Answer:
D: 6 5/6
Step-by-step explanation:
Solve for a:
a + 7/6 = 8
Put each term in a + 7/6 over the common denominator 6: a + 7/6 = (6 a)/6 + 7/6:
(6 a)/6 + 7/6 = 8
(6 a)/6 + 7/6 = (6 a + 7)/6:
(6 a + 7)/6 = 8
Multiply both sides of (6 a + 7)/6 = 8 by 6:
(6 (6 a + 7))/6 = 6×8
(6 (6 a + 7))/6 = 6/6×(6 a + 7) = 6 a + 7:
6 a + 7 = 6×8
6×8 = 48:
6 a + 7 = 48
Subtract 7 from both sides:
6 a + (7 - 7) = 48 - 7
7 - 7 = 0:
6 a = 48 - 7
48 - 7 = 41:
6 a = 41
Divide both sides of 6 a = 41 by 6:
(6 a)/6 = 41/6
6/6 = 1:
Answer: a = 41/6 or a= 6 5/6
*assuming that ABC is a straight line**
<span>then you have </span>
<span>AB = 17.89 ..... this is the length of the whole line </span>
<span>BC is a part of the line = 7 </span>
<span>therefore the length of the other part = 17.89 - 7 </span>
<span>= 10.89</span>
Okay so the relationship between points K and K' is that you subtract 4 from the x values and you add 6 to the y values.
1 - 4 = - 3
L ( - 3 , 3 ) ==> L' ( - 3 - 4 , 3 + 6 ) ==> L' ( - 7 , 9 )
The only answer option with L' as such is answer choice B.
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I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
To help with thinking about this, we can say that the 6 gallons of 50% acid contains 3 gallons of pure acid and 3 gallons of filler. This would make the concentration 3/6, or 50%. Adding a gallon of pure acid would shift the concentration to 4/7, or 57.1%.
When the relationship becomes 70%, four gallons of pure acid have been added.
3+4 7
—— = — = 70%
6+4 10
