Respuesta :
namely, how many times does 5/4 go into 95/4? well, let's just divide,
[tex]\bf \cfrac{\quad \frac{95}{4}\quad }{\frac{5}{4}}\implies \cfrac{95}{\underline{4}}\cdot \cfrac{\underline{4}}{5}\implies \cfrac{95}{5}\implies 19[/tex]
[tex]\bf \cfrac{\quad \frac{95}{4}\quad }{\frac{5}{4}}\implies \cfrac{95}{\underline{4}}\cdot \cfrac{\underline{4}}{5}\implies \cfrac{95}{5}\implies 19[/tex]
Answer:
The answer is:
- 19, because the number of books is 95 over 4 divided by 5 over 4
Step-by-step explanation:
Samantha has a shelf that is 95 over 4 inches wide.
i.e. thickness of shelf=95/4 inches
Also, each book is 5 over 4 inches thick
This means that the thickness of one book is: 5/4 inches
Now,let n be the total number of books that could be arranged in the shelf.
This means that:
[tex]\text{Number\ of\ books\ arranged}=\dfrac{\text{Thickness\ of\ shelf}}{\text{Thickness\ of\ one\ book}}[/tex]
i.e.
[tex]n=\dfrac{\dfrac{95}{4}}{\dfrac{5}{4}}\\\\i.e.\\\\n=\dfrac{95\times 4}{5\times 4}\\\\i.e.\\\\n=\dfrac{95}{5}\\\\i.e.\\n=19[/tex]
