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8090 [49]
3 years ago
15

What is the value of [-12]

Mathematics
1 answer:
algol133 years ago
7 0

Answer:

12.

Step-by-step explanation:


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1. A movie theater designs two bags to hold 96 cubic inches of popcorn. a. Find the height of each bag b. Which bag should the t
MrRissso [65]
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 in
Bag 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 in

Part (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 in²
Bag 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 in²
From 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 :)



6 0
3 years ago
Mr. Hong brought his 7 year-old daughter, Jin and his 10 year-old son, Cai, to Redwood Amusement Park. An Admission ticket coste
kompoz [17]
$20.25 because 8.50 and 8.50 equal 17 and then subtract 2.00 makes 15, and then add 5.25 and you end up with 20.25
4 0
3 years ago
deShawn bought 10 shirts for a total of $95 tee shirts cost $8 and long sleeve shirts cost $11 how many of each type of shirts d
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Answer:

5 long sleeve, 5 tee shirtd.

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3 years ago
Please help a girl outtttt
jeyben [28]

Answer:

bottom of graph will move from (0,0) to point (1,3) after transformation

Step-by-step explanation:

given

original : f(x) = x^{2}

transformed; g(x) = (x-1)^{2} + 3

look at this way g(x) =  (x-h)^{2} + k

if (x-h), h>0, move h units to the right

if k>0, move k units up

the bottom of the graph will be at point (1,3)

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3 years ago
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