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
Answer:
3. 122.025
4. 469.2
Step-by-step explanation:
16.27/2 =8.135
8.135*15= 122.025
11.73 divided by 1/2= 23.46
23.46*20=469.2
Let's solve your equation step-by-step.<span><span><span><span><span><span><span>(4+5</span>+8</span>+p</span>+7</span>+6)/</span>6</span>=6</span>Step 1: Multiply both sides by 6.<span><span><span><span><span><span><span>(4+5</span>+8</span>+p</span>+7</span>+6)/</span>6</span>=6</span><span><span><span>(<span><span><span><span><span><span>4+5</span>+8</span>+p</span>+7</span>+6)/(</span>6</span>)</span>*<span>(6)</span></span>=<span><span>(6)</span>*<span>(6)</span></span></span><span><span><span><span><span><span>4+5</span>+8</span>+p</span>+7</span>+6</span>=36</span>Step 2: Simplify both sides of the equation.<span><span>p+30</span>=36</span>Step 3: Subtract 30 from both sides.<span><span><span>p+30</span>−30</span>=<span>36−30</span></span><span>p=6</span>Answer:<span>p=<span>6</span></span>
Answer:
The correct option is C. weight of sugar
So we can only measure Weight of Sugar.
Step-by-step explanation:
Balance Scale:
- It is a device for weighing.
- It has a balanced beam and two pans.
- When the pans contain exactly the same mass, the beam is in balance condition.
- You can place an object in one pan and standard weights in the other to find what the object weighs.
So we can only measure Weight of Sugar.