You are planning to make and sell three different sizes if cylindrical candles. You buy 1 cubic foot of candle wax for $20 to make 8 candles of each size. a.)design the candles. What are the dimensions of each size of candle?
b) You want to make a profit of $100. Decide on a price for each size of candle.
c) Did you set the prices so that they are proportional to the volume of each size of candle? Why or why not?
Answers
Answer 1
Answer:
a.) Since there are no restrictions as to the dimensions of the candle except that their volumes must equal 1 cubic foot and that each must be a cylinder, we have the freedom to decide the candles' dimensions.
I decided to have the candles equal in volume. So, 1 cubic foot divided by 8 gives us 0.125 cubic foot, 216 in cubic inches.
With each candle having a volume of 216 cubic inches, I assign a radius to each: 0.5 in, 1.0 in, 1.5 in, 2.0 in, 2.5 in, 3.0 in, 3.5 in, and 4.0 in. Then, using the formula of the volume of a cylinder, which is:
V=pi(r^2)(h)
we then solve the corresponding height per candle. Let us let the value of pi be 3.14.
Hence, we will have the following heights (expressed to the nearest hundredths) for each of the radius: for
r=2.5 in: h=11.01 in r=3.0 in: h= 7.64 in r=3.5 in: h= 5.62 in r=4.0 in: h= 4.30 in r=4.5 in: h= 3.40 in r=5.0 in: h= 2.75 in r=5.5 in: h= 2.27 in r=6.0 in: h= 1.91 in
b. each candle should sell for $15.00 each
($20+$100)/8=$15.00
c. yes, because the candles are priced according to the volume of wax used to make them, which in this case, is just the same for all sizes
last year a state university received 3,560 application from boys of those application 35% were boys who lived in other states how many applications did the university receive from boys who lived in other states
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3560 * 35/100 3560 * 0.35 = 1246 students lived in other states
Pleaaaaase help.me quickly
Answers
-9.25 i believe cuz 90-16=74 and 74/-8 = -9.25
A coin is tossed and a number cube labelled 1 to 6 is rolled. How many equally likely outcomes are there? PLZZZZ HELP MEEE!!!!! AND EXPLAIN PLZ
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Twelve outcomes, six for each coin side.
A 9 kg bag of mangoes for $12 what is it per kg
Answers
you can divide 12 dollars by 9 kg to get 1.33 dollars per Kg
12 : 9 = 1.33333333333333
give an example of addition problem in which you would and would not group the addends differently to add
Answers
In a problem like 1+1+1, I would not group the addends differently. This is because, no matter which way you place the ones, you will always be adding 1+1+1.
In a problem like 3+5+7, I would group the addends differently (3+7+5). This is because, in the first problem you would first add together 3+5 to get 8, and then you would add 8+7 to get 15. However, if you were to add 3+7 first, you would get 10. 10+5 is much easier to add than 8+7.
An example of a problem where I would not group the addends differently is:
3+2+4.
An example of a problem where I would group the addends differently is:
2+5+8.
Explanation:
In the first problem, I would not group the addends differently before adding. This is because I cannot make 5 or 10 out of any of the numbers. We group addends together to make "easier" numbers for us to add, such as 5 and 10. If we cannot do that, there is no reason to regroup the addends.
In the second problem, I would regroup like this: 2+8+5
This is because 2+8=10, which makes the problem "easier" for us to add. Since we can get a number like this that shortens the process, we can regroup the addends.
Write the quadratic equation y=x squared -6x+7 in vertex form