Respuesta :
Answer:
Yes, Sam and Lou have enough wire for science project.
Step-by-step explanation:
There is some data missing in the question, so complete question is below:
[tex]Sam\ and\ Lou\ need\ a\ total\ of\ 1\ foot\ of\ wire\ for\ science\ project.[/tex][tex]Sam's\ wire\ measured\ 8/12\ foot\ long.\ Lou's\ measured\ 7/8-\ foot \ \ long.[/tex][tex]Do\ they\ have\ enough\ wire\ for\ the\ science\ project?[/tex][tex]Explain \ your\ reasoning.[/tex]
Now, to get that whether they have enough wire for the science project or not.
Measurement of Sam's wire = [tex]\frac{8}{12} \ foot.[/tex]
Measurement of Lou's wire = [tex]\frac{7}{8}\ foot.[/tex]
Now, adding both the wires of Sam and Lou:
[tex]\frac{8}{12} +\frac{7}{8} \\\\=\frac{16+21}{24} \\\\=\frac{37}{24}[/tex]
[tex]=1\frac{13}{24} \ feet.[/tex]
As, Sam and Lou need a total of 1 foot of wire for the science project.
And, we see that the Sam's wire and Lou's wire combining gets [tex]1\frac{13}{24}\ feet[/tex] which is more than 1 foot.
Thus, wire they have is enough for science project.
Therefore, yes, Sam and Lou have enough wire for science project.
