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geniusboy [140]
3 years ago
6

On your family plan, you have a 6 GB data limit each month. You and your brother each use 0.75 GB each month, and your mother an

d father split the rest evenly. To stay under the limit, how much data can your mother and father each use?
Mathematics
2 answers:
Doss [256]3 years ago
7 0

Step-by-step explanation:

<em>Giv</em><em>e</em><em>n,</em>

<em>data </em><em>limit </em><em>=</em><em> </em><em>6</em><em> </em><em>GB</em>

<em>data </em><em>limit</em><em> </em><em>use </em><em>by </em><em>you </em><em>and </em><em>ur </em><em>brother </em><em>=</em><em> </em><em>0</em><em>.</em><em>7</em><em>5</em><em> </em><em>GB</em>

<em>and </em><em>rest </em><em>is </em><em>used </em><em>by </em><em>mother </em><em>and </em><em>father </em><em>equally</em><em>.</em>

<em>so,</em><em> </em><em>a/</em><em>q</em>

<em>0</em><em>.</em><em>7</em><em>5</em><em> </em><em>-</em><em> </em><em>6</em><em> </em><em>=</em><em> </em><em>5</em><em>.</em><em>2</em><em>5</em><em> </em><em>GB</em>

<em>remaining</em><em> </em><em>data </em><em>=</em><em> </em><em>5</em><em>.</em><em>2</em><em>5</em><em> </em><em>GB</em>

<em>let's </em><em>convert </em><em>5</em><em>.</em><em>2</em><em>5</em><em> </em><em>GB </em><em>in </em><em>Mb</em>

<em>1 </em><em>GB </em><em>=</em><em> </em><em>1000</em><em> </em><em>Mb</em>

<em>so </em><em>=</em><em> </em><em>5</em><em>.</em><em>2</em><em>5</em><em> </em><em>×</em><em> </em><em>1000</em><em> </em><em>=</em><em> </em><em>5</em><em>2</em><em>5</em><em>0</em><em> </em><em>Mb</em>

<em>hence</em><em>,</em><em> </em><em>rest </em><em>of </em><em>the </em><em>data </em><em>is </em><em>used </em><em>by </em><em>mother </em><em>and </em><em>father </em><em>equally</em><em> </em><em>so,</em>

<em>5</em><em>2</em><em>5</em><em>0</em><em>/</em><em>2</em><em> </em><em>=</em><em> </em><em>2</em><em>6</em><em>2</em><em>5</em><em> </em><em>Mb </em><em>Or </em><em>2</em><em>.</em><em>6</em><em>2</em><em>5</em><em> </em><em>GB</em>

<em>hence,</em><em> </em><em>our/</em><em>your </em><em>father </em><em>and </em><em>mother</em><em> </em><em>can </em><em>use </em><em>2</em><em>.</em><em>6</em><em>2</em><em>5</em><em> </em><em>Gb </em><em>each!</em>

<em><u>hope </u></em><em><u>this </u></em><em><u>answer</u></em><em><u> </u></em><em><u>helps </u></em><em><u>you </u></em><em><u>dear.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>!</u></em>

maria [59]3 years ago
5 0

Answer:

2.25 GB

Step-by-step explanation:

You and your brother each spend 0.75 GB per month, meaning that together you spend 1.5 GB.

Subtract this from the total to find the remaining amount of data left:

6 - 1.5 = 4.5 GB

Assuming your mother and father split the remaining data equally, simply divide the remaining amount by 2 to find your answer:

4.5 / 2 = 2.25

Therefore, your parents can each use 2.25 GB.

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A theater group made appearances into cities the hotel charge before tax and the second city was 1500 higher than the first the
Svetlanka [38]

Answer:

The hotel charge in each city before tax was <u>$5125</u> of the first city and <u>$3625</u> of the second city.

Step-by-step explanation:

Given:

A theater group made appearances into cities the hotel charge before tax and the second city was 1500 higher than the first.

The tax of the first city was 6% and the tax of the second city was 10%.

Total hotel tax paid for two cities with $670.

Now, to find the hotel charge in each city before tax.

Let the hotel charge in first city before tax be x.

And the hotel charge in second city before tax be y.

<em>So, as the hotel charge of the second city was 1500 higher than the first.</em>

<em>Thus</em>,

y=x-1500   ........(1)

<em>And as given, the tax of the first city was 6% and the tax of the second city was 10%, total hotel tax paid for two cities with $670.</em>

6% of x + 10% of y = $670.

\frac{6x}{100} +\frac{10y}{100} =670

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0.06x+0.10(x-1500)=670

0.06x+0.10x-150=670

0.16x-150=670

<em>Adding both sides by 150 we get:</em>

0.16x=820

<em>Dividing both sides by 0.16 we get:</em>

x=5125.

<em>The hotel charge in first city before tax = $5125.</em>

Now, substituting the value of x in equation (1) we get:

y=x-1500

y=5125-1500

y=3625.

<em>The hotel charge in second city before tax = $3625.</em>

Therefore, the hotel charge in each city before tax was $5125 of the first city and $3625 of the second city.

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