A shipping company charges a $3 flat fee for a package, plus a fee based on the weight of the package. The company charges $0.75 per pound, plus an additional $0.50 for every pound over 12 pounds. . George plans on sending a package that is over 12 pounds. He has $27 to spend on shipping. What is the maximum number of pounds that this package could be? The Maximum number of pounds is

32 pounds

Step-by-step explanation:

$3 flat fee for a package, plus a fee based on the weight of the package. The company charges $0.75 per pound, plus an additional $0.50 for every pound over 12 pounds.

The first step would be to derived an equation

$3 + $0.75

3 + 0.75x

Where x = number of pounds

George plans on sending a package that is over 12 pounds. He has $27 to spend on shipping.

Hence,

3 + 0.75x = 27

0.75x + 3 = 27

0.75x = 27 - 3

0.75x = 24

x = 24/0.75

x = 32 pounds

The maximum number of pounds that this package could be is 32 pounds

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl