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Lera25 [3.4K]
3 years ago
14

Ayuda con mi tarea de matemáticas , dice asi : En una biblioteca hay 5 estantes , 2/5 de uno de ellos está ocupado por libros de

historia , 7/2 por libros de matemática y 11/10 por libros de inglés. Hay espacio en la biblioteca para colocar mas libros?
Mathematics
1 answer:
laiz [17]3 years ago
4 0

There are 5 shelves in the bookcase.

2/5 of one shelve is occupied.

That would be:

2/5*1/5=2/25 of all shelves

7/2 is more than 1, so it refers to the bookcase instead of one shelve. The same with 11/10.

So the total is:

2/5+7/2+11/10 = 5

So all shelves are completely full.

So there is no room for any other book.

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The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m^2 and then divide it in half with a fence dow
Reika [66]
If you notice the picture below, the amount of fencing, or perimeter, that will be used will be 3w + 2l

now    \bf \begin{cases}
A=l\cdot w\\\\\
A=3000000\\
----------\\
3000000=l\cdot w\\\\
\frac{3000000}{w}=l
\end{cases}\qquad thus
\\\\\\
P=3w+2l\implies P=3w+2\left( \cfrac{3000000}{w} \right)\implies P=3w+\cfrac{6000000}{w}
\\\\\\
P=3w+6000000w^{-1}\\\\
-----------------------------\\\\
now\qquad \cfrac{dP}{dw}=3-\cfrac{6000000}{w^2}\implies \cfrac{dP}{dw}=\cfrac{3w^2-6000000}{w^2}
\\\\\\
\textit{so the critical points are at }
\begin{cases}
0=w^2\\\\
0=\frac{3w^2-6000000}{w^2}
\end{cases}

solve for "w", to see what critical points you get, and then run a first-derivative test on them, for the minimum

notice the 0=w^2\implies 0=w   so.  you can pretty much skip that one, though is a valid critical point, the width can't clearly be 0

so.. check the critical points on the other

8 0
3 years ago
Jake completed a marathon race in 3 hours and 12 minutes. What would be Jake's running time as a decimal?
VikaD [51]

\text{Given that Jake completed a marathon race in 3 hours and 12 minutes.}\\
\\
\text{we need to find this time in decimals. so we will convert 12 minutes into hours}\\
\\
\text{We know that there are 60 minutes in 1 hour. }\\
\\
\text{so in 1 minute there will be}=\frac{1}{60 }\text{ hour}

\text{hence in 12 minutes we have}=\frac{1}{60}\times 12=\frac{1}{5}=0.2 \text{ hours}\\
\\
\text{hence the Jake's running time is}=3\text{hours + 12 minute}\\
\\
=3\text{ hours}+0.2 \text{ hours}\\
\\
=3.2 \text{ hours}

Hence, Jake's running time in decimal is: 3.2 hours

4 0
3 years ago
Alice, Bob, and Carol play a chess tournament. The first game is played between Alice and Bob. The player who sits out a given g
Andrews [41]

Answer:

I don't know what you think about it is not going to be a great day of school and I don't know what you think about it is not going to be a great day of school

3 0
3 years ago
Which function represents the graph
natulia [17]

Answer:

A

Step-by-step explanation:

the function is moved up by 8 on the y axis which means you need a +8 that isn't directly attached to the x

4 0
3 years ago
I do not understand this problem helpppppp
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same I'm with u!?

Step-by-step explanation:

I need help on that to pls help smart person I no ur out the some were hurry pls :(

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