All categories

3 years ago

How many times does the digit 7 appear among the terms of the sequence of consecutive integer numbers 7, 8, 9, ...., 777?

Mathematics

2 answers:

harina [27]3 years ago

7 0

Answer:

It appears 234 times

Step-by-step explanation:

For first 6 hundreds i.e, 17-107, 117-207, 217-307, 317-407, 417-507, 517-607, there are 20 sevens for each. Which gives a total of 20*6 = 120 sevens.

The number '7' along with this makes a total of 121 sevens.

From 617-707, there are 28 sevens. TOTAL = 121 + 28 = 149

From 708-716, there are 9 sevens.

Now, from 717-777, we have a total of 76 sevens

Adding these all makes total= 149+9+76 = 234

Dahasolnce [82]3 years ago

4 0

Answer:

234 times

Step-by-step explanation:

<u>Number of times the number 7 appears in a hundred</u>

7 as units digit (07-17-27 ..... 97): 10 times

7 as tens digit (70-71-72..... 79): 10 times

20 times the digit 7 appears in first one hundred (0-100)

Let's calculate how many times 7 would be as units or tens in 7 hundreds

20X7 = 140 times digit 7 appears until number 699

7 as hundreds digit (700-701-702 .... 777): 78 times

7 as tens digit (770-771-772 .... 777): 8 times

7 as units digit (707-717-727....777): 8 times

78 + 8 + 8 = 94 times the digit 7 appears in the range 700 - 777. Plus 140 times

140 + 94 = 234 times

You might be interested in

Which table represents a function?

Oliga [24]

Answer:

table 1

Step-by-step explanation:

table one, because you have different value of x (inputs) with no repetition for the same value

5 0

3 years ago

Ken paid for $12 for two magazines. The cost of each magazine was a multiple of 3. What is Mare the possible prices of the magaz

Artist 52 [7]

Answer:

So the possibilities are

$12 and $ 0 , $9 and $ 3 , $6 and $6

Step-by-step explanation:

Given:

Total Magazines = 2

Price = $ 12

To Find:

Possible Prices of magazines = ?

Solution:

As it is given that Prices of magazines is multiples of 3

Multiples of 3 up till 12 are

0, 3 , 6 , 9 , 12

Now

Total Price of magazine is $12

Now The possible prices of the magazines are

First Possibility:

If price of first magazine is $12 then second would be $0 (free)

First possible price $12 and $0

Second Possibility:

If price of first magazine is $9 then second would be $3

Second possible price $3 and $9

Third Possibility:

If price of first magazine is $6 then second would be $6

Third possible price $6 and $6

So the possibilities are

$12 and $ 0 , $9 and $ 3 , $6 and $6

8 0

3 years ago

Monique has 2 hours to complete 3 homework assignments.She wants to spend the same amount of time on each assignment.How meany m

slamgirl [31]

2 hours = 120 minutes. Divide 120 by 2, which is 40. So she has 40 minutes for each assignment

6 0

3 years ago

Help pls whats the output

-Dominant- [34]

Answer:

its b

Step-by-step explanation:

3 0

3 years ago

Find the product of (x^2+2x-3)(4x^2-5x+6)

Evgesh-ka [11]

Answer:

$x^{4}$ + 3x³ - 16x² + 27x - 18

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

x²(4x² - 5x + 6) + 2x(4x² - 5x + 6) - 3(4x² - 5x + 6)

Distribute all 3 parenthesis

= 4 $x^{4}$ - 5x³ + 6x² + 8x³ - 10x² + 12x - 12x² + 15x - 18

Collecting like terms

= 4 $x^{4}$ + 3x³ - 16x² + 27x - 18

5 0

3 years ago