Depth of the bathtub = 18 inches
Time taken to fill 3 inches of the bathtub = 2 minutes
Then
The amount of depth needed to fill with water = (18-3) inches
= 15 inches
Time required to fill 15 inches of the bathtub = (15*2)/3 minutes
= 30/3 minutes
= 10 minutes
So John is correct in thinking that it will take 10 more minutes for the water to reach the top of the tub if he continues at the same rate.
Hope this helps!
<span>The
high school marching band rehearses with either 6 or 10 members in
every line.What is the smallest number of people who can be in the
marching band?
</span>
Given:
Total number of girls in her class = 16
Total number of boys in her class = 14
To find:
The number of different ways of choosing one girl and one boy.
Solution:
We have,
Total number of girls = 16
Total number of boys = 14
So,
Total number of ways to select one girl from 16 girls = 16
Total number of ways to select one boy from 14 boys = 14
Now, number of different ways of choosing one girl and one boy is

Therefore, the required number of different ways is 224.
In this item, it is assumed that we are to determine the speed at which the car will have the best gas mileage. This can be done by deriving the equation and equating it to zero.
M(s) = -1/28s² + 3s - 31
Deriving,
dM(s) = (-1/28)(2s) + 3 = 0
s = 42
Hence, the speed at which the best mileage is achieved is mi/h.
Common ratio = second term / first term = 12 / 8 = 1.5