Answer:
Step-by-step explanation:
For mixture problems, it is convenient to define a variable to represent the amount of the greatest contributor. Let x represent the amount of 22% solution in the mix. Then 4.8-x is the amount of 10% solution.
The amount of alcohol in the mix is ...
0.22x +0.10(4.8-x) = 0.12(4.8)
Eliminating parentheses, we have ...
0.22x -0.10x +0.10(4.8) = 0.12(4.8)
Subtracting (0.10)(4.8) and combining x-terms gives ...
0.12x = 0.02(4.8)
x = (0.02/0.12)(4.8) = 0.8 . . . . . divide by the x-coefficient
The scientist needs 0.8 L of 22% solution and 4.0 L of 10% solution.
Answer:
A) x-3 and D) x+9
Step-by-step explanation:
x^2 + 6x - 27
You need to find two numbers that multiply to -27 and add up to 6
Those two numbers are -3 and 9, because 9 * -3 = -27 and 9+ -3 = 6
So you add those to x and those are your two factored binomials
(x-3) and (x+9)
Answer:
x = 5/33 or 0.151515151
Step-by-step explanation:
7(-6x-2) = 8(3x-4)
step 1: simplify the equation.
-42x - 14 = 24x - 4
step 2: isolate the variable (using the balance method).
-42x - 14 + 14 = 24x - 4 + 14
-42x = 24x + 10
-42x - 24x = 24x - 24x + 10
-66x = 10
step 3: solve for x.
x = 10 ÷ -66
x = 5/33
Let's say the number is x
75%of x is 15
75%x=15
0.75x=15
x=15/0.75
x=20
or you can say 3/4x=15
x=15*4/3
x=20
im guessing c, but dont answer it becuase im not really sure