which of the following numbers is lowest or furthest to the left on the number line 48, 95, 21, 64, 53

Mathematics

2 answers:

kogti [31]2 years ago

5 0

Answer:

If none of them are negative I would say 21, since 21 is the lowest number.

Tamiku [17]2 years ago

3 0

Answer: I am not to sure but I believe that the correct answer is 21

Step-by-step explanation: I believe this is the correct answer because on the number line the numbers generally follow a sequenced order beginning with the lowest number and increasing towards larger numbers. The lowest number in this question is 21 and in the American systems we read left to right causing the number line to begin with the lowest number from the left and going to the right. The order would be 21, 48, 53, 64, 95.

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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 :)