Cody and sam mowed the yard on saturday. dad told cody to mow 1/4 of the yard. he told sam to mow 1/3 of the remainder of the yard. dad paid each of the boys an equal amount. sam said, "dad, that’s not fair! i had to mow one-third, and cody only mowed one-fourth! " explain to sam the error in his thinking.
draw a picture to support your reasoning.

Step-by-step explanation:

Dad told Cody to mow of the yard.

He told Sam to mow of the remainder of the yard.

Sam might be thinking is bigger than

But actually Sam was told to mow :

of (1 - )

× (1 - )

= ×

=

Therefore, both mowed the yard in equal amount.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x