Answer:
The answer is attached to the picture
The first thing we need to do is find the rate of parts for 15 minutes.
So, we divide 114 parts per 6 minutes and get 19 parts per minute
Then we multiply this rate per minute by 15 minutes
The answer is 285
Attached Work Below:

Answer: -4/15
Step-by-step explanation: To add these two fractions together,
we start by finding their <em>Least Common Denominator</em> (LCD).
Since our denominators of 5 and 3 have no factors in common,
our least common denominator is 5 · 3 or 15.
In order to get a denominator of 15 in each fraction,
we multiply top and bottom of the first fraction by 3
and top and bottom of the second fraction by 5.
That gives us -9/15 + 5/15 which simplifies to -4/15.
As your last step, make sure that the fraction
that you end up with doesn't reduce.
In this case, -4/15 does not reduce but watch out for this last step.
8 t ^ 2 + 4 t ^ 2 - 8 4 t
The length of the rectangle is = 72 cm
The width of the rectangle is = 56 cm
Area of the rectangle is = 
=
cm²
As given, the other rectangle has the same area as this one, but its width is 21 cm.
Let the length here be = x


Hence, length is 192 cm.
We can see that as width decreases, the length increases if area is constant and when length decreases then width increases if area is constant.
So, in the new rectangle,constant of variation=k is given by,
or 
Hence, the constant of variation is 