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2 years ago

5

John and his three brothers share a cell phone plan. The cell phone company charges a flat rate of $90 per month, which the four

brothers share equally. In addition, the cell phone company charges 25 cents per megabyte of data downloaded. Each brother pays for his own downloaded data.
John's share of the current cell phone bill is $147.50.

Which equation determines how many megabytes of data John downloaded?

2 answers:

Ne4ueva [31]2 years ago

8 0

Answer:

(147.50 - 22.5)/.25

Step-by-step explanation:

First subtract his portion of the $90. Which is $22.5, when subtracted from 147.5 you get $125. Now divide $125 by .25 cents and you get the amount of megabytes he downloaded.

drek231 [11]2 years ago

3 0

Answer: 22.5+0.25x=147.50

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

<em>Flat rate: $90, (share equally among the four brothers means 90/4 =$$22.5 each) </em>
<em>Cost per megabyte: $0.25 </em>
<em>John's share: $147.50 </em>

So, the equation is

22.5+0.25x=147.50

Where "x" is the number of megabytes of data that john downloaded

Feel free to ask for more if needed or if you did not understand something.

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A line contains the points (82, −96) and (87, −86).

Alik [6]

Answer:

<h2>The answer is 2</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(82, −96) and (87, −86)

We have

$m = \frac{ - 86 - - 96}{87 - 82} = \frac{ - 86 + 96}{5} = \frac{10}{5} = 2 \\$

We have the final answer as

<h3>2 </h3>

Hope this helps you

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2 years ago

FOR 14 POINTS Thalia, a quiz show contestant, answered 20 questions. She was awarded 2 points for every correct answer that she

Svetradugi [14.3K]

Answer:

<em>The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation.</em>

Step-by-step explanation:

Given

Total Questions = 20

Total Points = 28

Correct Answers = +2 points

Incorrect Answers = -1 point

Required

Spot the error in the viewer's calculation

The viewer represents the correct answers with x and the incorrect ones with y.

This implies that

$x + y = 20$

Also, for every correct answers, she gets 2 points;

<em>This can be represented by 2x</em>

and for every incorrect answers, she gets -1 point

<em>This can be represented by -y</em>

This implies that

$2x - y = 28$

This is where the viewer made a mistake

The viewer's mistake is that; instead of subtracting total incorrect points from the correct points, the viewer added them together;

Solving further

$2x - y = 28$

$x + y = 20$

Add both equations together

$2x + x + y - y = 28 + 20$

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Divide both sides by 3

$\frac{3x}{3} = \frac{48}{3}$

$x = \frac{48}{3}$

$x = 16$

Substitute $x = 16$ in $x + y = 20$

$16 + y = 20$

Subtract 16 from both sides

$16 - 16 + y = 20 - 16$

$y = 20 - 16$

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<em></em>

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2 years ago

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Johann fits a linear model to a set of data. The line of best fit has the equation y=0.331986x+5.33286. The scatter plot with th

Rasek [7]

Answer:

6.33

Step-by-step explanation:

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To do this, what we need to do is to input the value x = 3 into the line of best fit equation.

The line of best fit equation according to the question is;

y=0.331986x+5.33286

Substituting x here, we have

y = 0.331986(3) + 5.33286

y = 0.995958 + 5.33286 = 6.328818

Question asks to give answer to the nearest hundredth and that is 6.33

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VikaD [51]

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This means the exclusion zone would be applied to the base and the height of the triangular space.

You would add 2 km to the 3 km, and 2 km to the 4 km to create a new height of 5 km and a new base of 6 km.

Please see the attached picture to understand this.

You will find the area of the total space created by the new triangle and subtract the space represented by the original triangle to find the area of the exclusion zone.

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2 years ago

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Answer:

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Parabola equation:

$y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}$

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Parabola equation:

$y=ax^2 +bx+c$

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2 years ago

Read 2 more answers