A cell phone plan charges $39.95 a month plus 15 cents per text message sent and 15 cents per message received. Using s to represent the number of text messages sent in one month and r to represent the number of text messages received in one month, the following equation can be used to calculate the total monthly cost, c.
C=39.95+.15(s+r)
If it is known that the total monthly cost is $53.45 and 63 text messages were received, solve for s, the total number of text messages sent.

Answers

Answer 1

Answer:

The total number of text messages sent was 27.

Step-by-step explanation:

The monthly cost of the cell phone plan, in function of the number of text messages sent(s) and the number of messages received(r), is given by:

[tex]C = 39.95 + 0.15(s + r)[/tex]

In this question, we have that:

[tex]C = 53.45, r = 63[/tex]

We put this into the equation to find the value of s. So

[tex]C = 39.95 + 0.15(s + r)[/tex]

[tex]53.45 = 39.95 + 0.15(s + 63)[/tex]

[tex]0.15s + 9.45 = 13.50[/tex]

[tex]s = \frac{13.50 - 9.45}{0.15}[/tex]

[tex]s = 27[/tex]

The total number of text messages sent was 27.


Related Questions

NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The formula for circumference = 2*Pi*r
R= radius. Radius is half of the diameter, and d= 20. This means that radius = 10. Now we have a full formula to work with.2*Pi*10.
Substitute 3.14 for pi.
3.14 * 10 = 31.4.
31.4*2 = 62.8.
62.8 rounded equals 63.
C = 63.

Which expression is NOT equivalent to 24 + 6x?
A. 2(3x + 12)
B. 28 + 4x – 4 + 2x
C. 5x + 7 + x + 17
D. 3(8 + 3x)

Answers

Answer:

D

the answer is D because when you multiply 3(8 + 3x), it will give you 24+9x

3(8 + 3x)  is not equivalent to 24 + 6x.

Option D expression is not equivalent to 24 + 6x.

What is an expression?

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.

According to the question

Expression is NOT equivalent to 24 + 6x

A . 2(3x + 12)

= 2(3x) + 2(12)

= 6x  + 24

= 24 + 6x

B. 28 + 4x – 4 + 2x

= (28 - 4) + (4x + 2x)

= 24 + 6x

C. 5x + 7 + x + 17

= (5x + x) + (7 + 17)

= 6x + 24

= 24 + 6x

D. 3(8 + 3x)

= 3(8x) + 3(3x)

= 24 + 9x

Hence, Option D is not equivalent to 24 + 6x.

3(8 + 3x)  is not equivalent to 24 + 6x.

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mr downs bought a camera for 56$. this was 80% of the list price. what was the list price

Answers

I got 70 as the list price. If it’s multiple choice and 70 isn’t one of the answers I’m sorry

helpppplzzzzzzzzz:)))))))))

Answers

There is nothing there answer

Answer:

The answer is 14 minutes

Step-by-step explanation:

Subtract your total and divide what you have left. $20 - $18.04 = $1.96

You spent a total of $1.96

Divide that by 0.14 how much per minute and you get 14 minutes.

12x+5y=95
find the x-intercept

Answers

Answer:

(95/12,0)

Step-by-step explanation:

Answer:

(7.916, 0)

Step-by-step explanation:

In order to find the X-intercept, let y=0

12x + 5(0) = 95

12x = 95

95/12x = 7.91666...

Therefore, the x intercept is (7.916, 0)

It was estimated that 650 people would attend the baseball game, but 683 people actually attended.
What is the percent error, to the nearest percent, of the estimate?

Answers

Answer:

5%

Step-by-step explanation:

33/650=0.0507

0.0507*100=5.07

Which equation produces the values in the table?
O y= 4x
O y=4+x
O y=1/4x
Oy=4 - x

Answers

Answer:

Step-by-step explanation: It’s C thank me later

The equation produces the values in the table is y = x/4

What is an equation?

Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.

For example, 2x – 5 = 13.

Given is table (attached) we need to determine an equation that produces the values in the table,

So, seeing the value it is much that the value of x are the 4 times of the values of y,

So, we can write,

4y = x

or, y = x/4

Hence, the equation produces the values in the table is y = x/4

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The meaning of an inequality depends on the __________________of the inequality sign.

Answers

Answer:

Denpeds on the left hand side of nagetive of the inequality sign

If the 8 men on a construction crew make up 40% of the entire crew, how many people are in
the crew?

Answers

Answer:

20

Step-by-step explanation:

Since 40% of the crew are men, which means n.40=8 n=8/.40 n=20 total number of crew 20 - 8=12 are women.

The number of people in the crew is 20.

Let the number of people in the crew be represented by x.

Therefore, 40% of x will be 8. This can then be written as:

40% of x = 8

40/100 × x = 8

0.4 × x = 8

0.4x = 8

Divide both side by 0.4

0.4x/0.4 = 8/0.4

x = 20

Therefore, the number of people in the crew is 20.

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What are the common factors of 9 and 36​

Answers

Answer:

The common factors of 9 are  1, 3, and 9.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 38.

Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits. minimum=7, maximum = 83, 6 classes ​

Answers

Answer:

-24+6=

Step-by-step explanation:

select the correct rule, then solve the equation

Complete Question

Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits. minimum=7, maximum = 83, 6 classes ​

What is the class width? (whole number)

We have that the Class Width is given as

7-19

20-32

33-45

46-58

59-71

72-84

Generally

[tex]Class\ width =\frac{83-7}{6}[/tex]

Class width =12.67

Class width =13

Hence

Lower class limit is

7,7+13=20...33,46,59,72

Upper class limit is

7+13-1=19,32,45,58,71,84

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Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8

1. Isolate x in the first equation:

2. Substitute the value for x into the second equation:

3. Solve for y:







4. Substitute y into either original equation:

5. Write the solution as an ordered pair:





x = 7 – 3y

2(7 – 3y) + 4y = 8

14 – 6y + 4y = 8

14 – 2y = 8

–2y = –6

y = 3

x + 3(3) = 7

(, )

Answers

Answer:

The solution to the system of equation is: (-2,3)

Step-by-step explanation:

We need to find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8

I am placing steps for each point given

1. Isolate x in the first equation:

First equation is:

x+3y=7

Isolating x:

x=7-3y

2. Substitute the value for x into the second equation:

Second equation is:

2x+4y=8

Putting value of x: x=7-3y

2(7-3y)+4y=8

3. Solve for y:

2(7-3y)+4y=8

Multiply 2 with terms inside the bracket

14-6y+4y=8

-2y=8-14

-2y=-6

y=-6/-2

y=3

So, we get value of y: y=3

4. Substitute y into either original equation:

Putting value of y: y=3 in equation 1

x+3y=7

x+3(3)=7

x+9=7

x=7-9

x=-2

So, we get value of x: x=-2

5. Write the solution as an ordered pair:

After solving the equation we get:

x = -2 and y = 3

The ordered pair is: (-2,3)

Answer:

-2,3

Step-by-step explanation:

Isolate x in the first equation:

Substitute the value for x into the second equation:

Solve for y

Please give me brainiest

need help asap!!!!!!!

Answers

Answer:

Poop

Step-by-step explanation:

Complete the sentence using the bare infinitive.
1.My parents often make me __________​ English Subject

Answers

Answer:

study my ___________ I hope it helps

jenny has 7/8 of a tank of gas.she estimates she will use 2/3 of the tank to get home.what fraction of the tank of gas she use?​

Answers

Answer:

Jenny uses ‌7⁄12‌ of the tank of gas.

Step-by-step explanation:

I’ll brainlest pls help me

Answers

Not sure on tax but before tax it’s 27.30

Question 1
Find the missing angle to the nearest degree.
36
14
degrees

Answers

Answer:

23°

Step-by-step explanation:

Let the missing angle be x

Reference angle = missing angle = x

Opposite side to x = 14

Hypotenuse = 36

Applying trigonometric ratio, we have:

[tex] sin(x) = \frac{14}{36} [/tex]

[tex] x = sin^{-1}(\frac{14}{36}) [/tex]

x = 23° (to the nearest degree)


A line passes through the points (-1, -8) and (3, 12). Compute the slope of
the line. Show your steps. *
Your answer
This is a required question



A line passes through the points (-1, -8) and (3, 12). Write the equation for
the line that passes through these points in the form y=mx + b. (Hint: you
already computed m in the previous problem.) *

Answers

Answer:

y = 5x - 3

Step-by-step explanation:

The Slope of a Line

Suppose it's given a line that passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The equation of the line in slope-intercept form is:

y=mx+b

Where:

m = slope  

b  = y-intercept.

We are given the points (-1,-8) and (3,12). Compute the slope:

[tex]\displaystyle m=\frac{12+8}{3+1}=\frac{20}{4}=5[/tex]

The equation of the line now has one known value:

y = 5x + b

Let's use the point (3,12) to find the value of b:

12  = 5(3) + b = 15 + b

Solving for b:

b = 12 - 15 = -3

The required equation of the line is:

y = 5x - 3

QR is parallel to ST Rs is parallel TU QS is congruent to SU

prove QRS is congruent to STU

Answers

Answer:

hope my answer is helpful to you

plz mark me as brainlist and also follow me

As QR is parallel to ST Rs is parallel TU QS is congruent to SU the measure of their included angle is also same ∠QRS ≅ ∠STU.

What is congruency?

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given, Line segment QR is parallel to line segment ST.

Line segment RS is parallel to line segment TU, And line segment QS is similar to line segment SU.

So, The included angle of two pairs of parallel lines will also be the same as

line segment QS is similar to line segment SU.

∴ ∠QRS is similar to ∠STU.

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Can someone help me with this question?
36x245

Answers

8,820 is the answer. 200x30=6000, 40x30= 1200, 30x5=150, 200x6=1200, 40x6=240, and 6x5=30. Lastly, you would want to add them together to get the total/sum which is 8820. (don’t ask me how I do it).

Which statement explains one reason why unconfirmities occur

Answers

Unconformities occur when either erosion wears away rocks, or rock deposits never form. Therefore, a time gap exists between when the rocks below the unconformity formed and when those above it formed. ... Common to all three, erosion causes them to form, and younger rocks sit on older rocks.

PLEASE HELP ME WITH THIS QUESTION

Answers

9514 1404 393

Answer:

  B.  3b -0.51b

Step-by-step explanation:

The factor outside parentheses multiplies each term inside parentheses.

  3(b -0.17b) = 3(b) +3(-0.17b) = 3b -0.51b . . . . note the minus sign

The term 3b represents the original price of 3 loaves of bread.

The term -0.51b represents the total discount on the price of 3 loaves of bread.

I NEED HELP NOW please

Answers

6
12
18
24
30
That is on the y side
6
12
18
24
30
On the y side

It is Monday.

/: There is chicken for lunch.

/

Write the inverse in if-then form.

Answers

The proper way to write this sentence would be:

If it is Monday then there is chicken for lunch.

May I have brainliest please? :)

help ASAP pls and receive brain list to correct and first ​

Answers

Answer:

I'm pretty sure the answer to this is y=3

If Eric has 60 cupcakes and 12 of the cupcakes are vanilla. What percent of the cupcakes are vanilla?

Answers

There are 20% of vanilla cupcakes

Helppppppppp!!!!!! Please

Answers

Answer:

x = 4.99°

Step-by-step explanation:

Reference angle = x

Opposite side to x = 20 cm

Hypotenuse = 230 cm

Applying trigonometric ratio formula, we would have the following equation:

[tex] sin(x) = \frac{Opp}{Hyp} [/tex]

Plug in the values

[tex] sin(x) = \frac{20}{230} [/tex]

[tex] x = sin^{-1}(\frac{20}{230}) [/tex]

x = 4.99° (approximated to nearest hundredth)

A rectangular prism shaped book has a base area of square inches and a height of inch. What is the volume of the book?

Answers

Answer:

See Explanation

Step-by-step explanation:

The question has missing details, as the base area and height of the prism is not given.

To solve further, I'll assume that:

[tex]Base\ Area = 12\ in^2[/tex]

and

[tex]Height = 5in[/tex]

Using the above parameters, as point of reference.

The volume is:

[tex]Volume = Base\ Area * Height[/tex]

[tex]Volume = 12\ in^2 * 5\ in[/tex]

[tex]Volume = 60\ in^3[/tex]

What is the length of side EF in the triangle? Please give a step by step explanation, I'm having lots of trouble finding the solution. Thank you!

Answers

Answer:

EF = 8.8 cm

Step-by-step explanation:

In the given right angled ΔDEF, DE is the hypotenuse while EF and DF are adjacent sides. So that applying the Pythagoras theorem, we have;

[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]

[tex]/DE/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/DF/^{2}[/tex]

[tex]/16.2/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/13.6/^{2}[/tex]

262.44 = [tex]/EF/^{2}[/tex] + 184.96

[tex]/EF/^{2}[/tex] = 262.44 - 184.96

          = 77.48

EF = [tex]\sqrt{77.48}[/tex]

     = 8.8023

EF = 8.8 cm

The length of side EF is 8.8 cm.

A line has a slope of a and has a y-intercept of (0,b). Which equation represents this line?
A. y-b=a(x-0)
B. y+b=a(x-0)
C. y-0=a(x-b)
D. y-0=a(x+b)

PLEASE HELP GIVING 50 POINTS!!!

Answers

Step-by-step explanation:

General line equation: y = mx + c, where m is the slope of the line and c is the y-intercept.

We have y = ax + b.

=> y - b = ax

=> y - b = a(x - 0).

The answer is option A.

Answer:

A

[tex]general \: equation \: of \: line \\ y = mx + c \\ from \: the \: data \: given \\ m = a \\ c = b \\ y = ax + b \\ y - b = ax \\ y - b = a(x - 0)[/tex]

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