Answer:
1/4
Step-by-step explanation:
1/6 + 1/12 = 1/4
If a 12 oz bottle of shampoo lasted for 16 weeks, we have a ratio of 12:16 which can be shortened to 3:4.
Now if we have 18 oz bottle we know that it's 1/2 more than 12 oz bottle, so the ratio will be also 1/2 more. So if it was 12:16, the new ratio will be:
12 + (1/2 * 12) : 16 + (1/2 * 16)
12 + 6 : 16 + 8
18 : 24
It means that 18 oz bottle should last for 24 weeks. Of course the ratio has to stay the same in its lowest form in both situations and as 18:24 can be shortened to 3:4, it proves it's correct :)
Answer:
it would be in the 100eds place
Step-by-step explanation:
Answer:
x = 13
Step-by-step explanation:
The sum of angle measures in a triangle is 180°.
m∠M + m∠L + m∠N = 180°
(4x-4)° + (3x+12)° + (6x+3)° = 180°
13x +11 = 180 . . . . . . collect terms, divide by °
13x = 169 . . . . . . . . . subtract 11
x = 13 . . . . . . . . . . . . . divide by 13
The slope of the first equation is -2, you can see it right off.
the slope of the second equation is 2, notice both are in slope-intercept form.
both equations are the equations of a line, so is really just two lines.
because their slope differs, they're not parallel or equivalent, therefore, they lines do meet at some point, and one point only, and therefore, they have 1 solution only.
a system of equations with at least 1 solution, is a consistent system.
a consistent system with exactly 1 solution only, is not just consistent, but also independent.
