Equations
Let the number of liters of 80% acid = x
Let the number of liters of 40% acid = y
x + y = 2
80%x + 40%y = 65% * 2
Step One
multiply the 2nd given by 100
(80/100)x + (40/100)y = (65/100)*2
80x + 40y = 2*65 = 130 (3)
Step Two
Multiply the first given equation by 80
80x + 80y = 160 (4)
Step Three
Subtract (4) - (3)
80x + 80y = 160
<u>80x + 40y = 130</u>
40y = 30 Divide by 40
y = 30/40
y = 3/4 = 0.75
What you have found is that out of 2 liters, 0.75 L must be the 40% acid.
Step Four
Find the 80% volume
x + y = 2
y = 0.75 L
x + 0.75 = 2
x = 2 - 0.75
x = 1.25 L
Answers
80% Volume = 1.25 L
40% Volume = 0.75 L
Answer:
14.32 inches to nearest thousandth.
Step-by-step explanation:
Circumference = π * d where d = the diameter.
So 45 = π * d
d = 45 / π
= 14.32 inches
Answer:
46
Step-by-step explanation:
All I did was add all the numbers and got the answer as 460 you count all the number to get that . Then you divide 460 and 10 to get 46 and then 46 is your answer. Happy to help.
Answer:
Step-by-step explanation:
if t varies inversely proportional as r, then,
t ∞ 1/r
t = k.1/r
t = k/r
substitute t =6 and r = 5 into the equation above
6 = k/5
k = 5 x 6 = 30
the equation that represents this variation is given by,
t =30/r
tr = 30
when r =15,
t = 30/15
t =2
