So, there are 48 states, let's divide them into 16 groups (because 7+9=16)
48/16=3
so that means there are 16 groups of 3 states.
and those groups are in a ratio of 7:9, seven to 9 groups.
I assume that the 7 refers to the states that border an ocean, then the number of states will be 7*3=21
Answer: 75 students.
Step-by-step explanation:
In the data set we have a total of 10 + 8 + 7 + 5 = 30 students.
of those, 10 want to go to the park, the percentage is:
(10/30)*100% = 33.3%
Then, out of the 225, we can expect that a 33.3% (or 0.333 in decimal form) want to go to the park, this is:
N = 225*0.333% = 74.925
We can roud it up, and get N = 75
So Sally can expect that 75 students want to go to the park
Answer:


Step-by-step explanation:
Given


Required
Determine the values of x and RTV
Since, TV is a bisector, then
--- (1)
and
-- (2)
Substitute values of RTV and VTS in (2)

Collect Like Terms


Solve for x

Substitute 5 for x in 



Answer:
x₁ > x₂
Step-by-step explanation:
Both actions imply a parable trajectories, since both are projectile shot cases.
Let´s call x₁ maximum distance in the first case
The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.
In the second case, the parable curve is modeled by:
y = x₂*( 0.08 - 0.002x₂) or y = 0.08*x₂ - 0.002*x₂²
A second degree equation, solving for x₂ and dismissing the value x₂ = 0
we get:
y = 0 ⇒ x₂*( 0.08 - 0.002x₂) = 0 x₂ = 0
And 0,08 - 0.002*x₂ = 0
- 0.002*x₂ = - 0.08
x₂ = 0.08/0.002
x₂ = 40 f
Then x₁ > x₂