Please answer this question properly and give the right answer with the correct explanation for these to question. I'll surely mark you as brain list.
Answers
Answer:
1) Distributive Property of Multiplication over Addition
2) 96.09 mm OR 9.609 cm
Step-by-step explanation:
1) (5/4) * [(4/3) + [(-6/5)] = (5/4 * 4/3) + (5/4 * - 6/5)]
Evaluating LHS (Left-Hand Side):
(5/4) * (4/3 - 6/5) = (5/4 * 4/3) + (5/4 * - 6/5)]
∴ (5/4) * {(4*5)/(3*5) - (6*3)/(5*3)} = (5/4 * 4/3) + (5/4 * - 6/5)]
∴ (5/4) * {20/15 - 18/15} = (5/4 * 4/3) + (5/4 * - 6/5)]
∴ (5/4) * {20/15 - 18/15} = (5/4 * 4/3) + (5/4 * - 6/5)]
∴ (5/4) * (2/15) = (5/4 * 4/3) + (5/4 * - 6/5)]
∴ (5*2)/(4*15) = (5/4 * 4/3) + (5/4 * - 6/5)]
∴ 10/60 = (5/4 * 4/3) + (5/4 * - 6/5)]
∴ 1/6 = (5/4 * 4/3) + (5/4 * - 6/5)]
Evaluating RHS (Right-Hand Side):
1/6 = (5/4 * 4/3) + (5/4 * - 6/5)]
∴ 1/6 = {(5*4)/(4*3)} + {-(5*6)/(4*5)}
∴ 1/6 = {20/12} + {-30/20}
∴ 1/6 = {(20*5)/(12*5)} + {-(30*3)/(20*3)}
∴ 1/6 = {100/60} + {-90/60}
∴ 1/6 = (100/60) - (90/60)
∴ 1/6 = 10/60
∴ 1/6 = 1/6
This shows the Distributive Property of Multiplication over Addition.
2)
There are 4 books each of thickness 24 mm.
∴ 4*24 mm = 96 mm
There are 6 sheets of paper each of thickness 0.015 mm.
∴ 6*0.015 mm = 0.09 mm
∴ Total thickness of stack = 96 mm + 0.09 mm = 96.09 mm.
If you need it in cm, 9.609 cm.
Hope it helps!