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.
Answer:
There are about 5,357 bees in the hive
Step-by-step explanation:
Let
x -----> the number of bees that leave the hive in one minute
y -----> the approximate number of bees in a hive
we know that
The formula to calculate the approximate number of bees in a hive is equal to
For x=25
substitute
therefore
There are about 5,357 bees in the hive
4/5,5/2 are the only ones that terminate
12 divided by 0.3 equals 40
