Answer:
twenty five point four ....25.4
Answer:
Part A
5yr old boy.
Y=-(1/8)x+113/8 x=5
Y=-5/8+113/8=(113-5)/8=108/8
Y=13.5 hrs
Yes the estimated value of sleep by this function is reasonable as it is close to childhood more sleep is likely.
Part B
20yr old boy.
Y=-(1/8)x+113/8 x=20
Y=-20/8+113/8=(113-20)/8=93/8
Y=11.63 hrs
No the estimated value of sleep by this function is not reasonable as the normal sleep of 7-8 hrs is enough for adults.
Step-by-step explanation:
Answer:
the length is 8ft
the width is 3ft
Step-by-step explanation:
Step one:
given
perimter= 22ft
let the length be x
width = x-5
Step two
the expression for the perimeter of a rectangle is
P=2L+2W
substituting our data
22= 2(x)+2(x-5)
open brackets
22=2x+2x-10
collect terms and solve for x
22+10=4x
32=4x
divide both sides by 4
x= 32/4
x= 8ft
the length is 8ft
the width = x-5= 8-5= 3ft
Answer:
x = 7
y = 3
z (max) = 4950/3 = 1650
Step-by-step explanation:
Let call
x numbers of church goup and
y numbers of Union Local
Then
First contraint
2*x + 2*y ≤ 20
Second one
1*x + 3*y ≤ 16
Objective Function
z = 150*x + 200*y
Then the system is
z = 150*x + 200*y To maximize
Subject to:
2*x + 2*y ≤ 20
1*x + 3*y ≤ 16
x ≥ 0 y ≥ 0
We will solve by using the Simplex method
z - 150 *x - 200*y = 0
2*x + 2*y + s₁ = 20
1*x + 3*y + 0s₁ + s₂ = 16
First Table
z x y s₁ s₂ Cte
1 -150 -200 0 0 = 0
0 2 2 1 0 = 20
0 1 3 0 1 = 16
First iteration:
Column pivot ( y column ) row pivot (third row) pivot 3
Second table
z x y s₁ s₂ Cte
1 -250/3 0 0 200/3 = 3200/3
0 - 4/3 0 -1 2/3 = -20/3
0 1/3 1 0 1/3 = -20/3
Second iteration:
Column pivot ( x column ) row pivot (second row) pivot -4/3
Third table
z x y s₁ s₂ Cte
1 0 0 750/12 700/6 = 4950/3
0 1 0 3/4 -1/2 = 7
0 0 1 -1/4 1/2 = 9/3
Answer:
160% of 45 is 72.
Step-by-step explanation:
72/45=1.6
1.6=160%
