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a florist charges $300 x 10^{-1} per dozen carnations. if nadine purcha…

Question

a florist charges $300 x 10^{-1} per dozen carnations. if nadine purchases 6 x 10^{2} carnations, how much will she pay?
a. $5 x 10^{3}
c. $1.80 x 10^{3}
b. $1.50 x 10^{3}
d. $1.80 x 10^{4}

Explanation:

Step1: Calculate the number of dozens

Since 1 dozen = 12, the number of dozens in \(6\times10^{2}\) carnations is \(\frac{6\times 10^{2}}{12}=50 = 5\times10^{1}\)

Step2: Calculate the total cost

The cost per dozen is \(300\times10^{-1}=30\). The total cost \(C=(300\times10^{-1})\times\frac{6\times 10^{2}}{12}\)

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Answer:

B. \(\$1.50\times 10^{3}\)