Answer:
16/3
Step-by-step explanation:
Answer:
6 ounces
Step-by-step explanation:
Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.
After converting the percentages to their decimal equivalents, set up the necessary equation as follows:
0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.
0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.
0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.
0.12 = 0.02x Finally, divide both sides by 0.02
x = 6
You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.
Solve for x by cross multiplying then isolating the variable:

cross multiply
15x=90 Isolate the variable
x=6
Solve for y by cross multiplying then isolating the variable:

cross multiply
9y=90 Isolate the variable
y=10
A star is written to show multiplication. It is a replacement for a dot or a x which is what you probably learned to be the "times" sign. In upper level maths, the "x" is replaced with a " * " to make it more legible and to avoid confusion with the variable "x".
Answer:
03) y≈-3x±11
Step-by-step explanation: