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svet-max [94.6K]
3 years ago
7

Big Reward! (Answer the right answer not just comment).

Mathematics
2 answers:
Zina [86]3 years ago
8 0
A: One solution- a=11 b=5
B: Has no solution- a=10 b=5
C: Infinite solution- a=10 b=-8
frosja888 [35]3 years ago
5 0

Answer:

A. a = 0, b = 2

B. a = 10, b = 0

C. a = 10, b = -8

Step-by-step explanation:

2(5x-4)=ax+b

10x - 8 = ax + b

When a = 10, b = -8

This equation becomes true for all x. Hence infinite solutions.

When a = 10, b is not -8,

This equation has no solution.

One possible combination could be:

a = 10, b = 0

When a is not 10,

The two sides of the equation become two non parallel lines which will intersect at one point.

A combination could be:

a = 0, b = 2

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3 0
3 years ago
If it takes 1074 digits to number the pages of a book starting with page 1. how many pages are in the book? The book has a total
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Answer:

  • 394 pages

Step-by-step explanation:

<u>1- digit numbers: </u>

  • 1 to 9, number of digits = 9

<u>2- digit numbers:</u>

  • 10 to 99, number of digits = 2(99 - 9) = 180

<u>3- digit numbers:</u>

  • 100 to 999, number of digits = 3(999 - 99) = 2700

This is more than we have, but we know the number of pages is 3-digit.

<u>Let it be x, then we have:</u>

  • 9 + 180 + 3(x - 99) = 1074
  • 3(x - 99) = 1074 - 189
  • 3(x - 99) = 885
  • x - 99 = 885/3
  • x - 99 = 295
  • x = 295 + 99
  • x = 394
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