Answer: 18 pine trees / 12 elm trees
Step-by-step explanation:
To meet the requirement of at least 16 but no more than 30 trees with a 3:2 ratio of elm to pine trees, we can choose:
Elm Trees: 3x
Pine Trees: 2x
Where x is a positive integer. To stay within the given constraints:
3x + 2x ≥ 16 (at least 16 trees)
5x ≥ 16
x ≥ 16/5
x ≥ 3.2
We need to find the largest integer value for x while staying below 30 (no more than 30 trees). Since x must be an integer, the largest valid value for x is 6 (as 7 would exceed 30).
So, for the example:
Elm Trees = 3x = 3 * 6 = 18
Pine Trees = 2x = 2 * 6 = 12
In this case, there would be 18 elm trees and 12 pine trees, totaling 30 trees, which falls within the range of at least 16 but no more than 30 trees and maintains the 3:2 ratio of elm to pine trees.
(3.8) and (7,5)
Answer:
Lineal.
Step-by-step explanation:
To determine if the sequence 4,10,20,34,52 ....... is a linear model, a quadratic model or a cubic model, the following mathematical logical reasoning must be carried out:
4 to 10 = +6
10 to 20 = +10
20 to 34 = +14
34 to 52 = +18
Thus, we can see at a glance that the sequence increases 4 numbers in each digit, adding first 6, then 10, then 14 and so on, with which the next numbers in that sequence should be 74 (+22), 100 ( +26), 130 (+30), 164 (+34), and so on.
Therefore, since there is no quadratic or cubic relationship, the sequence is linear.
12 inches
18 inches
36 inches
Answer:
Its 9 just so you know