You can solve this one by adding their rates, but you have to invert the numbers they give you to find the rate. Rate is measured in something per unit of time, and "per" indicates division. So the rates are: 1/3 of an hour (Sally) and 1/6 of an hour (Steve). So add the rates: 1/3 + 1/6 = 1/2. (1/3 is 2/6, and 2/6 + 1/6 = 3/6). Since their combined rate is 1/2 of a room in one hour, it takes them two hours to paint the room.
This answer makes sense: It takes Sally three hours by herself; with Steve's help, she's faster, but not THAT much faster, because he's pretty slow. You can often spot-check word problem answers like this by giving it a common sense once-over. If we came up with four hours, that would clearly be wrong: it should take her LONGER if she's getting help.
Answer:
$91.75
Step-by-step explanation:
Jessica is paid:
- $0.45 per basket for the first 100 baskets picked;
- $0.50 per basket for all baskets over 100 picked.
1st day:
Jessica picked 65 baskets of oranges (less than 100)
Jessica is paid 
2nd day:
Jessica picked 135 baskets of oranges (35 more than 100)
Jessica is paid 
Altogether Jessica is paid
This should help you here are the steps of your problem :)
2*(1/2)*r+2*r+1 = 9*(1/10) // - 9*(1/10)
2*(1/2)*r+2*r-(9*(1/10))+1 = 0
2*(1/2)*r+2*r-9/10+1 = 0
3*r+1/10 = 0 // - 1/10
3*r = -1/10 // : 3
r = -1/10/3
r = -1/30
r = -1/30
So your answer would be 1/30
Answer:
4,095 ft³
Step-by-step explanation:
V=LWH
V = 3 x 15 x 14
V= 4,095
Hi
5/7 × 11/7 × 5/6 = 55/49 × 5/6 = 275/294
5/7 × 11/7 = (5×11)/(7×7) = 55/49
55/49 × 5/6 = (55×5)/(49×6) = 275/294 (irreducible)
Answer: 275/294
