SA=2H(L+W)+LW for open box
20=2H(4+W)+4(W)
distribute
20=8H+2WH+4W
divide both sides by 2
10=4H+WH+2W
solve for 1 variable, pick W
10-4H=WH+2W
10-4H=W(H+2)
(10-4H)/(H+2)=W
V=LWH
subsitute 4 for V, subsitute H for H and (10-4H)/(H+2) for W
V=(4)(H)(10-4H)/(H+2)
V=(40H-16H²)/(H+2)
find max value
take deritivitive of this thing
V'=-16(H²+4H-5)/((H+2)²)
using sign chart
sign changes from positive to negative at H=1
so at H=1
find W
W=(10-4H)/(H+2)
W=2
the dimeionts are
length=4ft
width=2ft
height=1ft
(the volume is 8 cubic feet)
Answer:
The number of eggs in the basket is 56
Step-by-step explanation:
Given as :
Let The number of eggs in the basket = 3x + 5x
When Loza counts 3's , there are 2 eggs left over
I.e , 3 ( x - 2 )
And When Loza counts 5's , there are 4 eggs left over
I.e 5 ( x - 4 )
∴ 3 x - 6 = 5 x - 20
Or, 20 - 6 = 5 x - 3 x
Or, 14 = 2 x
∴ x = 7
So, the number of eggs = 3 × 7 + 5 × 7
= 21 + 35 = 56
Hence The number of eggs in the basket is 56 Answer
Answer:
174
Step-by-step explanation:
Rental Fee ÷ Cost of Ticket = # of people needed
$4000÷$23=173.9....
Can't have .9 of a ticket, so round up to 174.
# of people needed is 174
