Given:
Ratio of tulips to roses = 2:1
Total number of flowers = 18
To find:
The number of tulips.
Solution:
Let the number of tulips and roses are 2x and x respectively.
According to the question,


Divide both sides by 3.


Now,
Number of tulips 

Therefore, the number of tulips is 12.
Answer:
G. 
Step-by-step explanation:
Given that figure I and figure II are similar, it follows that the ratio of their corresponding side lengths are equal and the same.
Thus:

Therefore, the proportion that must be true is:
✔️
Answer:
The common difference of the progression is 3.
Step-by-step explanation:
Given:
First term of the AP = (a) = -8
Ratio of 7th and 9th term = 5:8
So,
General term of an AP, Tn= a+(n-1)d
Where 'd' is the common difference.
equation...(i)
equation...(ii)
According to the question.
⇒
...cross-multiplying the terms.
⇒ 
⇒
⇒
...subtracting 40d and adding 64 both sides.
⇒ 
⇒
...dividing both sides with 3.
So the common difference of the progression is 'd' = 3.