Answer:
s=6 years
m=48 years
Step-by-step explanation:
Let
Mother's age=m
Son's age=s
m=8*s
m=8s (1)
m+6=9/2(s+6)
m+6=9/2s+27 (2)
Substitute (1) into (2)
m+6=9/2(s)+27
8s+6=9/2s+27
8s+6-9/2s-27=0
8s-9/2s-21=0
(16-9/2)s-21=0
7/2s=21
s=21÷7/2
=21×2/7
=42/7
s=6
Present age of the son=6
m=8s
=8(6)
m=48
Present age of the mother=48
Answer:
6.4925 USD
Step-by-step explanation:
(6.625*98)/100=6.4925 usd
The path of the ball is an illustration of absolute equation.
The equation of the path is: 
The given parameters are:
--- the vertex (i.e. the point where the ball hits the wall)


An absolute function is represented as:

Substitute 

Substitute
for x and y


Remove absolute bracket

Collect like terms


Solve for a

Simplify

Substitute
in 

Hence, the equation of the path is: 
See attachment for graph that models the path
Read more about absolute equations at:
brainly.com/question/2166748
Let x km/h be the Jim's speed. If the difference in Jim's and John's speeds is 2 km/h, then the John's speed is x+2 km/h.
1. John takes 15 minutes to walk with speed x+2 km/h from school to the bus station, then the distance is 15·(x+2) km.
2. Jim takes 20 minutes to walk with speed x km/h from school to the bus station, then the distance is 20·x km.
3. The distance is the same, so
20x=15(x+2),
20x=15x+30,
20x-15x=30,
5x=30,
x=30:5,
x=6.
Answer: the distance between the station and the school is 6 km.