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3 years ago

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How many $10$-digit numbers are there, such that the sum of the digits is divisible by $2$?

1 answer:

navik [9.2K]3 years ago

7 0

Complete question is;

How many 10 - digit numbers are there, such that the sum of the digits is divisible by 2?

Answer:

There are 4500000000 ten digit numbers whose sum is divisible by 2.

Step-by-step explanation:

Since we are dealing with 10 digit numbers, the first 10 digit number whose sum is divisible by 2 is; 1000000001.

While the last 10 digit number whose sum is divisible by 2 is 9999999999.

Now,to find how many 10 digit numbers whose sum are divisible by 2, we will simply divide the difference of both numbers by 2 and then add 1 to the answer. This is because subtracting the minimum from the maximum gives us the number of 10 digit numbers we have. Then dividing by 2 gives the number of ten digit numbers with sum divisible by 2 in between. Then adding 1 to the result to cover the number not included gives;

((9999999999 - 1000000001)/2) + 1 = 4500000000

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masya89 [10]

Answer:

A. The distance from any point in the circle to the origin

Step-by-step explanation:

The distance formula tells you that the distance (d) is related to the coordinates of two points (x1, y1) and (x2, y2) by ...

d² = (x2 -x1)² +(y2 -y1)²

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The total cost for a chair, a desk, and a lamp is $562. The desk costs four times as much as the lamp and the chair costs $23 le

alexandr1967 [171]

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4 years ago

Adele prepared 54 kilograms of dough after working 6 hours. How much dough did Adele prepare if she worked for 9 hours? Assume t

Katyanochek1 [597]

Answer:

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Step-by-step explanation:

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3 years ago

The table represents a function.

zavuch27 [327]

Answer:

The correct option is 3. The rate of change in the function $y=x-6$ is less than the rate of change of the function represented in the table.

Step-by-step explanation:

The given table represents a function.

Choose any two points from the table. The two points are (0,-5) and (2,1).

Slope of a line is

$m=\frac{y_2-y_1}{x_2-x_1}$

Slope of the function that is represented by the table, is

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Therefore the rate of change of function is 3.

The given function is

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It is a slope intercept form of a line.

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Where m is the slope and b is y-intercept.

Therefore the slope of the given function is 1.

Since 1<3, therefore rate of change in the function $y=x-6$ is less than the rate of change of the function represented in the table. Option 3 is correct.

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