Answer:
17 quarters, 37 nickels
Step-by-step explanation:
We just have to set up a system of equations
quarters are x
and nickels are y
x+y=54
0.25x+0.05y=6.10
now we can get ready to substitute
x=54-y
substitute it in
0.25(54-y)+0.05y=6.10
simplify/evaluate
13.5-0.25y+0.05y=6.10
-0.2y=-7.4
y=37
plug it back in
x+37=54
x=17
Answer: I think it is B
Step-by-step explanation:
Answer:y = 11
Step-by-step explanation:
The volume of the sphere is:
V = 4 / 3πr ^ 3
Deriving we have:
V '= (3) (4/3) (π) (r ^ 2) (r')
From here, we clear the value of r ':
r '= (V') / ((4) (π) (r ^ 2))
Substituting values:
r '= (2π) / ((4) (π) ((5) ^ 2))
r '= (2π) / ((4) (π) (25))
r '= (2π) / (100π)
r '= 1/50
Then, the surface area of the sphere is:
A = 4πr ^ 2
Deriving we have:
A '= 8πrr'
Substituting values:
A '= 8π (5) (1/50)
Rewriting:
A '= (40/50) π
A '= (8/10) π
A '= (4/5) π
Answer:
The surface area of the sphere is decreasing at:
(A) 4pi / 5
Answer:
It is an obtuse angle so correct
