X + y = 20 --> eqn 1
The second equation would be the mass balance shown below:
(x)(0.40) + y(0.70) = 20(0.52) --> eqn 2
Rearranging eqn 1,x = 20 - ySubstitute this to eqn 2:
(20 - y)(0.40) + y(0.70) = 20(0.52)Solve for y,y = 8 grams Finally, solve for x.x = 20 - 8 = 12 grams
Therefore, Serena needs 12 grams of the 40% solution and 8 grams of the 70% solution.
The answer should be 16√5
Answer:
The point at (-7, -5) = a
The point at (9, 3) = b
The point at (-3, 7) = c
The "a" point of the triangle is 12 units away from the center point.
So, 12 x 1/4
=> 12/4
=> 3
So, the "a" point of the dilated figure is 3 units left from the center.
=> So, the dilated "a" point is at (2, -5)
The "b" point is 8/4 (= rise/run = y-axis / x-axis) from the center point.
=> 8/4 = 2
So, the "b" point of the dilated figure is 1 unit right and 2 units up from the center point.
=> So, the dilated "b" point is at (6, -3)
The "c" point is 12/8 units away from the center point.
=> 12/8 x 1/4
=> 3/2
So, the "c" point of the dilated figure is 3 units up and 2 units left from the center point.
=> So, the dilated "c" point is at (3, -2)
Heya!
Your question states: Solve for x in simplest form 15 = 1/3(x+9)
Answer: X = 36
<em>Numerical Explanation:</em>
1. Step by step
I. 15 = 1/3(x+9)
2. Simplify both sides of the equation:
II. 15 = 1/3x + 3
3. Flip the equation:
III. 1/3x + 3 = 15
4. Subtract 3 from both sides:
IV. 1/3 x +3 = 15
-3 -3
5. Multiply both sides by 3:
V. 3 * (1/3 x) = (3) * (12)
6. Final answer:
VI. x = 36
I Hoped I Helped!
~KINGJUPITER
Divide them both by 6
So it should be : 3/4
