Answer:
The percentage is 36%
Step-by-step explanation:
We are given
Shade the grid to represent the ratio 9/25
so, we have ratio as
we know that for finding percent , we multiply ratio by 100
so, we can multiply by 100 here
now, we can simplify it
So,
The percentage is 36%
They are both similar but not entirely the same.
The first expression y/x means we divide y over x. We divide two values here and we are not subtracting first before division. This expression is useful for when you want to find the variation constant in the equation y = kx (for direct proportion equations).
The other expression (y2-y1)(x2-x1) is where we first subtract the y values, and do the same for the x values, before we divide. This computes the slope of the line through the two points (x1,y1) and (x2,y2). It's also useful to figure out the average rate of change (one application of slope). For problems involving time versus distance, the average rate of change is the average speed in which the object is moving.
Part A
Her steps were
Kelsey made a mistake on line 3. Note how the 17/6 flips to 6/17. This is not correct. You keep the first fraction the same, but you do flip the second fraction. This only applies when you divide two fractions.
The third step should look like
=======================================================
Part B
Here's what she should have written
If you want to convert that improper fraction to a mixed number, then you could do something like this
Or you could divide 17 over 8 using long division to get 2 remainder 1. The 2 is the quotient that goes to the left of the 1/8. The remainder of 1 is the numerator of 1/8.
I'm guessing the % of syrup refers to the % of sugar it has, therefore:
75% = 75 / 100 = 0.75
0.75 * x = 0.5
x = 0.5/0.75
x = 0.66
She will have 0.66 lbs of syrup
The second one is the correct answer