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

Find the area of trapezoids

Answers

Answer:

Area is 10.5

Step-by-step explanation:

We can use the trapezoid formula of

[tex]A = \frac{a+b}{2}h[/tex]

A = (2 + 5) / 2 * 3 = 3.5 * 3 = 10.5

or break it into a rectangle and a triangle (natural split by y axis).

A = 2 * 3 + 3 * 3 / 2 = 6 + 9 / 2 = 6 + 4.5 = 10.5

Answer:

10.5 units²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = OS = 3 , b₁ = OC = 5 , b₂ = SK = 2 , then

A = [tex]\frac{1}{2}[/tex] × 3 × (5 + 2) = 1.5 × 7 = 10.5 units²

Please help!
How are 3(3x+5) and -9x-15 equivalent to 9x+15?

Answers

Ik the first equation you just distribute three to north numbers and it’ll give you 9x+15 and in the second one you can distribute a negative 1 and it’ll give you 9x+15

Calculate each value for ⊙P. Use 3.14 for π and round to the nearest tenth.

please help!! will mark brainliest!!

Answers

First blank: 230

Second blank: 200.6

Third blank: 113.4

The area of shaded and unshaded sector is 1.13 × P^2 and 1.99 × P^2.

How to find the surface area of some object?

Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object.

Suppose that radius of the considered sphere is of 'r' units.

Then, its surface area S would be:

[tex]S = 4\pi r^2 \: \rm unit^2[/tex]

We are given that;

P is the center, angle LPJ=130degree

Now,

To find the approximate values, we can use 3.14 for π and round to the nearest tenth:

Area of shaded sector = (13π/36) × P^2

≈ (13 × 3.14/36) × P^2

≈ 1.13 × P^2

Area of unshaded sector = (23π/36) × P^2

≈ (23 × 3.14/36) × P^2

≈ 1.99 × P^2

Therefore, by the surface area the answer will be 1.13 × P^2 and 1.99 × P^2.

Learn more about surface area here:

https://brainly.com/question/15096475

#SPJ2

How many tiles will be in figure 100?

NEED THIS ONE asap,
Will give brainlest

Answers

800
Correct if wrong

Please help me with the article help please help me

Answers

Answer:

I think it's like this

Article -6

Description: coffee........ gunguli .

who is interested in statistics?

-karen riche at the French National institute of medical research ,whose work appears in journal neurology

who is the audience?

-7000 men's and women's in the three french cities.

what kind of decision one should make after reading this article?

reading the above article I came to acknowledge that women are only benefited as they don't metabolizes coffee in same way as men.so men should take more care and control over their coffee consumption than women.

Description: coffee........ gunguli

(in here write whole sentence I just did in short cut)

A circle has a circumference of 50.24 feet. What is the radius? Use 3.14

8 feet
16 feet
25.12 feet
20.5 feeT

Answers

Answer:

r≈8ft

Step-by-step explanation:

C=2πr

r=C

2π=50.24

2·π≈7.99594ft

Two hammers and a screwdriver cost a total of 34. A hammer and 3 screwdrivers cost a total of 32. Find the price of each type of tool

Answers

Answer: 14 , 6

Step-by-step explanation:

Given

2 hammers and a screwdriver cost 34

1 hammer and 3 screwdrivers cost 32

Suppose the cost of the hammer is x and the cost of the screwdriver is y

[tex]\therefore 2x+y=34\quad\ \ldots(i)\\x+3y=32\quad \ldots(ii)[/tex]

Solving (i) and (ii) we get

[tex]x=14;y=6[/tex]

Thus, hammer cost 14 and screwdriver costs 6

Classify the triangle based on its angles

Answers

Answer:

Right-angled triangle

Step-by-step explanation:

It has a square angle, meaning it is a right angle, which is [tex]90^{o}[/tex], making it a right angled triangle

7. Jerry has 23 coins in nickels, n, and dimes, d. He
has $1.95 altogether. How many nickels does Jerry
have?

Answers

Answer:

17 nickles !

Step-by-step explanation:

First, identify the variables:

n = amount of nickels

d = amount of dimes

Next, setup the equations based on what you know.  The first equation is:

n + d = 28

For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:

0.05n + 0.10d = 1.95

This a three-step answer:

In one formula (you can use any of them; most people use the simplest one), single out the variable on one side

Apply the first formula into the second formula, and solve it to get the value of one variable

Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable

======

Step One:

n + d = 28

n + d - d = 28 - d

n = 28 - d

Step Two:

0.05n + 0.10d = 1.95

(0.05 * (28 - d)) + 0.10d = 1.95

1.40 - 0.05d + 0.10d = 1.95

1.40 + 0.05d = 1.95

1.40 - 1.40 + 0.05d = 1.95 - 1.40

0.05d = 0.55

d = 11

Step Three:

n = 28 - d

n = 28 - 11

n = 17

======

Your answer should be 17 nickels and 11 dimes.

You can double check by applying the variables into both formulas.

n + d = 28

17 + 11 = 28

28 = 28

0.05n + 0.10d = 1.95

(0.05 * 17) + (0.10 * 11) = 1.95

0.85 + 1.10 = 1.95

1.95 = 1.95

I hope this helped.

IN EFG the measure of G=90 DG=21 feet and EF=63 feet find the measure of E to the nearest degree.​

Answers

Answer:

19.5°

Step-by-step explanation:

IN EFG the measure of G=90 DG=21 feet and EF=63 feet find the measure of E to the nearest degree.​

We solve the question using Sine rule

= a/sin A = b/sin B

= 21/sin E = 63/sin 90

Cross Multiply

Sin E × 63 = 21 × sin 90

sin E = 21 × sin 90/63

E = arc sin( 21 × sin 90/63)

E = 19.47122°

Approximately = 19.5°

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Xochitl sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
313 visitors purchased no costume.
32 visitors purchased exactly one costume.
23 visitors purchased more than one costume.

Based on these results, express the probability that the next person will purchase exactly one costume as a decimal to the nearest hundredth.

Answers

Answer: 0.09

Step-by-step explanation:

;)

Abe makes $18.50 per hour. He works 40 hours a week. He is considering renting an apartment that will cost $1,500 per month. What is the difference between his recommended rent amount and the cost of this apartment (round to the nearest dollar)?

Answers

Answer:

os(390)   sin(330)   csc(60)

Step-by-step explanation:

Help! I'll give 30 points!!!!!!​

Answers

Answer:

D

Step-by-step explanation:

The plotted points do not follow a general direction and therefore have no correlation

When 6 is added to the difference between 4 times a number and ​7, the result is greater than 14 added to 3 times the number. Find all such numbers.

Answers

Answer: x > 15

Step-by-step explanation:

Let the number be represented by x. Based on the information given, we can form an equation as:

(4x - 7) + 6 > 3x + 14

4x - 7 + 6 > 3x + 14

4x - 3x > 7 - 6 + 14

x > 15

Therefore, x include numbers such as 16, ....

Find the perimeter of a triangle with side lengths of 3x, x + 2, and x – 4.

Answers

Answer:

5x-2

Step-by-step explanation:

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

MARKING BRAINLIEST!!!

What is the circumference of circle P in terms of Pi?

Answers

Answer:

56.52 cm

Step-by-step explanation:

9×2×3.14=56.52

9=r (radius)

2 is part of the formula

3.14= pi

Can I please have Brainliest?

What is 5% as a fraction?

Answers

Answer:

1/20,2/40

Step-by-step explanation:

1/20

brainly 20 characters thing jajdjwkdjsjeijdkekekd

Caleb has 3 packs of colored pencils. Each pack has x pencils in it. After Ryan gives him 6 more
colored pencils, he has a total of 27 pencils.

Answers

Answer:

3 × x + 6 = 27 - 6 = 21 divided by 3 = 7 so 7 pencils in each box. 6 divided by 3 = 2 which means 7 + 2 = 9 pencils in the box total after Ryan gives 6 pencils to caleb.

Step-by-step explanation:

Hope this helps :)

6 pencils is the answer, hope this made your day!

A square has an area of 200 square feet. How long is each side in simplest radical form? If I increase the length of each side by 2, what is the new area in simplest radical form?

Answers

Answer:

a) 14.14 feet

b) 260.5 square feet

Step-by-step explanation:

A square has an area of 200 square feet.

a) How long is each side in simplest radical form?

Area of a square = (side length)²

Side length = √Area

Side length = √200 square feet

= 14.142135624 feet

≈ 14.14 feet

b) If I increase the length of each side by 2, what is the new area in simplest radical form?

= 14.14 feet + 2

= 16.14 feet

New area = (16.14 feet)²

= 260.4996 square feet

Approximately = 260.5 square feet

What is the sum of the interior angles of the polygon pictured below?

Answers

Answer:

720°

Step-by-step explanation:

Formula for sum of interior angles:

(n - 2) x 180

(6 - 2) x 180

4 x 180

720

******WORTH 50 POINTS****WILL MARK BRAINLIEST****PLEASE ANSWER ALL QUESTIONS***
A Drama Club is planning a grand opening musical for the new auditorium! It can hold up to 1000 people. They plan on charging $6 for a student ticket (x) and $10 for an adult ticket (y). If they need to make $3500 to cover all of their expenses, answer the following:

a) Write an inequality to represent the number of tickets

b) Write an inequality to represent the amount of money brought in

c) Give ONE combination of student and adult ticket sales that would satisfy both inequalities

d) Give ONE combination of student and adult ticket sales that would satisfy ONE, but NOT both inequalities

Answers

this is difficult lol im scared to attempt this so i wont

Given a function f(x)=|x+1|-|x -2|
How many solutions has f(x) = a, in respect of a?
If a E {-3, 3}, number of solutions is
if a E (-3, 3) number of solutions is
if a E (-infinity, -3) U (3,infinity) number of solutions is

Answers

Answer:

Step-by-step explanation:

[tex]f(x)=/x+1/-/x-2/\\a=/x+1/-/x-2/\\\text{square both sides}\\a^{2}={(x+1)}^{2}+{(x-2)}^{2}-2(x+1)(x-2)\\a^{2}=x^{2}+2x+1+x^{2}-4x+4-2x^{2}+2x+4\\a^{2}=9\\a=\sqrt{9}\\a=+3\text{ or }-3[/tex]

[tex]\text{if }a \in \{-3, 3\},\text{the number of solutions is 2}[/tex]

[tex]\text{if }a \in \{-\infty, -3\}\bigcup\{\infty, 3\},\text{it is just like saying from infinity to infinity, which is still 2}[/tex]

Answer:

a=(x+1)-(x-2)

=x-x+1+2

a=3

James Anderson School has 156 students. Grade 5 has 43 students and grade 6 has 42 students. What equations can be used to find how many students the rest of the school​ has? Complete the equations. ​___​___x x​___ ​___​___y y​___

Answers

I think if you times it the answer would be 1002

Find the length and width of a rectangle with an area of 2x + x - 3.

A. l = 2x + 3; w = x + 1

B. l = 2x + 3; w = x - 1

C. l = 3x + 2; w = x - 1​

Answers

hdjdbbxbshwvshs bdb scud

Answer:

the answer would be B: l = 2x + 3; w = x - 1

Pls help if you can Thx!

Answers

Answer:

The Answer Is E!

Step-by-step explanation:

To solve this equation., you have to try every solution and the only one that perfectly completes both statements is answer E.

We subtract the $1.15 from $2.10 if this is the price of one taco, leaving the price of a small cup of coffees price     ($2.10-$1.15=$0.95 for a small cup of coffee

To check it fits both statements, we multiply the price of one coffee  by 3 ()$0.95×3=$2.85 for three small coffees\

Next, we multiply $1.15 (one taco) by 2 to fill in the expression  ($1.15×2=$2.30)

Finally, we add both the prices of the 3 coffees and two tacos which adds up to a perfect $5.15, justifying the answer

You are sailing your boat in the Chesapeake Bay to Thomas Point Lighthouse. You see a weather buoy, and you
discover that your boat, the buoy, and Thomas
Point form a right angle using your navigational skills.
What is the value of x?
- 20 km
- 8 km
- 12 km
- 17.3 km

Answers

Answer:

Answer of this question is 8km

What is the answer to this? Please help.

Answers

Answer:

1441.08 cubic inches

Step-by-step explanation:

Blue

V = L * W * H

L = 15

W = 9

H = 9

V = 9 * 9 * 15 =                       1215 CU IN

YELLOW

Diameter = 6

Height = 8

radius = d/2

radius = 6/2

radius = 3

Volume = pi*r^2 * h

Volume = 3.14*3^2 * 8

Volume =                                226.08    Add

                                               1441.08

 

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.

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

Answer:

Step-by-step explanation:

500

Lisa Has $ 7.80 to spend on some tomatoes and loaf of bread. Tomatoes cost $1.20 per pound, and a loaf of bread costs $1.80.
The inequality 1.20x + 1.80 ≤ 7.80 models this situation, where x is the number of pounds of tomatoes
solve the inequality how many piunds of tomatoes can lisa buy?

Answers

The answer is letter C, x less than or equal to five. lisa can buy 5 pounds or less of tomatoes
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