If you write all the whole numbers from 1 to 500 in a row, what will be the 500th digit?
a. 0 or 1b. 2 or 3c. 4 or 5d. 6 or 7e. 8 or 9

The 500th digit from 1 to 500 in a row will be;

A: 0 or 1

The double digit numbers are; 10 to 99 = 90 numbers × 2 = 180 digits

This is a total of 180 + 9 = 189 digits

Thus, after 99, we are looking for the;

500 - 189 digit = 311th digit

(100 + x)3 = 312

100 + x = 312/3

100 + x = 104

x = 104 - 100

x = 4

The 104th term after 99 is;

104 + 99 = 203

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As per the question, the 500th digit would be:

a). 0 or 1

To write,

Numbers from

The numbers containing 1 digit digits  (1 to 9)

The numbers containing 2 digits ×   (from 10 to 99)

To find,

digit

Remaining

As we know, 311 can not be divided by 3, and therefore, we will look for the nearest number that is divisible by 3 i.e. 312

So, assuming the x as 100 + nth digit

∵

Now,

∵

Since the term is employed rather than the , it implies that. Thus, 0 would be the digit.

Thus, option a is the correct answer.

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infinitely many solutions

step-by-step explanation:

we have been given the equation;

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

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.