please answer the questions
Answers
Answer:
6. x + 7/12 = -4/15
x = -17/20
Option b is correct.
7. 2/3 + (-4/5) + 7/15 +(-11/20) = -13/60
Option c is correct.
8. -5 + x = -4/3
x = 11/3
Option b is correct.
9. -5/7 + x = -2/3x = 1/21
Option c is correct
10. -5/3 - x = 5/6
x = -5/2
Option d is correct
11. (-3/7)⁻¹ = (m/n)⁻ᵃ = n/m ᵃ)
(-3/7)⁻¹ = 7/-3 (or) -7/3
Option b is correct
12. x × 14/27 = -28/81
x = 2/3
Option b is correct.
Step-by-step explanation:
6. x + 7/12 = -4/15
x = -4/15 - 7/12
x = -4 × 4/15 × 4 -7 × 5/12 × 5
x = -16/60 - 35/60
x = -51/60
x = -17/20
Option b is correct.
7. 2/3 + (-4/5) + 7/15 +(-11/20) = 2/3 - 4/5 + 7/15 - 11/20 ['+' multiply '-' = 'minus']
2/3 - 4/5 + 7/15 - 11/20 = (2/3 + 7/15) (-4/5 - 11/20)
=(2×5/3×5 + 7×1/15×1) (-4×4/5×4 - 11×1/20×1)
=(10/15 + 7/15) (-16/20 - 11/20)
= 17/15 - 27/20
= 17×4/15×4 - 27×3/20×3
= 68/60 - 81/60
= -13/60
Option c is correct.
8. -5 + x = -4/3
x = -4/3 + 5
x = -4×1/3×1 + 5×3/1×3
x = -4/3 + 15/3
x = 11/3
Option b is correct.
9. -5/7 + x = -2/3
x = -2/3 + 5/7
x = -2×7/3×7 + 5×3/7×3
x = -14/21 + 15/21
x = 1/21
Option c is correct
10. -5/3 - x = 5/6
-x = 5/6 + 5/3
-x = 5×1/6×1 + 5×2/3×2
-x = 5/6 + 10/6
-x = 15/6
-x = 5/2
x = -5/2
Option d is correct
11. (-3/7)⁻¹ = (m/n)⁻ᵃ = n/m ᵃ)
(-3/7)⁻¹ = 7/-3 (or) -7/3
Option b is correct
12. x × 14/27 = -28/81
x = -28/81 × 27/14
x = 2/3
Option b is correct.
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