So, start by calculating how much acid you have in your starting solution
25
L solution
⋅
60 L acid
100
L solution
=
15 L acid
Let's say that
x
denotes the volume of pure acid that you must add to your starting solution. Since you're dealing with pure acid, the volume of acid will Increase by
x
V
acid
=
15
+
x
At the same time, the volume of the solution will also incrase by
x
V
sol
=
25
+
x
This means that the target solution's percent concetration by volume will be equal to
V
acid
V
soL
⋅
100
=
75
%
(
15
+
x
)
L
(
25
+
x
)
L
⋅
100
=
75
%
Solve this equation for
x
to get
(
15
+
x
)
⋅
100
=
(
25
+
x
)
⋅
75
1500
+
100
x
=
1875
+
75
x
25
x
=
375
⇒
x
=
375
25
=
15 L
So, if you add 15 L of pure acid to 25 L of 60% v/v acid solution, you'll get 40 L of 75% v/v acid solution.
Let n = number
2n + 42 = 126
2n = 84
n = 42
Your number is 42.
Answer:
Step-by-step explanation:
<u>Given</u>
<u>Cross multiply and solve for x:</u>
A) (x,y)->(4x,4y) because the x and y values are multiplied by 4 when dilated. Ex. U(-1,1) was dilated to U’(-4,4). -1 was multiplied by 4 to get -4 for the x value and 1 was multiplied by 4 to get 4 for the y value.
Hello :
<span>2y+4=3(2x-6)
2y+4 -4 =3(2x-6)-4
2y = 6x-18-4
2y =6x-22
y =(6x-22)/2
y= 3x-11</span>