Into an improper fraction?
Answer:
A) 10x + 8 = 21
B) x = 1.3
Step-by-step explanation:
2(2x + 3) + 2(x + 1) + 4x = 21
4x + 6 + 2x + 2 + 4x = 21
10x + 8 = 21
10x = 13
x = 1.3 cm
Find the length of the hypotenuse by using either "sine" or "cosine".
Sine= Length of opposite side/ Hypotenuse
Cosine= Length of adjacent side/ Hypotenuse
In order to use one of these, it depends on which angle they give you other than 90 degrees.
Hope this helps!
Answer: 10
<u>Step-by-step explanation:</u>
varies directly means: 
Step 1: solve for k ⇒ 
Step 2: plug in the given value and k to solve for the missing value: 
42(5) = 21(x)
2(5) = x
10 = x
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.
