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2 years ago

What is the smallest 3-digit palindrome that is divisible by both 3 and 4?

Mathematics

1 answer:

kirill [66]2 years ago

4 0

Answer:

252

Step-by-step explanation:

To be divisible by 3, it's digits have to add to a number that is a multiple of 3.

To be divisible by 4 its last 2 digits have to be divisible by 3.

So let's start with 1x1 which won't work because 1x1 is odd. so let's go to 2x2 and see what happens.

212 that's divisible by 4 but not 3

222 divisible by 3 but not 4

232 divisible by 4 but not 3

242 not divisible by either one.

252 I think this might be your answer

The digits add up to 9 which is a multiple of 3 and the last 2 digits are divisible by 4

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Which equation demonstrates the associative property of multiplication

kherson [118]

Answer:

from what I remember ide say A

3 0

3 years ago

The international cricket team is going to stadium to play the T20 cricket game. A coordinate grid is superimposed on a highway

marysya [2.9K]

Answer:

The coordinate of the rest stop is: $(5,2.5)$

The distance between the hotel and the stadium is 32 miles

Step-by-step explanation:

Given

$(x_1,y_1) = (3,4)$ --- Team hotel

$(x_2,y_2) = (7,1)$ --- Stadium

Solving (a): The coordinates of the rest stop

The rest stop is at half way;

So, the coordinate is:

$(x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)$

This gives:

$(x,y) = \frac{1}{2}(3+7,4+1)$

$(x,y) = \frac{1}{2}(10,5)$

Open bracket

$(x,y) = (5,2.5)$

Solving (b): Distance between the hotel and the stadium

We have:

$(x_1,y_1) = (3,4)$ --- Team hotel

$(x_2,y_2) = (7,1)$ --- Stadium

The distance (d) is:

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

So, we have:

$d = \sqrt{(3 - 7)^2 + (4 - 1)^2}$

$d = \sqrt{(-4)^2 + 3^2}$

$d = \sqrt{16 + 9}$

$d = \sqrt{25}$

$d =5$

From the question, we have:

$1\ unit = 6.4\ miles$

So:

$d =5 * 6.4\ miles$

$d =32\ miles$

3 0

3 years ago

A company uses the declining-balance method of calculating depreciation expense. On January 1, the company buys machinery for $7

NeX [460]

Answer:

$516,000

Step-by-step explanation:

Given:

- Beginning boo value of asset A = $750,000

- The salvage value of the asset B = $100,000

- The estimated life of asset t = 10 years

Find:

What is the book value in year 3?

Solution:

- Under the declining balance method, double declining method depreciation rate (R) is calculated by:

R = 1 / t

R = 1 / 10 = 10%

- The accumulated depreciation for 3 years is as follows:

Depreciation: ( A - B ) * R * 2

Year 1: DDB = ( 750,000 - 100,000 ) * 0.2 = $130,000

Year 2: DDB = ( 620,000 - 100,000)*0.2 = $104,000

- The book value in year 3 is:

$ 620,000 - $104,200 = $516,000

7 0

3 years ago

A box contains

Usimov [2.4K]

<span>the probability that a pen from the first box is selected
= total number of pens in 1st box/total number of objects in box 1
= 5/12

</span>the probability that a crayon from the second box is selected
= total number of crayons in 2nd box/total number of objects in box 2
= 6/8 = 3/4

7 0

3 years ago

you buy two rolls of wrapping paper. each roll has the same lateral surface area. what is the diameter of roll B?

Sonbull [250]

I saw the image that should have been posted with this word problem.

The rolls of wrapping paper is cylindrical in shape.

Roll A : length = 30 inches ; diameter = 3 inches
Roll B : length = 24 inches ; diameter = unknown

Lateral surface area = 2 π r h

Lateral Surface area of Roll A = Lateral Surface area of Roll B
2 * 3.14 * 1.5in * 30in = 2 * 3.14 * r * 24 in
282.60 in² = 150.72 in * r
282.60 in² / 150.72 in = r
1.875 in = r

diameter is 2 times the radius = 1.875 in * 2 = 3.75 inches

The diameter of Roll B is 3.75 inches.

4 0

3 years ago