Answer: 3/16 gallons of water
Step-by-step explanation:
With any fraction, if you multiply it by its reciprocal, it equals 1. (ex: 3/4*4/3=1, 1/2*2/1=1, 71/256*256/71=1) Thus, 2/3*3/2=1. Because 2/3 of the bin=1/8 gallon, simply multiply both sides of the equation by 3/2 and you will get that 1 bin of water=0.1875 gallons of water, or 3/16 gallons of water.
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Answer:
C) 30.9702
Step-by-step explanation:
Take log of both sides:
In5^x = In8^x - 7
Rewrite it using the laws of log:
xIn5 = (x - 7)In8
x / (x - 7) = ln 8 / ln 5
x / (x - 7) = 1.292
x = 1.292x - 9.044
1.292x - x = 9.044
x = 9.044 / 0.292
Thus, x = 30.9702
Multiply each term in the equation by 4/1.
9-2y+2y+4=24
Combine like terms
13=24
Because the result is false, it is no solution.
Since 13 can only be divided evenly by 1 and 13 (itself), it is called a prime number.