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

A ferris wheel can accommodate 70 people in 20 minutes; how many people could ride the ferris wheel in 4 hours?

Proportional Question

Answers

Answer:

840

Step-by-step explanation:

if it can hold 70 in 20 minutes it can hold 210 in 1 hour and 4x210 equals 840

Enter the correct answer in the box.

What is the factored form of this expression?

64x^3 - 125

Write all factors in standard form.

Answers

9514 1404 393

Answer:

  (4x -5)(16x² +20x +25)

Step-by-step explanation:

The factoring of the difference of cubes has a standard form:

  a³ -b³ = (a -b)(a² +ab +b²)

Here, your knowledge of the cubes of small integers tells you that ...

  64 = 4³

  125 = 5³

So, in the above, we have ...

  a = 4x, b = 5

and the factored form is ...

  (4x -5)(16x² +20x +25)

What are school of fish ?​

Answers

Answer:

if the fishes stay together for some reasons then it is shoaling if the group is swimming in same direction then it is schooling

the height of one mountain is 199 yards. Another mountain is 6 times as tall.
What is the height of the second mountain?

Answers

Answer:

1194

Step-by-step explanation:

because 199 is the height of the first mountain so just times that number by 6 to get the second mountains height.

I need the answer real quick will someone help me

Answers

More info plz there is no context

I need help please.
M a t h

Answers

Answer:

option 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here are the conditions.

The car must go at least 55 mph. That means that 55 is included. Use ≥

The car's speed must be greater than 55. That means s>55 Notice the open end of the arrow is towards the s. The point is towards 55. The large end must be towards the largest entity (s in this case).

The answer uses ≥

The answer is s ≥  55

What is five times seven divided by nine

Answers

Answer:

3.9 or 3.88888888889

Step-by-step explanation:

5*7=35

35/9=3.88888888889=3.9

Answer:

5*7 = 35 / 9 =3

Step-by-step explanation:

because it is the closest

+54- -75 what the answer

Answers

Answer:

-21

Step-by-step explanation:

positive 54 decreased negative 75. The answer is -21. why? Because the negative variables is higher than the positive variable in the given.

Answer:

129

Step-by-step explanation:

+54- -75

54+75=129

When you are subtracting 54- -75, the symbols will automatically change to postives.

You could also use the method:

Keep, change, change

54          +            +75

HELP I ONLY HAVE 5 MINUTES TO TURN THIS IN, ILL MARK U AS BRAINLIEST

Answers

Answer:

That ain't gonna fit in the box because the side is 19.3cm and the side of the box is 15 cm,also its to tall

Samual has a collection of 80 marbles. in the collection, 20% of the marbles are red and the rest are blue. which statement accurately describes Samuels marble collection

Answers

Answer:

16

Step-by-step explanation:

Help with these math questions grade 12

Answers

Answer:

1. 15.1%

2. 8.3%

3. 12%

4. 25%

Step-by-step explanation:

1.

percent change = (new number - old number)/(old number) * 100%

percent change = (21300 - 18500)/(18500) * 100%

percent change = 15.1%

A positive percent change is a percent increase.

Answer: The percent increase is 15.1%.

2.

percent change = (new number - old number)/(old number) * 100%

percent change = (298000 - 325000)/(325000) * 100%

percent change = -8.3%

A negative percent change is a percent decrease.

Answer: The percent decrease is 8.3%.

3.

percent change = (new number - old number)/(old number) * 100%

percent change = (110 - 125)/(125) * 100%

percent change = -12%

A negative percent change is a percent decrease.

Answer: The percent decrease is 12%.

4.

percent change = (new number - old number)/(old number) * 100%

percent change = (1500 - 2000)/(2000) * 100%

percent change = -25%

A negative percent change is a percent decrease.

Answer: The percent decrease is 25%.

50+ POINTS I NEED HELP

Answers

Answer:

21 yard line

Step-by-step explanation:

Ok we start out on the 20 yard line, we need to add the yards together.

We add the 6 to the 20:

20+6=26

Then we subtract the 8 yards from our new 26:

26-8=18

Then we add the 18 by 3:

18+3=21

Therefore,

The Answer is 21 Yard Line.

Hope I could help, If you need some more assistance ask me!

Answer:

2 yard

Step-by-step explanation:

hola soy dora

Can someone answer this for me?

Answers

Answer:

D 26

Step-by-step explanation:

154+154=308

308-360=52

52 divided by 2

=26

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

I'm not sure if my way of doing it is the way your teacher wants it solved but I would do...

[tex]150+150+x=360[/tex]

so now we just have to solve the equation...

[tex]308+x=360\\x=52[/tex]

ok and now before you judge me that still isn't the answer we still have to divide the 52 by 2 because 52 is the sum of both the smaller angles, so you'll get...26°

choice D

8a + 3b - 10 + c^2

When a = 2, b = 5 and c = 4

Answers

Answer:

the answer is 37

Step-by-step explanation:

plug in numbers given: 8(2) - 3(5) -10 +(4)^2

simplify: 16 - 15 - 10 + 16

combine like terms = 37

Answer:

37

Step-by-step explanation:

8*2 +3*5- 10+ [tex]4^{2}[/tex]

16+ 15-10+16

47-10

37

5.78575184279 rounded to the nearest whole number

Answers

Answer:

6

Step-by-step explanation:

5.78575184279 rounded to the nearest whole number is 6.

To round off the number 5.78575184279  to the nearest whole number.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is rounding of values?

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
Number = 5.78575148279
Since the number after decimal place is .7 which is close to 1.0 so the round of the number gives 6.

Thus, 5.78575184279 rounded to the nearest whole number is 6.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2


How do you make comparisons between an equation and a graph?

Answers

Answer:

here is a hint

Step-by-step explanation:

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

For linear equation,

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Therefore, compare slope of an equation and slope of a line on graph and compare y-intercepts.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

-5 -2q = 9


please help me

Answers

Answer:

q = -7

Step-by-step explanation:

-5 - 2q = 9

Add 5 to both sides of the equation.

-2q = 14

Divide both sides by -2.

q = -7

The double number line shows the approximate number of ounces in a certain number of pounds:

Based on the number line, about how many ounces are there in 10 pounds?
Group of answer choices
144 ounces
160 ounces
176 ounces
192 ounces

Answers

Answer:

B- 160

Step-by-Step Explanation:

I did it before and I was rite, so trust me

Answer:

B 160

Step-by-step explanation:



Find the Error A large box of spaghetti noodles contains 3 pounds and costs $2.40. A student said the unit cost is $1.20 per pound. Complete
the statement to explain why the student was incorrect and find the correct answer.
The student found the unit cost for 2 pounds of noodles, not 3 pounds. To find the unit cost for 3 pounds, divide the total cost, $ _______
by the number of pounds, _______
So, the cost per pound is $ _______

Answers

Answer: A) $2.40 B) 3 C) $0.80

A, B, and C are in order of the blanks.

Answer:

The student found the unit cost for 2 pounds of noodles, not 3 pounds. To find the unit cost for 3 pounds, divide the total cost, $2.40

by the number of pounds, 3 lbs

So, the cost per pound is $0.80

Step-by-step explanation:

2.40 divided by 3 is $0.80

I hope this helped, please mark Brainliest, thank you!

Pls help ahh I suck at ka ty

Answers

Answer:

alana makes $15 an hour

y= $15x

Step-by-step explanation:

y equals the total amount she makes

x equals the amount of hours she works

The point where two rays meet is called a

Answers

Vertex Vertex Vertex

Answer:

An angle can be formed when two rays meet at a common point. The rays are the sides of the angle. The point of the end of two rays is called the vertex.

Step-by-step explanation:

Plz answer them they are timed

Answers

It’s d because they didn’t give you b

rounded to the nearest thousandth the number 0.00006132 is___​

Answers

Answer:

to the right of the decimal is tenths > hundredths > thousandths so since at the thousands place the following number is 0 you round down so the answer is 0

Step-by-step explanation:

Which equation is NOT written in slope-intercept form?

Y= -9x
2x-5=2y+14
Y=7x+3
Y=-3

Answers

Answer:

b

Step-by-step explanation:

:)

B.

Slope intercept form is y=mx+b and B is not written like this

Which function corresponds to the table?
A) y = 3x - 2
B) y = 2x + 3
C) y = -2x + 3
D) y = -3x + 2

Answers

Answer:

c is the correct answer

Please help! This is hard. Its number 2.

Answers

Why is the picture upside down I can’t see it clearly

Answer:

4

Step-by-step explanation:

The ratio is 2 H for 1 O. So, since there is 8 H, there will be half the amount of O atoms or 4 O atoms.

HURRY!!!! I need help with this asap!!!!!
use two unit multipliers to convert:
A. 6 miles to inches
B. 20 square feet to square inches

Answers

Answer:

380,160 and 2nd one should be 240

Step-by-step explanation:

Ms. Bixby needs to make 11 pairs of butterfly wings for costumes for a play. Each
pair of wings is made with 12 를 yard of fabric. The fabric costs $6 per yard.
Apply properties of multiplication to find the total cost of the fabric.

Answers

Answer:

792

Step-by-step explanation:

Sorry if im wrong :)

Jessica is riding a taxi and is being charged the same rate
per mile traveled
• After 1 mile, she owes $8
• After 2 miles, she owes $14
• After 3 miles, she owes $20
Which function represents the amount she owes after riding
n miles?
Select one:

A: A(n) = 6 - 8

B: A(n) = 6n + 14

C: A(n) = 8

D: A(n) = 6n + 2

Answers

Answer:

D

Step-by-step explanation:

Answer:

D: A(n) = 6n + 2

Step-by-step explanation:

A is incorrect because: A(1)= 6(1)-8 is equal to -2 not 8

B is incorrect because: A(1)= 6(1)+14 is equal to 20 not 8

C is incorrect because: A(2)= 8(2) is equal to 16 not 14

D is correct because: A(1)= 6(1)+2 is equal to 8 which is correct,

A(2)=6(2)+2 is equal to 14 which is correct,

A(3)=6(3)+2 is equal to 20 which is also correct

Hope this helps

Select all polynomials that are divisible by (x-1)(x−1)left parenthesis, x, minus, 1, right parenthesis. Choose all answers that apply: Choose all answers that apply: (Choice A) A A(x)=3x^3+2x^2-xA(x)=3x 3 +2x 2 −xA, left parenthesis, x, right parenthesis, equals, 3, x, cubed, plus, 2, x, squared, minus, x (Choice B) B B(x)=5x^3-4x^2-xB(x)=5x 3 −4x 2 −xB, left parenthesis, x, right parenthesis, equals, 5, x, cubed, minus, 4, x, squared, minus, x (Choice C) C C(x)=2x^3-3x^2+2x-1C(x)=2x 3 −3x 2 +2x−1C, left parenthesis, x, right parenthesis, equals, 2, x, cubed, minus, 3, x, squared, plus, 2, x, minus, 1 (Choice D) D D(x)=x^3+2x^2+3x+2D(x)=x 3 +2x 2 +3x+2

Answers

Answer:

Step-by-step explanation:

For us to be able to determine the polynomials that are divisible by (x-1), this means that x-1 must be a factor for the functon to be able to divide any of the polynimial.

Since x-1 is a factor, we can get the value of x

x-1 = 0

x =0+1

x = 1

Next is for to substitute x - 1 into the polynomial and see the ones that will give us zero

For A(x)=3x^3+2x^2-x

A(1) = 3(1)^3+2(1)^2-(1)

A(1) = 3+2-(1)

A(1) = 5-1

A(1) = 4

Since A(1) ≠ 0, then x-1 is not divisible by the polynomial function.

For B(x)=5x^3-4x^2-x

B(1)=5(1)^3-4(1)^2-1

B(1)=5-4-1

B(1)=1-1 = 0

Since B(1) = 0, hence x-1 is divisible by 5x^3-4x^2-x

For the polynomial  C(x)= 2x^3-3x^2+2x-1

C(1)=2(1)^3-3(1)^2+2(1)-1

C(1)=2-3+2-1

C(1)= -1+1

C(1)= 0

Since C(1) = 0, hence x-1 is divisible by the

For the polynomial D(x)=x^3+2x^2+3x+2

D(1)=1^3+2(1)^2+3(1)+2

D(1)=1+2+3+2

D(x) = 8

Hence the polynomial D(x) is not divisible by x-1

Hence the correct options are B(x)=5x^3-4x^2-x and 2x^3-3x^2+2x-1

Answer:

B(x) and C(x)

Step-by-step explanation:

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