y = 72 ...... iii

20x + 30y = 70 ...... iv

Subtract iv from iii

2y = 2

y = 2/2 = 1

Dishes cost $1

Since 5x + 8y = 18

5x + 8(1) = 18

5x = 18 - 8

5x = 10

x = 2

Laundry cost $2

Please help this is due today!!

Answers

Answer:

ostailean Chan will food agam

someone help pls asap

Answers

Answer:

[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} + 2[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sqrt[3]{12x +1} + 4[/tex]

[tex]g(x) = log(x-3)+6[/tex]

Required

Determine (g - f)(x)

In functions:

[tex](g - f)(x) = g(x) - f(x)[/tex]

So, we have:

[tex](g - f)(x) = log(x-3)+6 - (\sqrt[3]{12x +1} + 4)[/tex]

Open bracket

[tex](g - f)(x) = log(x-3)+6 - \sqrt[3]{12x +1} - 4[/tex]

Collect Like Terms

[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} - 4+6[/tex]

[tex](g - f)(x) = log(x-3)- \sqrt[3]{12x +1} + 2[/tex]

Answer:

[tex]→(g - f)(x) = g(x) - f(x) \\ → (log(x - 3) + 6) - (\sqrt[3]{12x + 1} + 4) \\→ log(x - 3) + 6 - \sqrt[3]{12x + 1} - 4 \\→\boxed{ log(x - 3) - \sqrt[3]{12x + 1} + 2}✓[/tex]

D. is the right answer.

A a book is originally priced at $65 the online retailer gives a discount and the book is now priced at $52 into the percentage discount for the cost of the book.

Answers

Answer:

20%

Step-by-step explanation:

Original price = $65

Current price = $52

Discount = $65 - $52

Discount = $13

The percentage discount is calculated as:

Discount/Original price × 100

= $13/$65 × 100

= 20%

The percentage discount for the cost of the book is 20%

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