Answer:
Charlie should use a stopwatch with minutes and seconds
Step-by-step explanation:
charlie should not count in his head as it is not accurate, he could count too fast or slow
Charlie should not look at that clock and the seconds will affect the 25 minutes, whether it be less or more
Charlie should not use an hourglass as he might flip it over too soon or quick and it's not very accurate
therefore using the stopwatch allows him to accurately and fairly keep track of the exact time
Answer:
Total 25.45 hours will be taken to empty the pool.
Step-by-step explanation:
Time taken by large pumpkin to empty the pool=40 hours
Time taken by the smaller pumpkins to empty the pool=70 hours
Amount of pool emptied by large pumpkin in one hour=![\frac{1}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B40%7D)
Amount of pool emptied by small pumpkin in one hour=![\frac{1}{70}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B70%7D)
Amount of pool emptied in one hour if both pumpkins work together=
+ ![\frac{1}{70}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B70%7D)
=![\frac{11}{280}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B280%7D)
Therefore, the no. of days will be the reciprocal of the amount of work done in one hour ie . ![\frac{280}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B280%7D%7B11%7D)
Total 25.45 hours will be taken to empty the pool.
Say he mows 1 lawn every day, per week. He'd spend a total of $10.50 on gas and $7 for an advertisement for that week. Which would equal his total profit being $52.50 per week is his business.
Answer:
(9, 0)
Step-by-step explanation:
Maximum or minimum value occurs at the Corner. The points given are (0, 8), (5, 4) and (9, 0).
Substitute (0, 8) in the objective function.
We get P = 3(0) + 2(8) = 16
Now for (x , y) = (5, 4)
P = 3(5) + 2(4) = 15 + 8 = 23
At (9, 0) we get P = 3(9) + 2(0) = 27.
Clearly, we have the maximum value at (9, 0).
And the maximum value is 27.
Answer:
6x - 4
Step-by-step explanation:
f(x) + g(x)
= 4x + 8 + 2x - 12 ← collect liketerms
= 6x - 4