One solution!
Step-by-step explanation:
If we make a graph of the given equations, the lines will intersect at a point. We know that whenever lines intersect, it means the equations have one solution or a unique solution.
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.
Your answer is D 6561 multiply each number 3 and your answer will be this
Answer:
I didn't even realize until I had written all of the answers down that they are all <u><em>C.</em></u>
37 = C. <u>15%</u>
38 = C. <u>2
</u>
39 = C. <u>48</u>
Step-by-step explanation:
37: I used process of elimination to figure out which percentage of decrease it was by just multiplying 42 by each percentage until I got 6.3 which is what you need to subtract from 42 to get 35.7, so the answer is C, or 15%.
38: A coefficient is the number that is being multiplied by the variable, which in this case is "x". So whatever answer involves "2x" is the correct answer. Therefore the answer is C, or <u>2.</u>
39: You have to add the amount of money Henry paid for painting supplies and how much profit he mad to figure out how much money he really made. 400 + 560 = 960 and he charges $20 for each painting so you need to divide 960/20 to get your answer, which is C, or 48.
Answer: 9.73 lb each chair
Step-by-step explanation:
You substract the weight of the table alone from the full weight:
235.68 - 157.84=77.84
Then you divide 77.84 by 8 chairs and you obtain the weight of each individual chair
77.84/8= 9.73 the weight of each individual chair
