A pharmacist has 40% and 80% of iodine solutions on hand. How many liters of each iodine solution will be required to produce 4 liters of a 50% iodine mixture?
.
Let x = liters of 40% iodine
then
4-x = liters of 80% iodine
Using algebra:
.40x + .80(4-x) = .50(4)
.40x + 3.20-.80x = 2
3.20-.40x = 2
x = 4 liters (40% iodine)
80% iodine:
4-x = 4-4 = 0 liters needed (80% iodine)
Answer:
[x-h]^2 + [y-k]^2 =r^2
Step-by-step explanation:
Let x and y be an arbitrary point along the circle
The equation of the circle is given as:
[x-h]^2 + [y-k]^2 =r^2
Answer:
t=1
Step-by-step explanation:
16-2t=t+9+4t
Combine like term
16-2t = 5t+9
Add 2t to each side
16-2t +2t= 5t+2t+9
16 = 7t+9
Subtract 9 from each side
16-9 = 7t+9-9
7 = 7t
Divide each side by 7
7/7 = 7t/7
1=t
Answer:
-33
The mean of the data set -45, -20, -35, -25, and -40 is -33.
Hope it helps.
Answer:
A
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180 for third angle
third angle = 180° - (39 + 56)° = 180° - 95° = 85° → A