The Clear-Bell Cell phone company has a plan that costs
customers $29.99 for a monthly service fee plus 3¢ per minute used.

a. Write a linear equation to model this situation.
b. Identify the slope and the y-intercept. Interpret the slope and y-intercept in the context of this problem.
c. If Polly talks for 136 minutes, how much would her cell phone bill be (excluding taxes)?

Answers

Answer 1

Answer: a. y=0.03x+29.99

b. Slope: 0.03. $0.03 charged every minute Clear-Bell Cell phone is used.

y-int: (0, 29.99). Total cost per month when phone isn't being used.

c. $34.07

Step-by-step explanation:

a. p=Cell phone plan. m=minutes used for phone.

3¢=$0.03

p=29.99+0.03m

y=0.03x+29.99

b. Slope: 0.03. $0.03 charged every minute Clear-Bell Cell phone is used.

y=0.03(0)+29.99

p=29.99 ==> y-int: (0, 29.99). Total cost per month when phone isn't being used.

c. y=0.03(136)+29.99

y=4.08+29.99

y=$34.07


Related Questions

in a random sample of 66 residents of the state of maine, the mean waste recycled per person per day was 1.31.3 pounds with a standard deviation of 0.450.45 pounds. determine the 95�% confidence interval for the mean waste recycled per person per day for the population of maine. assume the population is approximately normal. step 2 of 2 : construct the 95�% confidence interval. round your answer to one decimal place.

Answers

The confidence interval lies between (0.827754, and 1.77225).

What is confidence interval ?

An area created using fixed-size samples of data from a population( sample space) that follows a particular probability distribution is known as a confidence interval. A named population statistic is erected into the interval with a specified probability. A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95 confidence position is the most popular, still other situations, similar to 90 or 99, are sometimes used when calculating confidence intervals. A confidence interval is a set of figures that we're nicely confident represent our true value. A named population statistic is erected into the interval with a specified probability.

Here, sample mean x = 1.3

sample standard deviation s = 0.45

and sample size n = 6

The 95% confidence interval for the mean waste recycled

= 1.3 - [tex]\frac{0.45}{\sqrt{6} }[/tex] X  [tex]t_{0.025'}[/tex] 1.3 +[tex]\frac{0.45}{\sqrt{6} }[/tex] X [tex]t_{0.025'}[/tex]

= 1.3 - [tex]\frac{0.45}{\sqrt{6} }[/tex] X 2.57058 , 1.3 +[tex]\frac{0.45}{\sqrt{6} }[/tex]X  2.57058

= (0.827754, 1.77225)

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translate the following verbal statement into an algebraic equation and then solve: use x for your variable. the quotient of three more than a number and six is nine.

Answers

Answer:

2x)\9

Step-by-step explanation:

Answer:

X+3/6=

Step-by-step explanation:

Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. They set up the situation with the equation below, where x is the number of pairs of pants. Is there a situation in which they pay the same amount for their purchases? Select all the statements that correctly represent this situation. 17.95x + 24 = 18.95x + 18

Answers

Cost of Kersey and Jeana is reported. x=6 that is when they each purchase a sweater and six pairs of pants.

Given that,

Kelsey spends $24 on a pullover and $17.95 each on numerous pairs of uniform pants. At a different store, Jeana purchases a sweater for $18 and several pairs of uniform pants for $18.95 apiece.

Cost for Kersey is reportedly;

$17.95 per pair of pants

$24 for each sweater

If there are x pants.

The overall price for Kersey is then;

17.95x + 24

Cost for Jeana, we are informed, is;

$18.95 for each pair of pants

Sweater price: $18

If there are x pairs of pants.

Therefore, Jeana's overall cost is;

18.95x + 18

In the following circumstances, their overall cost will be equal:

17.95x + 24 = 18.95x + 18

18.95x - 17.95x = 24 - 18

x = 6

Therefore, x=6 that is when they each purchase a sweater and six pairs of pants.

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A rental car company charges $37. 50 per day to rent a car and $0. 05 for every mile driven. Alyssa wants to rent a car, knowing that: she plans to drive 100 miles. She has at most $200 to spend. Write and solve an inequality which can be used to determine xx, the number of days alyssa can afford to rent while staying within her budget

Answers

Answer: 4 Days

Step-by-step explanation:

To drive a 100 miles you would do 0.05*100=5

it cost 37.50 everyday and if you add the 5.00 it would cost to drive the 100 miles you get 42.50-200=157.50

37.50*4=150+42.50=192.50

she could rent the car for 4 days

What is the value of the following expression?: 6+32-5-7
O a. 44
O b. -12
C. 398
O d. 68

Answers

Answer:

44

Step-by-step explanation:

The answer to your question is A.) 44

Two rectangular solar panels, A and B, are mathematically similar. Panel A has a diagonal of 90 centimetres and an area of 4020 square centimetres. A 90 cm B 125 cm A salesman claims that panel B, with a diagonal of 125 centimetres, will be double the area of panel A. Is this claim justified?​

Answers

I just need the points gggggggg

a have a box of d chocolates. i eat 7 of them. how many chocolates are left?

Answers

Answer:

d-7 would be the equation. If you don't know what D is, use the variable "D"

Anna is saving some money. She started with $350 and continues to save an additional $25 a month. 4 Write an algebraic expression that represents the total amount that she saves after m months.​

Answers

Answer:

y = 25m + 350

Step-by-step explanation:

She already has 350 and every month she will add an additional 25

Answer:

Anna saving her money from m months is 375

What does 1 whole 1/5 - 2 wholes 3/4 =

Answers

The answer to your question is -1 and 11/20. See image for step by step analysis.

Alva has 4 packs of pencils. There are 15 pencils in each pack. She wants to put an equal number of pencils into 6 pencil pouches. Which expression would show how many pencils can go in each pencil pouch?

4÷15×6

(15×4)÷6

(15÷4)×6

4×15×6

Answers

Option 2 is correct (15x4)/6

How is the graph of the parent function y=1/x transformed to create the graph of y=-1/3x?
It is horizontally stretched by a factor of 3 and reflected over the y-axis.
A. It is translated 3 units down and reflected over the x-axis.
B. It is horizontally compressed by a factor of 3 and reflected over the x-axis.
C. It is translated 3 units down and reflected over the y-axis.
D. It is horizontally stretched by a factor of 3 and reflected over the y-axis

Answers

It is horizontally compressed by a factor of 3 and reflected over the x-axis.

How to determine the transformation?

The parent function is given as:

y = 1/x

When the above function is compressed by a factor of 3, the function becomes

y = 1/3x

Next, when the above function is reflected over the x-axis or the y-axis, the function becomes

y = -1/3x

Hence, the transformation is (b) it is horizontally compressed by a factor of 3 and reflected over the x-axis.

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Answer:

The qzz answers to whole thing for "transformations of functions" on Edg. is the following:

1) B

2) A

3) A

4) B

5) B

6) C

7) C

8) A

9) D

10) B

Step-by-step explanation:

Trust me! I got 100% :)

13 1. What is the volume of the cone shown below?

5 cm

13 cm

Note: The figure is not drawn to scale.

Answers

the volume of the cone when radius is cm  and height is 13 cm is 340.34 cm³

What are derived units?

Defining a derived unit is the process of deriving a measurement unit from one or more of the seven base units of the International System of Units (SI). There are two types of derived units: dimensionless and the product of base units.

Here, the given data for cone are :

radius of base r = 5 cm = 0.05 m

height of cone h = 13 cm = 0.13 m

Now, the volume V of cone is given by :

V = 1/3 πr²h

Now, finding the volume of cone by substituting the values in above equation :

V = 1/3 πr²h

V = 1/3  π x (5)² x 13

V = 340.34 cm³

Therefore, the volume of the cone is 340.34 cm³

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Contains (5, 8) and is parallel to the graph of y = 7x - 6.

Answers

The required equation of the line is y = 7x–27.

The general equation of the line is y = mx + c.The given equation of the line is y = 7x6.The slope (m) of the line is 7.The slope should be the same for another line to be parallel to this one.The required equation of line is of the form y = 7x + c.We know that the required line passes through the given point(5, 8).So, (5, 8) should satisfy the equation of the line.y = 7x + c8 = 7*5 + c8 = 35 + cc = 27Thus, the required equation for the line is y = 7x27.

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Express the following volume as a monomial.
9m²n⁴​

Answers

Answer:

3^2m^2n^4

Step-by-step explanation:

3^2m^2 * n^4

For g (x)=x^2 + 6 find g(2)

Answers

Answer:

plug in the 2 for x so its 2^2+6 2^2 is 4 plus 6 is 10

Step-by-step explanation:

How do I do this? How do I get from figure F to figure onto figure G?

Answers

Answer:

The answer would be to flip figure F across the y axis then across the x axis. It would then lie on figure G.

Step-by-step explanation:

MARKING BRAINLEIST IF CORRECT

Answers

Answer:

d ; x = 36 degrees

Step-by-step explanation:

Straight angle = 180 degrees

The Acute angle = 2x

The Obtuse angle = 3x

2x + 3x = 180

5x = 180

x = 180/5

x = 36

Can someone please help mee (20 points + brainliest!!!)

Answers

Answer:

m = - 1 and b = - 4

Step-by-step explanation:

the equation of a line in slope= intercept form is

y = mx + b (m is the slope and b the y- intercept )

here slope m = - 1 , then

y = - x + b ←  is the partial equation

to find b substitute (- 3, - 1 ) into the partial equation

- 1 = 3 + b ⇒ b = - 1 - 3 = - 4

y = - x - 4 ← equation of line

with m = - 1 and b = - 4

Two circles C₁ and C₂ have their centres at the point (3,4) and touch a third circle, C3.
The centre of C3 is at the point (0,0) and its radius is 2.
What is the sum of the radii of the two circles C₁ and C₂?

Answers

The sum of the radii of the two circles C₁ and C₂ is 4 units

Given data

Two circles C₁ and C₂ have their centres at the point (3,4)

The centre of C3 is at the point (0,0) and its radius is 2

And C1 and C2 is touching C3

How to find the sum of the radii of the two circles C₁ and C₂

Since the two circles have same centre and touch a third circle at same point, The two circles have equal radius r

The distance, d from the origin using point x and y given is solved for as follows:

d^2 = x^2 + y^2

d^2 = 3^2 + 4^2

d^2 = 9 + 16

d^2 = 25

d = √25

d = 5

Radius if the two circles is 5 - 3 = 2

One of the radius is 2 hence sum of the two radii

= 2 + 2

= 4 units

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Solve! Quickly, 25 points!

Answers

Can you send the picture again it's not clear

Answer:

can you resend the picture again because its not clear plss

What is the sum and classification of StartFraction 3 Over 20 EndFraction + StartRoot 10Which is the decimal expansion of StartFraction 7 Over 22 EndFraction?EndRoot?

Answers

The sum of the fraction given in decimal will be 3.46.

How to calculate the fraction?

It should be noted that the information is for us to simply add the values that are given.

This will be:

= 3/20 + ✓10

= 0.3 + 3.16

= 3.46

Therefore, the sum of the fraction given in decimal will be 3.46.

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Rehan is on holiday in the USA.
Rehan buys
1 pair of trainers costing $60


The exchange rate is $1 = £0.749
Rehan says,
“The trainers cost less than £40”

Rehan is wrong.

Using a suitable approximation, estimate the cost of the trainers in pounds

Answers

The cost of the trainers in pounds which is $60 in the USA is £44.94

What is exchange rate?

The exchange rate between the dollar and the pound sterling is the amount at which both currencies exchange hands, I mean the amount of pound sterling that is given in lieu of $1, in this case, for every $1, the amount of pound sterling that is equivalent to it is £0.749, which means that on the basis of the exchange rate the value of trainers in pounds can be determined as shown in details below:

$1 = £0.749

$60=60*£0.749

$60=cost a pair of trainers=£44.94

In short, a pair of trainers selling for $60 in the USA should cost £44.94 based on the exchange rate of $1 = £0.749

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15. Which of the following numbers has the largest value?

9/2, 4 1/2, 4.505, 4.550

Answers

Answer:

4.550.

Step-by-step explanation:

Converting to decimal form:

9/2 = 4.5

4 1/2 = 4.5

4.505

4.550

The largest is 4.550.

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Answers

The slope of the line is: 1.

How to Find the Slope of a Line?

Slope of a line (m) = rise of the line / run of the line.

Given the line in the diagram, the image attached below shows the run of the line, which is the blue line, and the rise of the line, which is the red line.

Rise of the line = 2 units

Run of the line = 2 units

Slope of the line = 2/2

Slope of the line = 1

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(1/a)+(1/b)-(1/c)=4 for c

Answers

The value of the c is obtained as; c = ac/(b + a - 4ab).

What is defined as the equation?

A mathematical equation can be defined in a variety of ways. In its most basic form, an equation is a statement that demonstrates that two formulas are equal.

3x + 5 = 24, for example, is an equation in which 3x + 5 and 24 are two declarations kept separate by a 'equal' sign. In mathematics, the most basic as well as simple algebraic formulas consist of one or more variables.A linear equation can have multiple variables. A linear equation is one in which the variable's highest power is always 1. A one-degree equation is another name for it.

Now, for the given equation in three variables;

(1/a)+(1/b)-(1/c) = 4

Bring the quantity to be find on one side and others on the other side.

1/a + 1/b - 4 = 1/c

Taking LCM on the left hand side.

(b + a - 4ab)/ab = 1/c

Taking the reciprocal on the both side.

c = ac / (b + a - 4ab)

Thus, the solution of the given equation in the terms of the c is;

c = ac / (b + a - 4ab).

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61% of men consider themselves professional baseball fans. you randomly select 10 men ask each if he considers himself a professional baseball fan. find the probability that the number who consider them themselves baseball fans is

Answers

The probability is 0.1932 that a randomly selected man considers himself a professional fan.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

We have been given data as:

The number of randomly selected men, n = 10.

Probability of success, that a randomly selected man considers himself a professional fan, p = 61% or 0.61

Probability of failure, that a randomly selected man does not consider himself a professional fan is:

⇒ q = 1 − p = 1 − 0.61= 0.39

The probability that the number of men who consider themselves professional fans is:

⇒ ⁿcₓpˣqⁿ⁻ˣ

Substitute exactly x = 5

⇒ ¹⁰c₅(0.61)⁵(0.39)¹⁰⁻⁵

⇒ ¹⁰c₅(0.61)⁵(0.39)⁵

⇒ 0.1932

Therefore, the required probability is 0.1932.

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Mr. Sid spends 2 5 of his salary on food and 3 10 of the remaining on house rent and electricity. If he keeps the remaining part of his salary as savings, what fraction of his salary does he save?

Answers

The fraction of his salary  he does save is 3/10, on the basis that Mr. Sid spends 2/5 of his salary on food and 3 10 of the remaining on house rent

What fraction of total salary is saved?

The fraction of the salary saved means the proportion of total salary that is neither spent on food nor on house rent, it can determined as the total salary minus the fractions spent on food and house rent respectively

If assume that the total salary is 1, when deducting 2/5 and 3/10 from 1 we can determine the part that is saved

savings=1-(2/5)-(3/10)

if lcm is 50, we would have the below

savings=(50-20-15)/50

savings=15/50

savings=3/10

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Carlos sold 7 cherry pies and 4 blackberry pies for a total of $71. Elisa sold 3 cherry pies and 4 blackberry pies for a total of $51. What is the cost each of one cherry pie and one blackberry pie?

Answers

The cost of one cherry pies is $ 5 and the cost of one blackberry pies is $ 9.

Let the cost of cherry pies be x and the cost of blackberry pies be y.

In case of Carlos, we get the equation as:

7 x + 4 y = 71   …(1)

In case of Elisa, we get the equation as:

3 x + 4 y = 51

4 y = 51 - 3 x   …(2)

Put equation (2) in equation (1)

7 x + 51 - 3 x = 71

4 x = 71 - 51

4 x = 20

x = 20 / 4

x = 5

4 y = 51 - 3 (5)

4 y = 51 - 15

4 y = 36

y = 36 / 4

y = 9

Therefore, we get that, the cost of one cherry pies is $ 5 and the cost of one blackberry pies is $ 9.

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given cosine of x is equal to negative square root of 3 over 2 comma what is the value of cos(x π)?

Answers

Value of cos(x+π) = [tex]\bold{\frac{\sqrt{3} }{2}}[/tex]

Given cosine of x = [tex]-\frac{\sqrt{3} }{2}[/tex]

i.e., cos(x) =  [tex]-\frac{\sqrt{3} }{2}[/tex]

Also cos([tex]\frac{\pi}{6}[/tex]) =  [tex]\frac{\sqrt{3} }{2}[/tex]. So x = [tex]\frac{\pi}{6}[/tex].

We need to find cos(x+π) = cos([tex]\frac{7\pi}{6}[/tex]).

But its value is not easy to find. So we use trigonometric formulas.

We have the trigonometric formula, cos (x+π) = - cos(x) = -  [tex]-\frac{\sqrt{3} }{2}[/tex] =  [tex]\bold{\frac{\sqrt{3} }{2}}[/tex]

Cos(x+π) lies in the 3rd quadrant. So there cosine has negative values. That is why, cos (x+π) = - cos(x).

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HEY I NEED HELP ASAP CAN YOU HELP? WILL GIVE BRAINLYIST
show your work or explain your reasoning in mathematical terms. Be specific. Draw a picture if you need to.

Question:
Abdul wants to put a rug in a square room that has an area of 775 square feet. He wants to leave a 3-foot border of bare floor on each side. What are the dimensions of the rug rounded to the nearest hundredth?

Answers

The dimensions of the rug which Abdul would use in discuss as described in the task content are; 21.84 ft by 21.84 ft.

What are the dimensions of the rug rounded to the nearest hundredth?

It follows from the task content that the dimensions of the rug which Abdul would use in the room in discuss are to be determined.

Since the room Abdul wants to put a rug on is; 775 ft² and the room is a square room.

It follows that all sides of the room are equal and the length of each side can be determined as;

s = √Area; since Area = s².

s = √775

s = 27.839 ft.

Hence, the dimensions of the room is; 27.839 ft by 27.839 ft.

However, since he wants to leave a 3-foot border of bare floor on each side, it follows that the dimensions of the rug on each axis would be;

= 27.839 - 3 -3 = 21.839 ft on all sides.

Consequently, the dimensions of the rug rounded to the nearest hundredth are; 21.84 ft by 21.84 ft.

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