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2 answers:
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Answer: (1) 2p: 5q.
(2) 3:10.
(3) 5:6.
Step-by-step explanation:
To find : Ratio
(1) 4p²q : 10pq²
i.e. Simplified ratio of 4p²q : 10pq² is 2p: 5q.
(2) 9 months : 2½ years
1 year = 12 months
Now, 9 months : 2½ years =
Hence, Simplified ratio of 9 months : 2½ years is 3:10.
(3) 5 m : 600 cm
1 m = 100 cm
So, 5m = 500 cm
Now, 5 m : 600 cm =
Hence, Simplified ratio of 5 m : 600 cm is 5:6.
Answer:
Step-by-step explanation:
So we have the trinomial:
First, factor out a 2:
Now, factor within the parentheses.
To do so, we want to find two numbers. When multiplied, these two numbers must equal (a)(c) and when added, they must equal b
(a)(c) is 2(-5) or -10 and b is -3. So, we want two numbers that when multiplied together gives -10 and when added gives -3.
-5 and 2 works. Therefore:
Replace -3x with 2x and -5x:
Factor out a 2x for the first two terms. And factor out a negative 5 for the remaining two:
Grouping:
And we're done!