100 POINTS!!!!! help me with this and I swear on my life and everything I will give u 100 points, check my profile points if u d
ont beleive me, must be right only after ill give u them
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Remember that <span>an extraneous solution of an equation, is the solution that emerges from solving the equation but is not a valid solution.
Lets solve our equation to find out what is the extraneous solution:
</span>
and 
and 
<span>
So, the solutions of our equation are </span> and . Lets replace each solution in our original equation to check if they are valid solutions:
- For
We can conclude that 7 is a valid solution of the equation.
- For
We can conclude that 4 is not a valid solution of the equation; therefore, 4 is a extraneous solution.
We can conclude that the correct answer is: <span>D. the extraneous solution is x = 4</span>
Lets solve our equation to find out what is the extraneous solution:
</span>
<span>
So, the solutions of our equation are </span>
- For
We can conclude that 7 is a valid solution of the equation.
- For
We can conclude that 4 is not a valid solution of the equation; therefore, 4 is a extraneous solution.
We can conclude that the correct answer is: <span>D. the extraneous solution is x = 4</span>
Answer:
$38.31
Step-by-step explanation:
Given:
Pure silver that cost $33.48 per ounce used to form $24.35 alloy/ounce.
Question asked:
How many ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?
Solution:
At cost $24.35/ounce, pure silver is mixed = $33.48
At cost $1/ounce, pure silver is mixed =
At cost $27.87/ounce, pure silver is mixed =
Thus, $38.31 ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce.
(C) fraction of the marbles now in the bag is blue.
- A fraction is a portion of a whole or, more broadly, any number of equal parts.
- In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters.
- A common, vulgar, or simple fraction that consists of a numerator above a line and a non-zero denominator below that line.
- Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.
To find what fraction of the marbles now in the bag is blue:
- Important information is that immediately before the last step blue marbles formed
from the marble in the bag.
- That means that there were
blue and
other marbles, for some
- When we double the number of blue marbles, there will be
blue and
- Hence, blue marbles now form
all marbles in the bag.
Therefore, (C) fraction of the marbles now in the bag is blue.
Know more about fractions here:
SPJ4
Complete question:
A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only 1 / 3 of the marbles in the bag are blue. Then yellow marbles are added to the bag until only 1 / 5 of the marbles in the bag are blue. Finally, the number of blue marbles in the bag is doubled. What fraction of the marbles now in the bag are blue?
(A) 1/5
(B) 1/4
(C) 1/3
(D) 2/5
(E) 1/2