Solution:

130

Explanation:
(1*1*1)+1 = 02
(2*2*2)+2 = 10
(3*3*3)+3 = 30
(4*4*4)+4 = 68
(5*5*5)+5 = 130

Solution:

.05

Given the equation 8/x = 160, when you solve for x, you indeed get:

8/x = 160

To find x, you can simply invert the fraction:
x/8 = 1/160

Now, to isolate x, multiply both sides by 8:
x = 8 * (1/160)
x = 8/160
x = 1/20 = 0.05

Solution:

0.1667 or 16.67%

When rolling two fair six-sided dice, there are 36 possible outcomes (6 outcomes for the first die multiplied by 6 outcomes for the second die).

To calculate the probability of rolling a sum of 7, we need to determine the number of combinations that result in a sum of 7. These combinations are:

1 + 6
2 + 5
3 + 4
4 + 3
5 + 2
6 + 1

So, there are 6 favorable outcomes that result in a sum of 7.

The probability of rolling a sum of 7 is calculated by dividing the number of favorable outcomes by the total possible outcomes:

Probability = (Number of Favorable Outcomes) / (Total Possible Outcomes) = 6 / 36 = 1/6 ≈ 0.1667

Therefore, the probability of rolling a sum of 7 with two fair six-sided dice is approximately 0.1667 or 16.67%.

Solution:

All other shapes are quadrilaterals, while a hexagon has six sides.

Solution:

Shape A

Shape A features an inner figure(dark black) in the form of a trapezoid.
Conversely, shapes B, C, and D all exhibit an inner figure shaped as a triangle.

As a result, the image that deviates from this pattern is Shape A, making it the odd one out.

Solution:

2 Hours

Lets consider the garden breadth as "B" and its length as "2B". The man starts from one end of the breadth, while the snake starts from one end of the length.

The man covers 60 cm in an hour, and the snake covers 30 cm in an hour.

To find the time "T" when the man catches the snake, we equate the distances they both cover.

Man distance: 60T (60 cm/hour * T hours)
Snake distance: 30T (30 cm/hour * T hours)

Since the man catches the snake when they meet at the same point, the distance covered by both will be equal.

Equation: 60T = 30T

Solving for "T":
60T - 30T = 0
30T = 0
T = 2

So, the man catches the snake after 2 hours.

Solution:

29

Jacob standing on the middle rung.
He goes up 6 rungs so he is now at M+6 and when he goes down 10 rungs so he is at M-4.
Jacob goes up 18 rungs so he is now at M+14 = T

14 rungs from the top, 14 rungs from the bottom, and the middle rung. 14+14+1=29

Solution:

3

The total sum is always 17.

Solution:

9

4x + 21 = 57
4x = 36
x = 9

Solution:

10