V (Volume) = s^2 * h = 48 ------> h = 48s^-2
C (Cost) = (4sh)(2) + (2s^2)(1) = 2s^2 + 8sh = 2s^2 + 8s(48s^-2) = 2s^2 + 384s^-1
dC/ds = 4s - 384s^-2 = 0 ------> 4s(1 - 96s^-3) = 0
Since s can't be 0, the only possible solution is:
1 - 96s^-3 = 0
s^3 - 96 = 0
s = cube root(96) = 2 cube root(12) ~ 4.579 cm
s^2 = 4 + 2 cube root(18) = 2[2 + cube root(18)]
h = 48/s^2 = 24/[2 + cube root(18)] ~ 5.194 cm
Answer:
x=-3/43
Step-by-step explanation:
Amount the coach will pay for the tennis balls
= 30/12 x 100
= $250
Answer:
he volume of cube with side length of four and a half centimeters,
(4.5)³ = 91.125 cm³
Step-by-step explanation:
<u>Formula:</u>
Volume of a cube with side 'a' is given by,
Volume, V = a³
<u>To find the volume of cube</u>
It is given that,a cube has a side length of four and a half centimeters
⇒ a = 4.5
Volume V = a³
V = (4.5)³ = 91.125 cm³
Therefore the volume of cube with side length of four and a half centimeters= 91.125 cm³
X= adult tickets
Y= Children tickets
You need two equations one is number of people
Second formula is the money
X+y= 429
1x+ .75Y= 372.50
You can use the substitution or elimination method
I will use substitution make X = 429-y using the 1st equation then put it in the 2nd
429-1y+.75y= 372.50
429 -.25y= 372.50
-429. -429
-.25y=. -56.5
Divide both side by -.25
y= 226
So 429-226= 203 for X
203 adult tickets and 226 children tickets