Answer:
c = 177n - 314
Step-by-step explanation:
c = 177n - 314
Answer:
Step-by-step explanation:
Rate of change of the graph is the slope of the line, which is ¼.
slope of y = ⅖x = ⅖ > ¼
All her patients with with no cavities
Patients younger than 18
Every patient with braces
Answer:
x=151/64 y=9/8 z=-51/32
Step-by-step explanation:
2x+2y+5z- (2x-y+z)=-1-2
3y+4z=-3
2x+2y+5z- (2x+4y-3z)=-1-14
-2y+8z=-15
We have two equations 3y+4z=-3 and -2y+8z=-15 (We get it due to elimination method)
3y+4z=-3 (2)
-2y+8z=-15 (-3)
6y+8z=-6
6y-24z=45
(6y+8z)- (6y-24z)= -6-45
32z=-51
z=-51/32
3y-204/32=-3
3y= -96/32+204/32
3y=108/32
y=36/32=9/8
2x+2*9/8+5*(-51/32)=-1
2x+9/4-255/32=-1
2x+72/32-255/32=-1
2x-183/32=-32/32
2x=151/32
x=151/64
Let t and s represent the masses of 20% and 60% alloys respectively.
t+s=80, s=80-t
(0.2t+0.6s)/80=0.52 multiply both sides by 80
0.2t+0.6s=41.6, now using s=80-t in this equation gives us:
0.2t+0.6(80-t)=41.6 perform indicated multiplication on left side
0.2t+48-0.6t=41.6 combine like terms on left side
-0.4t+48=41.6 subtract 48 from both sides
-0.4t=-6.4 divide both sides by -0.4
t=16, since s=80-t
s=64
So 16kg of 20% alloy is mixed with 64kg of 60% allow to make 80kg of a 52% alloy.
