Hey, Melany. To answer this problem, simply set up a proportion: . Now let's solve for x.
- Cross multiply:
- Isolate x:
This means that x = 24.
There are 24 9th graders in the band.
So hmm check the picture below
using the 30-60-90 rule, we get that much.. .bear in mind, an equilateral triangle has all equal sides, and therefore, all equal angles, so each angle is 60°, run a median through it from the center, and you split it in half
Ggggggyrftgtgggfcxfdfftytyyggyyy
As y varies directly with x, there is a proportionality constant. As x increases by that certain constant, y also increases. We equate:
y = kx
where k = proportionality constant.
Given the condition, y = 5 when x = 4, then we solve for k:
5 = k(4)
k = 5/4 or 1.25
When y = 8, then
8 = (5/4)(x)
x = 8/(5/4) = (8)(4/5) = 32/5 or 6.4 (ANSWER)