Lin and Jada each walk at a steady rate from school to the library. Lin can walk 13 miles in 5 hours, and Jada can walk 25 miles in 10 hours. They each leave school at 3:00 and walk 3 and 1/4 miles to the library. What time do they each arrive?

Step-by-step explanation:

Given parameters:

Rate of walking by Lin = 13 miles in 5 hours

Rate of walking by Jada  = 25 miles in 10 hours

Distance walked = 3.25 miles

Time of take off = 3:00

Solution:

The rate of their walking amounts to their speed;

             Speed  =

Speed of Lin  =   = 2.6 miles/hr

Speed of Jada =  = 2.5 miles/hr

To find the time; make it the subject of formula and solve for each person;

                       Time  =

 Time of Lin  =  = 1.25hr    = 48 minutes

  Time of Jada  =   =  1.3hr   = 47 minutes

Time for each to arrive;

              Lin  = 3.00 +  1.25hr  = 4:25

              Jada  = 3.00 +  1.30hr    = 4:30

a) what number, when added to negative four, is equal to negative five?

step-by-step explanation:

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.