Mrs. Duncan measured the lengths of a crayon and a pencil. The pencil is double the length of the crayon. The sum of their length is 24 centimeters. What are their lengths?

The length of pencil is 16 centimetres and length of crayons is 8 centimetres

Step-by-step explanation:

Let the length of crayon =

Length of a pencil =

As according to question that the sum of their length is 24 centimetres

So we have

Therefore the length of crayon = 8 centimetres

Length of pencil= centimetres

Hence, the length of pencil is 16 centimetres and length of crayons is 8 centimetres

answer: do you still need this?

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.