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stich3 [128]
3 years ago
9

Ruben brought 2 large popcorn buckets and 4 small drins for 20. Lucia bought 2 large popcorn buckets and 2 small drinks for 14.W

hat was the cost of the large popcorn and the small drinks
Mathematics
1 answer:
sineoko [7]3 years ago
5 0

Answer:

Cost of large popcorn = 4

Cost of small drinks = 3

Step-by-step explanation:

Given that :

Let cost of large popcorn = x

Cost of small drinks = y

Cost of 2 large popcorn and 4 small drinks

2x + 4y = 20

2x + 2y = 14

x + 2y = 10 - - - (1)

x + y = 7 - - - (2)

Subtract :

2y - y = 10 - 7

y = 3

Substitute y = 3 into (2)

x + 3 = 7

x = 7 - 3

x = 4

Hence,

Cost of large popcorn = 4

Cost of small drinks = 3

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The amount of water that has entered the pool over these five minutes is 42.5 gallons.

Given the rate at which water enter the pool W(t). To calculate the amount of water that has entered the pool over these five minutes, we integrate W(t) over the interval t = 0 to t = 5.

Amount\ of \ water=\int\limits^0_5 {W(t)} \, dt \\\\\\Amount\ of \ water=\int\limits^0_5 {(1+3t)} \, dt \\\\\\Amount\ of \ water=[t+1.5t^2]_0^5\\\\\\Amount\ of \ water=42.5\ gallons

The amount of water that has entered the pool over these five minutes is 42.5 gallons.

Find out more on integration at: brainly.com/question/23976638

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