Answer:
$14.50 I'm positive.
Step-by-step explanation:
Rented one time shoes: $2.75
One game of bowling: $2.50*4 games of bowling
4 games of bowling is $10
One nachos: $1.75*2 orders of nachos
2 orders of nachos is $3.50
- Half price of nachos, so 3.50/2 which is 1.75.
- $2.75+$10+$1.75= <u>$14.50</u>
HOPE THIS HELPED :)
Answer:
10.5
Step-by-step explanation:
Answer:
r
Step-by-step explanation:
the variable is always the letter in the problem. Hope that this helps you and have a great day :)
Answer:
the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm
Step-by-step explanation:
since the volume of a cylinder is
V= π*R²*L → L =V/ (π*R²)
the cost function is
Cost = cost of side material * side area + cost of top and bottom material * top and bottom area
C = a* 2*π*R*L + b* 2*π*R²
replacing the value of L
C = a* 2*π*R* V/ (π*R²) + b* 2*π*R² = a* 2*V/R + b* 2*π*R²
then the optimal radius for minimum cost can be found when the derivative of the cost with respect to the radius equals 0 , then
dC/dR = -2*a*V/R² + 4*π*b*R = 0
4*π*b*R = 2*a*V/R²
R³ = a*V/(2*π*b)
R= ∛( a*V/(2*π*b))
replacing values
R= ∛( a*V/(2*π*b)) = ∛(0.03$/cm² * 600 cm³ /(2*π* 0.05$/cm²) )= 3.85 cm
then
L =V/ (π*R²) = 600 cm³/(π*(3.85 cm)²) = 12.88 cm
therefore the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm