5 ÷ (9/10) = 5 x (10/9) = 50/9 = 5 5/9 = 5.5555...
sin-1(0.4067) = asin(0.4067) = 24° (approximately)
2x + 3y = 14 ---> x 3 ---> 6x + 9y = 42
3x - 4y = 4 ---> x -2 ---> -6x + 8y = -8
17y = 34
y = 2
If y = 2: 2x + 3y = 14 ---> 2x + 3(2) = 14 ---> 2x + 6 = 14
2x = 8
x = 4
|7 - 9| = |-2| = 2 (Absolute value)
5·2 - 2 = 10 - 2 = 8
Human hair: 8.0 x 10-4 = 0.00080
Cat hair: 4.0 x 10-1 = 0.40
Subtracting: 0.40 - 0.00080 = 0.3992
Using rules of precision, the answer becomes 0.40
2/5 + 2/x = 1
Multiply both sides by 5x:
2(5x)/5 + 2(5x)/x = 1(5x)
10x/5 + 10x/x = 5x
2x + 10 = 5x
10 = 3x
x = 3 1/3
The odd numbers are: 1, 3, 5, 7, ... so the third odd number is 5
The squared numbers are 1² = 1, 2² = 4, 3² = 9, ... so the third squared number is 9
The cubed numbers are 1³ = 1, 2³ = 8, 3³ = 27, ... so the third cubed number is 27
What's the problem?
6x² - x - 1 = (3x - 1)(2x + 1)
Assuming that the problem is: 18/(4x - 1) - 1/(x + 1) = 1
Multiply both sides by (4x - 1)(x + 1):
18(4x - 1)(x + 1)/(4x - 1) - 1(4x - 1)(x + 1)/(x + 1) = 1(4x - 1)(x + 1)
18(x + 1) - (4x - 1) = 4x² + 3x - 1
18x + 18 - 4x + 1 = 4x² + 3x - 1
14x + 19 = 4x² + 3x - 1
0 = 4x² - 11x - 20
Factor: (4x + 5)(x - 4) = 0
x = -5/4 or x = 4