The amount of water in a barrel decreases 9 5/8 pints in 7 weeks. The water decreases the same amount each week. What is the change in the amount of water in pints in the barrel in 12 weeks?

6 7/8 pints

Step-by-step explanation:

The amount of water in a barrel decreases 9 5/8 pints in 7 weeks. The water decreases the same amount each week. What is the change in the amount of water in pints in the barrel in 12 weeks?

From the question, we know that:

7 weeks = 9 5/8 pints

12 weeks = x

Cross Multiply

7x = 12 × 9 5/8

x = 12 × 9 5/8/7

x =( 12 × 77/8 ) ÷ 7

x = 12 × 77/8 × 1/7

x = 12 × 11/8

x = 16 1/2 pints

The change in the amount of water in pints in the barrel in 12 weeks is calculated as:

16 1/2 pints - 9 5/8 pints

Lowest common denominator = 8

7 + (4 - 5/8)

7 + (-1/8)

= 6 7/8 pints

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐