How many phone numbers without area codes are possible? the first digit cannot be zero or one.

Answers

Answer 1
Ok guys, let me explain in a way you can understand.

let’s say there’s 7 blanks :

_ _ _ _ _ _ _

the first can’t be 0 or 1 so that means that it can be 2,3,4,5,6,7,8,9 which is 8 numbers

Now we have settle what the first digit can or can’t be, there are 6 numbers left.

Because there are no more restrictions for phone numbers that don’t work (first digit can’t be one or zero was the only restriction), the question then becomes : How many 6 digit numbers are possible (000000) can count , well we know that the biggest 6 digit number is 999999 and the smallest is 000000. That means there are 999999–000000+1 numbers between them inclusive. For those of you that are curious how I got the plus one, when you are counting the amount of numbers between let’s say a and b inclusive, the amount of numbers between them inclusive is |a-b| +1. Example : The amount of numbers between 2 and 13 inclusive is just |2–13|+1 which is 12. 2,3,4,5,6,7,8,9,10,11,12,13 is 12 numbers so |a-b|+1 works for the amount of numbers between a and b inclusive.

Anyways, back to the problem. 999999–000000+1 means there are 1000000 or 1 million possible 6 digit numbers. But that’s not the answer to the problem because each 1 of those 1 million 6 digit numbers needs a 7th digit which and be any number from 2–8 . This means that you need to multiply 1000000 by 8 to get 8 million possible phone numbers. If your wondering why I multiplied by 8, let’s say the number abcdef is one of the possible 6 digit numbers. If you add a 7th digit 2–9 to our number abcdef, then our number abcdef can be 2abcdef, 3abcdef, 4abcdef, 5abcdef, 6abcdef, 7abcdef, 8abcdef, 9abcdef.

Just a quick side note for any misconceptions, when I say the number abcdef, I don’t mean a times b times c times d times e times f, I mean a is the number in the hundred thousands place, b is the number in the 10 thousands place, c is the number in the thousands place, d is the number in the hundreds place, e is the number in the tens place, f is the number in the ones place.

Back to the problem, because there are 8 possible numbers for the 7th digit (AKA the first number in the phone number) you need to multiply the 1000000 different 6 numbers by 8 because each of those numbers has 8 variations.

In summary, there are 8*1000000 or 8 million different phone numbers whose digits aren’t 0 or 1


Related Questions

.
Simplify: -8(13 – 5c + 12d)
a -104 – 5c + 12d
b -104 - 40c - 96d
c -104 -13c + 4d
d -104 + 40c – 96d

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Simplification ~

[tex] - 8(13 - 5c + 12d)[/tex]

[tex]( - 8 \times 13) + ( - 5c \times - 8) + ( - 8 \times 12d)[/tex]

[tex] - 104 + 40c - 96d[/tex]

Correct choice is D

Simplify: -8(13 – 5c + 12d)

= −8 (13−5c+12d)

= (−8×13) + (−5c×−8) + (−8×12d)

= - 104 + 40c - 96d

Correct option is D

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Answered by:-Cutest Ghost (・◡・)

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please help...... fast​

Answers

Answer:

SAS

Step-by-step explanation:

64 is 20% of what number?​

Answers

Answer:

320

Step-by-step explanation:

64 by 5 equals 320

Answer:

320

Step-by-step explanation:

Divide 64 by 0.2

Multiply.


[−8 ⋅ 4/11] ⋅ [(−0.1) ⋅ 22]


What is the product?


pls help!!!

Answers

The answer is 6.4
Fraction form: 32/5

Can someone please hurry and finish this question please!!!! Will give brainliest

Answers

Answer:

2b. R line is lower.

2c. It is lower because the y-intercept is negative.

Answer: ill take one for you john

Step-by-step explanation:

Please Help ASAP will give a brainliest the questions are in the photos
{HELP WITH MATH}

Answers

Answer:

its should almost be certainly be A

Step-by-step explanation:

PLEASE HELP MEEEE THIS IS DUE IN TEN MINUTES ALSO HOW THE HECK DO YOU CHANGE THE THING THAT SAYS COLLEGE BY UR NAME? IM IN FLIPPING EIGTH GRADE NOT COLLEGE!!!

Answers

this ain’t hard dw I’ll give you the answers :)

Here ya go :)

Answer:

1. 4.05 x 10^-4

2. 49,345,000

3. 2.357897 × 10^9

4 Which graph shows x and y in a proportional
relationship?
A y
35
30
25
20
15
10
5 5
0
0 1 2 3
4 5 6 7 8
B.
Helicopter
У
35
30
25
Height (meters)
20
15
10
5
0
0 1 2 3 4 5 6 7 1
Time (seconds)
C.
Tickets
y y
140
120
100
Cost (dollars)
80
60
10
20
0
0 1 2 3 4 5 6 7 8
Number of tickets
Pizzas
УГ
35
30
25
Cost (dollars)
20
15
10
5
0
0 1 2 3 4 5 6 7 x
Number of pizzas

Answers

Answer: I'm sorry, I dont really know but here are some notes to help you with this.

Step-by-step explanation:   https://www.hopewell.k12.pa.us/Downloads/Representing%20Proportional%20Relationship%20-%20NOTES%20COMPLETE2.pdf

   

If A = {1, 4, 5, 6, 7}, B={1, 2, 5, 8, 9} and C={3, 4, 5}
Then find A∪ B ∪ C

Answers

Answer:

A U B U C = {1,2,3,4,5,6,7,8,9}

Step-by-step explanation:

This is the correct form

Answer:

A={1,4,5,6,7}

B={1,2,5,8,9}

C={3,4,5}

AUBUC= all elements of A,B,C

={1,2,3,4,5,6,7,8,9}

IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
Your help will be much appreciated because i am losing my sanity doing this math

Answers

c-9

to find the amount of parents in the room we'd have take away the amoutn if children in the room from the total amount of people

25-9

thus, your expression to represent the amount of parents would be

c-9

Hope this helped you- have a good day bro cya)

What is the slope of the line that contains these points

Answers

Answer:

Slope = - 5

Step-by-step explanation:

Let,

x1 = 13

x2 = 14

y1 = 11

y2 = 6

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( 6 - 11 ) / ( 14 - 13 )

          = - 5 / 1

Slope = - 5

Answer:

[tex]\boxed{\sf slope:-5}[/tex]

Step-by-step explanation:

Slope :

[tex]\boxed{\sf m=\cfrac{rise}{run} =\cfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\sf ^*m=slope[/tex]

[tex]\sf (x_1, y_1): first \: coordinates[/tex]

[tex]\sf (x_2, y_2): second\: coordinates[/tex]

___________________

[tex]\sf \left(x_1,\:y_1\right):\left(13,\:11\right)[/tex]

[tex]\sf \left(x_2,\:y_2\right):\left(14,\:6\right)[/tex]

[tex]\sf slope\:(m)=\cfrac{6-11}{14-13}[/tex]

[tex]\sf slope\:(m)=-5[/tex]

____________________


Ben can paint 280 square feet in 12 minutes. How many square feet can he paint in 1 hour?

Answers

Answer:

1400 sq. ft

Step-by-step explanation:

60 min = 1 hour

280 sq. ft / 12 min = x / 60 min

x = 60 min * (280 sq. ft / 12 min)

minuets cancel out

x = 1400 sq. ft

This​ week, 951 people went to the beach. Last​ week, 1,173 people went to the beach. The number of people who went to the beach fell by what​ percent?
HELP ME PLS

Answers

It fell by 19%
Use 1173 as your total and then find the percent from 951 and subtract from 100 and that’s the percent that fell

Was the HOA president right for doing so? What other factors could have contributed to both the rise in ice cream sales and murders? Is this an example of correlation or causation?

Answers

Answer:

No, the HOA president was wrong because both murder and ice cream sales spiked during the summer months but slowly decreased during months in the spring, fall and winter times. This is an example of causation.

Step-by-step explanation:

I wouldn't put exactly that because i put that on mine but here's an idea!

Hope this helps! <3

Have a nice day/night!

What is the system of measurement used most often in the United States?
customary
converted
metric
similar

Answers

metric is the system of measurement used most often in the United States

The sum of three numbers is 99. The third number is 3 times the first . The second number is 9 more than the first. What are the numbers?

Answers

Answer: This can be written as x + (x-9) + 3(x-9) = 99

5x - 36 = 99

5x = 135

x = 135/5 = 27

You can now just plug in the value of x for each of the initial terms to get:

n1 = 27

n2 = 18

n3 = 54

Step-by-step explanation:

Need help with number 2 and 3

Answers

Answer:

2. SSS ( Side-Side-Side)

please help ME I BEG YOU​

Answers

Step-by-step explanation:

I think it is 44.

if wrong forgive me.

hope this helps.

Answer:

44

Step-by-step explanation:

1. To round a number to the nearest 10, look at the ones-digit. If the digit is 5 or more, round up (raise the score). If the digit is 4 or less, round down (let it rest).

2. The ones-digit in 44 is 4 or less, meaning we round down. The 4 in the ones-place becomes zero, and therefore, rounds to 40.

Therefore, the answer is 44.

Stefan's family raises honey bees and sells the honey at the farmers' market. To get ready for market day, Stefan fills 24 equal sized jars with honey. He brings a total of 16 cups of honey to sell at the farmers' market.

Answers

Answer:

Have you ever wondered how a tiny little insect like a bee could ever fill a jar of honey? If it were just down to one bee it would be a mighty task but the work is shared by many thousands of bees and is a great example of what can be achieved by a co-ordinated effort. Think of it in terms of humans creating something like a pyramid.

A jar of honey weighs 454 grammes and a bee can carry about 0.04 grammes of nectar. But nectar is only about 40% sugar and honey needs to be about 80% sugar so the bee actually only carries about 0.02 grammes of honey on each trip.

Step-by-step explanation:

Find the Area of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place


Answers

Hi,

Recall that the area of a parallelogram is the product of the base b and the height or "altitude" h. So the formula is : b * h. b = 20 here, and h = 6, so we get : 20 * 6 = 120.

Now we have to compute the area of the semicircle, remember the formula for the area of a circle is : πr² where r is the radius of the circle. If we watch the figure, we already have the value of the diameter d = 8. So the radius is equal to half the diameter : r = 8 /2 = 4

Now applying the formula we get : πr² = π * 4² ≈ 50.3 rounded to the nearest tenth place.

But we don't wont the area of the circle, we want half the area of it, since it's a semicircle : πr² / 2 ≈ 25.1 rounded to the nearest tenth place.

Now to get the whole area of the figure, we need to sum the area of the parallelogram with the area of the semicircle : 120 + 25.1 ≈ 145.1 rounded to the nearest tenth place.

Good Luck

please help me with this sum​

Answers

Answer:

Step-by-step explanation:

2. 3 × 12 = 3 × 2 × 6 = 3 × 2 × 2 × 3

3. 4 × 9 = 2 × 2 × 3 × 3

4. 6 × 6 = 2 × 3 × 2 × 3

please give me a brainliest answer

Step-by-step explanation:

2. 36 = 3 × 12 = 3 × 2 × 6 = 3 × 2 × 2 × 3

3. 36 = 4 × 9 = 2 × 2 × 3 × 3

4. 36 = 6 × 6 = 2 × 3 × 2 × 3

SOLVE ASAP!!!!! NO LINKS!!!!!!∛²³1 + 4 x -96

Answers

Answer:

All i got was 3√23+4x−96

Step-by-step explanation:

Helppppppp plzzzzzzz

Answers

Answer:

102°

Step-by-step explanation:

Angles in a straight line is added up to 180°

So,

Angle 1 + Angle 2 = 180°

Given that,

Angle 2 = 78°

We can find angle 1

Let us find,

Let the angle 1 be x

[tex]x+78=180\\x=180-78\\x=102[/tex]

As a and b lines are parallel,

Angle 1 = Angle 5 (Corresponding angles)

Also we already found the angle 1

So,

Angle 5 = 102°

Hope this helps you.

Let me know if you have any other questions :-)

5) Add using Place-Value diagrams: 215 six + 43 six

Answers

As I understand, we want to perform the given sum by adding the correspondent place values.

Using this method, we will see that the value of the sum is 258.

First, we define the place values as the value that each "position" has, where the reference is the decimal point.

The first place at the left of the decimal points is the units digit.

The second is the tens digit, and so on.

With this, we can rewrite te twi given numbers as:

215 = 2*100 + 1*10 + 5*143 = 4*10 + 3*1

Then the sum can be done as:

215 + 43

(2*100 + 1*10 + 5*1) + ( 4*10 + 3*1)

2*100 + (1 + 4)*10 + (5 + 3)*1

2*100 + 5*10 + 8*1 = 258

Then we have:

215 + 43 =  258

If you want to learn more, you can read:

https://brainly.com/question/1858248

What ratio is equivalent to 9:6 ?

12:8
7:4
3:1
15:10

Answers

Answer:

15:10

Step-by-step explanation:

15:10 can be reduced into 3:2 by dividing with 5

and 9:6 can be reduced to 3:2 by dividing with 3

keep smiling.

Answer:

D

Step-by-step explanation:

just got in edg 2021

Simplify the following integer exponents:​

Answers

For question 1 simplifying integer exponents :
1) 729
2) 1/625
3)1

NO LINKS!!! Part 1: y = x^3

Shape:
Domain:
Range:
Locater point:​

Answers

Answer:

Shape: Not sure what to put

Domain: ( -oo, oo )

Range: ( -oo, oo )

Locater point: ( 0, 0 )

Step-by-step explanation:

Shape - You have the shape on the graph

Domain and Range - Both go on forever since there is no hole/interruption

Locater Point: I would say origin because it is the closest thing to a vertex, which is an example of a locater point.

Hopefully this helps!

Brainliest please?

Two bicyclist are 180 miles apart when they start racing towards each other. If their speeds are 14 mph and 16 mph respectively, how long will it be before they are twenty miles apart? I WILL MARK AS BRANLIEST IF YOU GOT THIS CORRECT!

Answers

Answer:

5 hours 20 minutes

Step-by-step explanation:

Distance traveled to be 20 miles apart

180 - 20 = 160 miles

Combined speed

14 + 16 = 30 mph

time = distance / speed

t = 160/30

t = 5 1/3 hours

t = 5 hours 20 minutes

Answer:

5 hours and 20 minutes

Step-by-step explanation:

it will take them 5 hours and 20 minutes.

A coin is tossed 10 times, find the probability of getting seven heads.

Answers

Answer:

7/10 or 70%

Step-by-step explanation:

because 10/10 is 100%-----> so 7/10----> 70%

DO NOW: What is the surface area of the cube? 4 in 4 in 4 in​

Answers

Answer:

96 in^2.

Step-by-step explanation:

It has 6 surfaces each of area 4*4 = 16

Answer is 6*16 = 96.

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