Answer:
Step-by-step explanation:
To solve this problem you need the function
h(t) = -16t2 + v0t + h0
where t = time
v0 is the initial velocity, which in our case is 0
h0 = initial height, which in our case is 256
h(t) = 0 since we want to know when the ball will hit the ground.
0 = -16 t2 + 256
And we can solve for t
If we rearrange the terms we see that this is a difference of 2 squares
0 = 256 - 16t2
0 = (16-4t)(16+4t)
Setting each factor = 0
16-4t=0 16+4t=4
t = 4 t = -4
The second solution is discarded as time cannot be negative.
So the ball will hit the ground in 4 seconds.
Answer:
24x = 8*60
24x = 480
x = 20
Step-by-step explanation:
x = number of adult tickets
y = number of children tickets
9x + 6y = 1053
x+y = 127 so x = 127 - y
replace x = 127 - y into 9x + 6y = 1053
9(127 - y) + 6y = 1053
1143 -9y + 6y = 1053
-3y = 1053 -1143
-3y = -90
y = 30
x = 127 - 30
x = 97
answer: 97 adults and 30 children
Let x be white marbles, y be yellow marbles
x+y=54…(1)
x=3y - 6 …(2)
put (2) into (1)
(3y - 6) + y = 54
4y = 60
y=15
put y=15 into (1)
x + 15=54
x=39
so y=15 x=39
Answer:
340
Step-by-step explanation:
We can see in the sample that 18/50 people bring lunches to school. If we divide 18 by 50 we get 0.36 now we know that 36% of people bring their lunches in the sample. Now we take that number and multiply it by 942.
0.36*942= 339.12 which we can round to 340
