Let's call the two numbers x and y. We can write a system of equations to describe the situation:
5x = 8y
x - y = 150
Let's solve the first equation for x:
x = 8y/5
Now we can use substitution to solve the system by plugging 8y/5 in for x in the second equation:
(8y/5) - y = 150
Simplify:
3y/5 = 150
3y = 750
y = 250
If y = 250, then x is:
x = 8(250)/5 = 400
The answer is 250 and 400.
we know that
1) Lily swims a 
-meter race
2) She swims the first half in 
seconds
3) She swims the second half in 
seconds
so
To find the total time to swim the whole race sum the time in the first half plus the time in second half
therefore
<u>the answer is</u>
It will be secx = 2
or, cosx = 1/2
or x = Π/3 , 5Π/3
Answer:
x=16
Step-by-step explanation:
....,...................
To answer this item, we take the differential of the equation and equate to zero.
C(x) = 0.8x² - 256x + 25939
Differentiation,
dC(x) = 1.6x - 256
dC(x) = 1.6x - 256 = 0
The value of x from the derived equation above is 160.
Thus, the number of machine to be made in order to minimize the cost should be 160.
