What is the least positive integer such that it is a multiple of 16 and the product of its digits is a multiple of 12?

Answers

Answer 1

Answer:

24

Step-by-step explanation:

Multiples of 16 are [tex]16,32,48,64,80,...[/tex]

Find product of each of the multiple of 16 until a number is obtained, the product of whose digits is a multiple of 12.

[tex]16=1(6)=6\\32=3(2)=6\\48=4(8)=32\\64=6(4)=24[/tex]

Here, 24 is a multiple of 12.

So,

24 is the least positive integer such that it is a multiple of 16 and the product of its digits is a multiple of 12.


Related Questions

At a movie night,1/4 of the persons were boys,5/8 were girls and the rest were adults.If there were 56 more girls than adults how many persons were in total?

Answers

Given:

Number of boys = [tex]\dfrac{1}{4}[/tex] of the total persons.

Number of girls = [tex]\dfrac{5}{8}[/tex] of the total persons.

Remaining persons are adults.

There were 56 more girls than adults.

To find:

The number of total persons.

Solution:

Let x be the number of total persons. Then,

Number of boys = [tex]\dfrac{1}{4}x[/tex]

Number of girls = [tex]\dfrac{5}{8}x[/tex]

Number of adults = Total persons - Boys - Girls

                             = [tex]x-\dfrac{1}{4}x-\dfrac{5}{8}x[/tex]

                             = [tex]\dfrac{8x-2x-5x}{8}[/tex]

                             = [tex]\dfrac{x}{8}[/tex]

There were 56 more girls than adults.

Girls = Adults + 56

[tex]\dfrac{5}{8}x=\dfrac{x}{8}+56[/tex]

[tex]\dfrac{5}{8}x-\dfrac{x}{8}=56[/tex]

[tex]\dfrac{4}{8}x=56[/tex]

[tex]\dfrac{1}{2}x=56[/tex]

Multiply both sides by 2.

[tex]x=112[/tex]

Therefore, the total number of persons is 112.

What are the degree and leading coefficient of the polynomial?

Answers

Answer:

Degree: 9

Coefficient: -1

Step-by-step explanation:

The degree of a polynomial is equivalent to the highest degree of all its terms.

The term with the highest degree in this polynomial is y^9

what that person said ya

i’m bad at decimals help plz

Answers

Answer:

<

Step-by-step explanation:

Because 3 < 4

Answer:

its <

Step-by-step explanation:

60.3 is greater than 60.44

If you break it down kinda it would be 60.30 and 60.44 and 44 is greater than 30.

Math Journal Brian says that the expressions 2(x + 2) and 3(x + 1) + 1 are
equivalent because they name the same value when x = 0. Is Brian's reasoning
correct? Explain.

PLEASE HURRY

Answers

4(x + 2) your welcome

Step-by-step explanation:

if 2(0+2)=0+4=4 Answer

3(0+1)+1=(0+3)+1=4 Answer

hope it helps

help me now i need this question right away

Answers

Answer:

It will be 120°

It because if you matched those two points you will have two angles of 90° degree inside that square and in the triangle at the above 120-90= 30 degrees for both angles and since that all angles of the triangle are equal 180 then 180-(30+30)=120°.

Sorry if my explanation isn't that good.

Gina bought a thumbdrive and 12 writting pads for $13y . Each writting pad cost$2 Find the cost of the thumbdrive​

Answers

Answer:

its 24 since each one cost 2$

Will mark brainliest if get the correct answer.

Answers

Answer:

Perimeter of rectangle before folded = 56 in

Total area after folding = 156 sq in

Step-by-step explanation:

Rectangle before folded:  l = 16 and w = 12

                                           P = 2(16) + 2(12) = 32 + 24 = 56 in.

Figure after folding:   Area of trapezoid + area of rectangle

Area of trapezoid = h([tex]b_{1} + b_{2}[/tex])/2 = 6(4 + 16)/2 = 60

Area of rectangle = lw = 16(6) = 96

Total area after folding = 60 + 96 = 156 sq in.

Note:  You could also find the area after folding by substracting the areas of the two triangles in the corners from the area of the original rectangle.  Your choice.  OK?

the last parttttttttt

Answers

Answer:

Step-by-step explanation:

35x2^10

Answer:

35,840

Step-by-step explanation:

(7 · 2^5) · (5 · 2^5) = (7 · 32) · (5 · 32) = 224 · 160 = 35,840

Write a function with a slope of 4 that includes the point (−1, 3)

Answers

Answer:

I'm not sure but I think the answer is

F(x)=3

The function with a slope of 4 can be written as F(x) = 4x + 7.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the slope is 4 and the line is passing through the point (-1,3).

The y-intercept will be calculated as,

y = mx + c

3 = 4 x -1 + c

c = 7

The equation can be written as,

y = mx + c

y= 4x + 7

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ6

Students in middle school and high school were surveyed about whether they have taken the SAT. Some of the survey results are listed here.

37% of middle school students have taken the SAT.
4% of high school students have not taken the SAT.

This information is shown in the two-way frequency table below. Drag numbers into the empty spaces to complete the table.

Answers

It’s a virus don’t believe it

What is the solution to this system of equations? ​

Answers

Answer:

(-2,2)

Step-by-step explanation:

Looking at your graph, the part were both lines intersect/meet is at point (-2,2). Since (-2,2) is the point of intersection, it is the solution to the equations.

Hope this helps ^-^

I need help with this assignment please

Answers

i believe it would be option 3: center (-1,-5), radius: √41.

At the school pay students can attend for only $7, but for aduts it costs $10

Answers

Answer:

question? I don't understand

Answer:

7s + 10a

Step-by-step explanation:

I don't see a question so I just answered with a formula...

which digit in 123.45 is in the tenths place​

Answers

Answer:

4. But if u meant like rounding it would be 123.5

Step-by-step explanation:

The coordinates of ADEF are D(3,3), E(8,3), and F(6,9). If you translate ADEF 3 units right and 2 units down, what are the coordinates of D'?
The coordinates of D'are (Type an ordered pair.)
PLEASE HELP I WILL MADK BRAINLIEST

Answers

Answer:

D(6,1) E(11,1) F(9,8)

Step-by-step explanation:

Just add 3 to the first number of each of the points since you're moving it right by 3 units (right is a positive value) and subtract 2 from the second number (since going down is a negative factor)

is a negative number to the seventh power negative

Answers

7 is an odd number since it can't be divided evenly by 2.

A negative number taken to an odd power will always be negative.

For example, -1⁵ is -1 because 5 is an odd number.

Will give brainlist! And 20 points!
factor 12x^3y completely

Answers

Answer:

I don't think 2x^3y cannot be factorised

State if the three numbers can be the measures of the sides of a triangle,
6,8,9
No
Yes

Answers

No since normally the sides would be the same length. Don’t press the links!

Solve it please 25 Points!

Answers

We can’t see the problems can you give us a link
We cant see problems

Solve for x. Round answer to the nearest tenth.
17
54°
х

Answers

The question is unclear. Maybe you can edit it?

Please help me with this problem .
sally and belvedere are collecting shirt with a ratio of 4:10. if they collected 462 shirts altogether, how many shirts did sally collect?

Answers

4+10=14

462/14=33

33x4=132

so your answer would be 132 ;)

brainleist

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

Answers

Answer:

256 miles

Step-by-step explanation:

The Pythagoras theorem is a² = b² + c² where a is the hypotenuse or longest side

To find the shorter side, the equation is rearranged so c² = a² - b² (whether it is b or c doesn't matter)

so √377² - 277² = 255.7342371

Answer to number 22

Answer: 256 miles

Find the volume of the given figure.

Answers

364.5 cm sq

or

365 1/2 cm sq

One positive number is 2 less than another. The sum of their squares is 34. What is the smaller number?

Answers

Answer:
The smaller number is 3. The number 3 squared is 9, plus the other number 5 squared, which is 25. when you add them, you get 34

Step-by-step explanation:
x = first number
y = second number
a. x+2 = y
b. x^2 + y^2 = 34
Replace y from equation a into equation b:
x^2 + (x+2)^2 = 34
Expand it
x^2 + x^2 + 4x + 4 = 34
2*x^2 + 4x = 30
2x^2 + 4x - 30=0
solving x:
x = -5 and x =3 , it says it is a positive number, then it is x is 3
and the second number, y = x + 2
y = 5
Lets test it!
3^2 + 5^ 2 = 9 + 25 = 34

7x −28 solve for inequality

Answers

Answer:

7(x-4)

Step-by-step explanation:

You can use an Algebra calculator btw.

(7a-1)^2 please help me quickly

Answers

Answer:

14a-2

Step-by-step explanation:

Please help meee! Math makes my brain hurt :(

Answers

The answer should be x=-2

between which two integers is the value of √21?

Answers

Answer:

cll fl fl gl hhcjjfftgggc vggggg

Step-by-step explanation:

ty go gu gu gu gu gu vik bm vm gn gh ucch jhbbb

jjjjk fistulakk

Gina is 16 years older than her nephew Paul. In 3 years, she will be 3 times older than Paul. How old are Gina and Paul currently?

Answers

9514 1404 393

Answer:

Paul: 5Gina: 21

Step-by-step explanation:

In 3 years, the 16-year age difference will be 2 times Paul's age. (3p -p = 2p) Then, Paul will be 8.

Paul is 5 now, and Gina is 21.

Dexter has 83 tiles left over from tiling his bathroom floor and he would like to use them to tile the front entrance of his house. Each tile has an area of 49 in^2. the function A(t)=49t represents the area A(t), in square inches that t tiles cover. What domain and range are reasonable for the function? What is the graph of the function?

Answers

Answer: [0, 396]

Step-by-step explanation:

The domain is the acceptable values of x in the function.  In this case, x = t, the number of tiles.  If you think about it, the minimum number of tiles is 0 (you can't have a negative number of tiles), and the maximum number of tiles is 44 (you only have 44 tiles).  So, the domain for this function is from 0 to 44.

0 to 44 written in interval notation is [0,44].

The range is the acceptable values of y in the function.  In this case, y = A, the area given.  A(t) = 9t, so you can use the acceptable values of t to get the range.  Again, the minimum area is 0 because you can't have negative area. To find the maximum area, plug in the maximum number of tiles: 9.

A(t) = 9t

A = 9(44)

A = 396

With the maximum number of tiles, 44, the area you get is 396 cm².  Therefore, the acceptable values of A are from 0 to 396.

0 to 396 written in interval notation is [0, 396].

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