Answer:
d + n = 147
0.10d + 0.05n = 11.65
d = 86, n = 61
Step-by-step explanation:
Let
Number of dimes = d
Number of nickels = n
Total coins = 147
Total value = $11.65
d + n = 147 (1)
0.10d + 0.05n = 11.65 (2)
From (1)
d = 147 - n
Substitute d = 147 - n into
0.10d + 0.05n = 11.65
0.10(147 - n) + 0.05n = 11.65
14.7 - 0.10n + 0.05n = 11.65
- 0.10n + 0.05n = 11.65 - 14.7
-0.05n = -3.05
n = -3.05 / -0.05
= 61
n = 61
Substitute n = 61 into
d + n = 147
d + 61 = 147
d = 147 - 61
d = 86
Answer:
A) 10.38hours
B) 617.95 is the concerntration of CO
Step-by-step explanation:
A) when x=600
T= 0.0002x^2 - 0.316x + 127.9
T= 0.0002(600)^2 -0.316(600) + 127.9
T= 10.38secs
B) to find the concerntration, use Almighty formular
X=-b+-sqrt(b^2-4ac)/2a
0.0002x^2-0.316x-127.9=9
0.0002x^2 - 0.316x + 118.9=0
X= 0.316 +- sqrt(0.316^2) -4(0.0002×118.9)/(2×0.0002)
X= 0.316+(0.68817/0.0004)=962.05 or
X=-0.316 -0.68817/0.0004 =617.95
Therefore X is within the domain of 617.95 is the concerntration
Answer:
<h2>The answer is - 1</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question the equation of the line is
y = - x
Comparing with the general equation of the line
The slope of the line is - 1
Hope this helps you
I would compute sqrt(1 + 160pi^2) first to get approximately 39.75093337
Add this to 1 and we have 40.75093337
Then divide over 2pi to get a final approximate result of 6.48571248
So x = 6.48571248 is one approximate solution
In short, I computed 
only focusing on the plus for now.
----------------------
If you were to compute 
you should get roughly -6.167402596 as your other solution. Each solution can then be plugged into the original equation to check if you get 0 or not. You likely won't land exactly on 0 but you'll get close enough.
X + Y + Z = 8
2x = Z - 2
X + Z = 5
X = 1
1 + Y + Z = 8
Y + Z = 6
1 + Z = 5
Z = 4
1 + Y + 4 = 8
5 + Y = 8
Y = 3
The variables are 1, 3, 4.
