50? 50 is greater than 40s
Answer:
954/7 or as a mixed number, 136 2/7
Step-by-step explanation:
Use Math-way it explains but the answer is slope -3 y-intercept 0,9
Assuming that the students were not asked about any other type of ice cream, there are 392 students and 142 do not like either of ther flavors. That means that there are 392-142=250 students who like one or both of the flavors listed.
However, when we add the number for chocolate (175) to the number for pistachio (200) we get 375. Since there are only 250 students that like the ice cream it must mean that there are some students who like both chocolate and pistachio.
Specifically there are 375-250=125 students who like both flavors of ice cream. That leaves 250-125 = 125 students who like one or the other but not both.
There are 125 students who like one flavor and 142 who like no flavors so 125 + 142 = 267 who like at most one flavor (0 or 1).
Answer:
Length = 4cm
Width = 4cm
Height = 8cm
Step-by-step explanation:
The volume of the box = 128cm^3
LWH = Volume
LWH = 128cm^3
The side of the box = $1 per cm^2
The top and bottom of the box = $2 per cm^2
Let C be the cost function
C(LWH) = (1) 2H (L+W) + (2) 2LW
from LWH = 128cm^39
H = 128/LW
put H = 128/LW in equation for C(LWH)
C(LW) = (1) 2(128/LW) + (L+W) +(2) 2LW
= 256/LW(L+W) + 4LW
= 256(1/L + 1/W) + 4LW
Differentiate C with respect to L
dC/dL = 4W - 256/L^2 = 0
Differentiate C with respect to W
dC/dW = 4L - 256/W^2 = 0
The cost is minimum when the two partial derivatives equal 0
From 4W - 256/L^2 = 0
4W = 256/L^2
W = (256/L^2) 1/4
W = 64/L^2
From 4L - 256/W^2 = 0
4L = 256/W^2
L = (256/W^2) 1/4
L = 64/W^2
Since L = W,
L= W = cuberoot (64)
L = W = 4cm
Recall that H= 128/LW
H = 128/(4*4)
H= 128/16
H= 8cm
therefore;
L= 4cm
B= 4cm
H= 8cm
