Answer:
i think the answer is 23
Step-by-step explanation:
well the equation says c=45+7n so the total cost is 206 . i subtracted 45 from 206 leaving me with 161 then i divided that by 7 leaving me with 23
9r=3r+6
Subtract 3r from both sides
6r=6
Divide both sides by 6
r=1
Answer:
9 people
Step-by-step explanation:
Start by writing an equation.
The total bill is 134.03. The bill is totally paid by Marcus and the other guests. This will go on the other side of the equation.
Since we don't know how many guests there were, we can use variable x to represent the value that we're trying to find.
So here is our equation.
134.04 = 20.45 + 12.62x
Now, just solve for x, or isolate x.
Subtract 20.45 from both sides.
134.04 - 20.45 = 12.62x
Divide both sides by 12.62.
113.59/12.62 = x
Simplify.
x = 9
Since x is 9, we know that there were 9 other people at the dinner party.
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.
