Let number of hamburgers is x, than number of cheeseburgers is x-67
x+(x-67)=633
2x=700
x=350
Answer: 350 hamburgers were sold on Tuesday
So we’re looking how many combinations we can make by selecting 5 items in a group of 17.
So we use n C r.
Where I the number of combinations of n objects taken r at a time.
So, 17 C 5
17! / (17-5)! 5! = 6188
(I hope this is correct)
So this is not too hard, as with any math problem we write what we know.
Starting speed: 80km/h
Time from P to Q: 2.5h
Increase in speed: 20km/h (25% is dividing by 4)
Distance from Q to R: 150 kilometers
So let's find the speed and distance for both legs of the trip.
Speed for P to Q: 80km/h
Distance from PtoQ: 200km (2.5h * 80km/h)
Speed from Q to R: 100km/h (80 +20)
Distance from QtoR: 150km.
Now we multiply the speeds by their respective distances add them and then divide by the total distance.
((80 *200) + (100 * 150))/350 = ~88.57143
Answer:
A piece of duct measures 48 inches.
In each connection, we lost 1 1/2 inches (i guess that it is what you wanted to write)
Then:
If we have 7 pieces of duct connected we have 5 connections (the ones in the extremes are not connected between them, so the number of connections is equal to the number of ducts minus two.)
So here we have 7 times 48 inches for the pieces, minus 5 times 1 1/2 in (i will write 1 1/2 = 1 + 0.5 = 1.5 in, so the math is easier) for the connections, the length is:
L = 7*48in - 5*1.5in = 328.5 inches.
for the 12 pieces duct, we have 12 pieces and 10 connections, so the length is:
L = 12*48in - 10*1.5in = 561 in
Now, if we want to make only one duct with those two, then we must add their lengths, but if we connect them, we also need to subtract the 1.5in of the new connection:
L = 561in + 328.5in - 1.5in = 888in
