What is the answer to number 12
1 answer:
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Let x be the amount of the 30% alcohol and let y be the amount of 5% alcohol.
We want the total amount to by 25 gal, then we have:
We also want the resulting mix to be 25% alcohol, this is 0.25 in decimal form; also we know that the first type of alcohol is 30% and the second is 5%, then we have:
Hence we have the system of equations:
To solve the system we solve the first equation for y:
then we plug this value of y in the second equation:
Once we have the value of x we plug it in the expression we found for y:
Therefore, the mixture will have 20 gallons of 30% alcohol and 5 gallons of 5% alcohol.
Answer:
The prime factorization of 200 using exponential notation is .
Step-by-step explanation:
First, we decompose the number given on statement by applying prime numbers in ascending order. We see that 200 is an even number, therefore, we infer that smallest prime number within is 2.
1) (Even number)
2) (Even number)
3) (Even number)
4) (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)
5) (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)
Now, we construct the prime factorization using exponential notation:
The prime factorization of 200 using exponential notation is .