Hey!
Let's start writing this problem.

Subtract

from both sides.


Subtract

from both sides.


Divide both sides by

.


Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish
221.56, because in order to get the area of a circle, you must use this formula: area = (pi divided by 4) x diameter squared.
In this case, area = (3.14 / 4) x (16.8 x 16.8)
Check the picture.
Consider the triangle DAB, with |DA|=9 ft, |AB|=23 ft and m(DAB)=80°.
To find the length of the diagonal, |DB|, we use the cosine law:


Thus, |DB|=

(ft)
Answer: 24.6 ft
There are three groups of people: 25 years old and younger, between 25 to 50, and 50 years old and older. Their fractions must equal to 1 because these three together form the whole.
1 = 1/3 + 2/7 + x
where x is the fraction for people ages 25 to 50 years old
x = 8/21
So, the actual number of people ages 25 to 50 years old is:
84(8/21) = 32 people
The answer is: [C]: " ⁷/₆ " .
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Note:
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(5/3) - (1/2) = ? ;
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The LCD (lowest common denominator) of "2 and 3" is "6" ;
So we need to rewrite EACH fraction in the problem as a fraction with "6" in the denominator ;
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(5/3) = (?/6) ? ; (6÷3=2) ; (5/3) = (5*2)/(3*2) = 10/6 ;
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(1/2) = (?/6) ? ; (6÷2=3) ; (1/2) = (1*3)/(2*3) = 3/6 ;
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Rewrite the problem: " (5/3) - (1/2) " ; as:
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10/6 - 3/6 ;
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10/6 - 3/6 = (10 - 3) / 6 = (7/6) = 1 ⅙ .
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The answer is: " ⁷/₆ " ; or, write as: " 1 ⅙ " ; which corresponds to:
______________________________________________________
Answer choice: [C]: " ⁷/₆ " .
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