Austin uses 435.714 milliliters of solution B to get a resulting mixture that has 244 milliliters of pure alcohol.
Step-by-step explanation:
Step 1; Assume solution B has 1x ml of liquid in it. As solution A has three times that of solution B, it has 3x ml of liquid.
Step 2; In solution A there is 12% of alcohol and solution B has 20% alcohol. So alcohol content in solution A is 12% of 3x = 0.12 x 3x and the alcohol content in solution B is 20% of x= 0.20 x 1x.
Step 3; Use this formula

here Volume of solute is the total of solution A and B= (0.12 x 3x) + (0.20 x 1x) which equals 0.56x. The volume of solution is 3x + 1x which equals 4x. Substituting numerator and denominators we get a volume of 14%.
Step 4;This 14% is the concentration of alcohol in the mixture of solution A and solution B which is given as 244 ml. If 14% is 244 ml then 100% equals 1742.857 milliliters. The total of solution A and B equal 4x which is 1742.857 milliliters. So we get solution A has 1307.1428 milliliters and solution B has 435.71428 milliliters of liquid.
Answer:
3/20
Step-by-step explanation:
Of means multiply. When it says 3/10 of 4/8, it just means 3/10*4/8 which when multiplied across gives you 12/80. Which can be simplified to 3/20.
Hope this helps.
There are 9 number cards from 2 to 10 in a deck of cards.
(2-10) has one 9
(2-10) has one 9
(2-10) has one 9
(2-10) has one 9
There are 4 nines in a deck of 52 cards. We know that 4 x 9 = 36.
The chance or probability of taking out a 9 is (36/52).
Reducing this fraction to the lowest terms we get 9/13.
Answer:
Midpoint is ( Average of x’s, Average of y’s )
1 = (x + 7)/2
2 = x + 7, x = - 5
and - 1 = (y + (-4))/2
so - 2 = y - 4 and y = 2
Pt B = (- 5, 2)
Hello There =)
Commutative property is used. The commutative property <span>states that two numbers can be multiplied in either order.</span>