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

what expression is equivalent to 2m (32m + 1) + 3 (53 - 2)

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Answer:

64m2+2m+255

Step-by-step explanation:

What is the solution for the system of equations shown in the graph?WILL GIVE BRAINLY IF ANSWER

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Answer:

(2,4)

Step-by-step explanation:

thats the point where both lines meet

What is the slope of the line x = 4?

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Answer:

its undefined

Step-by-step explanation:

Which has a greater slope (Rate of change)?

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the table

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Answer:

The graph

Step-by-step explanation:

The graph has a slope of 2 while the table has a slope of 1.

2-1/6/5=1/1=1

2>1

How do you know that ∠x ≅ ∠y?
Question 21 options:

Vertical angles are congruent.

Opposite angles are congruent.

Reflexive angles are congruent.

Inverse angles are congruent.

Answers

Answer:

opposite angles are congruent

Step-by-step explanation:

angle x and angle y are opposite angles

what's the value of x 16x+9​

Answers

Answer:

x2+16x=9 x 2 + 16 x = 9. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b b . (b2)2=(8)2 ( b 2 ) 2 . x^2+16x+9=0

Step-by-step explanation:

if this is not

A train at the local fair is 6 feet long. This 1.10 scale of an actual passenger train. You want to draw a mural that includes a 1;30 scale picture of the actual passenger train.​

Answers

Answer:

Step-by-step explanation:

Round answers to three decimal places. Area of 1st rectangle =0.022 Area of 2nd rectangle = Area of 3rd rectangle = Area of 4th rectangle = Area of 5th rectangle = Area of 6th rectangle = Total area =

Answers

Answer:

Total area ≈ 0.082 ​

Step-by-step explanation:

Round answers to three decimal places.

Area of 1st rectangle = 0.032

Area of 2nd rectangle =25 x 0.000863

= 0.022

Area of 3rd rectangle = 0.014

Area of 4th rectangle = 0.008

Area of 5th rectangle = 0.004

Area of 6th rectangle = 0.002

Total area = 0.082 ​

Rounding up to 3 decimal places: this means 3 numbers after the decimal point

Area of 1st rectangle ≈ 0.032

Area of 2nd rectangle ≈ 0.022

Area of 3rd rectangle ≈ 0.014

Area of 4th rectangle ≈ 0.008

Area of 5th rectangle ≈ 0.004

Area of 6th rectangle ≈ 0.002

Total area = 0.032 + 0.022 + 0.014 + 0.008 + 0.004 + 0.002

= 0.082

Total area ≈ 0.082 ​

Answer:

Round answers to three decimal places.

Area of 1st rectangle =0.022

Area of 2nd rectangle =  

⇒ 0.014

Area of 3rd rectangle =

⇒ 0.008

Area of 4th rectangle =

⇒ 0.004

Area of 5th rectangle =  

⇒ 0.002

Area of 6th rectangle =

⇒ 0.001

Total area =  

⇒ 0.051

Step-by-step explanation:

edg 2021

On a certain hot​ summer's day, 291 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $472.50 How many children and how many adults swam at the public pool that​ day?

Answers

Answer: 219 children and 72 adults swam at the public pool that day.

Step-by-step explanation:

Let x = Number of children , y= Number of adults.

As per given,  x+y = 291      (i)

1.5x+2y = 472.50         (ii)

Multiply 2 on both sides of (i) , we get

2x+2y = 582  (iii)

Eliminate (ii) from (iii), we get

0.5x = 109.5

[tex]\Rightarrow x=\dfrac{109.50}{0.5}=219[/tex]

Put value of x= 219 in (i)

219+y= 291

⇒ y = 291-219 = 72

Hence, 219 children and 72 adults swam at the public pool that day.

Two hikers are miles apart and walking toward each other. They meet in hours. Find the rate of each hiker if one hiker walks mph faster than the other. The speed of the slow hiker is nothing ​mph, and the speed of the fast hiker is nothing mph.

Answers

Complete question : Two hikers are 33 miles apart and walking toward each other. They meet in 5 hours. Find the rate of each hiker if one hiker walks 2.2 mph faster than the other. The speed of the slow hiker is nothing ​mph, and the speed of the fast hiker is nothing mph.

Answer:

2.2 mph ; 4.4 mph

Step-by-step explanation:

Given that :

Total distance apart = 33

Time taken = 5 hours

Rate of slow hiker = x

Rate of fast hiker = x + 2.2

Speed (rate) = distance / time

Distance = speed * time

Distance covered by fast hiker + distance covers by slow hiker

(x + 2.2)*5 + 5x = 33

5x + 11 + 5x = 33

10x = 33 - 11

10x = 22

x = 22 / 10

x = 2.2

Rate of slow hiker = 2.2 mph

Rate of fat hike = x + 2.2 = 2.2 + 2.2 = 4.4 moj

Write the correct answer. Euros are currency used in several European countries. On one day in October 2005, you could exchange $3 for about 2.5 euros. How many dollars would you have needed to get 6 Euros?

Answers

Answer: 7.2 $ will be needed to get 6 Euros.

Step-by-step explanation:

Given : 3$ could be exchanged for 2.5 euros

That means :

To get 2.5 euros , dollars needed are = 3$

By using Unitary method:

To get 1 euro , dollars needed are = [tex]\frac{3}{2.5}[/tex] $

To get 6 euros , dollars needed are =  [tex]\frac{3}{2.5}\times 6=7.2[/tex] $

Thus 7.2 $ will be needed to get 6 Euros.

El señor Antonio Rodríguez compro en efectivo una televisión de plasma de $138,860.00. Le otorgan un descuento de la 20% ¿Cuanto pago por la televisión?

Answers

Answer:

$111,088

Step-by-step explanation:

Paso 1

Encuentra el descuento

Costo de la televisión de plasma = $ 138,860.00

Porcentaje de descuento = 20%

Descuento = 20% × $ 138,860

Descuento = $ 27,772

Paso 2

¿Cuánto pago por la televisión?

Esto se calcula como:

$ 138,860 - $ 27,772

= $ 111,088

Por lo tanto, la cantidad que paga por la televisión es de $ 111,088

A Cinema has 240 seats. 144 seats were sold for the current movie. What percent of seats are empty?

Answers

240 - 144 = 96

96/240 = 0.4 = 40%

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Answers

Answer:

Number of boards= 85

Step-by-step explanation:

Giving the following information:

Total wood required= 637.5 feet of wood

The baseboards are sold in 7.5-foot lengths.

To calculate the number of boards, we need to use the following formula:

Number of boards= total wood required / foot per board

Number of boards= 637.5 / 7.5

Number of boards= 85

Your factory installed tires have a comfort that 95 inches if the odometer reading reading is 32,000 miles on your car you have tires with a conference have 103 inches how many miles have you actually traveled

Answers

Answer:

The correct solution is "35440.8".

Step-by-step explanation:

The given values are:

Bigger tire's circumference,

= 103 inches

Factor installed tire's circumference,

= 95 inches

Odometer reading,

= 32,000 miles

As we know,

⇒ [tex]Actual \ distance = K\times odometer \ reading[/tex]

Where,

⇒ [tex]K = \frac{Bigger \ tier \ circumference}{Factor \ installed \ tier \ circumference}[/tex]

i.e.,

⇒ [tex]K=\frac{103}{95}[/tex]

On applying the formula,

⇒ [tex]Actual \ distance \ travelled=\frac{103}{93}\times 32,000[/tex]

⇒                                           [tex]=35440.8[/tex]

452.88 is 74% of what number? (Please show work)

Answers

Answer:

612

Step-by-step explanation:

To find this answer, you can invert the equation:

452.88 = 0.74x

x = 452.88 / 0.74

x = 612

The number 452.88 is 74% percentage of the number 612.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

We have to find the number of 452.88 is 74%

Let x be the number

74/100×x=452.88

74x/100 = 452.88

Multiply both sides by 100

74x=45288

Divide both sides by 74

x=45288/74

x=612

Hence, 452.88 is 74% of the number 612.

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x3−2=10 help plz i need help

Answers

x=4
This is because
(4)3-2=10
12-2=10
10=10
This makes the statement true!
Hope this helps have a good day!

What is the area of this figure?
10 cm
7 cm
6 cm
17 cm
10 cm
4cm

Answers

Answer:

285,600

Step-by-step explanation:

I calculated it I am pretty sure I am correct

Answer:

110

Step-by-step explanation:

I split the shape into smaller pieces and got 10 for the width and 7 height I multiplied them and got an area of 70 for the first shape. For the second I got the width of 4 and length of 10 multiply them and you'll get 40. Last add them and you get 110 cm.

A triangle has angles that measure 40° and 80°. What is the measure of the third angle of the triangle?
Enter the correct answer in the box. (Be sure to attach the degree symbol to your answer.)

Answers

Answer:

60°

Step-by-step explanation:

The sum of all three triangle angles add up to 180°. To solve for the last angle, add the sides you know together and subtract the sum from 180. This will leave you with the third angle's measurement,

40 + 80 = 120

180 - 120 = 60

The third angle of the triangle is 60°

What is a triangle?

A polygon with three angles, side, and vertices is called a triangle.

Given that, a triangle has angles that measure 40° and 80°.

We know that the sum of the interior angles of a triangle is 180°

Let the third angle be x,

40° + 80° + x = 180°

x = 180°-120°

x = 60°

Hence, the third angle of the triangle is 60°

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Find the values of x and y.

Answers

Answer:

x=30° y=5

Step-by-step explanation:

All sides of the top triangle are equal. And all angles are equal Since it's an equilateral triangle.

so

8y=40

y=40/8

y=5

Since it's an equilateral triangle. All angles are equal And each angle has dimensions

=180°/3=60°

The angle of the straight line = 180°

so The obtuse angle of the lower isosceles triangle is 180°-60°=120°

The angles at the base of the isosceles triangle are equal

so 2x° = 180°-120°

2x°=60°

x°=60°/2

x°=30°

Find Missing side lengths

Answers

Answer:

On the side length of the triangle

Step-by-step explanation:

On the side length of the triangle

First answer is correct

One day, a person went to a horse racing area. Instead of counting the number of humans and horses, he counted 74 heads and 196 legs. How many humans and horses were there?
A. 37 humans and 98 horses
B.24 horses and 50 humans
C. 31 horses and 74 humans
D. 24 humans and 50 horses

Answers

Answer: B: The person counts 24 horses and 50 humans.

Answer:C

Step-by-step explanation:

The area of a circle is 9π
if and only if, its radius is 3.
true or false

Answers

true :) hope this helps

Find the roots for y = (2x-3)(x+5) (The x values)

Answers

Answer:

x = [tex]\frac{3}{2} , -5[/tex]

Step-by-step explanation:

We know that we have to find the roots of the equation - which is another way of saying the x-intercepts, or the points that are on the x-axis that the graph passes through. All points on the x-axis have a y-value of 0. So, in order to find the roots for this equation, we need to find which values of x make the y equal 0.

The equation has already been factored out. So, we just need to find which values of x for each of the expressions in the parentheses will make the result 0. To do this, set the expressions in the parentheses to 0 and isolate x.

1) First, let's look at (2x-3). Write the equation 2x-3 = 0. Then, isolate x:

[tex]2x-3 = 0\\2x = 3\\x = \frac{3}{2}[/tex]

Therefore, [tex]\frac{3}{2}[/tex] is one of the roots.

2) Next, let's look at (x+5). Write the equation x+5 = 0. Then, isolate x:

[tex]x+5 = 0\\x = -5[/tex]

Therefore, -5 is a root as well.

The roots of the equation would be [tex]\frac{3}{2}[/tex] and -5.

hiii please help! i’ll give brainliest if you give a correct answer tysm!

Answers

answer

8/25

Step-by-step explanation:

so you would keep the first fraction (2/15) then you would change the symbol then you would flip the other fraction (5/12). then you would multiply 2*12=24 and 15*5=75. then you would simplifie it. it would be 8/25.

In the chemical formula 2SO2, how many total atoms of oxygen (O) are there?​

Answers

Answer:

4

Step-by-step explanation:

2 molecules of SO2

each molecule contains 2 atoms of Oxygen

Answer:

Step-by-step explanation:

Pls help ple help pls help

Answers

p-24=15

because if argentina has 15 more than south africa then you need to subtract 24-15=p which is pretty much the same things as p-24=15

and if you need to know how many provinces south africa has then 9 provinces should be your answer
It would be D or it would be 9

HELP ASAP

a country's population in 1993 was 85 million.
In 1996 it was 90 million. Estimate
the population in 2015 using the exponential
growth formula. Round your answer to the
nearest million.

Answers

129 million I took the application already

Which of the following will not translate as a mathematical

question three times a number equals fifteen.

two less than a number is equal to twelve.

Six Plus the number is seven.

A number divided by eight, Plus four.



PLEASE HELP ME FAST

Answers

Answer:

a number divided by eight, plus four

The answer is divided by eight plus four

Which pairs of figures are congruent? Which pairs are similar?

Answers

Answer:

put a picture with the question and I can help you

Answer:

Where’s the pic

Step-by-step explanation:

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