Answer:
see below
Step-by-step explanation:
1. 2m = 24
Divide each side by 2
2m/2 = 24/2
m = 12
2. y – 9 = 30
Add 9 to each side
y-9+9 = 30+9
y = 39
3. X/4 = 12
Multiply each side by 4
x/4*4 = 12*4
x = 48
4. k + 12.5 = 30
Subtract 12.5 from each side
k+12.5-12.5 = 30-12.5
k =17.5
5. 3r = 15.3
Divide by 3
3r/3 = 15.3/3
r =5.1
Answer:
C
Step-by-step explanation:
The recommended daily intake of a nutrients supplement for a certain age group is 800 mg per day.
Actully supplements needs vary from person to person plus or minus 50 mg.
This means the minimum value is 800 - 50 = 750 mg per day and the maximum value is 800 + 50 = 850 mg per day.
Let x mg be a possible daily amount of nutrients supplement. Then

Subtract 800:

This inequality can be rewritten using absolute value notation as
107/6
Step-by-step explanation:
3x+1+3x=108
6x=108-1
6x=107
x=107/6
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.
Answer:
4+(4-3y) to the power of 3, 4x(5.5+3y) since y = 3.
Step-by-step explanation: