Answer: 100mL
Step-by-step explanation:
A 15% alcohol solution contains 15mL alcohol in 100mL solution
In 400ml there will be 400mL·15/100 = 6,000mL/100 = 60mL alcohol
Let the volume of pure alcohol to be added V.
In the new solution there will be (60 + V)mL alcohol
And the total volume will be (400 + V)mL
Concentration required 32% = 0.32
Concentration = (60 + V)mL/(400 + V)mL = 0.32
60mL + VmL = 0.32(400 + V)mL
60mL + VmL = 128mL + V·*0.32mL
VmL - V·0.32mL = 128mL - 60mL = 68mL
V(1 - 0.32)mL = 68mL
V·0.68mL = 68mL
VmL = 68mL/0.68 = 100mL ► alcohol volume to be added
Answer : 100mL
Verification
New solution
There will be 400mL + 100mL = 500mL total volume
There will be 60mL alcohol + 100mL alcohol = 160mL alcohol
The concentration will be 160mL/500mL = 0.32 = 32%
Answer:
0.75 cup = 0.1763 liters
Step-by-step explanation:
From the question:
Using the conversion factors given in question
We are converting
0.75 cup to liters
Step 1
Convert cups to pint
1 cup = 0.5 pints
0.75 cup = x pints
x = 0.75 × 0.5 pints
x = 0.375 pints
Step 2
Convert pints to Quart
1 pints = 0.5 quart
0.375 pint = x quart
Cross Multiply
x quart = 0.375 × 0.5 quart
x quart = 0.1875 quart
Step 3
Convert from quart
1 quart = 0.94 liter
0.1875 quart = x liter
Cross Multiply
x liter = 0.1875 × 0.94 liter
x liter = 0.17625 liters
Approximately to 4 significant figures= 0.75 cup = 0.1763 liters
Answer:
a=25
Step-by-step explanation:
a-15+4=14
a-15=14-4
a-15=10
a=10+15
a=25
Answer:
x= 1, -1, (1/2)
Step-by-step explanation:
1. set the function equal to zero and then solve for x