The larger value is 9 x 10^9
The smaller value is 3 x 10^(-4)
Divide the larger over the smaller
Doing so will have you divide the coefficients 9 and 3 (numbers in front of the "times ten to the..." portions) to get 9/3 = 3.
Then you'll also subtract the exponents: 9 minus (-4) = 9 - (-4) = 9 + 4 = 13
In summary so far, we got a coefficient of 3 and an exponent of 13
So the final answer is 3 x 10^13 (assuming you want scientific notation)
If you want to convert to standard notation, instead of scientific notation, move the decimal point in 3.0 thirteen spots to the right to get
30,000,000,000,000
there are 13 zeros (four groups of 3 plus one just after the 3) in that value above. This is the number 30 trillion
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Answer:10 gallons of 30% solution and 30 gallons of 70% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of the 30% solution that should be mixed.
Let y represent the number of gallons of the 70% solution that should be mixed.
The total number of gallons of the mixture to be made is 40. This means that
x + y = 40
The 30% solution of fertilizer is to be mixed with a 70% solution of fertilizer in order to get 40 gallons of a 60% solution. This means that
0.3x + 0.7y = 0.6 × 40
0.3x + 0.7y = 24- - - - - - - - - - - - - -1
Substituting x = 40 - y into equation 1, it becomes
0.3(40 - y) + 0.7y = 24
12 - 0.3y + 0.7y = 24
- 0.3y + 0.7y = 24 - 12
0.4y = 12
y = 12/0.4
y = 30
x = 40 - y = 40 - 30
x = 10
Answer:
2n - 7 = 3n - 3
Step-by-step explanation:
Just count the n's and the (-1)'s
