Ruben bought 6 new book which increased his collection by 12%. how many books did he have?

The initial number of books he had=50

The number of books he has after adding new books=56

Step-by-step explanation:

Step 1: Derive formula for percentage increase

The formula for calculating the percentage increase is;

p={(f-i)/i}×100

where;

p=the percentage increase

f=the final number of books he had

i=the initial number of he had

In our case;

p=12%

(f-i)=defines the increase in the number of books=6

i=unknown

Substitute and solve for i;

12%=6/i

(12/100)=6/i

(12/100)×i=6

i=6×100/12

i=50

The initial number of books he had=50

The number of books he has after adding new books=50+6=56

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

answer: the answer is 5/22

step-by-step explanation: if you subtract 17 from 22 the answer is 5 therefore the remainder of students are female