175 mL at 25% concentration of alcohol contains 0.25 (175 mL) = 43.75 mL of alcohol. If <em>v</em> is the amount of the 70% solution that you use, then that amount contains 0.7<em>v</em> mL of alcohol.
Mixing these two yields a total volume of 175 mL + <em>v</em>, and it contains 43.75 mL + 0.7<em>v</em> alcohol. You want to end up with a concentration of 45%, which means the ratio of the amount of alcohol to the total volume needs to be 0.45:
(43.75 mL + 0.7<em>v</em>) / (175 mL + <em>v</em>) = 0.45
Solve for <em>v</em> :
43.75 mL + 0.7<em>v</em> = 0.45 (175 mL + <em>v</em>)
43.75 mL + 0.7<em>v</em> = 78.75 mL + 0.45<em>v</em>
0.25<em>v</em> = 35 mL
<em>v</em> = 140 mL
An irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. <u>Instead, the numbers in the decimal would go on forever, without repeating. Ex) .7583947262......... It doesn't repeat and goes on forever</u>
Answer:
The volume of the figure is 20,925.0mm^3.
Step-by-step explanation:
Firstly we know that the Diameter = 14mm and Height = 136mm.
Area of Circle = 3.14xR^2 Radius = Diameter / 2
Area of Circle = 3.14x7mm^2 = 153.86mm
Volume = 153.86 x 136 = 20,924.96
Then round, to get 20,925.0
Let me know if this is helpful
