So you would set this problem up as 10 x 9 x 8 x 7, since none of the digits can be repeated. There are 5,040 4 digit passcodes possible.
Step-by-step explanation:
x = ounces of 20% solution
15% = 0.15
20% = 0.2
17% = 0.17
x × 0.15 + 8×0.2 = (8 + x)×0.17
x×0.15 + 8×0.2 = 8×0.17 + x×0.17
8×0.2 = 8×0.17 + x×0.02
8×0.03 = x×0.02
x = 8×0.03/0.02 = 12 ounces
we need to mix the 8 ounces of 20% with 12 ounces of 15% to get 17% alcohol (8 + 12 = 20 ounces of it).
You have to add 23 and 45 will get 68 then divide 68 by 4 and that is your answer
Answer:The solutions are:

and
Explanation:The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
2x² - 6x + 5 = 0
By comparison:
a = 2
b = -6
c = 5
Now, to get the solutions of the equation, we will have to use the quadratic formula shown in the attached image.
By substituting in the formula, we would find that:
either x =

or x =

Hope this helps :)
Answer:
x = 25
Step-by-step explanation:
The Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.
This means that
3x - 10 = 25 + (x+15)
3x - 10 = x + 40
Subtract x from both sides of the equation.
2x - 10 = 40
Add 10 to both sides.
2x = 50
Divide both sides by 2.
x = 25