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 :)
Answer:
-22
Step-by-step explanation:
4 + 9 + (16 ÷ 4 - 8 - 3) × 5
= 13 + (4 - 8 - 3) × 5
= 13 - 7 × 5
= 13 - 35
= -22
Answer:

<h3>
<em><u>x=3 or x=-10</u></em> is the right answer.</h3>
Answer:
See below ↓
Step-by-step explanation:
14.
- Between two lines m ║ n, the ∦ cuts through them forming two angles
- As it forms a line, the sum of the angles is 180°
- 3x + 47 + x + 7 = 180
- 4x + 54 = 180
- 4x = 126
- x = 126/4 = 63/2 = 31.5
15.
- Alternate exterior angles on a transversal are equal
- 5x = 2x + 78
- 3x = 78
- x = 26