Answer:
$10
Step-by-step explanation:
Let a = the amount Angela has saved.
Let e = the amount Eli has saved.
"Eli has saved $8 more than 1/3 of Angela's savings."
e = a/3 + 8
"If they each save $10 more." then
Eli will have: e + 10
Angela will have a + 10
"Eli will have saved $4 more than Angela's savings."
e + 10 = a + 10 + 4
This equation simplifies to: e = a + 4
We have a system of two equations in two variables.
e = a/3 + 8
e = a + 4
Since both equations are solved for e, we just equate the right sides.
a/3 + 8 = a + 4
Subtract a/3 from both sides. Subtract 4 from both sides.
a/3 - a/3 + 8 - 4 = a - a/3 + 4 - 4
4 = (2/3)a
Multiply both sides by 3/2
(3/2)4 = (3/2)(2/3)a
6 = a
a = 6
Angela has $6.
e = a + 4 = 6 + 4 = 10
Eli has $10.
Answer:
I think its 5 to the third (the second option). but I'm not sure. Im not the best with exponents.
Answer:
Step-by-step explanation:
Answer:
For a sphere, the height is equal to the diameter, or two times the radius.
and because both objects have the same base area, then we can take the radius of the sphere equal to R and the radius of the base of the cylinder also equal to R.
The volume of the cylinder is:
Vc = pi*r^2*h
and here we have r = R and h = 2R
V = pi*(R^3)*2
the volume of a sphere of radius R is:
Vs = (4/3)*pi*R^3
The quotient between them is:
Vc/Vs = 2/(4/3) = 6/4 = 3/2.
This means that the volume of the cylinder is 3/2 times the volume of the sphere, always, for any value of R.
I don’t know for sure but the length is 40 and the width is 10.
