A mobile company charges a fixed rate of x cents per minute for the first 120 minutes of talk time and another rate of y cents per minute for each additional minute of talk time. Ethan paid $26.80 and $32.40 for 175 mins and 210 minutes of talk time on two different occasions respectively. find the amount he has to pay if he uses 140 mins of talk time.

Answers

Answer 1

Answer:

$21.2

Step-by-step explanation:

From the problem given, we express them as algebra so that we can easily solve;

    the total charge on a call greater than 120min is given as;

   120x + y(n - 120) = total cost of call

where n is the number of minutes which is greater than 120;

  Ethan paid $26.80  for 175 mins

  n = 175min here;

      120x + y(175 - 120) = 26.80

       120x + 55y = 26.80 ----- (I)

$32.40 for 210 minutes

      n = 210min

       120x + y(210 - 120) = 32.4

       120x + 90y = 32.4 ----- (II)

Now let us solve both equations for y and x;

      120x + 55y = 26.80 ----- (I)

     120x + 90y = 32.4 ----- (II)

subtract the two equations;

             90y - 55y = 32.4 - 26.8

                  35y = 5.6

                       y = [tex]\frac{5.6}{35}[/tex]  = 0.16cents

then x;

       120x = 26.8 - 55y from equation I

       120x = 26.8 - 55(0.16)

       120x = 18

            x = [tex]\frac{18}{120}[/tex]  = 0.15cents

Find the cost of 140min of talk time;

  n =140min;

      =  120(0.15) + 0.16(140 - 120)

      = 18 + 0.16(20)

      = 18 + 3.2

      = $21.2


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Answers

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Answers

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Answers

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Answers

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Answers

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Answers

Answer:

The coordinates of the upper right hand corner after translation is (1, 13)

Step-by-step explanation:

Let us revise the rules of translation

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At first let us find the upper right hand corner of the square

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→ To find lower right hand corner add 8 to the x-coordinate of the

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→ To find upper right hand corner add 8 to the y-coordinate of the

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Answers

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12

Step-by-step explanation:

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y = 12

Step-by-step explanation:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] - [tex]b^{2}[/tex]

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Answers

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b

Step-by-step explanation:

i think its b but im not 100% sure

A high-pressure air mass is most likely to bring lower humidity. the correct answer would be an option (A).

What is humidity?

In general, humidity is a measurement of the amount of water vapor in the air. Meteorologists often divide water vapor in the atmosphere into two categories: absolute humidity and relative humidity. Dew point is an exact statistic that helps us comprehend how damp and humid it feels outside.

A high-pressure air mass typically brings lower humidity because high-pressure air masses are associated with clear and dry weather conditions.

The sinking motion of air in a high-pressure system compresses and warms the air, causing the relative humidity to decrease as moisture is squeezed out of the air.

This results in lower humidity levels compared to a low-pressure system, which brings moist air from the surrounding areas.

Hence, the correct answer would be option (A) lower humidity.

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https://brainly.com/question/22069910

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