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antoniya [11.8K]
3 years ago
12

Take any three digit number. Reverse its digits and subtract the smaller of the two numbers from the larger. Determine what numb

er always divides such differences for the following types of numbers.
Mathematics
1 answer:
rjkz [21]3 years ago
8 0

Answer: 11 is the required number that always divides such differences for the following types of numbers.

Step-by-step explanation:

Take any 3 - digit number, say, 325

On reversing its digit it becomes, 523

On subtracting the smaller of the two numbers from the larger,523-325\\\\=198

we can see that 198 is an even number.

take another number say, 629

On reversing its digit, it becomes = 926

On subtracting , we get that

926-629=297

But 297 is not an even number.

But there is one common in both the cases is that both the differences are divisible by 11.

Hence, 11 is the required number that always divides such differences for the following types of numbers.

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Describe all the positive integers that would make [(1/2|4] less than (1/2)7
Zielflug [23.3K]

Answer:

The only positive integers would be anything less than 3. So 1 or 2 would work

Step-by-step explanation:

If something that is already being raised to a power, gets raised to another power, those powers add up. So if it were (\frac{1}{2} ^{2} )^{2}, the exponents would add which would make it (\frac{1}{2}^{4} ).

In the case of your question, if 'n' was 2 it would be to the power of 6 making it less than to the power of. 1 could also work

5 0
1 year ago
-Find the y-intercept of the line with the equation 2x+y=5.
AlekseyPX

Answer:

E.  5

Step-by-step explanation:

Let's rewrite the equation in the form of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

2x + y = 5

y = -2x+5

M, the slope, is -2

<u>5, b, is the y-intercept</u>

See attached graph.

8 0
1 year ago
I need help writing the expressions
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Answer:

Company a= 15x+10y+25z+75

Company b=20x+10y+30z+60

Step-by-step explanation:

3 0
2 years ago
Let f be defined as shown.<br> What is f^-1(1)?
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Answer:

From the above image when the input of f(x) is 9 the output is 1

So f^-1(1) is just the reverse when the input is 1 the output is 9

So f^-1(1) = 9

Hope this helps

6 0
3 years ago
You start driving north for 24 miles, turn right, and drive east for another 10 miles. At
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Answer:

26 miles.

Step-by-step explanation:

To solve this problem, the Pythagorean theorem must be applied, which states that the hypotenuse squared of every right triangle is equal to the sum of its squared legs, that is, A^2 + B^2 = C^2 .

Therefore, applying this formula, to determine the distance in a straight line from the starting point to the driving end point, the following calculation must be performed:

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26 = X

Thus, the distance between the two points is 26 miles.

5 0
2 years ago
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