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diamong [38]
3 years ago
8

Kyra observed that 85% of the students at a library liked reading mystery stories. If 30 students at the library did not like re

ading mystery stories, the number of students at the library who liked mystery stories was . (only put numeric values, no other symbols
Mathematics
1 answer:
NARA [144]3 years ago
3 0

Answer:

170 students liked reading mystery stories.

Step-by-step explanation:

In order to find this, we first must find the total number of students. We can do this by dividing the number who did not like reading mystery stories (30 student) by the percentage of the overall that it represents (15%)

30/.15 = 200 students

Now that we know how many students there are, we can multiply that by the percentage who like mystery stories to get the number.

200 students * .85 = 170 students

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4 years ago
Exponential functions grow by equal factors over equal intervals. If a column of Δy was added to prove this relationship, what w
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4 years ago
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If n and k are positive integers, is n divisible by 6 ? (1) n = k(k + 1)(k – 1) (2) k – 1 is a multiple of 3.
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Answer: yes, it is

Step-by-step explanation:

A number is divisible by 6 if it is divisible by 2 and 3 simultaniously.

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If k-1 is a multiple of 3, n is divisible by 3, so one of the requirements is ok.

Now, if k-1 is a multiple of 3, it can be even or odd.

if k-1 is even, then it is divisible by 2 and as it is divisible by 3 as well, n is divisible by 6

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4 0
4 years ago
The ratio of boys to girls at King Middle school is 3:2. What is the ratio of girls to all students?
Dominik [7]
The answer is:  " 2 :5 " ;  or, write as:  " 2/5 " . 
________________________________________________________
The ratio of 'girls' to 'all students' is:  "2: 5 " ;  or, write as:  " 2/5 ".
________________________________________________________
Explanation:
________________________________________________________
Given:  The ratio of boys to girls is:  " 3:2 " .  

Problem:  Find the ratio of "girls" to "all students:
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Note:    This ratio of "boys to girls", which is " 3 : 2 " ; 
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    →  can be expressed as " 3x: 2x"  ;  

in which the total number of students is:  " 3x + 2x " = 5x " .

   → The total number of students is represented as:  " 5x " .  
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→  The ratio of "girls to boys" is:  "2x : 3x" .

→  {that is;  the "inverse" of the ratio of "boys to girls"} ;  
→  {that is;  the "inverse" of  " 3x: 2x" } ;  →  which is:  " 2x : 3x " .
________________________________________________________ 

The ratio of "girls" to "all students" is:  "2x : 5x "  ;  or " 2x/5x " ; 
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       →  and we have the answer:  " 2 :5 " ;  or, write as:  " 2/5 " . 
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The ratio of 'girls' to 'all students' is:  " 2 :5 " ;  or, write as:  " 2/5 ".
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3 years ago
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Answer:

{ \bf{f(b) - g(b) : }} \\ { \tt{ = ( {7b}^{3} + 8b) - ( {b}^{2}   + b - 10)}} \\  = ( {7b}^{3}  -  {b}^{2}  + 7b + 10)

7 0
3 years ago
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