How many phone numbers (without area codes) are possible? The first digit cannot be 0 or 1.

Answers

Answer 1

Answer:

Step-by-step explanation:

For the first digit, there are 8 numbers to choose from (2, 3, ..., 9).

For each remaining digits, there are 10 numbers to choose from (0, 1, ..., 9).

Choose 6 of them. Repetition is allowed, and order matters.

There are 10⁶ possible choices.

There are 8×10⁶ possible phone numbers.


Related Questions

The triangle with lines through it designates a no parking zone. What is the value of x?

2x

45°

+o

GO

Answers

Answer:

45°

Step-by-step explanation:

A triangle is a polygon that has three sides and three angles. There are different types of triangles such as equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.

All the three angles in a triangle add up to 180°.

From the question:

x + 2x + 45 = 180° (sum of angles in a triangle)

Adding alike terms:

3x + 45 = 180

Subtract 45 from both sides:

3x + 45 - 45 = 180 - 45

3x = 135

Divide both sides of the equation by 3 to find x:

3x / 3 = 135 / 3

x = 45°

Therefore:

The value of x is 45°

Which value of the variable is a solution of the inequality t > -5

Answers

Answer:

-4 and any number above.

3/5 of the students in a classroom are girls. If there are ten boys in the class, how many total students are there?


15

25

16

20

Answers

Answer:

25

Step-by-step explanation:

15=Girls

10=Boys

25 =The total of the number of students

Solve the Equation.

91 = A - 45

Answers

The answer would be 46
91= A- 45
Flip the equation
A-45=91
Rearrange the equation and add 45 to both sides
A-45+45= 91+45
A=91+45
A= 136

Order these numbers from least to greatest.
3.027, 3.2742, 3.27, 3.3

Answers

Answer:

3.027, 3.27, 3.2742, 3.3

Step-by-step explanation:

Hi! When we have these types of problems we always look at the first number. Is it less than the others? Since they are all 3, we have to look at the decimal place. 0 is less than 2 and 3, so we put 3.027 first. Since the others have 3.27 as the first point, we look at the one with the most decimal placements after 3.27 (3.2742) as being greater than 3.27. 3.27 goes before 3.2742. 3.3 is greater than all of them, so it goes last.

Answer:

3.027, 3.27, 3.2742, 3.3

Step-by-step explanation:

First list the numbers:

3.027

3.2742

3.27

3.3

Add the zero to the numbers without 4 decimal places so that they are equal.

Now you have:

3.0270

3.2742

3.2700

3.3000

Look at the number with the lowest number on the first decimal place, which is 3.0270. This becomes the lowest number. Then move on to the next decimal place. 3.2700 and 3.2742 both have the same digits on the first two decimal places. Look at the third decimal place between the two and you can see that 0 (on 3.2700) is lower than 4 (on 3.2742).

So now we have:

3.0270, 3.2700.

Then looking at the last two you have 3.2742 and 3.3000. In this case it's clear that 3.2742 is smaller so we put it as the third.

The order is as follows:

3.0270 (3.027)

3.2700 (3.27)

3.2742 (3.2742)

3.3000 (3.3)

Which expressions are equivalent to 74-x-3)? Select two options.
X )? .
0-54x-21
0-72x-713)
63x-21
067x-4
3
071-x)+7(3)

Answers

Answer:

A,E

Step-by-step explanation:

Edge 2021

The expressions that are equivalent to 7(-¾x - 3) are:

A. -5¼x - 21

E. 7(-¾x) -7(3)

What are Equivalent Expressions?

Equivalent expressions are expressions that have the same values when evaluated or simplified.

Given:

7(-¾x - 3)

Open the bracket

7(-¾x) -7(3)

-5¼x - 21

Therefore, the expressions that are equivalent to 7(-¾x - 3) are:

A. -5¼x - 21

E. 7(-¾x) -7(3)

Learn more about equivalent expressions on:

https://brainly.com/question/22365614

(-7. + 3 + x) - (=6 - 7.3 + 2.)

Answers

Are we finding x? Or are we solving the equation with x

Rotate 90° counterclockwise about the origin.
M (3.2), N'(5,5), P'(4,5), Q'(2, 2)
M"1-2.3). N'(-5,5), P'(-5.4), (-2,2)
M(-2,-3). N'(-5.-5), P'(-5.-4). Q'-2,-2)
M*2.3). N'(5,5), P75,4), Q (2.2)

Answers

Answer:

it should be the second one

The local gym wants to expand the entire building by doubling the size. Find the perimeter of the entire rectangle

Answers

Answer:

the perimeter is 50x

Step-by-step explanation:

I NEED HELP PLEASE PLEASE HELP ME I WILL THANK YOU A LOT

Answers

Answer:

$8.50

Step-by-step explanation:

First, you would look at all the prices. If you have 8 tickets and they cost $62 after discount, what is the discount amount? That is 75 cents. Then, you would divide $62 by 8 tickets to get the price of each ticket. That would be $7.75 for each ticket. You would then add the discount of 75 cents to get the original price of $8.50 for each ticket.

HELP IM TIMES FOR 20 MINUTES! IVE BEEN ON THIS FOR THE LONGEST!

Answers

Answer:

Point d

Step-by-step explanation:

because the x is -2 and the y is 3 so you look for the x and then the y

How do I find the correct Domain.

Answers

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

hope this helps a little

Write the equation of the line passing through the points (-4,7) and (-7,4)​

Answers

Answer:

y=x+11

Step-by-step explanation:

The answer is: 1

To find the equation I subtract 4-7 and -7-(-4). I receive the answer of -3/-3.

-3/-3 simplifies 3/3 which is equal to 1.

So the equation is 1? I think this is the correct answer

least common multiple of 35 and 15

Answers

The least common multiple for 35 and 15 would be 105
The least common multiple would be 105! Hope this helps <3

Complete the following statements.

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains  fluid ounces of liquid.

The soda bottle contains  gallons of liquid.

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains  quarts of milk.

The milk jug contains  liters of milk.

Answers

Answer:

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains  67.62 fluid ounces of liquid.

The soda bottle contains 0.525  gallons of liquid.

2) A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains 8  quarts of milk.

The milk jug contains 7.6 liters of milk.

Step-by-step explanation:

We need to complete the statements.

1)

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains -------  fluid ounces of liquid.

Converting Liters to fluid ounces

We know that 1 liter = 33.81 fluid ounces

So,  2 liter = 2 x 33.81 = 67.62 fluid ounces

The soda bottle contains 67.62  fluid ounces of liquid.

The soda bottle contains  gallons of liquid.

Converting liters to gallons

As, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons

We know that

1 liter = 1.05 quarts

2 liters = 2 x 1.05 = 2.1 quarts

4 quarts = 1 gallon

1 quarts = 1/4 gallon

2.1 quarts = 1/4 * 2.1 = 0.525 gallon

The soda bottle contains 0.525  gallons of liquid.

2)

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains -------- quarts of milk.

Converting gallons to quarts

We know:

1 gallon = 4 quarts

2 gallons = 2 x 4 = 8 quarts

The milk jug contains 8 quarts of milk.

The milk jug contains ------  liters of milk.

Converting gallons to liters

We know:

1 gallon = 4 quarts

2 gallon = 8 quarts

1.05 quarts = 1 liter

1 quarts = 1/1.05 liter

8 quarts = 1/1.05 * 8 = 7.6 liter

The milk jug contains 7.6 liters of milk.

(1, 1), (–1,5)
find slope

Answers

Answer:

slope = 0

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If f(x) = x2 + 2x + 1 and g(x) = 3(x + 1)2, which is an
equivalent form of f(x) + g(x)?
O x2 + 4x + 2
O 4x2 + 2x + 4
O 4x2 + 8x + 4
o 10x2 + 20x + 1

Answers

the answer should be C

The equivalent form of f(x) + g(x), if  f(x) = x² + 2x + 1 and g(x) = 3(x + 1)² is

4x² + 8x + 4, so option C is correct.

What is a function?

In the case of a function from one set to the other, each element of X receives exactly one element of Y. The function's domain and co-domain are respectively referred to as the sets X and Y as a whole.

Given:

f(x) = x² + 2x + 1 and g(x) = 3(x + 1)²

Calculate the equivalent form as shown below,

f(x) + g(x) = x² + 2x + 1 + 3(x + 1)²

Simplify the above equation,

f(x) + g(x) = x² + 2x + 1 + 3(x² + 2x + 1)

f(x) + g(x) = x² + 2x + 1 + 3x² + 6x + 3

f(x) + g(x) = 4x² + 8x + 4

To know more about function:

https://brainly.com/question/5975436

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Susan subscribed to a video game rental service. She pays the same
amount for each video game she rents plus a monthly fee to subscribe to
the service. The cost for different numbers of video game rentals are
shown in the graph.

Answers

Answer:

C

Step-by-step explanation:

Answer: C. $6.00 monthly fee and $1.25 per video game

Step-by-step explanation:

I did the test

Find the perimeter of the following shape:

Answers

Answer:

itas niot hard. its 10+10+7+7. the 9 is meaning if it was a striaghjt line, and that is the length of the straight line.

Step-by-step explanation:

Move words to the blanks and equations to the boxes to prove that vertical angles <1 and <3 are congruent

Answers

Answer:

Because linear pairs are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.

Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.

Step-by-step explanation:

A linear pair is a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary (that is they add up to 180°).

Therefore m∠1 and m∠2 are linear pairs, also m∠2 and m∠3 are linear pairs.

Hence:

m∠1 + m∠2 = 180°

m∠2 + m∠3 = 180°

Using substitution property:

m∠1 + m∠2 = m∠2 + m∠3

subtracting m∠2 from both sides:

m∠1 + m∠2 - m∠2 = m∠2 + m∠3 - m∠2

m∠1 = m∠3

∠1 and ∠2 are congruent

Because linear pairs are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.

Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.

tiffany makes money by commission rates. She gets 21% of everything she sells. If tiffany sold $27000 worth of items this month, what is her salary for the month .

Answers

Answer:

[tex]Salary = \$5670[/tex]

Step-by-step explanation:

Given

[tex]Items = \$27000[/tex]

[tex]Rate = 21\%[/tex]

Required

Determine her salary

Her salary is calculated as:

[tex]Salary = Rate * Items[/tex]

This gives:

[tex]Salary = 21\% * \$27000[/tex]

Convert % to decimal

[tex]Salary = 0.21 * \$27000[/tex]

[tex]Salary = \$5670[/tex]

7. Mangoes are sold at 5 for $4.00 and oranges are sold at 3 for $10.50. Mother bought 8
mangoen and 7 oranges. How much did she pay in all for the Items?

working ​

Answers

Answer:

hi  hahahah

Step-by-step explanation:

First calculate the individual cost for each item

Mangoes: $4 / 5 = .8$

Oranges: $10.5 / 3 = $3.5

Now multiple the individual cost by the amount of each item that was bought

Mangoes: 8 x .8 = $6.4

Oranges: 7 x 3.5 = $24.5

Total cost = $30.90

Kaylee and Josiah are reading the same book. At the beginning of the month, Kaylee was on page 24 and Josiah was on page 50. Kaylee will read 16 pages per day and Josiah will read 14 pages per day. Let K K represent the page of the book that Kaylee is on at the end of t t days into the month, and let J J represent the page of the book that Josiah is on at the end of t t days into the month. Write an equation for each situation, in terms of t , t, and determine what page Kaylee and Josiah will be on on the day they are both on the same page.

Answers

Answer:

They'll be on page 72

Step-by-step explanation:

Kaylee:

Current page = 24

Page per day = 16

Page, K, Kaylee is on at end of t days

K = current page + (page per day * Number of days)

K = 24 + 16t

Josiah:

Current page = 50

Page per day = 14

Page, J, Josiah is in at the end of t days

J = current page + (page per day * Number of days)

J = 50 + 14t

To be on the same page ;

K = J

24 + 16t = 50 + 14t

24 - 50 = 14t - 16t

- 26 = - 2t

t = 13

After 13 days, they'll be on same page :

K = 24 + 16(13)

K = 24 + 48

K =72

They'll be on page 72

Hal rolls a fair six-sided die 60 times. What is the best prediction of the number of times Hal will roll a 3 or a 6?

exactly 20 times
roughly 20 times
exactly 30 times
roughly 30 times​

Answers

Answer:

roughly 20 times

Step-by-step explanation:

2/6 = 1/3 is the probability he will roll a 3 or a 6

1/3 * 60 = 20.

It's not exact because you can't predict exactly what will happen, so it's roughly 20 times.

A study of a population of 3600 dogs found that 6 out of every 90 dogs have brown fur. Based on the results of this study, how many dogs in the population DO NOT have brown fur?

Answers

3600/90= 40 x 6 =240
3600 - 240 = 3360
3360 dogs in the population DO NOT have brown fur.

What is the range? The range is __

Answers

Answer:

8

Step-by-step explanation:

Take the biggest value and smallest value, and subtract the smallest value from the biggest value:

9-1=8

The range is 8

The numbers provided are 1, 2, 3, 4, and 9. Subtract the greatest from least,

9 - 1, and your answer is 8

A wildlife biologist is doing research on chronic wasting disease and its impact on the deer populations in northern Colorado. To estimate the difference between the proportions of deer with chronic wasting disease in two different regions, a random sample of 200 deer was obtained from one region and a random sample of 197 deer was obtained from the other region. The biologist checked for the following.

(200)(0.06)≥10
(200)(0.94)≥10
(197)(0.086)≥10
(197)(0.914)≥10

Which of the following conditions for inference was the biologist checking?

a. The population of deer within each region is approximately normal.
b. It is reasonable to generalize from the samples to the populations.
c. The samples are independent of each other.
d. The observations within each sample are close to independent.
e. The sampling distribution of the difference in sample proportions is approximately normal.

Answers

Answer:e. The sampling distribution of the difference in sample proportion is approximately normal.

Step-by-step explanation:

(200) (0.06) >= 10

(200) (0.94) >=10

(197)(0.086) >=10

(197)(0.914) >= 10

We test the sample proportions of it is normal :

Deer population 1:

Sample size, n1 = 200

Proportion, p1 = 0.06

q = 1 - p = 1 - 0.06 = 0.94

n1 * p = 200 * 0.06 = 12

n1 * q = 200 * 0.94 = 188

Deer population 2:

Sample size, n2 = 197

Proportion, p = 0.086

q = 1 - p = 1 - 0.086 = 0.914

n2 * p = 197 * 0.086 = 16.94

n2 * q = 197 * 0.914 = 180.06

Since for samples and proportions ;

n*p and nq ≥ 10 ;

We cm conclude that the sampling distribution of the difference in sample mean is appropriately normal.

The sampling distribution of the difference in sample proportions is approximately normal because samples and proportions are greater than or equal to 10.

Given :

A wildlife biologist is doing research on chronic wasting disease and its impact on the deer populations in northern Colorado. A random sample of 200 deer was obtained from one region and a random sample of 197 deer was obtained from the other region.

For dear population 1, the sample size is 200 and proportion is 0.06.

[tex]\rm q_1 = 1-p_1=1-0.06=0.94[/tex]

[tex]\rm n_1p_1=200\times 0.06=12\\[/tex]

[tex]\rm n_1q_1=200\times 0.94 = 188[/tex]

Now, for dear population 2, the sample size is 197 and the proportion is 0.086.

[tex]\rm q_2 = 1-p_2=1-0.086=0.914[/tex]

[tex]\rm n_2p_2=197\times 0.086=16.94[/tex]

[tex]\rm n_2q_2=197\times 0.914 = 180.06[/tex]

Therefore, from the above calculations, it can be concluded that the sampling distribution of the difference in sample proportions is approximately normal because samples and proportions are greater than or equal to 10.

So, the correct option is e).

For more information, refer to the link given below:

https://brainly.com/question/795909

Is the expression 3(x+1 1/2)-3 equivalent to 3x+ 1 1/2

Answers

Answer:

Yes

Step-by-step explanation:

3(x+5.50)-3

3x+16.50)-3

-3(3x+16.50)

Can I get some help on this math problem

Answers

Answer:

[tex]x=3\sqrt{5}[/tex]

Step-by-step explanation:

Right Triangles

Right triangles have one of its interior angles with a measure of 90°.

In right triangles the Pythagora's Theorem is satisfied.

Being c the longest side (hypotenuse), a and b the shorter sides (the legs), then:

[tex]c^2=a^2+b^2[/tex]

We have modified the image to include some known data. Both triangles are congruent since they share one side, have a right angle, and have the same base length.

This means the value of x can be calculated as the hypotenuse of the triangle 3-6-x:

[tex]x^2=3^2+6^2=9+36=45[/tex]

[tex]x=\sqrt{45}=\sqrt{9*5}[/tex]

[tex]\boxed{x=3\sqrt{5}}[/tex]


find the value of x

Answers

if both sides are supposed to be equal, then x=59
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