I cannot see the image no matter what I do
6 pints of 20% pure fruit juice and 24 pints of 45 % pure fruit juice is mixed to get 30 pints of mixture of 40 % pure fruit juice
<em><u>Solution:</u></em>
The final volume is 30 pints of mixture of 40 % pure fruit juice
Let "x" be the volume of 20 % pure fruit juice
Then, (30 - x) is the volume of 45 % pure fruit juice
Then, we can say,
"x" be the volume of 20 % pure fruit juice and (30 - x) is the volume of 45 % pure fruit juice is mixed to get 30 pints of mixture of 40 % pure fruit juice
<em><u>Therefore, we frame a equation as:</u></em>
![x \times 20 \% + (30-x) \times 45 \% = 30 \times 40 \%](https://tex.z-dn.net/?f=x%20%5Ctimes%2020%20%5C%25%20%2B%20%2830-x%29%20%5Ctimes%2045%20%5C%25%20%3D%2030%20%5Ctimes%2040%20%5C%25)
<em><u>Solve the above expression for "x"</u></em>
![x \times \frac{20}{100} + (30-x) \times \frac{45}{100} = 30 \times \frac{40}{100}\\\\0.2x+0.45(30-x) = 12\\\\0.2x + 13.5 - 0.45x = 12\\\\\text{Keep the variables in left side of equation and move constants to other side }\\\\0.2x - 0.45x = 12 - 13.5\\\\-0.25x = -1.5\\\\0.25x = 1.5\\\\\text{Divide both sides of equation by 0.25}\\\\x = 6](https://tex.z-dn.net/?f=x%20%5Ctimes%20%5Cfrac%7B20%7D%7B100%7D%20%2B%20%2830-x%29%20%5Ctimes%20%5Cfrac%7B45%7D%7B100%7D%20%3D%2030%20%5Ctimes%20%5Cfrac%7B40%7D%7B100%7D%5C%5C%5C%5C0.2x%2B0.45%2830-x%29%20%3D%2012%5C%5C%5C%5C0.2x%20%2B%2013.5%20-%200.45x%20%3D%2012%5C%5C%5C%5C%5Ctext%7BKeep%20the%20variables%20in%20left%20side%20of%20equation%20and%20move%20constants%20to%20other%20side%20%7D%5C%5C%5C%5C0.2x%20-%200.45x%20%3D%2012%20-%2013.5%5C%5C%5C%5C-0.25x%20%3D%20-1.5%5C%5C%5C%5C0.25x%20%3D%201.5%5C%5C%5C%5C%5Ctext%7BDivide%20both%20sides%20of%20equation%20by%200.25%7D%5C%5C%5C%5Cx%20%3D%206)
So, 6 pints of 20% pure fruit juice
Then, (30 - x) = 30 - 6 = 24
24 pints of 45 % pure fruit juice is used
Answer:
s=6
Step-by-step explanation:
3(s+4)=30
multiply 3×s and 3×4
3s+12=30
-12=-12
3s=18
divide 18 and 3s
s=6
It’s 60.
A line has 180 degrees, if one half of the line has 120 degrees, then 180-120 = 60.
The monthly failure rate is q = 5% = 0.05
The monthly pass rate is p = 1 - q = 0.95
We want to determine the probability of 12 passes in 12 consecutive months for a student.
P(12 of 12 successes) = ₁₂C₁₂ p¹² q⁰ = 0.95¹² = 0.5404.
Therefore if we have 100 students, the number that gets through 12 consecutive months is
100*005404 = 54 students.
Answer: 54 students are left after 12 months.