Answer:Teo's age = 7 years ,Richard's age = 19 years
Step-by-step explanation:
Step 1
Let Teo's age be represented as x
Such that Richard 's age = 5 + 2x
and their combined ages equaling 26 can be expressed as
x + 5+ 2x = 26
Step 2 --- SOLVING
x + 5+ 2x = 26
3x+ 5= 26
3x= 26-5
3x= 21
x = 21/3
x = 7
Teo's age = 7 years
Richard's age = 5+2x= 5 + 14= 19 years
The only restraints on profit result from the restriction on the domain which in turn place a restriction on profit.
0≤k. Knives sold cannot be negative.
So the range of profit or p is:
p=[-500, +oo)
Profit increases as the number of knives sold increases. $200 more profit is gained by each sale of a knife.
4000=200k-500
4500=200k
k=22.5
Since k is for knives sold, it must be an integer value, so a $4000 profit is not possible. At 22, p=3900 and at 23, p=4100
<span>you're given both arcs, minor and major, or near and far arcs, all you need to do, is really plug them in</span>
the formula for volume of sphere is 4/3||r^3
diameter=2radius
in the formula we need to have radius but we have been given diameter so we convert diameter to radius
d=2r
r=d/2
9.5÷2
4.75