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Blababa [14]
3 years ago
13

Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy

bought 12 notebooks and 4 thumb drives for $100. Lisa bought 3 notebooks and 15 thumb drives for $249. Find the cost of each notebook and each thumb drive.
Mathematics
1 answer:
Musya8 [376]3 years ago
5 0

Sarah,

Let x = cost of notebook

let y = cost of thumbdrive

For Troy   5x + 5y = 75

For Lisa    2x + 6y = 78

Troy's equation let's divide it by 5 and get

x+ y = 15     multiply by -2

-2x -2y  = -30

2x + 6y = 78    Add equations

      4y = 48

Solve for y.  Then plug it in one of the original equations and solve for x.  Check by plugging into the other original equations

Step-by-step explanation:

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NeX [460]

Answer:

N(T(t))=432t^2-374.4t-118.88

The number of Bactria after 5.8 hours is 12242.

Step-by-step explanation:

The number of bacteria in a refrigerated food product is given by

N(T)=27T^2-180T+100

where, T is the temperature of the food.

When the food is removed from the refrigerator, then the temperature is given by

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We need to find the composite function N(T(t)).

N(T(t))=N(4t+1.6)

N(T(t))=27(4t+1.6)^2-180(4t+1.6)+100

N(T(t))=432t^2+345.6t+69.12-720t-288+100

N(T(t))=432t^2-374.4t-118.88

where N(T(t)) is the number of bacteria after t hours.

Substitute t=5.8 in the above function.

N(T(5.8))=432(5.8)^2-374.4(5.8)-118.88

N(T(5.8))=14532.48-2290.4

N(T(5.8))=12242.08

N(T(5.8))\approx 12242

Therefore, the number of Bactria after 5.8 hours is 12242.

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