Answer:
20
Step-by-step explanation:
it equals 19.99 but if you round it equals to 20
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:
x = 3
Step-by-step explanation:
7/x - 3/(2x) + 7/6 = 9/x
x(7/x - 3/(2x) + 7/6) = x(9x)
x*7/x - 3*x/(2x) + x*7/6 = x*9x
7 - 3/2 + 7x/6 = 9
7x/6 = 9 - 7 + 3/2
7x/6 = 2 + 3/2
7x/6 = 12/6 + 9/6
7x = 12+9
7x = 21
x = 21/7
x = 3
probe:
7/3 - 3/(2*3) + 7/6 = 9/3
14/6 - 3/6 + 7/6 = 3
(14 - 3 + 7) / 6 = 3
18/6 = 3
Answer:
278.63 square inches
Step-by-step explanation:
Gina needs to cut two types of rectangles.
Dimensions of one rectangle is given as,
Width = 12 inches
Length = 
= 
inches
So, the area of this rectangular paper will be
Area = width × length = 
= 171 inches²
Dimensions of the other rectangular paper has been given as
Width = 
= 
inches
Length = 
= 
inches
So, the area of this rectangle will be
Area = width × length = 
= 107.63 inches²
Thus the total area she need to cut = 171 + 107.63 = 278.63 square inches.
Answer:
$38,500
Step-by-step explanation:
Take the $385, then divide it by the percentage you know, 1 percent (.01 as a decimal) 385/.01 = $38,500, which is your answer.
Hopefully this helps - let me know if you have any questions!
