If it takes 1074 digits to number the pages of a book starting with page 1. how many pages are in the book? The book has a total of pages. ​

Answers

Answer 1

Answer:

394 pages

Step-by-step explanation:

1- digit numbers:

1 to 9, number of digits = 9

2- digit numbers:

10 to 99, number of digits = 2(99 - 9) = 180

3- digit numbers:

100 to 999, number of digits = 3(999 - 99) = 2700

This is more than we have, but we know the number of pages is 3-digit.

Let it be x, then we have:

9 + 180 + 3(x - 99) = 10743(x - 99) = 1074 - 1893(x - 99) = 885x - 99 = 885/3x - 99 = 295x = 295 + 99x = 394

Related Questions

need help asap! The graphs below have the same shape. what is the equation of the red graph?

no links​

Answers

Answer:

B. [tex]g(x) = x^{3} - 5[/tex]

Step-by-step explanation:

The graph of f(x) is the graph of g(x) translated 5 units downwards.

Write the ones digit of the squares of the following numbers. (a) 21287​

Answers

7

___________________


A national survey of 1516 respondents reached on land lines and cell phones found that the percentage of adults who favor legalized abortion has dropped from 55% a year ago to 45%. The study claimed that the error
atributable to sampling is 4 percentage points. Would you claim that a majority of people are not in favor of legalized abortion?

Answers

Answer:

The upper bound of the interval is below 0.5, which means that it can be claimed that a majority of people are not in favor of legalized abortion

Step-by-step explanation:

Confidence interval:

Sample proportion plus/minus margin of error.

In this question:

Sample proportion of 0.45, margin of error of 0.04. So

0.45 - 0.04 = 0.41

0.45 + 0.04 = 0.49

The confidence interval is of (0.41,0.49). The upper bound of the interval is below 0.5, which means that it can be claimed that a majority of people are not in favor of legalized abortion

Find the value of x to the nearest tenth.

Answers

Answer:

[tex]base = \sqrt{ {4}^{2} + {3}^{2} } \\ = \sqrt{25} = 5 \\ x = \sqrt{ {6}^{2} - {5}^{2} } \\ x = \sqrt{11} \\ x = 3.3[/tex]

3.31 (Answer in the photo)


21.5 sq. Cm
43 sq. Cm
100 sq. Cm
68.6 sq. Cm

Answers

Answer :

[tex] \large \boxed{ \boxed{ \mathrm{21.5 \: \: cm {}^{2}} }}[/tex]

Solution :

By Observing the Above figure, we can conclude that the area of shaded region is equal to the Area of Square minus the sum areas of two equal semicircles (since their diameters are equal)

let's solve for area of square :

[tex]\longrightarrow \: \mathrm{side {}^{2} }[/tex]

[tex]\longrightarrow10 {}^{2} [/tex]

[tex]\longrightarrow \mathrm{100 \: cm {}^{2} }[/tex]

Now,

Radius of the both semicircles measure :

[tex]\longrightarrow \dfrac{10}{2} [/tex]

[tex]\longrightarrow5 \: cm[/tex]

now, let's solve for their area

[tex] \longmapsto 2 \times \dfrac{\pi {r}^{2} }{2} [/tex]

(Since, there are two semicircles)

[tex]\longrightarrow3.14 \times 5 \times 5[/tex]

[tex]\longrightarrow78.5 \: cm {}^{2} [/tex]

Area of Shaded region = Area of Square - Area of Semicircles, that is

[tex]\longrightarrow100 - 78.5[/tex]

[tex]\longrightarrow \mathrm{21.5 \: cm {}^{2} }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{hope \: it \: helps \: you \: }}{\orange{.....}}}}}[/tex]

What type of solutions does the quadratic equation, 8v2 + 8 = -11v, have?

Answers

Answer:

Complex roots

Step-by-step explanation:

Given

[tex]8v^2 + 8 = -11v[/tex]

Required

The type of solution

Rewrite as:

[tex]8v^2 +11v+ 8 = 0[/tex]

To determine the type of solution, we simply calculate the discriminant (D)

[tex]D = b^2 - 4ac[/tex]

Where

[tex]a = 8;\ \ \ b =11\ \ \ c = 8[/tex]

So, we have:

[tex]D = 11^2 - 4 * 8 * 8[/tex]

[tex]D = 121 - 256[/tex]

[tex]D = -135[/tex]

The above value implies that:

[tex]D<0[/tex]

When [tex]D<0[/tex], the solution of the equation is: complex roots

The table shows how the time it takes a train to travel between two cities depends on its average speed. The table shows how the time it takes a train to travel between two cities depends on its average speed Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour? What does the number 160 represent in the rational function that models the situation? distance, in miles, between the cities amount of fuel, in gallons, used by the train time, in minutes, needed to travel between the cities

Answers

Answer:

Step-by-step explanation:

Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour?  

✔ y = 160/x

What does the number 160 represent in the rational function that models the situation?

✔distance, in miles, between the cities

amount of fuel, in gallons, used by the train

time, in minutes, needed to travel between the cities  

Answer: NOTE Pictures Are not in order! Make sure you check page number.

Step-by-step explanation:

On page 6 the answers are ”C” and ”5lbs”

On page 7 the answers are “C”, “$ 418”, “ The cat”, and then “ $960”.

On page 8 the answers are : < Just copy paste this below.>

                                                               

“Based on the calculation, they should purchase the second television as the cost is cheaper.

Based on the information given in the question, the cost of the first television will be:

= $330 + ($14 × 8)

= $330 + $102

= $442

The cost of the second television will be:

= $369 + ($9 × 8)

= $369 + $72

= $441

Therefore, the second television is cheaper.”

                   ^    

<Just copy paste this. >           [Then check. “A,B,C,”.]

On page 9 the answer is “ D “.

Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.

Answers

Answer:

The answer e i think

Step-by-step explanation:

Calculate the value of 3x³ -2x²- 9x+2 if x= -2​

Answers

Answer: -12

Step-by-step explanation:

3(-2)^3 - 2(-2)^2 - 9(-2) + 2 = N

3(-8) - 2(4) - 9(-2) + 2 = N

-24 - 8 + 18 + 2 = N

-12 = N

if the given ordered pair equal then find value of x and y
(3x+5)=(x+2)
and (4y+7)= (y+3)

Answers

Answer:

3x+5 =x+2

3x-x=2-5

2x= –3

x=-3/2

4y+7=y+3

4y–y =3-7

3y=–4

y= —4/3

PLS HELP!
Two vertical angles measure (5x + 15)° and (3x + 27)°. Draw a diagram that illustrates the vertical angles. Solve for each angle.

Answers

Answers:

x = 6

Each angle is 45 degrees

The diagram is shown below

=========================================================

Explanation:

Vertical angles are always congruent

Set the two expressions equal to each other and solve for x.

5x+15 = 3x+27

5x-3x = 27-15

2x = 12

x = 12/2

x = 6

As a way to check the answer, replace x with 6 in each expression. We should get the same thing on both sides

5x+15 = 3x+27

5*6+15 = 3*6+27

30+15 = 18+27

45 = 45

Each angle is 45 degrees, so the answer is confirmed.

---------

The diagram is shown below. There are infinitely many ways to draw out the diagram. In the version I drew, the angles aren't vertically aligned but instead they are opposite one another in this X configuration. So the vertical angles could be vertically aligned, but they don't have to be.

In short: draw an X shape and mark any two opposite angles to form the vertical angles.

Which score is better in terms of percentages: 12 out of 15 or 23 out of 26?

Answers

Answer:

23/26 is a greater percentage, it equals around 88% while 12/15 equals 80%

Step-by-step explanation:

It took Fred 12 hours to travel over pack ice from one town to another town 360 miles away. During the return journey it took him 15 minutes

Answers

Step-by-step explanation:

what is your question please

Trig how do you do I do not know

Answers

9514 1404 393

Answer:

  a) 2π radians

  b) 10π inches

  c) 5/4π inches per minute

Step-by-step explanation:

The formulas are fairly straightforward. Use the given values in each.

a) θ = ωt

  θ = (π/4 radians/min)(8 min) = 2π radians

__

b) s = rθ

  s = (5 in)(2π radians) = 10π in

__

c) v = s/t

  v = (10π in)/(8 min) = 5/4π in/min

Which equation is correct?

cos x° = adjacent ÷ hypotenuse
tan x° = hypotenuse ÷ adjacent
cos x° = hypotenuse ÷ adjacent
tan x° = adjacent ÷ hypotenuse

Answers

Answer:

cos x° = adjacent ÷ hypotenuse

Step-by-step explanation:

Option (A) cos x° = adjacent ÷ hypotenuse is correct because cos is the ratio of the side adjacent to the angle to the hypotenuse option (A) is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have given trigonometric ratios in the options.

As we know the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

In the right angle triangle (It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base)

cos is the ratio of the side adjacent to the angle to the hypotenuse

cos x° = adjacent ÷ hypotenuse

tan is the ratio of the side opposite to the angle to the side adjacent to the angle.

tan x° = opposite ÷ adjacent

Thus, option (A) cos x° = adjacent ÷ hypotenuse is correct because cos is the ratio of the side adjacent to the angle to the hypotenuse option (A) is correct.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ5

A 6-digit PIN number is selected. What it the probability that there are no repeated digits?
The probability that no numbers are repeated is
Write your answer in decimal form, rounded to the nearest thousandth.
Submit Question

Answers

Mark Brainliest please

Answer: 0.1512

So I know that there are 10 possible digits that can be selected, each time the pool of selected digits gets smaller.

The first digit cannot be zero therefore there are 9 possibilities for this digit. Then, seeing as the order doesn't matter, but repeats do, so I thought a permutation would be the correct method to apply.

9 * ((9!)/(9-5!)) = 136,080 (<-- total number of 6 digit numbers)

Without repeats and no 0 as first digit

Total number of 6 digit numbers = 10^6

Therefore the probability of this scenario happening is:

(139,080/10000000) = 0.13608

Answer:

we got 10 digits to choose from for the first digit, 9 for the second and so on

[tex]10 \times 9 \times 8 \times 7 \times 6 \times 5[/tex]

scenarios that got no repeated digits.

the total number of possible PINs with 6 digits is

[tex]10 \times 10 \times 10 \times 10 \times 10 \times 10[/tex]

or just 10⁶

so the fraction we are looking for is the number of valid states decided by all possible states.

[tex] \frac{10 \times 9 \times 8 \times 7 \times 6 \times 5}{ {10}^{6} } [/tex]

=0.1512

rounded to the nearest thousandth it's

0.151

(actually, I didn't expect the probability to be around 15 percent)

hope it helps. asked question whenever you like

kind regards

Alex

PLSSSSSS HELP ASAP !!!

Answers

Answer:

m4+m5=180

answer is second option

can someone PLEASE help me solve this equation ? due soon

Answers

[tex]\sf{Given : 3tanx + 7 = \dfrac{2}{(1 - sinx)(1 + sinx)}}[/tex]

We know that : (a - b)(a + b) = a² - b²

[tex]\implies \sf{3tanx + 7 = \dfrac{2}{1 - sin^2x}}[/tex]

We know that : 1 - sin²x = cos²x

[tex]\implies \sf{3tanx + 7 = \dfrac{2}{cos^2x}}[/tex]

[tex]\sf{\bigstar \ \ We \ know \ that : \boxed{\sf{\dfrac{1}{cos^2x} = sec^2x}}}[/tex]

[tex]\implies \sf{3tanx + 7 = 2sec^2x}[/tex]

We know that : sec²x = 1 + tan²x

[tex]\implies \sf{3tanx + 7 =2(1 + tan^2x)}[/tex]

[tex]\implies \sf{2 + 2tan^2x - 3 tanx - 7 = 0}[/tex]

[tex]\implies \sf{2tan^2x - 3 tanx - 5 = 0}[/tex]

[tex]\implies \sf{2tan^2x - 5tanx + 2tanx - 5 = 0}[/tex]

[tex]\implies \sf{2tanx(tanx + 1) - 5(tanx + 1) = 0}[/tex]

[tex]\implies \sf{(tanx + 1)(2tanx - 5) = 0}[/tex]

[tex]\implies \sf{tanx = -1 \ (or) \ tanx = \dfrac{5}{2} }[/tex]

cuadrado de binomio
(x-2)(-2+x)

Answers

Answer:

x^2-4x+4

Step-by-step explanation:

See image below:)

Ben sold his small online business for $100,000. The purchaser will pay him $20,000 today, then $20,000 every year for the next four years. Assume that Ben could invest a lump-sum payment today in an account yielding an interest rate of 4% annually. Find the total present value of all five payments.

A.
$87,096
B.
$88,384
C.
$92,598
D.
$93,964

Answers

Answer:

c.92,598

Step-by-step explanation:

20000 + 20000/1.04 + 20000/(1.04^2) + 20000/(1.04^3) + 20000/(1.04^4)

= 20000 + 19230.77 + 18491.12 + 17779.73 + 17096.08

= 92597.7

= 92,598

Draw and label the solution to each

Answers

Total Area
A- 63.45
B- 66.25
C- 30.21
D- 85
E- 143.75
F- 81.59

resuelve la siguiente ecuación
x2+40=100

Answers

pregunta:x2+40=100

resultado:x=30

Step-by-step explanation:

the anwer is x=30......

A label printer prints 9 pages of labels in 2.0 seconds. How long will it take to print 396 pages of labels?

Answers

Answer:

88 or 1 minute and 28 seconds

Step-by-step explanation:

396/9= 44 times the two seconds it takes to print is 88

Answer:

1782

Step-by-step explanation:

9 divided by 2.0

=4.5

4.5×396

=1782

Complete the remainder of the
table for the given function rule

Answers

Answer:

y = 3

y = 2

y = 1

y = 0

Step-by-step explanation:

Given expression;

y = (-x/3) + 2

Find:

Value of y, if x = -3Value of y, if x = 0Value of y, if x = 3Value of y, if x = 6

Computation:

Value of y, if x = -3

y = (-x/3) + 2

y = (3/3) + 2

y = 3

Value of y, if x = 0

y = (-x/3) + 2

y = (-0/3) + 2

y = 2

Value of y, if x = 3

y = (-x/3) + 2

y = (-3/3) + 2

y = 1

Value of y, if x = 6

y = (-x/3) + 2

y = (-6/3) + 2

y = 0

WILL MARK BRAINLIEST PLEASE HELP

a survey of boys and girls in second grade was conducted asking whether or not they like pizza. The partially completed two-way table shows results of the survey. How many boys were included in the survey?

Answers

64-35= 29

so there were 29 boys included in the survey

Step-by-step explanation:

answer is in the above photo

there are 29 boys total

Help with those math probelm please

Answers

Answer:

170 books

Step-by-step explanation:

Each book equals 10 books. So 17x10 equals your answer! (170)

Good luck to you!

Which number is GREATEST?
0.27
0.046
0.297
0 0.3

Answers

Answer:

0.3

Step-by-step explanation:

Go left to right for each digit, which one is greater. They all have a decimal so for right now we can’t eliminate any. Next digit we two 2s a 0 and a 3. Whch number is greater? The three! So the greatest number is 0.3.

whats the formula for volume

Answers

Answer:

Volume for cube: L x W x H

L= Length, W= width, H=height

There are various volumes in mathematics so which one are u talking about specifically?

Determine if the triangles are congruent. If they are, state how you know. NO LINKS!!!!
Part 1c. Show your work please.​

Answers

Answers:

Each pair of triangles are congruent. The congruence reasoning is shown below.

ASASSSHA

======================================

Further Explanation:

ASA is where we have the marked side between two marked angles. This is slightly different from AAS or SAA. The order is important. The diagram shows how the angles pair up (eg: the double arc angles are the same measure). Using ASA is enough to prove the triangles congruent.SSS is used here because we have three pairs of congruent sides. The unmarked sides overlap perfectly, so we consider this a shared side. They are congruent to each other (because of the reflexive property). So we have enough info to show that the triangles are congruent.HA stands for hypotenuse angle. It's probably not that often used. It only applies to right triangles. The two overlapped segments are the hypotenuse of each right triangle, so that takes care of the "H" of "HA". The A part refers to the congruent acute angles (not the right angles). Therefore, the triangles are congruent by the HA theorem.

Abbreviations:

ASA = angle side angle

SSS = side side side

HA = hypotenuse angle

A spinner is divided into 4 equal sections numbered 1 through 4. It is spun twice, and the numbers from each spin are added.

What is the probability that the sum is less than 6?

Answers

Answer:

4equal to plus 5 eul is to be 9

Other Questions
Explain why compromises were important to the process of being able to write the U.S.Constitution. Identify and explain a minimum of three examples in your response. Also, be sureto use text evidence to support one of your examples from the document excerpts provided. What is the correct answer question Fungi live byA. Making their own food.B. Eating other organisms.C. Sucking up nutrients made by other organisms. What word best describes the action?Amy taps her nails against the desk as the teacher finishes her lecture.impatienceenthusiasm prepare a speech on human resources and its importance Find the slope and the y-intercerpt f(x) = 8 -7/8x The constitution delared India as a unionof state Although it did not use the wordFederation the Indian union is based onThe principal of federalism-Evaluate thestatement with five suitable points- Write this percentage as a fraction in its simplest form.30% Why so many countries have established monasteries in Lumbini? Write any four points. The temperature today will be at most 50F. Write Inequality Find the solution of y = 6x + 1 for x = 5 What layer of the alimentary canal tissue is capable of helping to protect the body against disease, and through what mechanism? can someone help i dont understand exponential functions Factorise completely the expression below: 6ax+12by-9ay-8bx 50 POINTS PLZ HELP!!!Your boss hands you the monthly data that shows the number of orders coming in to and out of the warehouse. The data is in the table below. Explain to your boss, in complete sentences, the solution to this system and what the solution represents. A firm that purchases electricity from the local utility for $300,000 per year is considering installing a steam generator at a cost of $260,000. The cost of operating this generator would be $210,000 per year, and the generator will last for five years. If the firm buys the generator, it does not need to purchase any electricity from the local utility. The cost of capital is 11%. For the local utility option, consider five years of electricity purchases. For the generator option, assume immediate installation, with purchase and operating costs in the current year and operating costs continuing for the next four years. Assume payments under both options at the start of each year (i.e., immediate, one year from now,..., four years from now). What is the net present value of the more attractive choice? MARKING BRAINLIEST PLS HELP A pizza parlor advertises pizza options. They offer 7 toppings and allow up to 4 on each pizza. Write an expression that represents this situation.A: 7!B: 7!/3!C: 7!/4!3!D: 4!3!/7! Which of these prompts would require writing a persuasive essay? What social change resulted from the Industrial Revolution?