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Nutka1998 [239]
2 years ago
10

A 2.2 GB game is being downloaded onto your laptop. When you have downloaded half a gigabyte, you notice that your computer has

been downloading at a rate of .01GB/min. Write an inequality that represents at least how many minutes (m) it will take to download the whole game.
Mathematics
1 answer:
andreev551 [17]2 years ago
6 0

Answer:

0.01m +\frac{1}{2} \geq 2.2

Step-by-step explanation:

Let m be number of minutes it will take to download the whole game.

We are told that computer is downloading at a rate of 0.01 GB per minute and half GB game is already downloaded. So 0.01*m+0.5 will be equal to 2.2 as game size is 2.2 GB.

Let us find the least number of minutes it will take to download the whole game.

0.01m +\frac{1}{2} \geq 2.2

0.01m +0.5\geq 2.2

0.01m \geq 2.2-0.5

0.01m \geq 1.7

m\geq \frac{1.5}{0.01}

Therefore, 0.01m +\frac{1}{2} \geq 2.2 is our desired inequality.



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x + y = 6

- Make an equation representing the total number of seats in vehicles for the orchestra members.

s = 25x + 12y

That's how many seats total; it has to be at least 111 so again an inequality,

25x + 12y ≥ 111

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x + y = 6

y = 6 - x

111 = 25x + 12y = 25x + 12(6-x)

111 = 25x + 72 - 12x

111 - 72 = 13 x

39 = 13 x

x = 3

Look at that,  it worked out exactly.  It didn't have to.

y = 6 - x = 3

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Step-by-step explanation:

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The perimeter of the base of a regular quadrilateral prism is 60 cm, the area of one of the lateral faces is 105 cm2.
yawa3891 [41]

For a better understanding of the solution, please follow the diagram in the attached file.

A regular quadrilateral is basically a square.

So, if the base of the prism has a perimeter of 60 cm, then the length of the side of the square will be \frac{60}{4}=15 cm. It is shown of the diagram.

Now, from the diagram, it is clear that the lateral face area, which is given as 105 cm^2, is the product of the side of the square, which is known, and the unknown height, let us call it h. Thus, we will get the following equation:

15\times h=105

\therefore h=\frac{105}{15}=7 cm

This is depicted on the diagram.

Now, all our required parameters are in place. Thus, let us find what has been asked.

<u>SURFACE AREA</u>

Surface Area (SA) will be the sum of the areas of the two bases (squares) and the areas of the four lateral faces.

Since the side of one square base is 15 cm, therefore, the area of one square base will be 15^2.

Likewise, the area of one lateral surface is actually the area of a rectangle with length 15 cm and height 7 cm. Thus, it's area will be given as: 15\times 7.

Thus, our equation will be:

SA=2\times 15^2+4\times 15\times 7=870 cm^2

Therefore, Surface Area=870 cm^2

<u>VOLUME OF THE PRISM</u>

The volume of the prism will simply be the area of the base times the height of the prism.

Thus, the volume is:

Volume=15^2\times 7=1575 cm^3


5 0
2 years ago
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