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


Related Questions

Plz help What is the quotient of 2 1/4 and 5/8
A.5/18
B.9/16
C.3 3/5
D.2 7/8

Answers

C because you’d convert the mixed numbers to 9/4 divided by 5/8, multiply the reciprocal giving u 9/4 x 8/5, then reduce to 9 x 2/5, final answer is 3 3/5

Mikel has a chance to win a trip on a TV game show. All he has to do is win the “Shopping Game". In
this game, Mikel is shown six grocery store items without being shown the prices. He must buy
multiples of items until he has a total between $20 and $21 inclusive. If he doesn't reach $20 with his
first item, he continues buying items and adding to his total, until he either wins by getting an amount
between $20 and $21, or he loses by going over $21 or by buying all items and being less than $20.
First, Mikel buys six bottles of shampoo.
Solve the inequality. Round each answer to the hundredths place.

Answers

Answer:  

$20 <= X < = $21

Step-by-step explanation:

You are told that he loses by going over $21 or by buying all items and being less than $20.

That means the total amount of the items bought must be equal to 20 dollars or 21 dollars or be within the two amount of money.

If Mikel buys six bottles of shampoo,  x represents the total amount for the six bottles of shampoo. Then, the compound inequalities for this expression will be x less than or equal to 21 dollars and x greater than or equal to 20 dollars. That is,

$20 <= X < = $21

URGENT PLEASE HELP ASAP

Answers

Answer:

What do you need help with

Step-by-step explanation:

In a right triangle, the hypotenuse has endpoints XY, shown on the graph.

On a coordinate plane, line X Y has points (negative 4, 2), (negative 1, negative 3).

If Z represents the third vertex in the triangle and is located in the second quadrant with integer coordinates, what is the length of YZ?
3
4
5
6
Mark this and return

Answers

Answer:

5

Step-by-step explanation:

which of the tables represent a function?
PLEASE BE QUIIICCCKKK​

Answers

Answer:

I think its C or A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A function can never have a 'x' with two values.

If you say f(x) = a, then there is only one number 'a' which satisfy. If however, you say f(x) = a & f(x) = b, then it's not a function, since there are two values of f(x).

Following this,

A: x = 3 has two f(x) = 2 & 1, so it's not a function

Similarly you can check for all.

There is only one table which x has a unique value.

Correct B

Note that, f(x) = a & f(x) = b, doesnt represent a function. If it is, then a = b is must.

Also, a function is possible only when it satisfies this. But

f(x) = a, f(y) = a, f(z) = a is possible.

Mr X went shopping with a certain amount of money. He spent Rs. 10(¼) on buying a pen and Rs. 25(¾) in food. He then gave the remaining Rs. 16(½) to his friend. Calculate how much money he initially had.

Answers

Answer:

Rs. 52[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given parameters:

Amount spent on buying a food = Rs. 25.75

Amount spend on buying pen  = Rs. 10.25

Amount given out to friend = Rs. 16.5

Unknown:

The total money he initially had = ?

Solution:

The total money he initially had :

       = amount spent on food + amount spent on pen + amount given to friend

      = Rs. 25.75  + Rs. 10.25  +  Rs. 16.5

       = Rs. 52.5 or  Rs. 52[tex]\frac{1}{2}[/tex]

What is the measure of ∠RQS ?
What is the measure of ∠RQT ?
What is the measure of ∠RQV ?
What is the measure of ∠UQV ?

Answers

Answer:

∠RQS = 19°

∠RQT = 90°

∠RQV = 161°

∠UQV = 91°

Step-by-step explanation:

To get ∠RQV, you know that the line is equal to 180°, so subtract 19° from it:

∠RQV = 180 - 19

∠RQV = 161°

To get ∠UQV, you know that the line is equal to 180°, so subtract 71° and 18° from it:

∠UQV = 180 - 71 - 18

∠UQV = 91°

Hope this helps!

the temperature in Chicago is 38 digresses it is 40 colder in north Dakota what is the temperature in north Dakota

Answers

Answer:

It would -2 degrees in North Dakota.

Step-by-step explanation:

Subtract 40 from 38 to get to -2.

9/25 plz help me on math i need to pass

Answers

Answer:

1) x=2

2) n=0

3) x=-7

4) a=0

5) m=-1

6) p=1

7) p=-6

8) r=3

9) x=-4

10) x=0

bracket is necessary in order of operations​

Answers

Answer:

yeah they are necessary in fact they are the first when you use BODMAS

Using these clues, make a quadilateral. Write the name and each side. What is the perimeter?
1. rectangle with sides 7 feet
2. 7feet
3. 10 feet
4. 10feet

Answers

The name of my shape is a parallelogram. The sides are:

7 feet7 feet10 feet10 feet

The perimeter is 34 feet because:

Step 1: Add smaller groups.

10 + 10 = 20

7 + 7 = 14.

Step 2: Add the two numbers.

14 + 20 = 34.

Hope this answer helps you!

It takes Aaron 5 minutes to squeeze the juice from 3 grapefruits. At this rate, how many minutes will it take him to squeeze the juice from 12 grapefruits?

Answers

20 minutes because 12/3=4 and 4x5=20

x^2/(x+2) + 2 (x+2)/x^2 = 3 solve
please help me with steps​

Answers

this photo which I attached is steps of solution and the answer.

What is the equation of the line with a slope of 2/3 and a y-intercept of 4?

Answers

Answer:

y = 2/3x + 4

Step-by-step explanation:

Consider today's stock listing for Rayje Clothiers, shown below.
52 wk High
225.80
52 wk Low
169.96
Div.
Symbol
RAJ
Close
200.43
Net Change
13.74
25.10
Today you sold the 459 shares of Rayje Clothiers that you purchased yesterday. How much profit did you make?
a $13.98573
11 520.90
3533817

Answers

Answer:

D.6306.66

Step-by-step explanation:

trust me

Answer:

YOUR ANSWER IS D!!!!!!!! ON EGDE

Step-by-step explanation:

JUST TRUST ME IM JUST LIKE YOU SITTING LOOKING FOR HELP AND ANSWER SO COMMON

3x−8≤23 AND −4x+26≥63,

Answers

How you want this solved?
I wrote the answer out for you.

In a standard (x,y) coordinate plane, point M is located at (-4 1/2, 18 1/3) and N is located at (-4 1/2, -2 2/3.) Find the length of segment NM.

Answers

Answer:

[tex] \frac{ - 9}{2} + \frac{9}{2} = 0[/tex]

[tex] \frac{55}{3} + \frac{8}{3} = \frac{63}{3} [/tex]

[tex] \sqrt{ {0}^{2} + \frac{ {63}^{2} }{3} } = \sqrt{ \frac{3969}{9} } = \frac{63}{3} [/tex]

this is the

HELP PLEASE ASAP Which of the following is an irrational number?
21
14
49
60
23

Answers

Answer:

I think it's 14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

its 14 because it can be expressed as the quotient of two integers: 14÷ 1

A square with sides of length eight units, sits on a graph with its lower left hand corner at the origin (0,0). This square is translated five units up, and seven units left. What are the coordinates of the ​upper right hand corner after translation? Explain.


PLEASE HELP ME ON THIS QUESTION. I don’t understand. Only answer if you know because you will receive consequences with monitor.

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

If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y) ⇒ T (x , y) → (x + h , y) If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y) ⇒ T (x , y) → (x - h , y) If the point (x , y) translated vertically up by k units then its image is (x , y + k)→ (x + h , y) ⇒ T (x , y) → (x , y + k) If the point (x , y) translated vertically down by k units then its image is (x , y - k) ⇒ T (x , y) → (x , y - k)

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

∵ Its lower left hand corner at the origin (0,0)

∵ The length of each side of the square is 8 units

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

   lower left hand corner

∴ The lower right hand corner = (0 + 8, 0)

∴ The lower right hand corner = (8, 0)

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

   lower right hand corner

∴ The upper right hand corner = (8, 0 + 8)

The upper right hand corner = (8, 8)

Now Let us find the image of this corner after translation

∵ This square is translated five units up

→ Use the 3rd rule above

∴ Add 5 to the y-coordinate of the point (8, 8)

∴ Its image = (8, 8 + 5)

∴ Its image = (8, 13)

∵ The square is translated seven units left

→ Use the 2nd rule above

∴ Subtract 7 from the x-coordinate of the point (8, 13)

∴ Its image = (8 - 7, 13)

∴ Its image = (1, 13)

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

At a movie theater tickets cost $9 for children and $12 for adults. A group of people bought tickets for a movie and bought 4 adult tickets and paid a total of $102 how many children’s tickets did they buy. Write an equation and solve the word problem.

I know they buy 6 children’s tickets but idk how to write the equation. URGENT HELP!!!!!!!!

Answers

Answer:

102-(12•4)÷9 hope this helps

Answer:

102= 6x+b

Step-by-step explanation:

Javier power walks 4 1/4 miles in 2 hours how many miles does he walk in one hour? ANSWER HAS TO BE IMPROPER AND IN SIMPLEST FORM

Answers

he would walk 2.125 miles or 2 1/8 miles in one hour

Question 3 of 10
If f (x)= 2(x)2 +5(x+2), complete the following statement:
f(2)=
Answer here

Answers

Answer:

f(2) = 28

Step-by-step explanation:

f(x) = 2(x)2 + 5(x+2)

f(2) = 2(2)2 + 5(2+2)

= 4.2 + 5(4)

= 8 + 20

= 28

hope this help you

Answer:

x = 1.6666666667

Step-by-step explanation:

x = 2×2 + 5x + 10

= 2x + 5x + 10

-10= 2x+ 5x - x

-10=6x

1.6666666667 = x

x= 1.6666666667

The data in the table were recorded during an investigation in which a paramecium was placed in a hypertonic salt solution.

A 2-column table labeled Paramecium Contractile Vacuole Contractions has 5 rows. The first column is labeled salt concentration outside paramecium with entries very high, high, medium, low, very low. The second column is labeled contractions per minute with entries 2, 8, 15, 22, 30.

Which statement correctly describes the bars on a bar graph representing the data?

Answers

Answer:

B. Line graph

Step-by-step explanation:

got it right on edge :) have a nice day!!

17. A team won 16 and lost 4 of its.games. What percent of all of its games did
the team win?
(a) 40%
(b) 80%
(c) 75%
(d) 40%
(e) none of these
Please show the work

Answers

Answer: 80%

Step-by-step explanation

4 out of 20 equals 20%

16 out of 20 equals 80%

A high-pressure air mass is most likely to bring A) lower humidity. B) higher humidity. lower temperatures. D) higher temperatures.​

Answers

Answer:

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.

Learn more about the humidity here:

https://brainly.com/question/22069910

#SPJ6

Plz help quick >_< What is the best estimate for 81.9 x 4.6?
O A) 100
OB) 360
OC) 400
OD 8,000

Answers

Answer:

B.

Step-by-step explanation:

When you multiply the two decimals you get 376.74 which is closer to 360 than 400

Answer:
it's b
Step-by-step explanation:
I took the test

Fun fact
During your lifetime, you will produce enough saliva to fill two swimming pools ‍♀️

credit to savannal2250 for the fact

Answers

Answer: wow

               I'd want nothing more than to swim in a pool of saliva.

1 3/4 cups of flour per 1/8 cup of milk

Answers

Answer:

14

Step-by-step explanation:

Divide them.

14. You have to divide them.

HELLLP WILL GIVE 50 POINTSS​

Answers

Answer:

12

Step-by-step explanation:

You need to use the pythagorean theorem. a^2 +b^2=c^2. Label the sides with a, b, and c. The longest side is c, but it does not matter for the other two sides.

Answer:

y = 12

Step-by-step explanation:

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

[tex]c^{2}[/tex] = [tex]35^{2}[/tex] - [tex]37^{2}[/tex]

[tex]35^{2}[/tex] = 1,225

[tex]37^{2}[/tex] = 1,369

1,369 - 1,225 = 144

[tex]\sqrt{144}[/tex] = [tex]c^{2}[/tex]

[tex]\sqrt{144}[/tex] = 12

A store sells new video games for $45 each. Used video games sell for $18 each. Alex is buying 2 new video games and x used video games. Which equation can be used to find y, the total price Alex must pay in dollars?

Answers

Answer:

u = t/18 - 5

Step-by-step explanation:

45n + 18u = t where t is the total price, n is the number of new video games, and u is the number of used video games

plug in two:

90 + 18u = t

solve in terms of u:

18u = t - 90

u = t/18 - 5

can i get a thanks and brainliest please?

Other Questions
Why is it important to get a resting respiratory rate as a vital sign rather than a rate while a person is active? HELP!!!! (zoom in to see it better) Easy questions for 25 points. What is something new you learned recently?What is something that made you happy recently?What is something that upset you and how did you respond? 123Use the order of operations to fin3 x 15 + 3 x 20 - 35 = n write the difference between Power and energy Determine if the statement is true or false.The terms hue and color can be used interchangeably.a. Trueb. False WHO is more smarter u or your perants Write the equation in vertex form using the following information: vertex (4, -6) and a=1.Submit How did Thomas Paine contribute to the American Revolution?A. He formed the social contract theory, which encouraged that failed governments be overthrown.B. He developed a new political system in which citizens select their own government.C. He introduced colonists to the theory of natural rights such as life, liberty, and happiness.D. He revealed the corrupt nature of the British government in his pamphlet Common Sense. Solve the following equation 5(3x+5)=3(5x+1) Classify the system of equations.2x = 5 - y-3+y = -2x + 3Click on the correct answer.coincidentintersectingparallel people hugged, the less likely they were to get sick, evenamong individuals who frequently had tense interactions. In other words, both social support and hugging prevented against illness. The same lead researcher has previously shown that the more diverse types of social ties a person has, such as with friends, family, coworkers, and community, the less susceptible to colds they are.The phrase "friends, familycoworkers, and community" 53-54) primarily serves to B. clarity that only some social connections are beneficial to health. A. Illustrate the kinds of social ties to which the author is referring C. describe the groups of participants in the researcher's previous study D. provide examples of people from whom readers might be exposed to Mness . Commas with Compound Sentences Practice help please How did the printing press impact Europeans? Use two specific examples to explain your answer. Factor and find all zeros f (x) = x 4 + 5x 3 + 4x 2 + 20x Please help me quickly please!! What is the term for a line that permits the writing of pitches outside the staff?A. grand staffB. staff linesC. clefsD. ledger lines Read this excerpt from chapter 2 of The Scarlet Letter.Lastly, in lieu of these shifting scenes, came back the rude market-place of the Puritan settlement, with all the townspeople assembled and levelling their stern regards at Hester Prynne,yes, at herself,who stood on the scaffold of the pillory, an infant on her arm, and the letter A, in scarlet, fantastically embroidered with gold thread, upon her bosom!What is the effect of the underlined words in this excerpt?They impart a mood of distress and shame.They impart a mood of nostalgia and self-reflection.They provide a visual image of the violent setting.They provide historical insight into the Puritan setting. A school has $15,000 to spend on computer monitors. The school plans to purchase 200 monitors for $89 each. A teacher completes the calculations below and concludes that the school has enough money to buy the monitors. 200 89 = (200 8) + (200 9) = 1,600 + 1,800 = 3,400 WHAT IS COUNT DOOKUS HAIR COLOR