Calculate the quotient of each expression. write your answers in lowest terms

1) The quotient is  

2) The quotient is

3) The quotient is

Step-by-step explanation:

1) Given

When dividing whole numbers and fractions, you first change the operation to multiplication and then change the divisor to its reciprocal. The same rule applies to dividing a fraction by another fraction.

ie,  (multiply the fractions)

Next, simply the fraction.Now Convert the improper fraction into a mixed number

Therefore the quotient is  

2) Given

To find

First, write the mixed numbers as improper fractions.

So, the expression becomes

now the given expression may be written as

 (multiply the fractions)

Next, simply the fraction.Now Convert the improper fraction into a mixed number

Multiply by the reciprocal of 65 , which is 56 .

136÷65=136⋅56

Multiply the numerators and multiply the denominators.

=6536

Write the improper fraction as a mixed number.

=12936

So,

216÷115=12936

answer: $201

step-by-step explanation: to get the answer, you first get 3 nieces that he sold and multiply it by 67 and get $201, so he earned $201 selling his nieces.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.