Answer only. What is the greatest possible sum of the digits of a six-digit number that is a multiple of 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11?

Answers

Answer 1

Answer: 36

The LCM of 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11 is 2 × 3 × 2 × 5 × 7 × 2 × 3 × 11 = 27720.

A multiple of 27720 will end in 0, and the sum of its digits will be a multiple of 9.

The largest 6-digit number which is multiple of 9 with last digit of 0 is 999990, and the sum of its digits is 45. 45 is not a multiple of 27720, and there is no other way to get a digit sum of 45.

We now look at the next biggest multiple of 9, 9 × 4

= 36.

The largest 6-digit multiple of 27720 is 27720 × 36 = 997920, and the sum of its digits is 36.


Related Questions

Mr. Valenzuela’s new bottle of shampoo contains 60 ounces of shampoo. He uses One-fourth ounce of shampoo each time he washes his hair. Which equation can be used to find x, the number of washes after which 24 ounces will remain in the bottle?

Answers

1/4(24)= 6 60-6= 54 the answer is 54 ounces of shampoo left

Answer:

60 - 1/4x = 24

Step-by-step explanation:

Let θ be an angle in quadrant IV such that sinθ=-3/4. Find the exact values of secθ and cotθ.

Answers

cos2(θ) + sin2(θ) = 1

sec(θ) = 1/cos(θ)

cot(θ) = cos(x)/sin(θ)

 

sin(θ) = -3/4

 

cos2(θ) + sin2(θ) = 1

cos2(θ) = 1 - sin2(θ)

cos2(θ) = 1 - 9/16 = 7/16

cos(θ) = ±√(7/16) = √7/16  (cosine is positive in Q IV)

 

sec(θ) = 1/cos(θ) = 4/√7

 

cot(θ) = cos(θ)/sin(θ) = (4/√7)/(-3/4) = -16√7/21

The exact values of secθ = 4/√7 and cotθ = -16√7/21

What is Trigonometric functions?

Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

Given that,

sinθ = -3/4

∵sin²(θ) +cos²(θ) = 1

∴cos²(θ) = 1 - sin²(θ)

cos(θ) = √(1 - sin²(θ))

cos²(θ) = √(1 - 9/16 )

cos(θ) = ±√(7/16) = √7/4  (cosine is positive in quadrant IV )

sec(θ) = 1/cos(θ) = 4/√7

∵cot(θ) = cos(θ)/sin(θ)

∴cot(θ)= (4/√7)/(-3/4)

cot(θ) = -16√7/21

The exact values of secθ = 4/√7 and cotθ = -16√7/21

Learn more about Trigonometric functions

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In what form is the following linear equation written?
v-3={(x - 1)
O A. Standard
O B. Point-slope
O C. Rise-run
O D. Slope-intercept

Answers

Answer:

B

Step-by-step explanation:

Point slope is in the form

(y - y1) = m(x - x1)

where x1 and y1 are the coordinate of any point on the line, and m is the slope

The others do not work

Answer:

B.

Step-by-step explanation:

This is the point-slope form:

y - y1 = m(x - 1)      where m = the slope.

Looks like you have a typo in  your equation.

10. Solve for y in the equation -y + 9 = 23.
A.y=-14
B.y = 14
O C. y = 32
D.y=-32

Answers

It is A because you have to divide by a negative one

Answer:

A. y = -14

Step-by-step explanation:

Subtract 9 from its self and from 23 in order to isolate -y

-y + 9 = 23

- 9 -9

0 14

-y is now Isolated.

-y = 14

Generally, when you have a letter representing a number by itself such as -y, it is indicated that therecis always a 1, example -y = -1y, x = 1x, however 3y does not equal 13y or 31y. 3y already has a number in front of it so therefore, there is no need to include the number 1 in front of y.

Because -y is the same as -1y, that is a multiplation representation. -y is the same as -1 x y so the next step is to isolate y from -1. In order to do that, you will need to divide -1 by 1 and 14 by 1. (Remember, (-) (-) = + and (-) (+) = - and (+) (+) = +.)

-y = 14

-1 -1

y = -14

What's the common difference of the following arithmetic sequence?
11, 17, 23, 29, 35, 41

A) 6
B) 5
C) 7
D) 8

Answers

Answer:

Step-by-step explanation:

6

Take the higher number and subtract the next lower value. It will tell you the difference.

17-11=6

Answer:

A) 6

Step-by-step explanation:

11+6=1717+6=2323+6=2929+6=3535+6=41

What is the length of L

Answers

Answer:

Assuming the height is still 1 your answer would be 700

Step-by-step explanation:

Help, What is the answer?

Answers

Answer:

probably jay z albulm 4:44

Step-by-step explanation:

A baker bought 7,500 grams of flour for $19.20. How much did each kilogram of flour cost

Answers

Answer:

7,5 kg = 19,20.  

Step-by-step explanation:

19,20/7,5

= 2,56 $

(2,56 * 7,5 =19,20)

Identify the coordinates of the vertex of f(x) = (x – 3)2 + 14, and identify whether it's an absolute minimum or absolute maximum.

Which is correct:
A) (–3, 14), absolute maximum
B) (3, 14), absolute minimum
C) (3, 14), absolute maximum
D) (–3, 14), absolute minimum

Answers

Answer:

The answer is option B.

Hope this helps.

Answer:

B

Step-by-step explanation:

1. Two people share £350 in the ratio 1:6.
Calculate each share.
£..........£​

Answers

______________________________

Let the shares be X and 6x

X+6x=350

or,7x=350

or,X=350/7

X=50

Replacing value,

6x=6*50=300

So one person gets $ 50

Another person gets$300

Hope it helps

Good luck on your assignment

___________________________

Answer:

1/7 x 350 = £ 50

6/7 x 350 = £ 300

What is the Lowest Common Denominator between 3/5 and x/x+2

Answers

Answer:

Step-by-step explanation:

Denominators are 5 and ( x+2)

As there is no common factors, to find the lowest common denominator multiply them

LCD = 5*(x +2)

What is the length of the hypotenuse of the triangles


Square of 94cm

Square of 161cm

17cm

23cm

Answers

Answer:

To find the Hypotenuse the Pythagoras theorem is used

h² = a² + b²

h = hypotenuse

a = 15cm

b = 8cm

h = ?

h² = 15² + 8²

h = √225 + 64

h = √289

h = 17cm

The Hypotenuse is 17cm

Hope this helps.

Can someone please help me?

Answers

Idk try Socratic it’s low key
I’m dumb so I have no idea

Adam is taking out a $197,000 mortgage. His bank offers him an APR of 4.45%. He wants to compare monthly payments on a 15- and 30- year mortgage. What is the difference in the two monthly payments.

a) 509.68

b) 365.75

c) 402.58

d) 231.87

Answers

The answer would be A. 509.68

Five sixth-grade classes collected canned food for the local food bank. Each class collected a different number of cans. Use the following clues to determine how many cans were collected in each class.

The five classes that collected cans include two classes with totals in the three hundreds, two classes with totals in the four hundreds, and one class with a total in the five hundreds.
The smallest total was 308 cans.
The range of the total cans collected was 262.
The median number of cans collected was 421.
The total of the two classes in the three hundreds was 706.
The total number of cans collected from all the classes was 2,130 cans.


List the classes from least to greatest.

Answers

Answer:

308, 398, 421, 433, 570

Step-by-step explanation:

To start we know the smallest is 308 cans, so that is the first class.

Next, it says the range is 262. The range is maximum minus the minimum. Since we know the minimum(308), that means 308 + 262 = 570 and 570 is the maximum or the class with most collected cans.

Then, it says the median or the middle number is 421, the middle number in a class is 3. So, the third class collected a total of 421 cans.

After that, it says the two classes in the three hundred, or the first and second class, has a total of 706 cans. So, if we do 706 - 308 we get the second class. Which collected 398 cans.

Finally, it says the total all the class collected is 2130. So, if we add all the values we have know and subtract it from the total of all the class we get the missing class or the fourth class. So, 308 + 398 + 421 + 570 = 1697, and 2130 -1697 = 433. Which the fourth class.

Least to greatest:

308

398

421

433

570

Write the slope intercept form Through:(1,-5) and(4, -1)

Answers

Answer:

Slope intercept form is

[tex]y=\frac{4}{3} x- \frac{19}{3}[/tex]

Help me please I don’t understand

Answers

Answer:

14/11

Step-by-step explanation:

A rational number times a rational number is rational

A rational number is written as a/b

14/11 * 1/2 = 7/11

This is rational

What is one way to compare fractions with unlike denominators? include an example to support your reasoning

Answers

Answer:

Compare two fractions with different numerators and different denominators (e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2). Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions (e.g., by using a visual fraction model).

Step-by-step explanation:

hope this helps

Which ordered pair is generated from the equation shown below?

y = 3x + 2

O A) (3, 11)
OB) (3,9)
OC) (5, 15)
OD (2,4)

Answers

Answer:

A

Step-by-step explanation:

let's try A. 3(3)+2=9+2=11

11=11

So A is right

A 3(3)+2=9+2=1
11=11
Answer = A

1
0
1
Which equation matches the number line?
S
2+ (4)
1
1
3
1
1

Answers

Answer:

The ans from the bottom left

A beverage manufacturer performs a taste-test and discovers that people like
their fizzy beverages best when the radius of the bubbles is about 0.7 mm.
According to the formula below, what would be the volume of one of these
bubbles?

Answers

Answer:

The Answer is: B= about 1.44mm^3

Step-by-step explanation:

hope I could help you out :)

The volume of bubble is 1.44 cubic mm.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

Given data as :

Radius of the Bubble (r) = 0.7 mm

Volume of the bubble is given by the formula

[tex]r =\sqrt[3]{\dfrac{3v}{4\pi} }[/tex]

Taking cube on both sides

r³ = 3v/4π

Rearrange the equation,

v = 4πr³/3

Substitute the value of r in the above equation,

v = 4π(0.7)³/3

Substitute the value of π = 3.14

v = 4(3.14)(0.343)/3

v = 4.3/3

v = 1.44

Hence, the volume of bubble is 1.44 cubic mm.

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Consumer Math work. Please help


Mr. Cruz earns $11.25 an hour at his part-time job. Last week he worked 30 hours. What was his gross pay for the week? Another way of asking this question is; how much is she paid before taxes and deductions are subtracted? *

Answers

Answer:

$337.5

Step-by-step explanation:

He would get $337.5 because if he gets $11.25 every hour you just multiply $11.25 by 30 hours.

five less than 2 times a number is equal to the sum of the number and 3. What is the number?

Answers

Answer:

Value of Number = 8

Step-by-step explanation:

Consider the equation below;

[tex]If x - " A Number " -\\( 2 * x ) - 5 = x + 3,\\[/tex]

Now using this equation let us solve for x;

[tex]( 2 * x ) - 5 = x + 3 - Take ( 2 * x ) - 2x,\\2x - 5 = x + 3 - Add 5 on Either Side,\\2x = x + 8 - Subtract x From Either Side,\\\\x = 8, ( Solution )\\\\Conclusion ; x = 8[/tex]

Knowing this, we can say;

[tex]Value of Number = 8,\\if x - Value of Number ( Given ),\\\\Solution ; Value of Number = 8[/tex]

The value of unknown number x will be 8.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have been given a statement as;

"five less than 2 times a number is equal to the sum of the number and 3"

Let the unknown number be x.

So, from the given statement,

2x- 5 = x + 3

Subtract x on both sides;

2x- 5 = x + 3

2x- 5 -x = x + 3 - x

x - 5 = 3

Add 5 on both sides;

x - 5 = 3

x = 8

Therefore, the value of unknown number x will be 8.

Learn more about equations here;

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HELP QUICK
An architect designs a rectangular flower garden such that the width is exactly​ two-thirds of the length. If 280 feet of antique picket fencing are to be used to enclose the​ garden, find the dimensions of the garden. The length of the garden is ? feet.

Answers

Answer:

84ft

Step-by-step explanation:

w = 2/3(L)

if 280 feet of fencing can enclose the garden,therefore the perimeter is 280 feet

perimeter = 2L + 2W

but W=2/3(L)

therefore, perimeter = 2L + 2(2/3L)

P= 2L + 4/3(L)

P= 10/3(L)

but P= 280

therefore 280= 10/3(L)

L = (3×280)÷10

L= 84 feet

Solve for xxx. 2x^2 - 12x + 18 = 02x 2 −12x+18=02, x, squared, minus, 12, x, plus, 18, equals, 0 x = {}x=x, equals

Answers

Answer:

x = 3 and x = 3

Step-by-step explanation:

The given equation is

2x² - 12x + 18 = 0

Divide both sides by 2:

x² - 6x + 9 = 0

We need two numbers that will add up to -6 and their product is 9.

The two numbers are -3 and -3.

=> x² - 3x - 3x + 9 = 0

x(x - 3) - 3(x - 3) = 0

(x - 3)(x - 3) = 0

x = 3 and x = 3

What is the range of the function represented by the graph? A. 1 ≤ y ≤ 6 B. all real numbers C. y ≥ 1 D. y ≤ 1

Answers

Answer:

C!

Step-by-step explanation:

So, it's actually very simple!

If you don't know, the domain of a function is the set of x-values that make the equation true. The range, which we are trying to find, is the set of f(x), or y values that are possible.

Now, notice how in the graph, y-values don't go below 1. So there is our limit. There is nothing else limiting the y-values the other way, so its basically a single equality.

y=1 is included in the function, of course, as it goes on y=1.

So, it's [tex]y\geq 1[/tex]

Hope this helps!

Answer:

C

Step-by-step explanation:

the guy above me is right because i got a 100% on my test.

Level 1
R.18 Identify equivalent linear expressions II KAR
Select the expressions that are equivalent to -7(75 + 1).
75-7
7(-75 + 1)
-7(-5 + 8 + 1)
-7s - 49

Answers

The answer is -7 u welcome

3 over 2 divided by 8 over 3

Answers

Answer:

Step-by-step explanation:

3/2/8/3

=9/16

Answer:

9/16

Step-by-step explanation:

3/2  ÷  8/3

Here, we are trying to divide fractions.

When dividing fractions, you can flip the second fraction, and multiply the fractions together.

Hence, our new expression would be:

3/2*3/8

We can multiply the numerators together and the denominators together.

3*3/2*8

9/16

PLEASE HELP WILL GIVE BRAINLIEST

Ralph can lay down a floor tile in 5 seconds. Bob can lay down a floor tile in 4 seconds. If both boys work together, how many seconds would it take them to install 450 floor tiles?

Answers

Answer:

1000 seconds

Step-by-step explanation:

You can start by finding the unit rate for each of them to lay down a tile. That is, how many tiles they can lay down in one second. Ralph can lay one down in 1/5 of a second, while Bob takes 1/4. 1/5+1/4=4/20+5/20=9/20 of a tile per second. Dividing 450 by 9/20, you get 1000 seconds. Hope this helps!

Do I always simplify a question before doing the operations? For example, do I always simplify a fraction before doing the operations?
For example for this question:
(8-4√2) /2 + ( 6+4√2)/ 2

I had to simplify the fraction by factoring, cancelling and then do the operation or I got it wrong.

Answers

Answer:

see below

Step-by-step explanation:

it will be easier to do calculations later if you simplify first

in this case you did the best and shortest way

you could rewrite

(8-4√2) /2 + ( 6+4√2)/ 2 as

4-2[tex]\sqrt{2}[/tex]  + 3 + 2[tex]\sqrt{2}[/tex] and then 7 + 4[tex]\sqrt2[/tex]

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