The <em><u>correct answers</u></em> are:
60 pounds of onion rings and 60 hamburgers.
Explanation:
Jack serves a half pound of onion rings with every burger. He serves 120 bacon cheeseburgers. To find the number of pounds of onion rings, we multiply 1/2 pound by 120 burgers:
1/2(120) = 1/2(120/1) = (1*120)/(2*1) = 120/2 = 60 pounds of onion rings.
There were 8 hamburgers served out of the first 40 orders. If this rate continues, then to find the number of hamburgers out of 300 orders, we multiply 8/40 by 300:
8/40(300) = 8/40(300/1) = (8*300)/(40*1) = 2400/40 = 60
There would be 60 hamburgers.
Answer:
2/1x-12/6
Step-by-step explanation:
Answer:
For maximum volume the dimension should be;
w= 1.5ft , b=3ft and h= 2ft
Step-by-step explanation:
The surface area of the rectangular box
S = 2wb + 2wh + 2bh = 27ft^2 ......1
Given that b = 2w
Substituting into eqn 1
2w(2w) + 2wh + 2h(2w) = 27
4w^2 + 2wh + 4hw = 27
h(6w) = 27 - 4w^2
h = (27 - 4w^2)/6w .......2
The volume of a rectangular box is given as
V=w×b×h
V= w×2w×h = 2hw^2 ....3
Substituting eqn2 into eqn3
V=2w^2(27-4w^2)/6w
V = w(27-4w^2)/3 = (27w-4w^3)/3
To find the maximum point, we need to differentiate the eqn above.
At maximum dV/dw = 0
dV/dw = (27 - 12w^2)/3 = 0
12w^2 = 27
w^2 = 9/4
w = 3/2ft = 1.5ft
b = 2w = 6/2 = 3ft
h = (27 - 4w^2)/6w
h = (27 - 4(3/2)^2)/6(3/2)
h = ( 27 - 9)/6 = 18/9
h = 2ft