A phone company has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 410 minutes, the monthly cost will be $71.50. If the customer uses 720 minutes, the monthly cost will be $118. Find a linear equation for the monthly cost of the cell plan as a function of x, the number of monthly minutes used.

Answers

Answer 1

Answer:

Linear equation for the monthly cost of the cell plan is [tex]10+0.15x[/tex]

Step-by-step explanation:

Let u denotes a flat monthly fee and v denotes amount charged per minute.

As the monthly cost is $71.50 if a customer uses 410 minutes,

[tex]71.50=u+410v[/tex]     (i)

As the monthly cost is $118 if a customer uses 720 minutes,

[tex]118=u+720v[/tex]       (ii)

Subtract (i) from (ii)

[tex]118-71.50=u+720v-u-410v\\46.5=310v\\v=\frac{46.5}{310}\\ v=0.15[/tex]

Put [tex]v=0.15[/tex] in (i)

[tex]71.50=u+410(0.15)\\71.50=u+61.5\\u=71.50-61.5\\u=10[/tex]

As x denotes the number of monthly minutes used,

linear equation for the monthly cost of the cell plan is [tex]10+0.15x[/tex]


Related Questions

Karen buys a sweater for $80. The sales tax in her state is 7%. What is the total amount Karen will pay for the sweatshirt, including sales tax?

Answers

Answer:

Karen will pay $85.6!

Step-by-step explanation:

7% of 80 is 5.6!

80+5.6=85.6!

Find the remainder using long division.

3,812 ÷ 5

Answers

Answer:

762 r 2

Step-by-step explanation:

3,812 ÷ 12

Divide:

3,812 ÷ 12

0762 r 2

762 r 2

Hope you learned from this answer!

Answer:

762 With a remainder of 2

Step-by-step explanation:

(if u need more with remainders i got a good site for you to look at)

anyway, when you do the math you will be left with a 2,

Can someone help me please

Answers

Answer:

  DNE

Step-by-step explanation:

The left limit is +1; the right limit is -1. These are different, so the limit does not exist.

A given recipe for bread calls for 3 parts liquid for every 5 parts flour. Represent this ratio as a decimal.

Answers

Answer:

0.6

Step-by-step explanation:

3:5

3/5

0.6

During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by the equation s = 10│x - 4│+ 50 where s represents the sound level in decibels and x represents the number of measures of music played. At what number(s) measures played would the sound level be at 80 decibels?

Answers

Answer:

The sound level would be at 80 decibels at 1 or 7 number of measures played

Step-by-step explanation:

Equations with Absolute Values

We have the function s to represent the sound level in decibels:

[tex]s = 10|x - 4|+ 50[/tex]

Where x is the number of measures of the music played.

We are required to find the value of x that makes s=80 decibels. We have to find the equation:

[tex]10|x - 4|+ 50 =80[/tex]

Subtracting 50:

[tex]10|x - 4| =80-50[/tex]

[tex]10|x - 4| =30[/tex]

Dividing by 10:

[tex]|x - 4| =30/10=3[/tex]

[tex]|x - 4| =3[/tex]

For the absolute value be equal to 3, its argument could be positive or negative:

[tex]x-4=3[/tex]

Or

[tex]x-4=-3[/tex]

This leads us to two solutions:

[tex]x=3+4=7[/tex]

x=7

Or

[tex]x-4=-3[/tex]

[tex]x=4-3=1[/tex]

x=1

The sound level would be at 80 decibels at 1 or 7 number of measures played

Dominic is going to drive from his house to City A without stopping. Dominic's house is 300 miles from City A and he plans to drive at a speed of 50 miles per hour. Write an equation for D, in terms of t,t, representing Dominic's distance from City A t hours after leaving his house.

Answers

Answer:

D= −50t + 300

Step-by-step explanation:

Since Dominic lives 300 miles from City A, when he starts his trip (at time

t=0), his distance from City A must be 300 miles, meaning D=300 when

t=0, which is the y−intercept.

                                    (0,300) is a point on the graph

Since Dominic will drive 50 miles per hour, the Dominic's distance from City A decrease 50 miles for each hour of driving, making the slope of D equal to

−50.

                                                   Slope=−50

                                           

                          equation of the line: D= −50t + 300

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The equation for D, in terms of t, represents Dominic's distance from City A t hours after leaving his house.

D = 300 - 50t

Where t= number of hours

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 4 is an equation.

We have,

Distance between Dominic's house and City A = 300 miles

Speed = 50 miles per hour.

The equation for D, in terms of t, represents Dominic's distance from City A t hours after leaving his house.

D = 300 - 50t

Where t= number of hours

Now,

We can see that,

At t = 1, D = 300 - 50 = 250 miles.

At t = 2, D = 300 - 100 = 200 miles.

Thus,

The equation for D, in terms of t, represents Dominic's distance from City A t hours after leaving his house.

D = 300 - 50t

Where t= number of hours

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ5

What is the time that is 11 hours and 15 minutes after the time shown?

Answers

Answer: 9pm

Step-by-step explanation:

Answer:

8:45

Step-by-step explanation:

Oscar ordered food for a party.
Oscar ordered 4 trays of tacos for $65 each.
He also ordered 3 gallons of tea for $10.50 each.
The restaurant charges $25 for delivery of the order.
What is the total amount of money Oscar will pay the restaurant?
O A. $262.50
OB. $553.50
O C. $100.50
O D. $316.50

Answers

Answer:

100.50

Step-by-step explanation:

The answer is D, or $315.50.

IF right u can get brainlist

Answers

Answer:

d

Step-by-step explanation:

A rectangle's length is 7 less than 3 times it's width. If the perimeter of the rectangle is 170 inches, what is the width, length and area of the rectangle?

Answers

Answer:

Length: 69

Width: 16

Area: 1104

Perimeter: 170

Explanation:

(69 + 69) + (16 + 16) = 138+32= 170

Can someone help plz!

Answers

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

HELP WITH WHAT

Step-by-step explanation:

marco is 6 feet 3 inches tall. There are 2.54 centimeters in 1 inch. What is marcos height in centimeters.

Answers

Answer:

Hi

Step-by-step explanation:

Answer:

The answer is 190.5cm

Step-by-step explanation:

so solve this problem, we first need to convert marco's height to inches.

there are 12 inches in 1 foot.

multiply.

[tex]\frac{6ft}{1} *\frac{12inch}{1ft} \\72inch[/tex]

notice how ft cancel out because they are in opposite positions of the fraction.

add 72+3 to get marco's height in inches.

[tex]72+3\\75[/tex]

marco is 75inches.

with this information, we can solve for his height in cm.

write an equation.

[tex]\frac{75inch}{1} *\frac{2.54cm}{iinch}[/tex]

solve.

[tex]\frac{75inch}{1} *\frac{2.54cm}{iinch}\\190.5cm[/tex]

marco is 190.5centimeters

hope this helps!

16/19 as a decimal rounded to the nearest 10th

Answers

Answer: 0.84

16/19 = 0.8421....

0.8421 rounded to the nearest tenth is 0.84.

The answer is 0.84.

Use a proportion to convert the measurement. Round your answer to two decimal places.
175 centimeters=____inches

Answers

Answer:

68.89 inches

Step-by-step explanation:

2.54 cm/in

175 divided by 2.54

For spirit week at a local high school, students were encouraged to wear their school colors of green and white. 1,200 students wore their school colors while 300 students did not wear green and white. What percent of the school population wore their school colors?

Answers

Answer:

80%

Step-by-step explanation:

We are told that 1,200 students wore their school colors of green and white.

Also, we are told that 300 students did not wear school colours green and white.

Thus, total number of students = 1200 + 300 = 1500

Thus;

percent of the school population who wore their school colors is; (1200/1500) × 100% = 80%

which quotient is larger 0.63÷× or 0.55÷3​

Answers

Answer:

Depends

Step-by-step explanation:

How much is x worth?

Answer:0.63

Step-by-step explanation:

I only need help for 6

Answers

Step-by-stepOn the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning

Answer:

I think CE is 42

Step-by-step explanation:

Take the x+3 and add the 3x-12 to find x. you should get x= -6. so then you d the same problem again but this time replace the x with -6 and you should get that your answer is 42.

Find the midpoint of the segment with the given endpoints

(-9,-9) and (7,5)

Answers

Answer:

(-1, -2)

Step-by-step explanation:

Given points

(-9,-9) and (7,5)

Midpoint is

((-9 + 7)/2, (- 9 + 5)/2) =(-2/2, -4/2) =(-1, -2)

-3(4n + 1) + 3(8n 8) = 22​

Answers

So I don’t know if you meant 8n+8 or 8n-8

So if 8n+8
N= 1/12

If 8n-8
N= 4 1/12

Nikki can run at an average speed of 8 2 5miles an hour. At this rate, how many miles would she travel in 2.5 hours?

a. 10.9 miles b. 10.75 miles c. 16.8 miles d. 21 miles

Answers

Answer:

21

Step-by-step explanation:

8.4x2.5=21

Nikki would run 21 miles in 2.5 hours.

I'd appreciate a brainliest, and I hope this helps. :)

Determine the equation of the line shown in graph:

Answers

Option A is correct answer, X = 3

6x-2x=24 HELP PLSSSSSS

Answers

Answer:

x=6

Step-by-step explanation:

Basically since 6x and 2x have like terms you subtract the 2x from 6x.

6x-2x=4x

Then you divide 4 from 24.

4x=24

4x/4 = 24/4

x=6

Answer:

6x - 2x = 24

4x = 24

4x ÷ 4 = 24÷4

x = 6

Step-by-step explanation:

First of all subtract 2x from 6x which will give you 4x = 24

since you're finding x or want to make x the subject you are to divide both sides by 4, so

4x ÷ 4 will give you x, since both 4's will cancel out giving you x =, then you divide 24 by 4 also. 24 ÷ 4 will give you 6, so x = 6.

Very simple

6a+5a=-11
Multi step equations
Show worm

Answers

Answer:

a = -1

Step-by-step explanation:

First, combine like terms. Like terms are terms with the same amount of the same variables.

6a + 5a = -11

(6a + 5a) = -11

(11a) = -11

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Divide 11 from both sides:

(11a)/11 = (-11)/11

a = -11/11

a = -1

a = -1 is your answer.

~

Somebody please help!

Answers

Answer:

see below

Step-by-step explanation:

4xy+ x+ 2xy

Combine like terms which are 4xy and 2xy

6xy+x

Answer:

6xy + x

Step-by-step explanation:

This is the answer because:

1) First, look at all the combine terms

Combine Terms: 4xy and 2xy

2) Since we have a + sign, we have to add 4xy + 2xy which equals 6xy

3) Finally, we are left with 6xy + x

Therefore, the answer is 6xy + x

Hope this helps! :D

Which of the following are measurements for rectangles that are similar to a rectangle with a width of 10 and a length of 20?
check all that apply ✔
A. 5 and 10
B. 17 and 34
C. 2.5 and 6
D. 15 and 30
E. 14 and 30 ​

Answers

Same a and d I think

Answer: A, B, 17 and 34

Step-by-step explanation:



Solve for y: 5x-4y=28

Answers

Answer:

y = [tex]\frac{5}{4} x - 7[/tex]

Step-by-step explanation:

Step 1: Add -5x to both sides.

5x − 4y + −5x = 28 + −5x

−4y = −5x + 28

Step 2: Divide both sides by -4.

[tex]\frac{-4y}{-4} =\frac{-5x +28}{-4}[/tex]

y = [tex]\frac{5}{4}x -7[/tex]

Answer:

y=-  -5/4x-7 go to question 7

Step-by-step explanation:

y=-  (-5x+28)

         4

then simplify if you need more steps i will show

What is the measure of the complement of each angle? 87 degrees

Answers

Answer:

Step-by-step explanation:

Hi there !

complementary angles = the sum of angles is 90°

a + b = 90°

a = 87°

b = 90° - 87°

b = 3°

Good luck !

answer , NOW.

PLS
I
NEED
SOMEONE
TO
ANSWER.
NOW.

Answers

Answer:

A. 6oz

Step-by-step explanation:

Beause thats the lowest number on the chart.

Answer: A. 60 oz

Step-by-step explanation: I think it would be A because 0.89 is smaller than C, D, and B.

Each row in a classroom has 3 girls and 2 boys. There people 4 rows in that
class. What is the number of students in that class.
I got 20 as my answer is that right?

Answers

Answer:

yep that's right

Step-by-step explanation:

go see

I need Help please help with X - 7.6 = 18.2

Answers

Answer:

x = 25.8

Step-by-step explanation:

Add 7.6 to each side, so it now looks like this: x = 25.8

I hope this helps!

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