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.
110
2 and 5 are prime and thus share no common factors. The lowest common multiple of 2 and 5 is therefore 2 x 5 = 10.
Your answer must be a multiple of 10 and there is only one answer in that range that fits.
Double-check:
110 / 2 = 55 r. 0
110 / 5 = 22 r. 0
Answer:
X = 149
Step-by-step explanation:
A full circle is 360 degrees
Add 160+51=211
360-211=149
Answer:
x = -8
Step-by-step explanation:
x + (8/4) = -6
x × 4 + (8/4) × 4 = -6 × 4
4x + 8 = -24
4x = -24 - 8
4x = -32
x = -8
I think it’s 8 but unsure