Answer:
Tasha should mix 25 liters of 20% solution and 50 liters of 50%.
Step-by-step explanation:
Let x liters be the amount of 20% solution and y liters be the amount of 50% solution Tasha takes.
1. Tasha needs 75 liters of a 40% solution of alcohol. Then
x + y = 75
2. There are
- liters of alcohol in x l of 20% solution
- liters of alcohol in 50% solution
- liters of alcohol in 75 liters of 40% solution
In total, of alcohol that is 30 l, so
0.2x + 0.5y = 30
3. Solve the system of two equations:
From the first equation:
Substitute it into the second equation
Tasha should mix 25 liters of 20% solution and 50 liters of 50%.
Interest = $600.00
$10,000 × 0.03 × 2 = $600.00
you would now owe $10600.00
Answer:
-1
Step-by-step explanation:
The given function, f(x), has three distinct parts. We must find and choose the part whose domain includes x = 1.
This x = 1 is a member of the set 1 ≤ x < 2. Therefore, we choose the 2nd part of this function: evaluate -x^2 at x = 1. This comes out to -1^2, or -1. that's the second answer choice.
19x+12y=17
step 1: move the thing that you're looking for to the left side and all the rest to the right side:
(19x +12y)-19x = 17 -19x
12y = 17 -19x
step 2: to find y, you need to get rid of 12. to do so you need to devide everything by that number:
(12y)/12 = 17/12 -19/12 x
y= 17/12 -19/12 x
step 3: simplify of possible. ( in this exercise it isnt)
step 4: rearange the equation if necessary
y= 17/12 + -19/12x
y= -19/12x + 17/12