We know that 20% of the first type of juice is pure fruit juice and 45% of second type of juice is pure fruit juice.
Now we have to make 30 pints of a mixture that is 35% pure.
Let x be the number of pints of first type of juice and y be the number of pints of second type of juice.
So,
(Equation 1)
Since, 20% of x + 45% of y = 35.3% of 30
(Equation 2)
Solving equations 1 and 2,
we get y=18 and x=12.
So, 12 pints of first type of juice and 18 pints of second type of juice are used.
Domain is (-infinity, infinity)
Range is [8, infinity)
To factor completely 18b - 32, we factor out the common factor of the two terms and divide each of term by the common factor.
18b - 32 = 2(18b/2 - 32/2) = 2(9b - 16)
Make denominator same first.
1/2 - 1/6
3/6 - 1/6
Now subtract numerators
(3-1) / 6
2/6
Now simplify
1/3
Final answer: 1/3
Answer:
5. 78300000
6. 25000
7. 0.000008345
8. 0.003
Step-by-step explanation:
when the exponent is negative, the decimal moves to the left
when the exponent is positive, the decimal moves to the right