A telephone number has the form NXX-ABC-XXXX. Today N is 2-9, and X is 0-9. However, there are exceptions as 37X and 96X are reserved for future use. Additionally N9X is reserved for expanding the total numbers at a later date. Finally, N11 is reserved for service numbers. How many total area codes are currently available given this information?

Answers

Answer 1

Answer:

The total area codes that are currently available is 692.

Step-by-step explanation:

The area code is of the form: NXX.

The variable N can take values,

N = {2, 3, 4, 5, 7, 8 and 9}

The variable X can take values,

X = {0, 1, 2, 3, 4, 5, 7, 8 and 9}

Considering that repetitions are allowed.

The total possible number of area codes is:

T = 8 × 10 × 10 = 800

So, there are 800 possible area codes.

The exception codes are:

{37X, 96X, N9X and N11}

There are 10 possible combinations for 37X.There are 10 possible combinations for 96X.There are 80 possible combinations for N9X.There are 8 possible combinations for N11.

So, the number of reserved area codes is, 10 + 10 + 80 + 8 = 108.

Then the area codes that are currently available is, 800 - 108 = 692

Thus, the total area codes that are currently available is 692.


Related Questions

Foot Locker is having a sale. Buy 1 pair of Nikes for 200.00 and you get a 20% discount off the second pair. If the sales tax is 4%, how much is the first pair of Nikes?

Answers

Answer:

208

Step-by-step explanation:

200*.04=8

200+8=208 (for the first pair)

Given that m=r-s/2nr

Make r the subject .

PLEASE I NEED IT NOW.

THANK YOU . WHOEVER ANSWERS FIRST I WILL GIVE A FOLLOW AND BRAINLIEST

Answers

Step-by-step explanation:

[tex]m = \frac{r - s}{2nr} [/tex]

m(2nr) = r-s

2×n×r×m = r-s

move the r on the right side to the left side

2nrm - r = -s

r ( 2nm - 1 ) = -s

[tex]r \: = \frac{ - s}{(2nm - 1)} [/tex]

Answer:

I think it will help you

True or False: Every number has a limited amount of factors, but an unlimited amount of multiples. ​

Answers

Answer:

False

Step-by-step explanation:

0 has unlimited numbers of factors because 0 times everything equals 0. If 0 is not included then the statement is true.

Two men can do a work in 4 days and 6 days respectively how many days will it take if they work togatherpls tell with steps ill mark brainlist

Answers

Answer:

The answer is 12/5 days

Step-by-step explanation:

The First Man (FM) takes 4 days to complete the work

In one day he does (1/4)th portion of the work

The Second Man (SM) takes 6 days to complete the work

In one day he does (1/6)th portion of the work

The FM and SM together do [ (1/4 ) + ( 1/6) ] th portion of the work

So , [ (3+2 )/12] = ( 5 / 12 ) = 5/12 th portion in one day

Hence, FM and SM together complete the work in 12/5 = 2.4 days

A caterer is planning a party for 64 people. The customer has $150 to spend. A $39 pan of pasta feeds 14
people and a $12 sandwich tray feeds 6 people. How many pans of pasta and trays of sandwiches should the
caterer make?

Answers

P-is pasta
S-is sandwich

DO NOT AWNSER IF YOU DON'T KNOW
WILL GIVE BRAINLIEST, LIKE, COMMENT, AND 10 POINTS
Could you please help me with this question and explain thoroughly?

Answers

Answer:

Please don't hold me to this. I think I'm right, but I'm rusty.

Step-by-step explanation:

Constant of proportionality is how much the graph grows for each increasing x value. Slope.

Also remember, rise over run.

Slope: 2nd y- 1st y

           2nd x-1st x

y=mx+b

A) 4.95-3.75      =            1.2                 =            about $0.09 per ounce (x=0.9)

    24-10                          14

For every 14 oz, the cost goes up $1.2.

B) 360-150        =            210               =                  15 calories per ounce (x=15)

     24-10                          14

For every 14 oz, there are 210 calories in the drink.

Which of the following situations have a sum of zero? Select all that apply.

1. Shawna spends $20 on materials to make bracelets for her friends. She then earns $20 from selling the bracelets.

2. A diver dove down 20 1/4 feet under water and then descended 20 1/4 feet.

3. A golfer shot 2 over par (+2) on a hole. They then then shot 2 under par (−2) on the next hole.

4. You have $5.50 in your pocket and then you receive $5.50 for doing your chores.

Answers

I’m pretty sure it’s 1. And 2.
The first and the third.

(-10) + -7)
find each sum?

Answers

Answer:

-10 + (-7)= -17

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

-10 plus -7 is -17

List all factors of 44

Answers

Answer:  Factors of 44: 1, 2, 4, 11, 22, 44

Step-by-step explanation: coz I juss know

Absolute value is DISTANCE. How many units a number is away from zero.

a.) 3
b.)4
C.) -3
d.) -4

Answers

I believe it is B) 4

The number line is going by .5 per space and there are 8 spaces in the red line segment. You can then do 8 x .5 and you will get 4.


Sally is 6 years older than Ali. Together the sum of their ages is 34. How old is each of them?

Answers

Answer:

34-6=?

Step-by-step explanation:

34-6=?

Answer:

Ali is 14

Sally is 20

Step-by-step explanation:

let's call Sally S.

let's call Ali A.

using what's given, you can make this equation:

A + 6 = S

(because Ali is 6 years younger than Sally)

you can also make this equation:

A + S = 34

(because the sum of their ages is 34)

now, substitute S for A + 6.

A + A + 6 = 34

2A + 6 = 34

subtract 6 from both sides of the equation

2A + 6 - 6 = 34 - 6

2A = 34 - 6

2A = 28

divide both sides of the equation by 2

2A/2 = 28/2

A = 28/2

A = 14

almost done! now you just need to substitute A for 14 in the first equation.

A + 6 = s

14 + 6 = s

20 = s

Ali is 14

Sally is 20

for how many tickets is the cost the same for club members and non-members?​

Answers

Answer:

The cost will be the same for 2 club members as for 1 non-member.

Step-by-step explanation:

There will never be a number of tickets where the price for a given number of club members is the same for the same number of non-members.

However, if two club members purchase tickets, their cost is 2($3) = $6.

If one non-member purchases a ticket, the cost is 1($6) = $6.

Please help me this is my first assignment in math

Answers

Answer:

1,2,3 are Natural Numbers

Step-by-step explanation:

May i please get brainiest.

The answer:

Natural Numbers

Sarah has $12.45 in quarters and nickels. She has 39 more nickels than quarters.

How many of each coin does she have?

Answers

Answer:

There are 14 nickes, 24 dimes and 48 quarters

Step-by-step explanation:

let x represent the number of nickels.

As she has 10 more dimes than nickels, the number of dimes is x + 10.

As she has twice as many quarters as dimes, the number of quarters is 2(x + 10)

the total value is $15.10, so I get an equation:

0.05x + 0.1*(x + 10) + 0.25*2(x + 10) = 15.10

0.05x + 0.1x + 1 + 0.5x + 5 = 15.10

0.65x = 9.1

x = 14

x + 10 = 24

2(x + 10) = 48

PLZ ANSWER THIS QUICK! THANKS!

Answers

Answer:

a) 300m

b) 15 miles

Step-by-step explanation:

a) 1 : 30 000

=  1x 30 000

=  30 000cm

=  30 000cm/ 100                           Representing in metres

=  300m

b) 1 : 6

=  1x 2.5 : 6x 2.5

=  2.5 : 15

=  15 miles

rewrite the quadratic function f(x) = (2x -3)(x+4) in standard form

Answers

Answer:

f(x) = 2x^2+5x-12

Step-by-step explanation:

Can you please find the missing side these are similar figures.

Answers

Answer:

1.108

2.4

3.6

4.28

5.80

6. 10.5

hope this will help you

Jocelyn bought 11 chicken wings for $18.70. What was the cost of the wings, in dollars per wing?

Answers

1.7 per you divide 18.70 by 11

Answer:

$1.70 per wing

Step-by-step explanation:

To find the cost per wing, take the total cost and divide by the number of wings

18.70/11

$1.70 per wing

-4j-1-5j+6= pls help me

Answers

Hello

Answer:

-9j+5

Step-by-step explanation:

=-4j-1-5j+6

=-4j-5j+6-1

=-9j+5

The amount of fuel remaining in a gas grill is a function of the number of hours, h that the grill has been used. This relationship can be expressed by the function below. F(h) = 100 - 2h Determine and represent the domain of this function for the problem situation using inequality notation.

Answers

Given:

The amount of fuel remaining in a gas grill is a function of the number of hours.

[tex]F(h)=100-2h[/tex]

To find:

The domain for this situation.

Solution:

Domain is the set of input values.

The amount of fuel remaining in a gas grill F(h) is

[tex]F(h)=100-2h[/tex]

where, h is the number of hours.

Here, domain is the set of all possible values of h.

We know that, time and remaining fuel cannot be negative. So,

[tex]h\geq 0[/tex]      ...(i)

[tex]F(h)\geq 0[/tex]

[tex]100-2h\geq 0[/tex]

[tex]100\geq 2h[/tex]

[tex]50\geq h[/tex]       ...(ii)

Using (i) and (ii), we get

[tex]0\leq h\leq 50[/tex]

Therefore, the domain of the given function is [tex]0\leq h\leq 50[/tex].

Cylinder A is mathematically similar to cylinder B. The height of cylinder A is 10cm and its surface area is 440cm2​ ​. The surface area of cylinder B is 3960cm2​ ​. Calculate the height of cylinder B

Answers

Answer:

[tex]440 = 2\pi {r}^{2} + 2\pi(r)10 \\ [/tex]

[tex]3960 = 2\pi {r}^{2} + 2\pi(r)h[/tex]

[tex] \frac{3960 = 2\pi {r}^{2} + 2\pi(r)h}{440 = 2\pi {r }^{2} + 2\pi(r)10 } [/tex]

[tex]9 = \frac{h}{10} [/tex]

h=90

The height of the cylinder B is 30 cm.

Given that:

Both cylinders A and B are similar. Similarity applies proportionate size which means we have

height of cylinder A : radius of cylinder A ::  height of cylinder B: radius of cylinder B

or symbolically we have:

[tex]$\frac{h_1}{r_1} = \frac{h_2}{r_2}$\\[/tex]

or we can say we have:

[tex]r_2 = h_2\times\dfrac{r_1}{h_1} \\[/tex]                    

Now it is given that Cylinder A's height [tex]h_1[/tex] is 10 cm and surface area is [tex]400\rm \;cm^2[/tex]

Thus from the formula of surface area of cylinder , we have below equation for cylinder A:

[tex]2\pi \times r_1 \times 10 = 440\\or\\r_1 = \dfrac{440}{20\pi}\\\\r_1 \approx 7 \rm\: cm\\\\\\[/tex]

Also given surface area of cylinder B is 3960 [tex]\rm cm^2[/tex], thus:

[tex]2\times \pi\times r_2 \times h_2 = 3960\\\\\2\times\pi\times (h_2\times\dfrac{r_1}{h_1})\times h_2= 3960\\\\2\times\pi\times (h_2\times\dfrac{7}{10})\times h_2 = 3960\\or\\ (h_2)^2 = \dfrac{39600}{2\times\pi\times7}\\\\or\\h_2 = 30 \rm \;cm.[/tex]

Thus height of the cylinder B is 30 cm.

For more information, refer to this link:

https://brainly.com/question/1037971

which expression represents this model?

Answers

Answer:

3-6 I think

Step-by-step explanation:

3-6
3 yellow
6 red
I’m pretty sure

which is the following solution to
x-13<18

Answers

Answer:

X < 31

Step-by-step explanation:

Answer: X<31

Hope this helps!

will give brainliest !!

Answers

Answer:

$672

Step-by-step explanation:

Answer: 42

Step-by-step explanation:

I think hope this helps

Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true statements. Original Segment EF is twice as long as segment AB. Segment CD is twice as long as segment FG The Measure fo Angle HEF is twice the measure of Angle DAB. The area of EFGH is twice the area of ABCD

Answers

The question is incomplete. Here is the complete question.

Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true statements.

A. Segment EF is twice as long as segment AB.

B. Segment CD is twice as long as segment FG

C. The measure of angle HEF is twice the measure of angle DAB

D. The length of segment EH is 16 units.

E. The area of EFGH is twice the area of ABCD.

Answer: A. Segment EF is twice as long as segment AB

              D. The length of segment EH is 16 units

              E. The area of EFGH is twice the area of ABCD

Step-by-step explanation: One quadrilateral which is scaled copy of another quadrilateral means both quadrilateral are similar, i.e., they have congruent angles (same angles) but different sides lengths.

Comparing side GH with side CD, you notice GH's length is twice the side CD. This relationship between each corresponding sides is called scale factor.

Analysing statements above:

A. This statement is correct because segments EF and AB are corresponding sides, so EF will be twice as much as AB;

B. This is incorrect because they are not corresponding sides, so they are not related;

C. Is incorrect because measure of angle in similar quadrilateral has the exact same angle;

D. Statement is correct because if segment AD is 8 units, the corresponding segment EH will be:

EH = 2 x 8 = 16 units

E. Tis statement is correct because area of quadrilateral ABCD is proportional to the area of quadrilateral EFGH by the scale factor, therefore, area of EFGH is twice the area of ABCD.

How do you convert an equation into slope intercept form? do you solve for x or solve for y

Answers

Answer:

An equation using the slope-intercept form would be y=mx+b. M would be the slope and b would be the intercept. For example, if slope:5 and intercept:6 the equation would be y=5x+6. Hope I helped!

36,300,000 in scientific notation

Answers

Answer:

thirty-six million three hundred thousand

Step-by-step explanation:

It is just 36,300,000 in word form. Hope it helps!

Answer:

36300000 in scientific notation = 3.63 × 107.

Step-by-step explanation:

DOES ANYONE KNOW THE ANSWER TO THIS???

Answers

A) slope -3
B) 5/2
Hope this helps

Please help (I give brainliest and follow you)

Answers

(-2,0) option b is the correct answer

Answer: B. (-2.0)

Step-by-step explanation:

(X,Y)

You go over -2 on the X

And stay at 0 on the Y

So it would be (-2,0)

plz help I will mark you brainlist plz ​

Answers

Answer:

this is hard is this algabra

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