You can write three equations in the numbers of nickels (n), dime (d), and quarters (q).
n + d + q = 23 . . . . . . . there are 23 coins total
0n +d -q = 2 . . . . . . . . .there are 2 more dimes than quarters
5n +10d +25q = 250 . .the total value is $2.50
The collection includes 11 nickels, 7 dimes, and 5 quarters.
_____
I used the matrix function of my calculator to solve these equations. You can find q by subtracting from the last equation five times the sum of the first two equations.
(5n +10d +25q) -5((n +d +q) +(d -q)) = (250) -5(23 +2)
25q = 125 . . . . . . . simplify
q = 5
From the second equation,
d = q +2 = 7
And from the first,
n = 23 -5 -7 = 11
<span>a)
Acceleration of stone = 10
Integrate:
So velocity = 10t
Integrate again:
So distance from starting point = 5t^2
Distance from ground = 450-5t^2
b)
450 - 5t^2 = 0
9.48 seconds
c) velocity = 10t
Put the time into this to give:
94.8 m/s
d.
Velocity = 10t + 5
Integrate again:
5t^2 + 5t
Solve
5t^2 + 5t = 450
Gives 9 seconds</span>
5 . 3n<br><br>
A. 15,30,45,60<br>
B.5,15,45,135<br>
C.0,15,45,135<br>
D.15,45,135,405
TiliK225 [7]
Answer:
3n
Step-by-step explanation:
Answer:
Step-by-step explanation:
Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...
We know from the given points that we can write the equation as ...
Comparing this to the desired form, we see that ...
So, the approximate equation for P is ...
And the parameters of interest are ...
Answer:
The answer is 18,700
Step-by-step explanation:
if you add 9,500+ 9,000 you get 18,500 add 200 and your answer is 18,700
