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.
-26n -22= n - 90
-26 times a number: -26n
minus 22: -22
equal: =
90 less than a number: n - 90
Solving the Equation:
Move n to the left side of the equal sign (which becomes -n) in order to combine like terms:
-26n-n-22= -90
Move -22 to the right side of the equal sign which becomes +22
-26n-n=-90+22
solve both sides; -26n-n= -27n and -90+ 22= -78
-27n=-78
n= 2.888888
Answer:
(b) or (d)
Step-by-step explanation:
stidents who play basketball = 4y^2 + y - 8 - (2y + 16) = 4y^2 - y - 24
This is a question on forming and solving equations and expressions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Answer:
$250
Step-by-step explanation:
The goal here is to find the cost of the painting BEFORE the 60% increase.
To find the cost of the painting, we must take in the information we already have:
Increase percent: 60%
Original price: unknown
Price after increase: $400
$400 is the price of the painting AFTER the increase has been added. So this equals the cost of the painting before the increase, plus the total amount of the increase (which is 60% of the original price).
The total must be (100% + 60% = 160%) 160% of the original painting price.
To find the original price, we must divide the increased price by the new percentage (160%). But how do we get here?
Well, we have 160% and our (fraction) $400/1%. We will have to switch the 160% and the 1%, giving us..
1% $400/160%
We take 400/160, which is 2.5. But this is only 1% of the original price! We want 100%.
So now, we multiply the 2.5 by 100 to get our answer: $250.
Answer:
0
Step-by-step explanation:
5y+20=5y+20
