Answer:
Step-by-step explanation:
Let s represent the son's age now. Then s+32 is the father's age. In 4 years, we have ...
5(s+4) = (s+32)+4
5s +20 = s +36 . . . . . eliminate parentheses
4s = 16 . . . . . . . . . . . . subtract s+20
s = 4
The son is now 4 years old; the father, 36.
_____
<em>Alternate solution</em>
In 4 years, the ratio of ages is ...
father : son = 5 : 1
The difference of their ages at that time is 5-1 = 4 "ratio units". Since the difference in ages is 32 years, each ratio unit must stand for 32/4 = 8 years. That is, the future age ratio is ...
father : son = 40 : 8
So, now (4 years earlier), the ages must be ...
father: 36; son: 4.
Answer:
below given
Step-by-step explanation:
1) yes
2)no
3)no
4)yes
5)no
Answer:
17x+13y
Step-by-step explanation:
Answer:
603
Step-by-step explanation:
The rate of change is found by
rate of change = f(b) -f(a)
------------
b-a
We need to find the rate of change for the interval 7,9 and 4,6
We know b= 9 and a = 7
f(9) -f(7)
------------
9-7
3878-1852
----------------
9-7
2026
-------
2
1013
We know b= 6 and a = 4
f(6) -f(4)
------------
6-4
1178-358
---------------
6-4
820
------
2
410
It asks how much greater, that means subtraction
1013-410
603
Assume that a step to the north is in the positive direction and a step in the south is in the negative direction.
Then,
and
After 1 hour of independent steps,
and
Therefore, by Central Limit Theorem, the distribution of the random walk is normal with a mean of 0 cm and a standard deviation of 17.32 cm. He is expected to be somewhere around his starting point after 1 hour.
