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Deux nombres sont dans le rapport 3:5 et leur somme est 48. Quel est le produit de ces deux nombres ?
Soient les nombres $3x$ et $5x$. Alors $3x + 5x = 48$, donc $8x = 48$, et $x = 6$.
La suite est $a_1 = 2$, $a_2 = 2$, $a_3 = 2 + 2 = 4$, $a_4 = 2 + 4 = 6$, $a_5 = 4 + 6 = 10$, $a_6 = 6 + 10 = 16$.
#### 12Question: A paleobotanist finds that the ratio of fossilized fern fronds to seed cones in a sediment layer is $5:3$. If there are 20 fern fronds, how many seed cones are present?
Solution: Let the number of seed cones be $x$. The ratio $5:3$ implies $
Question: A paleobotanist measures the heights of 5 ancient tree trunks as 14 cm, 18 cm, 22 cm, 16 cm, and 20 cm. What is the arithmetic mean of these heights?
Solution: Sum = $14 + 18 + 22 + 16 + 20 = 90$. Mean = $
Question: A paleobotanist wants to tile a $10 imes 10$ square fossil display with non-overlapping $2 imes 5$ rectangles. What is the smallest number of rectangles needed?
Solution: Area of display = $100$. Area of each rectangle = $10$. Number of rectangles = $
Question: The average of $4u + 1$, $2u + 5$, and $6u - 3$ is ...
