Remark
Yes even though 8 is not a prime number. There is nothing that will divide into 3 or 8 the will give a whole number answer when the division is complete.
That means that 3 and 8 are prime to each other in base 10.
2m + 2p = 16 Subtract 2m from both sides
2p = 16 - 2m Divide both sides by 2
p = 8 - m
Answer:
Option A is right
Step-by-step explanation:
Let be demines be d
And quarter be q
therefore d+q=5.55 ---eq.1
since d is three more than q
therefore, d=q+3----eq 2
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)
The area is going to be like about 26