Maria plans to fill pots in her garden with soil and plant food. maria has 8 1/2 quarts of soil as 1 1/2 quarts of plant food. each pot requires 3/4 quart of soil. for how many pots does maria have enough soil?

1. You have the following information:

 - Maria has 8 1/2 quarts of soil.
 - Each pot requires 3/4 quart of soil.

 2. Keeping this on mind, you can convert the mixed number 8 1/2 and the fracion 3/4 to decimals, as below: 

 8 1/2=8.5 quarts
 3/4=0.75 quarts

 3. Therefore, you have:

 1 pot0.75 quarts
       x8.5 quarts

 x=(8.5x1)/0.75
 x=11 pots

 For how many pots does Maria have enough soil?

 The answer is: 11 pots
 
 
 

6.8 inches

Step-by-step explanation:

Given data :

m∠ A = 53°  ,  m∠ C = 84° , side a = 8 inches

therefor m ∠ B = ( 180 - (84 + 53 )) = 43°

Find the length of side b

we will apply sine rule here

=  =

∴ b = ( sin43° * 8 ) / sin53°

      = ( 0.6819 * 8 ) / 0.7986

      = 5.4552 / 0.7986 = 6.83 ≈ 6.8 inches