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SVEN [57.7K]
3 years ago
15

PLEASE HELP DUE IN 5 MIN... Carson has a smart phone data plan that costs $40 per month that includes 2 GB of data, but will cha

rge an extra $10 per GB over the included amount. How much would Carson have to pay in a month where he used 3 GB over the limit? How much would Carson have to pay in a month where he used went over by xx GB?
Mathematics
1 answer:
REY [17]3 years ago
3 0

Answer:

a. $70

b. $(40 + 10x)

Step-by-step explanation:

The standard cost of the charges is $40 per month but an extra $10 per GB over the included amount.

a. Firstly the cost for a month in which he uses 3GB over the limit

we have a standard of $40, then he has to pay $10 per GB for the 3GB over the limit.

Thus the cost of the 3GB is $10 * 3 = $30

The total cost for using 3GB above the limit would be $40 + $30 = $70

b. For using x GB above the limit

He has to pay $10 per each GB above the limit

Thus, the amount to be paid for x GB above the limit would be x * $10 = $10x

So the total amount to be paid would be the base fee plus over the limit fee= $(40 + 10x)

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KiRa [710]

Answer:

Using

Step-by-step explanation:

SOH CAH TOA

Sine = opposite/hypotenuse

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Tan = opposite/adjacent

6 0
3 years ago
Read 2 more answers
Margo brought 7 pens from a book store some pens cost $3.00 EACH and the rest cost $4.00 . If she paid a total of 23.00 for the
Montano1993 [528]

Answer:

5

Step-by-step explanation:

Margo bought 7 pens for $23.

Some pens are $3 and some $4.

We need to find how many $3 pens she bought.

Let the number of $3 pens be represented by p and let the number of $3 pens be represented by r. So:

p = $3  and r = $4

Now we know 7 pens were purchased so is we add the number of $3 pens purchased to the number of $4 pens purchased, we will get 7.

p + r = 7

We know that the total cost of the pens is $23 so that equation would be found by takign the $3 pen multiplied by the number of $3 pens purchsed added to the $4 pen multiplied by the number of $4 pens purchsed, which equals $23.

$3p + $4r = $23

Now we have 2 equations and 2 unknowns.

p + r = 7

$3p + $4r = $23

Let's solve for r in the first equation.

p + r = 7     Subtract p from both sides.

p - p + r = 7 - p   The p on the left cancels.

r = 7 - p

Now that we know r, we can substitute it into the second equation and solve for p.

$3p + $4r = $23

3p + 4( 7 - p) = 23       Multiply it out.

3p + 4*7 - 4*p = $23

3p + 28 - 4p = 23      Combine like terms.

3p  - 4p + 28 = 23

- 1p + 28 = 23       Subtract 28 from both sides.

- p + 28 - 28 = 23 - 28  

- p = - 5   Divide each side by -1

- p/- 1 = - 5/ - 1       The negative cancels on each side.

p = 5

We can see Margo bought 5 $3 pens.

For fun, let's solve for how many $4 pens she bought. We know p, so we plug it in the first equation and solve for r.

p + r = 7

5 + r = 7  Subtract 5 from each side

5 - 5 + r = 7 - 5

r = 7 - 5

r = 2

So Margo bought 5 $3 pens and 2 $4 pens!

8 0
3 years ago
Given f(x) = x² - 10x + 22, what is the range of f?
adoni [48]

Answer:

[-3, ∞)

Step-by-step explanation:

There are many ways to find the range but I will use the method I find the easiest.

First, find the derivative of the function.

f(x) = x² - 10x + 22

f'(x) = 2x - 10

Once you find the derivative, set the derivative equal to 0.

2x - 10 = 0

Solve for x.

2x = 10

x = 5

Great, you have the x value but we need the y value. To find it, plug the x value of 5 back into the original equation.

f(x) = x² - 10x + 22

f(5) = 5² - 10(5) + 22

      = 25 - 50 +22

      = -3

Since the function is that of a parabola, the value of x is the vertex and the y values continue going up to ∞.

This means the range is : [-3, ∞)

Another easy way is just graphing the function and then looking at the range. (I attached a graph of the function below).

Hope this helped!

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3 years ago
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Neko [114]
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What is the difference in minutes of median
REY [17]

<h2>Answer:</h2>

The answer is 25 minutes

<h2>Step-by-step explanation:</h2>

As we see the median time given in minutes before the installation was 53 minutes and after the installation it became 28 so by taking the difference which is 53 - 28 gives us 25 minutes.

8 0
3 years ago
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