Answer:
-1/3 - (-5/12) = 1/12.
Step-by-step explanation:
Simpler equation:
6/12 + (-5/12) = 1/12
Or This:
6/12 - 5/12 = 1/12.
hope this helped.
1) Convert the mixed number 8 and 2/13 into a fraction:
8 and 2/13 = 8 + 2/13 = (8*13 + 2) / 13 = 106 / 13
2) Calculate 4/5 of 106 / 13
(4 / 5) * ( 106 / 13) = (4*106) / (5*13) = 424 / 65
That is (390 + 34) / 65 = 390/65 + 34/65 = 6 + 34/65 is painted white
3) Calculate the rest
(1/5) * (106 / 13) = 106 / 65 = 1 + 41/65 is painted blue
Answer: See explanation
Step-by-step explanation:
The perimeter of a pentagon is gotten through the summation of its five sides. Let the first side be represented by x. Since each side of a pentagon is 10 cm greater than the previous side, then the sides will be:
First side = x
Second side = x + 10
Third side = x + 10 + 10 = x + 20
Forth side = x + 30
Fifty side = x + 40
Therefore,
x + (x + 10) + (x + 20) + (x + 30) + (x + 40) = 500
5x + 100 = 500
5x = 500 - 100
5x = 400
x = 400/5
x = 80
Therefore, the lengths will be:
First side = x = 80cm
Second side = x + 10 = 80 + 10 = 90cm
Third side = x + 20 = 80 + 20 = 100cm
Forth side = x + 30 = 80 + 30 = 110cm
Fifty side = x + 40 = 80 + 40 = 120cm
Answer:
(13 x + 6) (x - 2)
Step-by-step explanation:
Factor the following:
13 x^2 - 20 x - 12
Factor the quadratic 13 x^2 - 20 x - 12. The coefficient of x^2 is 13 and the constant term is -12. The product of 13 and -12 is -156. The factors of -156 which sum to -20 are 6 and -26. So 13 x^2 - 20 x - 12 = 13 x^2 - 26 x + 6 x - 12 = x (13 x + 6) - 2 (13 x + 6):
x (13 x + 6) - 2 (13 x + 6)
Factor 13 x + 6 from x (13 x + 6) - 2 (13 x + 6):
Answer: (13 x + 6) (x - 2)
Using an ordered pair is a way of graphing a linear equation on a coordinate plane.
{(-1, 2), (0, 1), (1, 2), (4, 5)}.
