Convert 3 6/2 to an improper fraction so: 12/2
convert 2 4/5 to 14/5
multiply the numerators of the improper fractions so 12*14, which is 168.
multiple the denominators so 2*5, which is 10.
the new fraction is 168/10, so you divide 168 divided by 10, which is 16.8, or 16 4/5.
Answer: B) 4 BTUs/ft^3
Step-by-step:
For a cuboid of length L, width W and height H, the volume is:
V = L*W*H
In this case, we have:
L = 20ft
W = 15ft
H = 10ft
Then the volume of the room is:
V = 20ft*15ft*10ft = 3000 ft^3
Now we have 6 people, and each generate 400 BTUs per hour.
Then in total, they generate:
6*400 BTUs per hour
2400 BTUs per hour.
Now we want to find the BTUs per ft^3 produced in 5 hours.
Then if they generate 2400 BTUs per hour, in 5 hours they generate a total of:
5*2400 BTUs = 12000 BTUs
Now we take the quotient between the total BTUs and the volume of the room:
Q = (12000 BTUs)/(3000 ft^3) = 4 BTUs/ft^3
The correct option is B.
Answer:
x-4y+12
Step-by-step explanation:
Answer: the rate uphill is 6 mph.
The rate downhill is 10 mph
Step-by-step explanation:
Let x represent the rate at which the jogger ran uphill.
The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph
Time = distance/speed
if the jogger can runs 5 miles downhill, then the time taken to run downhill is
5/(x + 4)
At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is
3/x
Since the time is the same, it means that
5/(x + 4) = 3/x
Cross multiplying, it becomes
5 × x = 3(x + 4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 12/2
x = 6
The rate downhill is 6 + 4 = 10 mph
