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uranmaximum [27]
3 years ago
12

It cost $350 to carpet an 8‘ x 10‘ room. At this rate how many dollars would it cost to put the same carpeting in a 24‘ x 30‘ ro

om
Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0

Answer:

$1050

Step-by-step explanation:

The total area of the second space is three times the first one, thus the price increases to triple the amount.

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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
The perimeter of a circle is 132 cm calculate its radius and area ​
son4ous [18]

Answer:

r≈21.01cm

Step-by-step explanation:

I think that's the exact answer

4 0
2 years ago
19(-16)<br> helpppppppppppppppp
Anna71 [15]
The answer to your question is -304
8 0
3 years ago
£6000 is divided between Adam, Ben and<br> Chris in the ratio 1:3:4. How much does Ben receive?
Gala2k [10]

Answer:

Chris gets £3000

Step-by-step explanation:

A : B : C

1 : 3 : 4 = 8 (add all the parts together)

£6000 ÷ 8 = 750

so the multiplier is x 750

1 : 3 : 4

↩ x 750

750 : 2250 : 3000

Chris gets £3000

3 0
2 years ago
5
worty [1.4K]

Answer: to find the mean add up all the scores and then divide it by the number of scores that are there and to find the mode order the numbers lowest to highest and see which number appears the most

5 0
3 years ago
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