how many 4 digit numbers n have the property that the 3 digit number obtained by removing the leftmost digit is one ninth of n

Answers

Answer 1

Answer:

  7

Step-by-step explanation:

We want to find the number 4-digit of positive integers n such that removing the thousands digit divides the number by 9.

__

Let the thousands digit be 'd'. Then we want to find the integer solutions to ...

  n -1000d = n/9

  n -n/9 = 1000d . . . . . . add 1000d -n/9

  8n = 9000d . . . . . . . . multiply by 9

  n = 1125d . . . . . . . . . divide by 8

The values of d that will give a suitable 4-digit value of n are 1 through 7.

When d=8, n is 9000. Removing the 9 gives 0, not 1000.

When d=9, n is 10125, not a 4-digit number.

There are 7 4-digit numbers such that removing the thousands digit gives 1/9 of the number.


Related Questions

The first two boxes I get but the last box I don’t know where to go for it

Answers

Answer:

add the size plus

Step-by-step explanation:

Sunday if you add sox

Suav left his house at time zero and drove to the store, which is 8 blocks away, at a speed of 4 blocks per minute. Then he stopped and went into the store for 2 minutes. From there, he drove in the same direction at a speed of 4 blocks per minute until he got to the bank, which is 16 blocks away from the store. He stopped at the bank for 4 minutes. Then he drove home at a speed of 6 blocks every minute. Make a graph of showing the number of blocks away from home that Suav is xx minutes after he leaves his house, until he gets back home.

Answers

The graph for Suav's trip is attached along with the values derived from the information provided.

What is the explanation for the graph?

The key to understanding the graph is that every time spent while he was on the way to the back and back are all added cumulatively.

So when he stops at the store which is 8 blocks away from home, the time spent is recorded as 4 + 2 at location 8 blocks.

It is also to be noted that the time spent is plotted on the x-axis and the blocks away from home on the y-axis.

Learn more about graphs at:
https://brainly.com/question/19040584
#SPJ1

could someone pleasee help me will give brainliest

Answers

the bottom angle is also 112 because of the equality in sides

Emi computes the mean and variance for the population data set 87, 46, 90, 78, and 89. She finds the mean is 78. Her steps for finding the variance are shown below.


What is the first error she made in computing the variance?

Emi failed to find the difference of 89 - 78 correctly.

Emi divided by N - 1 instead of N.

Emi evaluated (46 - 78)^2 as -(32)^2.

Emi forgot to take the square root of -135.6.

Answers

The error she made is Emi evaluated (46-78)² as - (32)² is wrong.

What is variance?

Variance is calculated as the average of squared differences of the data observations from the mean.

Given data: 87, 46, 90, 78, and 89.

Here, the first Emi find the difference of 89 - 78 correctly.

Now, Emi division is also correct.

Now, Emi evaluated (46 - 78)^2 as -(32)^2 is wrong.

(46-78)² = (-32)²

Here she used the negative sign outside.

Hence, Emi evaluated (46 - 78)^2 as -(32)^2 is wrong.

Learn more about this concept here:

https://brainly.com/question/9899363

#SPJ1

Answer:

C.) Emi evaluated (46 - 78)2 as -(32)2.

Step-by-step explanation:

What is the area of a rectangle with a length of 3in and a with of 5 square root of 2

Answers

Answer:

The area of the rectangle = 15√2 in²

Step-by-step explanation:

What is the area of a rectangle with a length of 3in

and a width of 5√2.

……………………………………………

FORMULA :

area of a rectangle = length × width

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

Then

The area of the rectangle = 3 × 5√2 = 15√2

PLEASE HELP ME!
The dimensions of a rectangular prism are shown below:
Length: 1 1/3 feet
Width: 1 foot
Height: 2 1 /3 feet
The lengths of the sides of a small cube are 1 over 3 foot each.
Part A: How many small cubes can be packed in the rectangular prism? Show your work. (5 points)
Part B: Use the answer obtained in part A to find the volume of the rectangular prism in terms of the small cube and a unit cube.

Answers

#Part A

L=1-1/3=4/3B=1H=2-1/3=7)3

Volume of rectanglular prism

4/3(1)(7/3)28/9ft³

Volume of one cube

side³(1/3)³1/27in³

Total cubes

28/9÷1/2728/9×2728(3)84cubes

#2

Volume=

No of cubes ×volume of 1 cube

84(1/27)28/9in³

Answer:

A)  84 cubes

B)  Volume = 4 x 3 x 7 = 84 small cubes

    [tex]\sf Volume=3 \frac{1}{9}\:\:ft^3[/tex]

Step-by-step explanation:

Part A

As the lengths of each side of the small cube are ¹/₃ ft each, to find the number cubes in the rectangular prism, first find how many thirds are in each dimension of the prism:

[tex]\sf Length=1 \frac{1}{3}\:ft=\dfrac{4}{3}\:ft=4\:thirds[/tex]

[tex]\sf Width=1 \:ft=\dfrac{3}{3}\:ft=3\:thirds[/tex]

[tex]\sf height=2 \frac{1}{3}\:ft=\dfrac{7}{3}\:ft=7\:thirds[/tex]

Now simply multiply the number of thirds:

Number of cubes in prism = 4 x 3 x 7 = 84

Part B

As we have already found the dimensions of the prism in terms of the number of cubes, the volume of the prism in terms of the small cube is:

⇒ Volume = 4 x 3 x 7 = 84 small cubes

To find the volume of the prism in ft³, calculate the actual volume of the small cube:

[tex]\textsf{Volume of small cube}=\sf \dfrac{1}{3} \times \dfrac{1}{3} \times \dfrac{1}{3}=\dfrac{1}{27}\:ft^3[/tex]

Now multiply the volume in terms of number of cubes by the actual volume of a cube:

[tex]\begin{aligned}\textsf{Volume} &= \sf \textsf{Volume in cubes} \times \textsf{Volume of cube in ft}^3\\\\& = \sf 84 \times \dfrac{1}{27}\:ft^3\\\\& =\sf \dfrac{84}{27}\:ft^3\\\\& =\sf 3\frac{1}{9}\:ft^3\end{aligned}[/tex]

what does it want me to put to 6 decimal places

Answers

They want you to solve the iterative process to a point where the value of x is greater than or equal to 6 decimal places.

What is an iterative process?

An iterative process is a mathematical approach that employs an initial value to build a series of improving estimated solutions for a problem, where the nth-term estimation is generated from the prior ones.

You're required to put the value of x₁ = -1 into the equation:

[tex]\mathbf{x_{n+1}= \dfrac{(x_n)^3-1}{4}}[/tex]

where, [tex]x_1 = -1[/tex]

So;

[tex]\mathbf{x_{2}= \dfrac{(-1)^3-1}{4}}[/tex]

[tex]\mathbf{x_{2}=-0.5}[/tex]

[tex]\mathbf{x_{3}= \dfrac{(-0.5)^3-1}{4}}[/tex]

[tex]\mathbf{x_{3}=-0.28125}[/tex]

[tex]\mathbf{x_{4}=\dfrac{(-0.28125)^3-1}{4}}[/tex]

[tex]\mathbf{x_{4}=-0.2555618286}[/tex]

x₄ ≅ -0.255562  ( to 6 decimal places)

Learn more about the iterative process here:
https://brainly.com/question/26995556

#SPJ1

DO,K = (9, 6) (3, 2) The scale factor is

Answers

Using proportions, it is found that the scale factor of the transformation is of 1/3.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, during the transformation, each coordinate was divided by 3, hence, applying the proportion, the scale factor of the transformation is of 1/3.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Which graph does not represent a function of x?

Answers

c because it does not touch the y axis

What is the range of the function on the graph?

Answers

Answer:

2

Step-by-step explanation:

because (x,y)=(1,2)

Therefore, domine(d)=(x)=1

And, range(r)=(y)=2

So the ans is 2

In two or more complete sentences, describe how to use technology to construct an appropriate regression model for the given data. you are not required to find the model, just choose the appropriate regression and explain how to use the technology. (-2,11), (1,1.7), (2,-0.2), (3,-1.5), (5,-2.3), (6,-1.8), (8,1)

Answers

The regression equation of the data values is y = 0.3x^2 - 2.8x +4.2

How to determine the regression equation?

Using a technology such as a graphing calculator, we simply input the data values in the graphing calculator and then wait for the result.

The x coordinates must be entered into the x values and the y coordinates must be entered into the y values

Using a graphing technology, the regression equation of the data values is y = 0.3x^2 - 2.8x +4.2

Read more about regression equations at:

https://brainly.com/question/17844286

#SPJ1

Please Help!!! Two parallel lines are cut by a transversal. What is the measure of 7?

Answers

Answer:

D. 77º

Step-by-step explanation:

Because 3 and 7 are corresponding angles and 3 = 77º, 7 also is 77º.

NEED HELP FAST! will mark Brain if first! Question 5!

Answers

Answer:

[tex]\boxed{\sf x = 11.7}[/tex]

[tex]\boxed{\sf b = 9.4}[/tex]

Sine Rule states:

[tex]\sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]

[tex]\hookrightarrow \sf sin(51) = \dfrac{x}{15}[/tex]

[tex]\hookrightarrow \sf x = 15sin(51)[/tex]

[tex]\hookrightarrow \sf x = 11.657 \ \ \approx \quad 11.7[/tex]

Additional, cosine rule:

[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]

[tex]\hookrightarrow \sf cos(51) = \dfrac{b}{15}[/tex]

[tex]\hookrightarrow \sf b = 15cos(51)[/tex]

[tex]\hookrightarrow \sf b = 9.4398 \quad \approx \ \ 9.4[/tex]

Why is P(A) •P(B/A) = P(B) • P(A/B)
HELP ME QUICK ASAP

Answers

Answer:

rawrrrrrrrrrrrrrrrrr

Step-by-step explanation:

Why is P(A) •P(B/A) = P(B) • P(A/B)

P/B + P = A

P/B/P

- A

Which of the following is the graph of y = sine (4 (x minus pi))?

Answers

Answer:

Below is an array showing the x values, and phase shifts that occur in the graph of the equation.

[tex]~~~~~x~~~~f(x)\\\\\left[\begin{array}{cc}\pi &0 &\frac{9\pi }{8} &1\\\frac{5\pi }{4} &0&\frac{11\pi }{8} &-1&\frac{3\pi }{2}&0 \end{array}\right][/tex]

Answer:

Graph A

Step-by-step explanation:

Got 100% on edge

Question
The function defined by f(t)=12(1+0.03)t can be used to determine the population, in thousands, of a town t years since 1955. According to the function, what was the population of the town in 1955 and what was the percent increase in population from year to year?

Enter a number in each box to correctly complete the sentence.

Answers

The population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.

How to explain the population?

A function assigns the value of each element of one set to the other specific element of another set. The function that gives the population of the town is given.

Since the year 1955 the value of t=0. Therefore, The population of the town in 1955 was 12 thousand. The percentage increase in population from year to year is 3%.

Therefore, the population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.

Learn more about population on:

https://brainly.com/question/25630111

#SPJ1

Question 5(Multiple Choice Worth 2 points)
(02.04 MC)
For the function f(x) = 3(x - 1)² + 2, identify the vertex, domain, and range.

Answers

Answer:

For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range

Step-by-step explanation:

The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.

The vertex is (1, 2), the domain is all real numbers, and the range is y ≤ 2.

The vertex is (–1, 2), the domain is all real numbers, and the range is y ≥ 2.

Answer:

see explanation

Step-by-step explanation:

the equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

f(x) = 3(x - 1)² + 2 ← is in vertex form

with vertex = (1, 2 )

The domain of a parabola exists for all real values of x

domain : x ∈ R

the range of the parabola are the values of y from the y- coordinate of the vertex, upwards.

range : y ≥ 2

Multiple 4 by w then subtract v from the result

Answers

Answer:

4w-v

Step-by-step explanation:

Let the number be w.

Multiplying by 4:

4w

Subtracting v,

4w-v

Lily has 655 coins that she wants to divide evenly for her 13 grandchildren.
How many coins will each grandchild receive? Will there be any leftover?
250

Answers

Answer:

Step-by-step explanation:

Each grandchild will receive 655/13 = 50 with 5 coins left over. She can keep the 5 coins and start again.

Answer

50 coins for each grandchild5 left over.

Answer:

50 coins for each grandchild

5 left over.

Step-by-step explanation:

13x50=650

655-650=5

a computer purchased for $2 500 and its value depreciates at 5% per month. a).write the equation that models the situation. explain what each equation represent. b) determine the value of the computer after 2 years. c) in which month after it is purchased does the computer's worth fall below $1 000?

Answers

Answer:

a(y=-5x+2500) b(2,380) c(25months)

Step-by-step explanation:

someone point out if I'm wrong. I'm not so sure about "c".

(how I got b)

So 2 years=24 months

y=-5x+2500

So x would be 24.

-5(24)+2500

-120+2500

2,380

Angela bought a bookmark in the shape of an arrow as shown below. The base and height of the triangle are both 3 inches.

Answers

The area of a 2D form is the amount of space within its perimeter. The area of the arrow is 11.25 in².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

For the given problem, the image is given below.

The area of the arrow is,

Area =  Area of rectangle + Area of triangle

        = (1.5 in × 4.5 in) + (0.5×3×3)

        = 6.75 in² + 4.5 in²

        = 11.25 in²

Hence, the area of the arrow is 11.25 in².

Learn more about the Area:

https://brainly.com/question/1631786

#SPJ1

what is the product of the binomals below (2x+3) (3x+3)

Answers

Answer:

[tex]3*(2x+3)*(x+1)[/tex]

Step-by-step explanation:

pull like terms from the problem to re-arrange it into a product

[tex]\left(2x+3\right)\left(3x+3\right)\\3x + 3 = 3 \cdot (x + 1)\\3 \cdot (2x + 3) \cdot (x + 1)\\[/tex]

Find the dependent value
for the graph
y = 15 - 3x
when the independent value is 2.
= [?]

Answers

The dependent value for the graph given the independent value is 9.

What is the dependent value?

The independent variable is the variable that explains the dependent variable. The dependent variable is the value that the independent variable determines.

The dependent variable is y and the independent variable is x.

y = 15 - 3(2)

y = 15 - 6

y = 9.

To learn more about independent variables, please check: https://brainly.com/question/26287880

#SPJ1

Which is more, 20 inches or 1 foot?

Answers

Answer:

20 inches

Step-by-step explanation:

there is only 12 inches in a foot

Coach Sloan is responsible for recruiting male athletes to join the European
Masters track and field team. To improve his recruitment strategies, he wants to
investigate the connection between an athlete's height and 3000-meter run time.
Coach Sloan has recorded the heights of the men on the track and field team (in
centimeters), x, and their best 3000-meter times (in minutes), y.
The least squares regression line of this data set is:
y = -0.081x + 21.412
How quickly does this line predict a man who is 166 centimeters tall would run the 3000-
meters?
Round your answer to the nearest thousandth.
minutes

Answers

Using the line of best fit, it is found that the projected time for a man who is 166 cm tall is of 7.966 minutes.

What does the line of best fit gives?

It gives the project time in minutes to run the 3000 meters for a men of a height of x centimeters, according to the following function:

y = -0.081x + 21.412.

Hence, for a men of 166 centimeters, x = 166 and the projected time in minutes is given as follows.

y = -0.081(166) + 21.412 = 7.966.

More can be learned about line of best fit at https://brainly.com/question/17261411

#SPJ1

NEED HELP QUICK DUE TMR MEAN AND MEDIAN

Answers

For 8. The answer is 5.
9. The answer is 27
10. The answer is 3
And for 11. The answer is 2.

If you want me to explain how I got those answers let me know. Hope this helps.

It’s confusing, would the answer be square root 7 over 4?

Answers

Answer:

[tex]\tan U = 1[/tex]

Step-by-step explanation:

[tex]\text{Apply Pythagorean theorem,}\\\\~~~~~~\text{Hypotenuse}^2 = \text{Base}^2 + \text{Perpendicular}^2\\\\\implies UT^2 = UV^2 +VT^2\\\\\implies UV^2 = UT^2 -VT^2\\\\\implies UV^2 = \left(7\sqrt 2 \right)^2 - 7^2\\\\\implies UV^2 = 49(2)-49\\\\\implies UV^2 = 49\\\\\implies UV = \sqrt{49} \\\\ \implies UV = 7[/tex]

[tex]\text{Now,}\\\\~~~~~~~~\tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}\\\\\\\implies \tan U = \dfrac{7}{7}\\\\\\\implies \tan U = 1[/tex]

help help help help help

Answers

it's 8! range is just the greatest value minus the lowest value
(=^_^=)

What is the area of the circle

Answers

Answer:

201.062in²

Step-by-step explanation:

area for formula of a circle

[tex] {r}^{2} \pi[/tex]

we can now plug in the radius to solve

[tex] {8}^{2} \pi \\ 64\pi \\ 201.062[/tex]

that is the answer

- kan Academy Advance

Which of the following expressions is equivalent to 14xy – 28x – 36y + 48? 2(7x – 6)(y – 2)(3y + 4) 2(7x – 6)(y – 2)(3y – 4) 2[7x(y – 2) – 6(3y – 4)] 2[7x(y – 2) – 6(3y + 4)]

Answers

The expression that is equivalent to 14xy – 28x – 36y + 48 is 2[7x(y-2)-6(3y-4)]

Factorizing expressions

Factorization is a way of separating the equations into two separate factors.

Given the expression below;

14xy – 28x – 36y + 48

Group

(14xy – 28x) – (36y + 48)

14x(y - 2) - 12(3y-4)

Factor out the value of 2 from both terms

2[7x(y-2)-6(3y-4)]

Hence the expression that is equivalent to 14xy – 28x – 36y + 48 is 2[7x(y-2)-6(3y-4)]

Learn more on factorization here: https://brainly.com/question/25829061

#SPJ1

Answer:

2[7x(y – 2) – 6(3y – 4)]

Step-by-step explanation:

I got it right on the test.

Other Questions
Consider the graph of the function f(x)=(x2)12 below. Which statements are true about the function f(x) ? Choose all that are correct. A The minimum value of f(x) occurs at the point x=0 . B The function does not reach a maximum value. C The function is increasing for all values of x larger than 2. D For some values of x , f(x) Which type of professor is essentially apart-time, postsecondary teacher?A. adjunctB. emeritusC. provost Which has a great influence on one's sense of self, in addition to self-confidence, self-respect, and values?ObeliefsO attitudeOperceptionsO actions 2.) which number could not be a value of y if: y = 4x2-6 a.) 30 b.) 10 c.) -6 d.)-12 If DE = x + 1, EF = 2x, and DF = 10, what is DE Solve the inequality. Write the solution set in interval notation and graph it.12x183(3x - 13)O(-, -7]-9-6-5O(-, -7)O (-7,00)20O [-7,00)-8t-8-8-854+7545-6d-6-Si What happens to water molecules when water vapor changes to liquid water?A. They form hydrogen bonds that hold them together loosely.B. They form chemical bonds that create a rigid structure.C. They form oxygen bonds that hold them together tightly.OD. They form chemical bonds that allow them to move more freely.SUBMIT Which of the following factors contributed to American consumer spendingduring the 1920s?A. Rich people welcomed middle-class people into their homes andschools. B. Products that were imported from other countries were veryinexpensive.C. An excess of luxury goods raised the standard of living foreveryone.D. People were willing to borrow money to buy products instead ofsaving for them. Which of the following is NOT a proposed explanation of dreams?Select one:a.Dreams represent the current concerns or problems in our life.b.Dreams provide a channel for the release of built-up energy.c.Dreams are a modification of our normal cognitive processes.d.Dreams represent creative activity during sleep. What are the domain and range of the functionrepresented by the set of ordered pairs?{(-3, 2), (-2, 1), (-1,0), (0, -1)} In DEF, sin D=24/25. What is cos E? [Worth 20 points]A. 24/25 B. 7/25C. 25/7D. 7/24 Whats the difference in these two questions and why did we divide in one and multiple in one ( also why did we divide by8 in question 2) Find the solutions to the equation below.Check all that apply.6x +7x-5=0A. x= -2B. x = 5C. x = -5/D. x = 1/1/2Ex= 1/3O F.x= -1/3 please help What number should be placed in the box to help complete the division calculation? Which of the following events led most directly to the end of World War II in Europe? I want to know the:X-interceptsY-intercepts Please accurate answers only! important of science and technology in nepal(essay) Are these structure form a week bases? In 1920, American voters elected a President who promised what are 4 functions of a probation/parole officer