9514 1404 393
Answer:
8
Step-by-step explanation:
If the integer is n, half of it is n/2. The next integer is (n+1) and 1/3 of it is (n+1)/3. You want ...
n/2 - (n+1)/3 = 1
n(1/2 -1/3) -1/3 = 1
n/6 = 4/3 . . . . . . . . add 1/3, simplify
n = 6(4/3) = 8
The integer is 8.
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:
Step-by-step explanation:
6+8=14
Answer:
h(4) = 1/2 (4) - 8 = 2 - 8 = -6
Step-by-step explanation:
Perimeter = 26 Explanation: count the sides of the shape then add them all
