Answer:
The second option: 3 (6 - 5n)/20n
Step-by-step explanation:
Make sure all fractions have a common denominator:
Step 1. Find a common multiple between all three denominators
5, 4, and 10 all have a common multiple of 20. Proof: 5 × 4 = 20, 4 × 5 = 20, and 10 × 2 = 20
Step 2. Multiply the denominators to get to 20. Whatever you do to the bottom (denominator) must be done to the top (numerator).
1/5n × 4/4 = 4/20n
3/4 × 5n/5n = 15n/20n
7/10n × 2/2 = 14/20n
Your fractions now all have a common denominator of 20n.
Rewrite the equation using the new fractions:
4/20n - 15n/20n + 14/20n
Only focus on adding/subtracting the numerators; the denominators will stay the same: 20n.
(4 - 15n + 14)/20n
Combine like terms:
(18 - 15n)/20n
Factor out any numbers possible:
3(6 - 5n)/20n
Note* 3 go into both 18 and 15, which allows us to factor 3 out. 18 ÷ 3 = 6 and 15 ÷ 3 = 5, giving us our new numbers inside the parentheses.
Answer:
14 knots
Step-by-step explanation:
We know the speed (55 knots) is 6 more than 3.5 times the winner of the monohull in the 2007 tournament.
So let's set the variable for the speed of the monohull to <em>m</em>. Now, let's set up an equation:
We can solve this by first subtracting 6 from both sides to get:
Dividing both sides by 3.5 we get:
That means that the top speed of the monohull in the 2007 tournament was 14 knots
Answer:
The melting pot theory of ethnic relations, which sees American identity as centered upon the acculturation or assimilation and the intermarriage of white immigrant groups, has been analyzed by the emerging academic field of whiteness studies. This discipline examines the "social construction of whiteness" and highlights the changing ways in which whiteness has been normative to American national identity from the 17th to the 20th century.
Step-by-step explanation:
The correct answer is
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