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.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this