?? I don’t really get it, what should I do.
Figure A: 5•3=15
Figure B: 3•6=18
Figure C: 4•4=16
Figure D: 4•3=12
Figure B has the largest perimeter
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x=10,−1
Answer:
9.1 minutes.
Step-by-step explanation:
Let t represent time taken to fill the tank.
We have been given that a cold water faucet can fill a sink in 12 min, so the part of sink filed in 1 minute would be 
.
The hot-water faucet can fill it in 15 min, so the part of sink filed in 1 minute would be 
.
The drain can empty the sink in 25 min, so the part of drain emptied in 1 minute would be 
.
The part of 1 full tank filled in t minutes, when both faucets are on and the drain is open would be:
Make a common denominator:
Therefore, it will take 9.1 minutes to fill the sink.
Let's begin by listing the first few multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 38, 40, 44. So, between 1 and 37 there are 9 such multiples: {4, 8, 12, 16, 20, 24, 28, 32, 36}. Note that 4 divided into 36 is 9.
Let's experiment by modifying the given problem a bit, for the purpose of discovering any pattern that may exist:
<span>How many multiples of 4 are there in {n; 37< n <101}? We could list and then count them: {40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100}; there are 16 such multiples in that particular interval. Try subtracting 40 from 100; we get 60. Dividing 60 by 4, we get 15, which is 1 less than 16. So it seems that if we subtract 40 from 1000 and divide the result by 4, and then add 1, we get the number of multiples of 4 between 37 and 1001:
1000
-40
-------
960
Dividing this by 4, we get 240. Adding 1, we get 241.
Finally, subtract 9 from 241: We get 232.
There are 232 multiples of 4 between 37 and 1001.
Can you think of a more straightforward method of determining this number? </span>
