pls answer to question 9 , 10 , 11 and 12
Answers
it's not clear..............
Step-by-step explanation:
9) Let the first prize be x.
Second prize = 5/6 × x = 5/6x
Third prize = 4/5 × 5/6x = 2/3x
The total prize = 2/3x + 5/6x + x = 2½x
We equate this to 150.
2½x = 150
x = 150/2.5
x = 60
First prize = 60
Second prize = 60 × 5/6 = 50
Third prize = 2/3 × 60 = 40
10) (x² - 9) / (5 + x²) = - 5/9
9(x² - 9) = - 5(5 + x²)
9x² - 81 = - 25 - 5x²
9x² + 5x² = 81 - 25
14x² = 56
x² = 56/14 = 4
x = 2
11) (x + b)/(a - b) = (x - b) / (a + b)
(x + b)(a + b) = (x - b)(a - b)
ax + bx + ab + b² = ax - ab - bx + b²
ax - ax + bx + bx + ab + ab + b² - b² = 0
2bx + 2ab = 0
2b(x + a) = 0
2b = 0/(x + a)
2b = 0
b = 0
12) (x + 2)/3 - (x + 2)/5 = (x - 3)/4 - 1
5 × 4(x + 2) - 3 × 4(x +1) = (x - 3)3 × 5 - 1(3 × 5 × 4)
20(x + 2) - 12(x + 1) = (x - 3)15 - 60
20x + 40 - 12x - 12 = 15x - 45 - 60 + 12
20x - 12x - 15x = - 40 - 45 - 60 + 12
-7x = - 133
x = 133/7 = 19