Answer:
These are all equivalent to the ratio of 1:2
Step-by-step explanation:
Answer: 44.4%
Step-by-step explanation:
Answer:
24 g
Step-by-step explanation:
We first find the mass of 24 % alcohol in 400 g of hand sanitizer. Let x be the mass of alcohol. So, x/400 × 100 % = 24 %
x/400 = 0.24
x = 0.24 × 400
= 96 g
The mass of the other chemicals is thus 400 g - 96 g = 304 g
We now find the mass of 30 % alcohol in 400 g of hand sanitizer. Let y be the mass of alcohol. So, y/400 × 100 % = 30 %
y/400 = 0.30
y = 0.30 × 400
= 120 g
The mass of the other chemicals is thus 400 g - 120 g = 280 g
The mass of other chemicals that needs to be evaporated is thus 304 g - 280 g = 24 g
The answer is 37 years old.
I = -425x² + 45500x -650000
I = 450000
-425x² + 45500x -650000 = 450000
-425x² + 45500x - 650000 - 450000 = 0
-425x² + 45500x - 1100000 = 0
Divide all factors by 25:
- 17x² + 1820x - 44000 = 0
This is quadratic equation (ax² + bx + c = 0)
Since, the youngest age is needed, the correct answer is x = 37
Answer: the cost of one medium sized jug is $60
the cost of one large sized jug is $10
Step-by-step explanation:
Let x represent the cost of one medium sized jug.
Let y represent the cost of one large sized jug.
Jack bought 2 medium sized jugs and 3 large sized jugs for 150 dollars. This means that
2x + 3y = 150 - - - - - - - - - - - 1
Jill bought 4 medium jugs and 12 large jugs for 360 dollars. This means that
4x + 12y = 360 - - - - - - - - - - - 2
Multiplying equation 1 by 4 and equation 2 by 2, it becomes
8x + 12y = 600
8x + 24y = 720
Subtracting, it becomes
- 12y = - 120
y = - 120/ - 12
y = 10
Substituting y = 10 into equation 1, it becomes
2x + 3 × 10 = 150
2x + 30 = 150
2x = 150 - 30 = 120
x = 120/2 = 60
