Alicia and sarah are at the supermarket. Alicia wants to get peanuts from the bulk food bins and Sarah wants to get almonds. The almonds cost $5.50 per pound and the peanuts cost $2.50 per pound. Together they buy 1.6 pounds of nuts. If the total cost is $6.75, how much did each girl get?

Step-by-step explanation:

 let the almond be x pounds

and the peanuts be y pounds

so

x+y=1.61

5.5x+2.5y=6.75---2

let us multiply both eqn 1 by 5.5 to to eleminate x

and subtract eqn 2 from the new eqn

  5.5x+5.5y=8.83

 -5.5x+2.5y=6.75---2

   0+3x=2.05

divide both sides by 3 we have

x=2.05/3

x=0.68 pound

put x=0.68 in eqn 1 we have

0.68+y=1.6

y=1.6-0.68

y=0.91 pounds

Alicia gets $2.50*0.91= $2.275

Sarah gets  $5.50 *0.68=$3.74

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.

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.