Answer:
3500 ft
Step-by-step explanation:
We assume you intend the equations to be ...

Then we can solve the second equation for t and use that in the first equation. We can solve the first equation for y=6000.
x = 113t
t = x/113
y(t) = y(x/113) = -16(x/113)² +425(x/113) +8200 = 6000
(16/12769)x² -(425/113)x -2200 = 0 . . . . . . subtract 6000, multiply by -1
Using the quadratic formula, the positive solution is ...
x = ((425/113) +√((-425/113)² -4(16/12769)(-2200))/(2(16/12769))
The fraction in the denominator can be inverted and used as a multiplier. We also use a√b = √(a²b) to simplify the radical.
x = (48025 +√4104275825)/32
x ≈ 3502.8
Rock was thrown about 3500 feet horizontally.
Answer:

Step-by-step explanation:
we have

step 1
Divide by -5 both sides

step 2
Apply log both sides
![log[10^{x}]=log[31/5]](https://tex.z-dn.net/?f=log%5B10%5E%7Bx%7D%5D%3Dlog%5B31%2F5%5D)
step 3
Applying Property of logarithms
Remember that

so
![xlog[10]=log[31/5]](https://tex.z-dn.net/?f=xlog%5B10%5D%3Dlog%5B31%2F5%5D)
Remember that

substitute
![x=log[31/5]](https://tex.z-dn.net/?f=x%3Dlog%5B31%2F5%5D)


We let x = Kim's amount
y = Laura's amount
z = Molly's amount
We have three unknowns and it should be that we have three equations to set up to be able to solve this.
x + y + z = 385 (1)
z - x = 105 (2)
2/5 = x/z (3)
Solving simultaneously, we can get the values as follows:
x = 70
z = 175
y = 140
Therefore, the percentage that Laura got was 36.4% of the whole money. Hope this answers the question.
Answer:
C =66
Step-by-step explanation:
(a) |-9| + 6 = 9 + 6 = 15
(b) |-9 + 6| = |-3| = 3