what is the largest number in the form x987yz that is divisible by 12?

Answers

Answer 1

Answer:

998796

Step-by-step explanation:

For a number to be divisible by 12. it must be divisible by 3 and  4

Since we need the largest 6 digit number, we will take x = 9

So the number is 9987yz

Again since we need the largest number we will consider the largest 2 digit number multiple of 4 and 3.

Largest 2 digit number divisible by 4 is 96, which is also divisible by 3.

So, yz  = 96

Therefore , the largest number in the form will be : 998796

Answer 2

Answer:

The largest number is 998796

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

The largest digit you could use is 9 so, our number would be, 998799,

but the thing is that it's not divisible by 12.

The next largest would be 8. (998798) Not divisible.

7, so our number would be, 998797. Not divisible.

6, 998796. 998796/12= 83233, which means that it is divisble, so, the largest number in the form x987yz that is divisble by 12 is 998796

Please correct me if I'm wrong.


Related Questions

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°

What is the value of cos C?

Answers

Answer:

15/17

Step-by-step explanation:

cos=opp/adj

cos C=15/17

Need help pls. Kind of struggling to get an answer

Answers

Answer:

c. 216 m squared

do 6×6 to find the missing area then do 12×21 to fine whole area then subtract 252 and 36. hope this helps

the answer is c hope this helps

Please help me no links!!

Answers

Answer:

Slope = 1

Y-intercept = 4

equation = 1x + 4

Hope this helps!

Three coins are tossed. Let the event H = all Heads and the event K = at least one Heads. (match like 1-a, etc)
1. 7/8
2. 1/7
3. 1/8
a. The probability that the outcome is all heads if at least one coin shows a heads
b. P(K) =
c. P(H∩K) =

Answers

Given:

Three coins are tossed.

Let the event H represents all Heads and the event K represents at least one Heads.

To find:

a. The probability that the outcome is all heads if at least one coin shows a heads.

b. P(K) = ?

c. P(H∩K) = ?

Solution:

If three coins are tossed, then the total possible outcomes are:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Total outcomes = 8

Possible outcomes for all Heads = 1

Possible outcomes for at least one Heads = 7

Let the following events:

H = all Heads

K = at least one Heads.

Then,

[tex]H=\{HHH\}[/tex]

[tex]K=\{HHH, HHT, HTH, HTT, THH, THT, TTH\}[/tex]

[tex]H\cap K=\{HHH\}[/tex]

Now,

[tex]P(K)=\dfrac{7}{8}[/tex]

[tex]P(H\cap K)=\dfrac{1}{8}[/tex]

a. The probability that the outcome is all heads if at least one coin shows a heads is:

[tex]P(H|K)=\dfrac{P(H\cap K)}{P(K)}[/tex]

[tex]P(H|K)=\dfrac{\dfrac{1}{8}}{\dfrac{7}{8}}[/tex]

[tex]P(H|K)=\dfrac{1}{7}[/tex]

Therefore, the probability that the outcome is all heads if at least one coin shows a heads is [tex]\dfrac{1}{7}[/tex].

b. [tex]P(K)=\dfrac{7}{8}[/tex]

c. [tex]P(H\cap K)=\dfrac{1}{8}[/tex]


1 torr is equal to (1 Point)​

Answers

Answer:

1 torr = 760 atm

1 torr = 1 mmHg

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%.

Solve the equation 4x^2 - 5x -33 = -29 to the nearest tenth.

Answers

9514 1404 393

Answer:

  x = {-0.6, 1.8}

Step-by-step explanation:

Adding 33 we have ...

  4x^2 -5x = 4

Dividing by 4, we get ...

  x^2 -5/4x = 1

We can complete the square by adding the square of half the x-coefficient:

  x^2 -5/4x +25/64 = 89/64

  (x -5/8)^2 = 89/64

  x = (5 ±√89)/8 = {-0.5542, 1.8042}

The solution rounded to the nearest tenth is ...

  x = {-0.6, 1.8}

which function is the inverse of f(x)=2x+3?
f^1(x)=-1/2x-3/2
f^-1(x)=1/2x-3/2
f^-1(x)=-2x+3
f^-1(x)=2x+3.​

Answers

The answer is f ⁻¹(x) = ½x - ³/₂

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.

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

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 =

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

The square ABCD is divided into eight equal parts. The shaded area is 25 cm². What is the area of the square ABCD​

Answers

Answer:

I think the answer is 200cm^2

Step-by-step explanation:

since the square is divided into eight equal parts

and one shaded part is =25cm^2

multiply the area of the shaded part by the number of equal parts

= 25cm^2 ×8

= 200cm^2

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

Can someone please simplify this??

Answers

Answer:

0

Step-by-step explanation:

=>sec A cosec A - tan A - cot A

=>(1/sinAcosA)-(sinA/cosA)-(cosA/sinA)

You get the LCM as sinAcosA then it becomes

=>(1-sin^2(A)-cos^2(A)) /sinAcosA [1-sin^2(A)=cos^2(A)]

=>(cos^2(A)-cos^2(A))/sinAcosA

=>0/sinAcosA

=>0

Use mapping notation to describe a translation up 8 units.
A. (x,y) → (x 8, y-8)
B. (x,y) → (x,y+8)
C. (x,y) = (x+8, y+8)
D. (x,y) → (x+8, y)

Answers

B, y goes up 8, when you add 8 to y

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:

Find the value of x.

Answers

Answer:

9 sqrt(2) /2 = x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hypotenuse

sin 45 = x /9

9 sin 45 = x

9 sqrt(2) /2 = x

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

Eyjafjallajökull is a volcano in Iceland. Ina research reuption a projectile is ejected with an initial velcony of 304 feet per second. The height H, in feet is given the equation H=16t^2 + 304t

Answers

Answer:

t = 9.5 seconds

Step-by-step explanation:

Given that,

The initial velocity of the projectile is 304 ft/s

The height of the projectile is given by :

[tex]H=16t^2 + 304t[/tex]

For maximum height,

Put h' = 0

[tex]h'=-32t+304[/tex]

or

[tex]-32t+304=0\\\\t=\dfrac{304}{32}\\\\t=9.5 \ s[/tex]

So, the time taken to reach the maximum height is 9.5 seconds.

8x - (2x - 13) = 42
solve and check the equation​

Answers

Answer:

x = 29/6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

8x - (2x - 13) = 42

Step 2: Solve for x

[Distributive Property] Distribute negative:                                                     8x - 2x + 13 = 42[Subtraction] Combine like terms:                                                                    6x + 13 = 42[Subtraction Property of Equality] Subtract 13 on both sides:                        6x = 29[Division Property of Equality] Divide 6 on both sides:                                 x = 29/6

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                                                                                                  8(29/6) - [2(29/6) - 13] = 42Multiply:                                                                                                             116/3 - [29/3 - 13] = 42[Brackets] Subtract:                                                                                           116/3 - -10/3 = 42Subtract:                                                                                                            42 = 42

Here we see 42 does indeed equal 42.

∴ x = 29/6 is the solution.

Answer:

x = 29/6

Step-by-step explanation:

solve for x.

8x - ( 2x - 13 ) = 42

distribute minus sign

8x - 2x + 13 = 42

combine like terms

6x + 13 = 42

subtract 13 from both sides

6x + 13 - 13 = 42 - 13

6x = 29

Divide each side by 6

6x / 6 = 29 / 6

x = 29 / 6

Check the equation :

8x - ( 2x - 13 ) = 42

substitute the value of x in equation

8 ( 29/6) - ( 2(29/6) - 13) = 42

reduce the number with the greatest common factor 2

4 × 29 /3 - ( (29/3) - 13) = 42

calculate the product

116/3 - ( 29/3 - 13 )= 42

calculate the difference

116/3 -( -10/3 )= 42

change the sign

116/3 + 10/3 = 42

add the fractions to get 42.

42 = 42

Hence, verified.

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]

Now go to diagonals of parallelograms. You'll see two line segments, and marked with their midpoints, E and F. Verify that E and F divide the line segments equally by measuring and recording the length of the four line segments that you see.

Answers

Answer:

AE=4

EC=4

BF=2.24

FD=2.24

Step-by-step explanation:

here we go honey  

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

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.

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.

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

What is the area of this figure?

Answers

Answer:

286 mm ^2

Step-by-step explanation:

The figure is a trapezoid

The area of a trapezoid is given by

A = 1/2 ( b1+b2) *h where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 28+24) * 11

A = 1/2 (52)*11

A =286 mm ^2

Answer:

The area of this figure is 286

Step-by-step explanation:

The formula for the area of a trapezoid is A = (a+b/2)h, or the top line plus the bottom line divided by 2 times the height. a is given as 24 mm and b is given as 28 mm so 24 plus 28 is 52. 52 divided by 2 is 26. 26 times 11 is 286 therefore the answer and area is 286.

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.

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