Answer: 1. 2rs is 2 . r . s = 2rs 2. 18rst is 2 . 3 . 3 r. s. t = 18rst
3. 25ab is 5 . 5 a . b = 25ab 4. 30abc is 2 . 3 . 5 a . b . c= 30abc 5. 45abr is 3 . 3 . 5 . a . b . r
Step-by-step explanation: 2. 18rst is 2 . 3 . 3 . r . s . t because 2 x 3 = 6 x 3 = 18rst.
3. 25ab is 5 . 5 a . b because 5 x 5 = 25ab
4. 30abc is 2 . 3 . 5 a . b because 2 x 3 = 6 x 5 = 30abc.
5. 45abr is 3 . 3 . 5 . a . b . r because 3 x 3 = 9 x 5 = 45abr.
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Let the first number be = x
Then the second number = 2x
The third number = 2x - 5
Their sum = 55
This can be written in an equation as =
x + 2x + 2x - 5 = 55
= x + 2x + 2x = 55 + 5 ( transposing -5 from LHS to RHS changes -5 to +5 )
= x + 2x + 2x = 60
= 5x = 60
= x = 60 ÷ 5 ( transposing ×5 from LHS to RHS changes ×5 to ÷5 )
= x = 12
The first number = x = 12
The second number = 2x = 2 × 20 = 24
The third number = 2x - 5 = 24 - 5 = 19
Therefore , the three numbers are 12 , 24 and 19 .
Answer:
c. 3680
Step-by-step explanation:
In 2010, the population was 8000.
In 2014, it increased by 15%.
Population in 2014 :
= 8000 + 15/100×8000
= 8000 + 1200
= 9200.
Now, 2/5 of the population was age 12 or under.
= 2/5 × 9200
= 2×1840
= 3680
Answer - c) 3680
