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:
6x-5=59 answer
Step-by-step explanation:
6x=64
x=64/6
x=10.66
3 to 9 clouds are smiley faces Explaintion- hope it’s right
Hello from MrBillDoesMath!
Answer: x = 7/10
Discussion:
To eliminate fractions multiply each side by 10:
10 ( 9/5x - 2/5 ) = 10 * ( 8x +3)/10 or
10 * ( 9/5)x - 10 *(2/5) = 8x + 3 or
9 *2 x - 2*2 = 8x +3 or
18x - 4 = 8x + 3. Subtract 8x for each side:
18x - 8x - 4 = (8x - 8x) + 3 or
10x -4 = 0x + 3 or
10x -4 = 3 or
10x = 7
x = 7/10
Thank you,
MrB