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

A jewelry box contains two gold hoop earrings and two silver hoop earrings. You randomly choose two earrings. What is the probability that both are silver hoop earrings? Write your answer as a fraction or percent rounded to the nearest tenth.

The probability that both are silver hoop earrings is:

Answers

Answer:

2 + 2 = 4 total earrings in the box.

If you put the earring back into the box before taking out the second, it would be 1/2 * 1/2 = 1/4, 25%.

Answer:

1/6 or 16.7%

Step-by-step explanation:

There are a total of 4 earrings in the box: 2 pairs of earrings + 2 pairs of earrings.

If you return the first earring to the box before removing the second, the answer is 1/2 * 1/2 = 1/4, or 25%.

If you remove the first earring from the package, the response is 1/2 * 1/3 = 1/6, or 16.7%.

What is the surface area?

Answers

Answer:

369 m²

Step-by-step explanation:

Area of Triangle (sides): 1/2bh

=1/2(bh)

=1/2 (9•16)

=1/2 (144)

=72

There are four sides of the prism:

72•4=288

Area of Square (base): l•w

=9•9

=81

Surface Area = 288+81=369 m²

Answer:

369 m²

Step-by-step explanation:

Tom enjoys going to the hardware store. In the past three
weeks, he has spent a total of $85.84 on a hammer, nail
gun, and box of nails. What amount shows his average
spending per week?
A) $14.31
B) $28.61
C) $69.93
D) $85.84

Answers

Answer:

B) $28.61

Step-by-step explanation:

Average  spending per week:

85.84 ÷ 3 ≈ 28.61

Consider a binomial experiment with n = 5 trials where the probability of success on a single trial is p = 0.30. (a) Find P(r = 0). (b) Find P(r ≥ 1) by using the complement rule.

Answers

Answer:

0.16807 ; 0.83193

Step-by-step explanation:

Given that:

Number of trials, n = 5

Probability of success, p = 0.30

P(r = 0)

Using the binomial probability relation :

P(x =r) = nCr * p^r * (1 - p)^(n - r)

(a) Find P(r = 0).

P(r = 0) = 5C0 * 0.3^0 * (0.7)^(5- 0)

= 1 * 1 * 0.16807

= 0.16807

(b) Find P(r ≥ 1) by using the complement rule

P(r ≥ 1) = 1 - P(r = 0)

P(r ≥ 1) = 1 - 0.16807

P(r ≥ 1) = 0.83193

Simplify (65)2
O A. 670
O B. 67
C. 65
D. 63

Answers

130 If you multiply that’s what it would give you so I’m not sure what those answers are

find the measure of m

Answers

Answer:

m=42

Step-by-step explanation:

because all straight line equal 180, we can find angle C

180-98=82

now, all triangles add up to 180. If we add up all the values we can find x

82+6x+8+5x+2=180

92+11x=180

11x=88

x=8

Now, just plug the variable into the angle measure

5(8)+2

40+2

42

Solve for y: 2x - y = 5

Answers

Answer:

Step-by-step explanation:

Answer:

y = 2x - 5

Step-by-step explanation:

2x - y = 5

=> 2x = 5 + y

=> 5 + y = 2x

=> y = 2x - 5

The 7th grade basketball team has won 15 games out of the 20 games they have played this season. If they were to keep up this winning ratio, what is the probability they will win their next game?

Answers

Answer: 3/4

Step-by-step explanation:

1Jada made 6 cups of blueberry jam and divided the jam equally among 4 containers. How much jam went in each container? ​I pick you as brainlist

Answers

Answer:

That would be 1.5

Step-by-step explanation:

Here it is.

andrea rents a bike for 8 hours and pays $42 for the rental tomorrow she wants the same bike but only needs it for 6 hours what equation can she use to figure out how much she will need to pay

Answers

Answer:

8x=42 where x is hourly cost

so x = 21/4

6*x = 63/2 $

Step-by-step explanation:

Paul withdrew $17.25 from his savings account every week for 3 weeks. Which equation is the best choice to help him determine the total amount of money he withdrew?

Answers

17.25 times by 3 I’m not sure if this is 100% correct

Answer: (3)(−17.25) = −51.75; he withdrew $51.75

Step-by-step explanation:

hope it helped xx

Hello? Someone please help me with this.

Answers

Answer:

16x-6

Step-by-step explanation:

well in order to do so

u have to multiply 2 to 8x to get 16x

and then, multiply the 2 to -3 to get -6

this is the distributive property form. and that's how u get ur answer

what’s 2+2.
bet you don’t know.

Answers

Window come at me fam I’m smarter than you bruv

-8 - 1 = ?

Please show work for credit/ brainliest

Answers

Answer: The answer is -9

Step-by-step explanation:-8 - 1 = -9

It’s simple ! -8 and your getting smaller ( -1) = -9

PLEASSEEEEEEEE HELLPPPPPPPP MEEEEEEEE

Answers

Answer:

D

Step-by-step explanation:

Answer:

The answer is D. Associative and Distributive Properties.

Step-by-step explanation:

P.S Can I have brainliest?

Angela works at a job that pays $9.46 per hour. She works for 30 hours per week.



Compute the total amount that Angela makes in one week.

$
283.8




Assume that there are four weeks per month. Compute the total amount Angela makes per month.

$
1,135.2




Angela is using the Quantitative Reasoning Process to make a decision. She needs to know how much she makes in one year. Sometimes the values we get from our calculations depend on the assumptions we make. The following questions show that Angela will get different values for the amount she makes in a year depending on the assumption she chooses.



Assume that Angela gets paid once per week. Multiply the amount she makes in one week by 52 to find the total she will make in one year.

$
14,757.6




Assume that Angela gets paid once per month. Multiply the amount she makes in one month by 12 to find the total she will make in one year.

$
Number

I got the other 3 correct

Answers

Answer:

$13,622.4

Step-by-step explanation:

$1,135.2(what she gets paid per month) *12 (months per year)


What is mzA? Enter your answer as only a number

Answers

Answer:

A = 25

B = 65

Step-by-step explanation:

Remark

I hope you mean what is the size of <A? If not leave a note. If I am correct than A and C are complementary (equal 90o) since B is a right angle.

Solution

2x + 1 + 5x + 5= 90            Combine like terms

7x + 6 = 90                         Subtract 6 from both sides

7x = 90-6

7x = 84                               Divide by 7

x = 84/7

x = 12

==========================

Now that is not quite the answer.

A = 2x + 1

A = 2*12 + 1

A  = 25

B = 5x + 5

B = 5*12 + 5

B = 60 + 5

B = 65

Solve the following A/5+3=8

Answers

Answer:

Your answer is going to be a=1

Step-by-step explanation:

First things first, we want all the letters on the left side and all the numbers on the right side. So, you have to get rid of the three. In order to get rid of the three you have to take it away, so A/5=8-3. Then it will become A/5=5. After that you want to have A all by itself so divide it by 5, A/5=5/5. Then it will become A=1. Hope this helps! :)

Answer:

A=25

Step-by-step explanation:

A/5+3=8

A/5+3-3=8-3

see upper side photo

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 three-fifths of seventh-grade class has missed at least one day of school, what percentage of 7th grade has missed at least a day of school?

Answers

The percentage of 7th grade class who has missed at least a day of school is 60 percentage.

What is percentage?

A percentage is a number or ratio expressed as a fraction of 100.

It is usually represented by using the symbol %

Given data ,

Fraction of 7th grade class that missed at least one day of school = 3 / 5

Now , to calculate the percentage of 7th grade that has missed at least one day of school , we multiply the fraction by 100

Therefore , Percentage = 3 / 5 x 100 %

                                       = 3 x 20 %

                                       = 60 %

Hence , the percentage of 7th grade class who has missed at least a day of school is 60 percentage.

To learn more about percentage click :

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anyone wanna help me out

Answers

4

slope formula is y2-y1/x2-x1

(18-(-10))/(-4-(-11))
28/7
4

What is 9 divided by 0.17

Answers

Answer:

52.94

Step-by-step explanation:

Answer:  It's 52.9411765

Which statement is true of normally distributed data?

A.
Approximately 90% of data falls within 2 standard deviations (±2) of the mean.

B.
Approximately 90% of data falls within 3 standard deviations of (±3) the mean.

C.
Approximately 95% of data falls within 2 standard deviations (±2) of the mean.

D.
Approximately 95% of data falls within 3 standard deviations (±3) of the mean.

Please explain and no answering just for points.

Answers

C

have a nice day!!!!!!!!!!!!!!!!!!!!!!!

Approximately 95% of data falls within 2 standard deviations (±2) of the mean. Option D is correct.

What is a normal distribution?

A normal distribution is a type of continuous probability distribution for a real-valued random variable such that the values are symmetric about a mean and the curve has bell shape.

Standard deviation is the measure of the randomness of the distribution. The curve has its peak at the mean.

As standard deviation increases, the peak of the curve comes lower and the distribution becomes more and more dispersed.

In a normal distribution 68% of the values falls within 1 standard deviation

and 95% of the values falls within two standard deviations. 99% of the values falls within three standard deviations.

Hence, approximately 95% of data falls within 2 standard deviations (±2) of the mean.

To learn more about normal distribution visit:

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Can somebody help me with my math I’ll give u brainlest

Answers

Answer:

yess!!

Step-by-step explanation:

''-''

Answer:

where are questions

Step-by-step explanation:

Write 3/5 as a division

Answers

Answer:

3/5 as a division is 0.6

Step-by-step explanation:

To write a fraction as a division, we basically divide the values, since the fraction represents a division.

In this question:

We want 3 divided by 5.

3 is less than 5, so we can multiply 3 by 10(getting 30), and adding a 0 to the quotient.

So now 0.(30/5) = 0.6, which means that 3/5 as a division is 0.6.

What is the sum of the exterior angles of a 10-gon figure?

Answers

Answer:

The sum of the exterior angles of a regular polygon will always equal 360 degrees.


Round 1.9578 to 1 decimal ​

Answers

Answer:

2

Step-by-step explanation:

the first decimal is 9

9>5 so by rounding 1.9578 to 1 decimal we get 2

Expanded form of 6(y+x)

Answers

Answer:

6y + 6x

Step-by-step explanation:

the expanded form would be 6 multiplied to each item in the parenthesis

this gets you 6x + 6y

The answer is 6x+6y multiply the 6 by everything inside the brackets

Many families in California are using backyard structures for home offices, art studios, and hobby areas as well as for additional storage. Suppose that the mean price for a customized wooden, shingled backyard structure is $3,200. Assume that the standard deviation is $1,200. (a) What is the z-score for a backyard structure costing $2,300

Answers

Answer:

-0.75

Step-by-step explanation:

To get the z score we have to use this formula

Z = X-mean/standard deviation

X = 2300

Mean = 3200

The standard deviation = 1200

When we plug these values into the z formula above, we have:

2300-3200/1200

= -900/1200

= -0.75

the z-score for a backyard structure costing $2,300 is therefore -0.75

tongue tied sauces inc finds that the revenue in dollars from the sale of x bottles of barbeque sauce is given by

Answers

Answer:

The answert is "$0.007 / bottle".

Step-by-step explanation:

Please find the complete question in the attachment file.

[tex]\to R(x) =7.5x^{0.7}[/tex]

The  average income:

[tex]\to A(x) = \frac{R(x)}{x} =7.5 x^{-0.3}[/tex]

The change rate on the average revenue:

[tex]\to A'(x) =7.5(-0.3)x^{-1.3}[/tex]

when 81 bottles were produced , then the rate of change in average revenue

[tex]\to =A'(81)\\\\\to -0.007 \ / \ bottle[/tex]

The average income  is decreasing at rate = $0.007 / bottle

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