What is the largest 4- digit number that is divisible by 3, 6, and 9? Explain how you know.

What Is The Largest 4- Digit Number That Is Divisible By 3, 6, And 9? Explain How You Know.

Answers

Answer 1
Answer: 9990

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

Explanation:

Start with the largest four digit number possible (9999) and see if it's divisible by 3, 6 and 9

9999/3 = 33339999/6 = 1666.59999/9 = 1111

When dividing the number over 6, we don't get a whole number. So 6 is not a factor of 9999, and we cross 9999 off the list.

------------------------

Decrease the number by 9. We do this because the result will be another multiple of 9 (which is automatically also a multiple of 3 as well, since 9 = 3*3)

So we go from 9999 to 9990

Repeat the last set of steps we did earlier

9990/3 = 33309990/6 = 16659990/9 = 1110

Every result is a whole number, which shows that 9990 is a multiple of 3, 6 and 9. In other words, 9990 is divisible by 3, 6 and 9. It's the largest such 4 digit number.


Related Questions

The table shows how many male and female students attended two different movies. What is the probability that a randomly chosen person from this group is mail and attended an action movie? Round your answer to two decimal places.

Answers

B
Answer -0.43
Just because I took the quiz

Answer:

the answer is d trust me 0.22

Step-by-step explanation:

Can anyone help !! Please

Answers

Answer:

the first question is x=68/3 in standard from it is 3x=68

the second question is x= - 11/10

Step-by-step explanation:

for the second question the negative is beside the fraction.

Need help solving for x, look at image above

Answers

Answer:

x = 1.2

Step-by-step explanation:

We can use a ratio to solve since they are similar triangles

6        (6+4)

----- = ---------

x             2

Using cross products

6*2 = (6+4)*x

12 = 10x

Divide by 10

12/10 = x

1.2 =x

Hope this help!!!

Have a nice day!!!

An aeroplane takes 4 hours to travel a distance of 440 0km. Another aeroplane travels at a speed which is 100km per hour less than the first aeroplane. How long will take the second aeroplane to travel he same distance as the first?​

Answers

Answer:

7480 hours

Step-by-step explanation:

440 - 100 = 340

LCM of 440 and 340

440 = 2 × 2 × 2 × 5 × 11

340 = 2 × 2 × 5 × 17

LCM = 2 × 2 × 2 × 5 × 11 × 17

LCM = 7480

Which of the following exponential functions represents the graph below

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

The exponential function is decreasing everywhere, so the base of the exponent must be less than 1. Only one answer choice fits.

Suppose that prices of a gallon of milk at various stores in one town have a mean of $3.91 with a standard deviation of $0.13. Using Chebyshev's Theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17

Answers

Answer:

The minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17 is of 75%.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

In this question:

We have a mean of $3.91 and a standard deviation of $0.13.

Using Chebyshev's Theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17?

3.65 = 3.91 - 2*0.13

4.17 = 3.91 + 2*0.13

Within 2 standard deviations of the mean, so, by the Chebyshev's Theorem, the minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17 is of 75%.

HELPPP WHICH KNE DO I PICKK LEASE I NEED TO FO THIS JOW

Answers

Answer:

first and third option are correct.

Step-by-step explanation:

6(x+3)

=6*x + 6*3

=6x + 18

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Answers

[tex] \large{ \boxed{ \tt{OUR \: ANSWER : \underline{ \$ \: 583.3125}}}}[/tex]

Well , You can solve this question using two ways. I'm gonna use the both ways to make you clear and the one which you can easily understand , pick up that way and start solving another question as similar as this one.

[tex] \large{ \tt{❃ \: FIRST \: METHOD }} : [/tex]

This method is related to the unitary method. Let's start :

We're provided - Amount Kelly earns per hour for gardening = $ 12.75 and we're asked to find out the amount she earn if she worked 45.75 hours this month.

We know , Kelly probably earns more money if she worked 45.75 hours comparison to if she worked 1 hour. So You just multiply 45.75 & 12.75 , you would get $ 583.3125 and that's your final answer.

[tex] \large{ \tt{❃ \: SECOND \: METHOD}} : [/tex]

This method is related to the proportion. If you haven't learned about it yet , use the above way to solve the similar type of questions. Let's start :

Let Kelly earns X dollars if she worked 45.75 hours this month. [ Now , See the attached picture ]

Here , we can see the time is increased which implies that money will surely be increased. Such type of proportion is called direct proportion.

Here , the ratio of time ( in hours ) = 1 : 45.75 and the ratio of amount ( in dollars ) = 12.75 : x . Now , Set up an equation and solve for x :

[tex] \large{ \tt{ ❁ \: \frac{1}{45.75} = \frac{12.75}{x}}} [/tex]

[tex] \large{ \tt{↦ \: 1 \times x = 45.75 \times 12.75}}[/tex]

[tex] \large{ \tt{↦x = \$ \: 583.3125}}[/tex]

Hence , She earned $ 583.3125 .

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What is the mode and the median?
1.2.6.6.7.8.9.9
Cual es la moda y la mediana​

Answers

Median Example

For the data set 1, 1, 2, 5, 6, 6, 9 the median is 5.
For the data set 1, 1, 2, 6, 6, 9 the median is 4.

An eight-sided die, which may or may not be a fair die, has four colors on it; you have been tossing the die for an hour and have recorded the color rolled for each toss. What is the probability you will roll a yellow on your next toss of the die

Answers

Answer:

[tex]P(Yellow) = \frac{29}{147}[/tex]

Step-by-step explanation:

Given

[tex]Brown = 27\\Purple = 47\\Yellow = 29\\Green = 44[/tex]

Required

[tex]P(Yellow)[/tex] --- next roll to be yellow

This is calculated as:

[tex]P(Yellow) = \frac{Yellow}{Total}[/tex]

So, we have:

[tex]P(Yellow) = \frac{29}{27 + 47 + 29 + 44}[/tex]

[tex]P(Yellow) = \frac{29}{147}[/tex]

What is the slope of the line that contains the points in the table?
A. -6
B. 2
C.-3
D. 3

Answers

Answer:

-3

Step-by-step explanation:

change in y over the change in x

pick to points and use slope formula

9-3

0-2

that's 6/-2 = -3

⚠️⚠️HELP DUE IN 3 HOURS⚠️⚠️

If f(1)=10 and f(n)=-2f(n-1) then find the value of f(5)

Answers

9514 1404 393

Answer:

  f(5) = 160

Step-by-step explanation:

The first several terms of the sequence are ...

  10, -20, 40, -80, 160, -320, 640, ...

Each term is -2 times the previous term.

  f(5) = 160

Alex wants to arrange chairs in such a way that the number of chairs in a row is equal to the number of the columns.He has ordered 5100 tables.
a)How many more tables needed to arrange in such a way that he planned? Justify your answer
b)How many chairs can he remove to arrange in a way that he wants? Justify your answer.

Answers

Answer:

84

59

Step-by-step explanation:

In other to have the same number of chayes in both rows and columns ;

If the Number of chairs per row = x ; then number of chairs per column = x

Then the total number of chairs needed = x * x = x²

Hence, if there are 5100 chairs ;

Number of chairs needed more ;

Take the square root of 5100 ;the round to the next whole number :

B.) For number of chairs to be removed ;

Take the square root of 5100 and round down to the whole number.

Hence,

A.) = √5100 = 71.414 = 72

72² - 5100 = 84

B.) 5100 = 71.414 = 71

5100 - 71² =

Three more than the product of six and a number, increased by nine in the simplest form

Answers

Answer: 12+6x

Step-by-step explanation:

three more means addition +3

the product of 6 and a number means multiplying 6 by a variable 6x

increased by 9 means addition +9

put it together and we have 3+6x+9

now we combine like terms

3+9+6x

12+6x

A 640-ounce bag of dog food contains 75 equal-sized portions. How big will each portion be? Use compatible numbers to solve. A. Between 7 and 8 ounces B. Between 8 and 9 ounces C. Between 9 and 10 ounces D. Between 10 and 11 ounces

Answers

Answer:

B

Step-by-step explanation:

If you do 640/75 that equals 8.5333 etc. That is between 8 and 9!

Hope that helps!

Please help! 35 points

Answers

Answer:

10.A

11.A

12.A

Step-by-step explanation:

thank me later

Which product is positive?
(1) (1943)-3)
(13)04-1)-4)
O
5
3

Answers

Answer:

El 5 y el 3

Step-by-step explanation:

La primera y la segunda saldrá un negativo ya que hay un negativo y con eso nunca saldrá positivo.

La tercera es 0, no es positivo ni negativo

La cuarta y quinta es positivo

Can someone help me?

Answers

Answer:

1. True, because when performing the calculations in both sides of the equation, we find that the left value is indeed the same as the right value

4-3+5 = 1+5 = 6

-6+8+4 = 2+4 = 6

6=6, so the sentence is correct

2+5 = 19-12 => 7=7, true

5-4-3-2-1 = 30-34-1 => -5=-5, true

2(x+5)-4x = 3(x-2)-5x+16

=> 2x+10-4x = 3x-6-5x+16

=> -2x+10 = -2x+10, true

Step-by-step explanation:

the other two sentences lead to false

4/5 + 1/5 = 2 - 1 - 1, => 5/5 = 1 = 0, false

2(x+8) = 2x-8, => 2x+16 = 2x-8 => 16=-8, false

If v = 35 , a = 4 , t = 5 and v = u + a t , evaluate u .

Answers

v = u + at

=> 35 = u + (4×5)

=> 35 = u + 20

=> 35 - 20 = u

=> 15 = u

Step-by-step explanation:

v = u + a t

35=u+ 4(5)

35-20=u

u=15

: (570)=2 م Let m 1 = (342) and m .16 = m1= =OFE هم (​

Answers

Answer:

x = 6

m<1 = 20°

m<CFE = 140°

Step-by-step explanation:

m<1 = (3x + 2)°

m<2 = (5x - 10)°

✔️Given that FB bisects AFC, therefore,

m<1 = m<2

Substitute

3x + 2 = 5x - 10

Collect like terms and solve for x

3x - 5x = -2 - 10

-2x = -12

-2x/-2 = -12/-2

x = 6

✔️m<1 = 3x + 2

Plug in the value of x

m<1 = 3(6) + 2

m<1 = 18 + 2

m<1 = 20°

✔️m<CFE = 180° - m<AFC (angles on a straight line)

m<CFE = 180° - (m<1 + m<2)

m<CFE = 180° - (20 + 20)

m<CFE = 180° - 40°

m<CFE = 140°

In parallelogram DEFG if m FGD=125 find m GDE

Answers

9514 1404 393

Answer:

  55°

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary.

  m∠GDE = 180° -m∠FGD = 180° -125°

  m∠GDE = 55°

find the polynomial of minimum degree, with real coefficients, zeros at x=-4+1i and x=8, and y intercept at -408

Answers

Answer:

(x-8)(x+4-i)=x^2+4x-ix-8x-32+8i=x^2-(4+i)x-32+8i

y=x^2-(4+i)x-32+8i

Check:

D=16+8i-1+128-32i=143-24

help me plz
this is very important for me ​

Answers

Step-by-step explanation:

A line with the specific numbers plotted on it, numerical order

Answer:

1- Put the letter A on positive 7

2- Put the letter B on positive 5

3- Put the letter C on 0

4- Put the letter D on negative 4

5- Put the letter E on negative 9

Anna needed to let everyone in the music club know the time of its next meeting. She called two people and asked each of them to call two other people, and so on. if it takes one minute to call two people, how many phone calls were made during the fifth minute?

Answers

Answer:

62

Step-by-step explanation:

In one minute Anna called 2 people

the next minute the 2 people each called 2 people making it 4 so I'll draw something like a branch chain to calculate so it will look like the fig above

I'm not too sure but I tried my best.

How can she find the coordinates of the new point without graphing the point?

Answers

How can she find the coordinates of the new point without graphing the point?

If you know the coordinates of any two points on a straight line, you can compute its slope without looking at its graph. Every point has two coordinates: an x-value and a y-value, which are expressed as an ordered pair (x, y). The x value indicates the horizontal location of a point.

☆彡Hanna

#CarryOnLearning

What is the value of cos C?

Answers

Answer:

15/17

Step-by-step explanation:

cos=opp/adj

cos C=15/17

If the total surface area of hemispher is 7392 square cm. Them find its radius.​

Answers

Answer: The radius of the hemisphere is (R) = 28 cm

Below is a frequency distribution for our RCCC sample of men's heights.
Class Class Frequency Midpoint (inches)
64-65 4
66-67 4
68-69 4
70-71 5
72-73 10
74-75 4
a. Fill in the midpoint of each class in the column provided.
b. Enter the midpoints in L, and the frequencies in L2, and use 1- VarStats to calculate the mean and standard deviation of the frequency distribution. Using the frequency distribution, I found the mean height to be ___________with a standard deviation of____________
c. Now, let's compare the mean of the frequency distribution you just found in part (b), which is an estimate of the actual sample mean, to the actual sample mean you found in (#1).
Using the frequency distribution in (a), I found the mean height to be___________ inches, while using the actual data in #1, I found the mean height to be___________ inches. The true sample mean (using all the data) and the sample mean estimated from a frequency distribution can be fairly close to each other or very different. In this case, do you think the two means were close___________ Using complete sentences, explain why you think the two means came out so close, or why they came out so different, whichever the case may be.

Answers

Answer:

[tex]\begin{array}{ccc}{Midpoint} & {Class} & {Frequency} & { 64.5} & {64-65} & {4} & {66.5 } & {66-67} & {4} & {68.5 } & {68-69} & {4} &{70.5 } & {70-71} & {5} & {72.5 } & {72-73} & {10} & {74.5 } & {74-75} & {4}\ \end{array}[/tex]

Using the frequency distribution, I found the mean height to be 70.1129 with a standard deviation of 3.2831

Step-by-step explanation:

Given

[tex]\begin{array}{ccc}{Midpoint} & {Class} & {Frequency} & { } & {64-65} & {4} & { } & {66-67} & {4} & { } & {68-69} & {4} &{ } & {70-71} & {5} & { } & {72-73} & {10} & { } & {74-75} & {4}\ \end{array}[/tex]

Solving (a): Fill the midpoint of each class.

Midpoint (M) is calculated as:

[tex]M = \frac{1}{2}(Lower + Upper)[/tex]

Where

[tex]Lower \to[/tex] Lower class interval

[tex]Upper \to[/tex] Upper class interval

So, we have:

Class 64-65:

[tex]M = \frac{1}{2}(64 + 65) = 64.5[/tex]

Class 66 - 67:

[tex]M = \frac{1}{2}(66 + 67) = 66.5[/tex]

When the computation is completed, the frequency distribution will be:

[tex]\begin{array}{ccc}{Midpoint} & {Class} & {Frequency} & { 64.5} & {64-65} & {4} & {66.5 } & {66-67} & {4} & {68.5 } & {68-69} & {4} &{70.5 } & {70-71} & {5} & {72.5 } & {72-73} & {10} & {74.5 } & {74-75} & {4}\ \end{array}[/tex]

Solving (b): Mean and standard deviation using 1-VarStats

Using 1-VarStats, the solution is:

[tex]\bar x = 70.1129[/tex]

[tex]\sigma = 3.2831[/tex]

See attachment for result of 1-VarStats

Solving (c): Compare the calculated mean to the actual mean

The actual mean is missing from the question, so I will make assumptions in this part

Assume they are close

This means that the selected sample is a reflection of the actual population where the samples are selected.

Assume they are not close

This means that the selected sample does not reflect the actual population where the samples are selected.

Soda is sold in aluminum cans that measure 7 inches in height and 2.8 inches in diameter. How many cubic inches of soda are contained in a full can?

Answers

9514 1404 393

Answer:

  43.1 in³

Step-by-step explanation:

The volume can be computed using the formula ...

  V = (π/4)d²h . . . . where d is the diameter and h is the height

For your dimensions, the volume is ...

  V = (π/4)(2.8 in)²(7 in) ≈ 43.103 in³

A full can contains a volume of about 43.1 cubic inches.

change the following into mixed fraction 19/6​

Answers

answer: 3 1/6
Explanation:
1. divide the numerator by the denominator
2. write down the whole number result
3. use the remainder as the new numerator

Answer:

6 1/6

Step-by-step explanation:

Divide the numerator (19) by the denominator (6)

Write down the whole number result which in this case would be 3

Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number. which in this case is 1/6

therefore the answer is 6 1/6

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