Step-by-step answer:
A line with slope (or gradient) m, passing through a point (x0,y0) can be represented by the equation:
(y-y0) = m(x-x0) ......................(1)
Here,
(x0,y0) = (1,7), and
slope/gradient = -2
Substitute values into (1) above gives
(y-7)=2(x-1)
Expand and simplify
y-7 = 2x-2
y =2x -2 + 7
y=2x+5
is the final answer.
Instead of using PEMDAS or the Order of Operations, the student went ahead and solved the equation as though it were written 6 * 12 - 8.
The correct way to solve would be to first solve the parentheses. 12 - 8 is equal to 4. 4 times 6 is 24, giving us an answer of 24.
<span>First we define Charlene's the average time, which is (8.4 + 8.6 + 8.3 + 8.5 + 8.7 + 8.5)/6 = 8.5. Normal time is 8.5/1.1 = 7.7. Charlene is faster than normal.</span>
In order to solve the amount of each solution, we need to set up equations. We do as follows:
Let x = solution with 32% sodium
y = solution with 12% sodium
Overall balance
x + y = 50
Component balance
.32x + .12y = 50(.20) =10
Solving simultaneously,
x = 20
y = 30
Hope this answers the question. Have a nice day.
