6d -11/2 = 2d -13/2
Subtract 2d from both sides
6d -11/2 - 2d = 2d -13/2 - 2d
Simplifying
4d -11/2 = -13/2
Add 11/2 to both sides
4d -11/2 + 11/2 = -13/2 + 11/2
Simplifying
4d = -2/2
4d = -1
Divide both sides by 4
4d/4 = -1/4
Simplifying
d = - 1/4
Answer: Amount of 35% solution required = 100 milliliters
Amount of 87% solution required = 30 milliliters
Step-by-step explanation:
Given: Total solution required = 130 milliliters
Let x = Amount of 35% solution (in milliliters).
Then, Amount of 87% solution required = 130 - x
As per given,
Concentration = 0.35x +0.87(130-x)=0.47(130)
Hence, Amount of 35% solution required = 100 milliliters
Amount of 87% solution required = 130-100 milliliters =30 milliliters
A graphing calculator can do a linear regression on these points very easily. The y-intercept is 107.
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If you want to do this by hand, you can use the 2-point form of the equation for a line, then evaluate for x=0.
.. y = (100 -102)/(35 -25)*(x -25) +102
.. y =-2/10*(0 -25) +102
.. y = 107
Answer: about 14pi inches
Explanation:
7 * 6.28319 = 43.9823
43.9823 / 3.14159 = 14.0000127324
A1 = 0.91
a6 = -0.14
sum = (0.91+-0.14) /2
sum = 2.31