I have attached a screenshot with the images of the two popcorn bags used by the theater.
Part (a):Bag A:Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 3 in
width = 4 in
Therefore:
96 = 3 * 4 * height
96 = 12 * height
height of bag A = 8 inBag B:Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 4 in
width = 4 in
Therefore:
96 = 4 * 4 * height
96 = 16 * height
height of bag B = 6 inPart (b):To determine the amount of paper needed, we will need to calculate the surface of each bag. Excluding the top base, each bag will have 5 faces. Four side faces (each two opposite are equal) and the base.
Bag A:Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (3*4) + 2(8*4) + 2(8*3)
Surface area = 12 + 64 + 48
Surface area of bag A = 124 in²Bag B:Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (4*4) + 2(6*4) + 2(6*4)
Surface area = 16 + 48 + 48
Surface area of bag B = 112 in²From the above calculations, we can deduce that
the theater should choose bag B in order to reduce the amount of paper needed.
Hope this helps :)
Its A or 6 because 30 divided by 5 is 6
Answer:
69 or 71, read below for details.
Step-by-step explanation:
This is unfinished, but I'll answer to my best ability.
200 seniors graduated
99 in band
30 students in art were NOT in band.
I assume the question here is either how many students were in band and art, which would be 69 as 99 - 30 = 69.
If the question is how many students didn't take any electives, the answer is 200 - 99 - 30 = 71.
Message me if you have any questions/clarifications.
Answer: $1,907.63
Explanation:
It is stated in the problem that the brokerage fee is $450 plus 1.15% (meaning 1.15% of $126,750). Hence the brokerage fee is computed as follows
(Brokerage fee) = $450 + (1.15% of $126,750)
= $450 + (0.0115)($126,750)
= $450 + $1,457.625
= $1,907.625
Since there is no half cents today, we round-off the brokerage fee to the nearest cent. Hence the brokerage fee is $1,907.63.
Note: In the computation of brokerage fee, we need to change 1.15% to decimal.
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