Let x=amount of 50% solution and y=amount of 80% solution.
x+y=600 gallons; amount of pure acid in the mixture has to be 72% of 600=432 gallons.
So 0.5x+0.8y=432; but y=600-x so 0.5x+0.8(600-x)=432, 0.5x+480-0.8x=432.
480-432=0.3x, 48=0.3x so x=160 so y=600-160=440 gallons.
160 gallons of 50% and 440 gallons of 80%.
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
tan x =
, sin²x + cos²x = 1
Consider the left side

=
← multiply numerator/ denominator of the whole fraction by cos²x
= 
= 
= cos²x - sin²x
= cos²x - (1 - cos²x)
= cos²x - 1 + cos²x
= 2cos²x - 1
= right side , thus proven
To find the missing value of the equation 3-X=11 first move all the terms that have X to the right side of the equation. So -X=8( Since 11-3=8). Then divide both sides of the equation by -1 to get rid of the negative on the X. Your answer is X=-8.
Answer:
265
Step-by-step explanation:
The computation of the amount that should be make out together is shown below:
Let us assume the number of hours be x
And, the total money earned be y
Now the equation would be
y = 6x + 43
= 6(37) + 43
= 265
Answer:
76
Step-by-step explanation:
66-(-10)
66- -10
simple