Answer: 600 bushels of 10% alcohol content and 400 bushels of 15% alcohol content.
Step-by-step explanation:
Let we add x quantity of 10% of alcohol content and y quantity of 15% alcohol content for making 12% of alcohol content mixture.
Then according to the question, 10% of x + 15 % of y = 12% of 1000
⇒ 0.1x + 0.15y = 120
⇒ 10x + 15y = 1200
⇒ 2x +3y = 2400 -------- (1)
And, x + y = 1000
⇒ 2x + 2y = 2000 ---------(2)
Equation 1) - equation 2)
We get y = 400
By putting the value of y in equation 1),
⇒2x + 1200 = 2400
⇒ 2x = 1200
⇒ x = 600
Thus, he needs to mix 600 bushel of 10% of alcohol content with 400 bushels of 12% of alcohol content for getting 1000 bushels of 12% of alcohol content.
Answer:
I am not able to understand the question
Answer:
B
Step-by-step explanation:
Okay, so this is a fairly challenging problem.
Parallel lines have the same slop, but different y-intercepts.
The new equation is y = 4/3 x + b
Now substitute x and y for the point's coordinates...
-4 = 4/3 (3) + b
(solve for b)
-4 = 12/3 + b
-4 = 4 + b
b = -8
The final equation is:
y = 4/3 x - 8
In point-slope form, this is B
2 and 4 are both correct statements.
Answer:
The odds against making a free throw are: 0.1905 or 0.16:0.84
Step-by-step explanation:
The odds can be categorized into two categories
- Odds-against
- Odds-in favour
The odds against is the ratio of probability of failure to probability of success.
Given
Probability of making a free throw = P = 0.84
Probability of not making a free throw = Q = 1-P = 1-0.84 = 0.16
The formula for odds-against is:
Hence,
The odds against making a free throw are: 0.1905 or 0.16:0.84
