Answer:
Maximum number of months Abby can learn yoga is 25 months.
Step-by-step explanation:
We have given,
Total savings of Abby = $1325
Total charges to learn yoga is given as:
A fixed registration fee = $35
And a monthly fee = $50
Since the registration Abby pays only once. So we can calculate the remaining saving amount for Abby.
i.e Remaining saving amount after registration fee = $ (1325 - 35) = $1290
Now, from the remaining amount after paying registration fee , let the Abby learn yoga for x months.
To find maximum number of months we need to satisfy a equation given as:

or 
Since we got x ≤ 25.8 months ≈ 25 months (in integer form)
So maximum number of months Abby can learn yoga is 25 months.
In order to calculate LCD of 4/9 and 7/12, you need to calculate LCM of their denominators which is 9 and 12, it would be 36
In short, Your Answer would be 36
Hope this helps!
Answer:
i. 9
ii. 14
iii. 405
iv. 
Step-by-step explanation:
The number of diagonals in a polygon of n sides can be determined by:

where n is the number of its sides.
i. For a hexagon which has 6 sides,
number of diagonals = 
= 
= 9
The number of diagonals in a hexagon is 9.
ii. For a heptagon which has 7 sides,
number of diagonals = 
= 
= 14
The number of diagonals in a heptagon is 14.
iii. For a 30-gon;
number of diagonals = 
= 
= 405
The number of diagonals in a 30-gon is 405.
iv. For a n-gon,
number of diagonals = 
The number of diagonals in a n-gon is 
<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>:</em><em>)</em>
Answer:
White = 1.67 gallons
Blue = 0.33 gallons
Step-by-step explanation:
White : blue = 3 : 1
Total ratio = 3 + 1
= 4
Gallons = 2
White = 3 /4 × 2
= 6 /4
= 3/2 gallons
Blue = 1 / 4 × 2
= 2/4
= 1/2
If he later decide to dilute the color to a ratio of 5:1
Total ratio = 5 + 1
= 6
Total gallons = 2
White = 5 / 6 × 2
= 10/6
= 5/3 gallons
Or
= 1.67 gallons
Blue = 1 / 6 × 2
= 2 / 6
= 1/3 gallons
Or
= 0.33 gallons