Answer:
145
.8x = 116 (80% of class is 116)
x=145
Step-by-step explanation:
Answer:
<h3>A) 204m</h3><h3>B) 188m</h3>
Step-by-step explanation:
Given the rocket's height above the surface of the lake given by the function h(t) = -16t^2 + 96t + 60
The velocity of the rocket at its maximum height is zero
v = dh/dt = -32t + 96t
At the maximum height, v = 0
0 = -32t + 96t
32t = 96
t = 96/32
t = 3secs
Substitute t = 3 into the modeled function to get the maximum height
h(3) = -16(3)^2 + 96(3) + 60
h(3) = -16(9)+ 288 + 60
h(3) = -144+ 288 + 60
h(3) = 144 + 60
h(3) = 204
Hence the maximum height reached by the rocket is 204m
Get the height after 2 secs
h(t) = -16t^2 + 96t + 60
when t = 2
h(2) = -16(2)^2 + 96(2) + 60
h(2) = -64+ 192+ 60
h(2) = -4 + 192
h(2) = 188m
Hence the height of the rocket after 2 secs is 188m
The required intersection would be at the point (55, 460) in the given graph which shows a round of golf is 55 and a total cost is $460.
<h3>What is a graph?</h3>
A graph can be defined as a pictorial representation or a diagram that represents data or values.
We have been given that the graph represents the following situation.
Golfers must first pay a $75 membership fee and an additional $7 for each round of golf in order to play at Gulf Shores Range.
Golfers at the Royal Estates Country Club pay $5 for each game of golf, but membership costs $185.
Since the x-axis represents a round of golf and the y-axis represents a total cost.
According to the graph,
Here is a round of golf = 55 and a total cost = $460
So the intersection represents this situation at the point (55, 460).
Therefore, the required intersection would be at the point (55, 460) in the given graph.
Learn more about the graphs here:
brainly.com/question/16608196
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Answer:
337.5 and also 202.5
Step-by-step explanation:
do 8x = 540 since 5 and 3 are in a ratio... so you get 5x plus 3x. Then you solve for x and get 67.5..67.5 times 3 is 202.5 and 67.5 times 5 is 337.5.
