Answer:
Step-by-step explanation:
x = father's age
y = son's age
Nowadays:
3x = y
5 years ago:
4(x - 5) = y - 5
4x - 20 = y - 5
4x = y + 15
I hope I've helped you.
Answer:
P(6) = 5
Step-by-step explanation:
The dice is cast 30 times (k = 30)
So if the big numbers apply, then you would expect the outcome to be evenly distributed, meaning
5 x 1
5 x 2
5 x 3
5 x 4
5 x 5
5 x 6
____ +
30 casts in total (evenly distributed over all numbers of the dice)
P(6) = 1/6 * 30
P(6) = 5
Answer:
x = 4
, y = 2
Step-by-step explanation by elimination:
Solve the following system:
{2 x + 3 y = 14 | (equation 1)
x + 5 y = 14 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{2 x + 3 y = 14 | (equation 1)
0 x+(7 y)/2 = 7 | (equation 2)
Multiply equation 2 by 2/7:
{2 x + 3 y = 14 | (equation 1)
0 x+y = 2 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{2 x+0 y = 8 | (equation 1)
0 x+y = 2 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 4 | (equation 1)
0 x+y = 2 | (equation 2)
Collect results:
Answer: {x = 4
, y = 2