Answer:
<u>The correct answer is A. 1/216</u>
Step-by-step explanation:
Let's simplify the expression:
6^1/3 divided 6^10/3
6^1/3 = ∛ 6 and 6^10/3 = ∛ 6¹⁰, therefore:
∛ 6 / ∛ 6¹⁰
∛ 6 * 1/∛ 6¹⁰ (Flipping the reciprocal)
∛ 6 * 1/(∛ 6 * ∛ 6⁹)
1/∛ 6⁹ (Cancelling down ∛ 6 in the numerator and denominator)
1/6³ = 1/6 * 6 * 6 = 1/216
<u>The correct answer is A. 1/216</u>
Answer:
5 x + 3 = 23
Step-by-step explanation:
Answer:
Step-by-step explanation:
The better buy is the one where you get more area of pizza per dollar (area/price).
Since the problem gives diameter, we assume the pizzas are circle-shaped.
Circle Area = pi x (radius)², and radius r = 1/2 of diameter d.
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Pizza 1: d = 8 and price is $10
r = 1/2 x d = 4
Area of Pizza 1 = πr² = π(4)² = 16π
*** area/price for Pizza 1 = 16π/$10 = 1.6π area per dollar
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Pizza 2: d = 14 and price is $16
r = 1/2 x d = 7
Area of Pizza 2 = πr² = π(7)² = 49π
*** area/price for Pizza 2 = 49π/16 = 3.0625π area per dollar
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Pizza 2 is the better buy, with more pizza per dollar.