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

(4x5)to the power of 2-6+3=​

Answers

Answer:

if i understood right..

Step-by-step explanation:

... 2-6+3= 1

4×5= 20

1×20=20

the answer is 20.

I'm sorry if i understood the wrong thing.

397 i think! hope this is correct!

3 1/2 x 1 1/3
Please explain how to get the answer

Answers

Answer: 77/3 or 25.67

Step-by-step explanation:

3 1/2 * 11/3

3 * 2+1=7

7/3 * 11/3

7 * 11= 77

3 stays the same

77/3 or 25.67

Answer:

4 2/3

Step-by-step explanation:

You need to turn the fractions into improper fractions

To do that you multiply the whole number by the denominator and add the numerator, doing that will give you your new numerator, but the denominator stays the same

3 1/2. 3×2 = 6. 6+1=7 3 1/2 = 7/2

1 1/3. 1×3 = 3. 3+1 = 4. 1 1/3 = 4/3

Then multiply both numerator by each other and do the same for the denominators

7×4 = 28

2×3 = 6

28/6

Then simply it

28/6 = 4 2/3

2. Find the common difference and the recursive formula. a. 22, 19, 16, 13, …

Answers

Answer:

The common difference d is d = -3

The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]

Step-by-step explanation:

We need to find the common difference and the recursive formula.

a. 22, 19, 16, 13, …

First we will find common difference

The formula of arithmetic sequence is: [tex]a_n=a_1+(n-1)d[/tex]

where a_n is nth term, a_1 is 1st term and d is the difference

Looking at the sequence we get: a_1=22, a_2=19

Using these values we can find d, the common difference

[tex]a_n=a_1+(n-1)d\\put\:n=2, a_2=19, a_1=22\\19=22+(2-1)d\\19=22+d\\d=19-22\\d=-3[/tex]

So, the common difference d is d = -3

Now, we will find the recursive formula:

The recursive formula is of type: [tex]a_n=a_{n-1}+d[/tex]

We have found common difference d = -3

So, the recursive formula will be:

[tex]a_n=a_{n-1}+d\\a_n=a_{n-1}+(-3)\\a_n=a_{n-1}-3[/tex]

The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]

what is 696 divided by 8=?????????????

Answers

Answer:87

Explanation:
Calculator
“belt”-asap rocky

Find the range.

3 -9 7 -1 5 -4 2 ​

Answers

Answer: The range is 94.

Hope this helps

What is the solution set for this inequality 55 > 7cm + 6

Answers

Answer:

Answer:

First, we will substitute x for cm, and then graph the equation to find the solution

Step-by-step explanation:

Therefore, the answer is (7,0)

Choose ALL answer choices equivalent to the ratio of snails to frogs?
A. 4:3
B: 3:4
C: 9:12
D: 12:9
E: 18:20
F: 27:36
And the picture shows that there are 4 frogs and 3 snails

Answers

Answers are A B and F I think if I’m wrong I’m really sorry


Cheri uses her Tune-It-Up music card to make a $12 purchase of a few of her favorite songs. Which integer represents the effect of Cheri's purchase on the balance of her music card?

A) −$12
B) −$11
C) $0
D) $12

Answers

Answer:

Step-by-step explanation:

A, -12

if she had an x amount on her card,

after the buys the songs, she will have x-12 left

A, because she is using 12 dollars so it would minus 12 dollars

Can Someone Please Help Me!!!

Answers

the answer is d because range is y axis

Find the vertex of the parabola. y = negative 4 x squared + 24 x minus 35 a. ( -3, 1) c. ( 3, 1) b. ( -3, -1) d. ( -1, -3)

Answers

Answer:

(3, 1)

Step-by-step explanation:

y = -4x² + 24x - 35

Find the vertex by using the formula:

(h, k) → [tex]\displaystyle \Big [ -\frac{b}{2a}, \ f \Big (-\frac{b}{2a} \Big ) \Big ][/tex]

In this problem, we have:

a = -4 b = 24 c = -35

Using 24 for b and -4 for a, we can substitute these values into the vertex formula:

[tex]\displaystyle -\frac{b}{2a} \rightarrow -\frac{24}{2(-4)} = \frac{-24}{-8} = 3[/tex]

The h-value for the vertex is 3.

Now let's plug 3 back into the standard form equation to solve for the k-value of the vertex.

[tex]-4x^2 + 24x - 35 \rightarrow -4(3)^2+24(3)-35 = -36 + 72 - 35 = 1[/tex]

The k-value for the vertex is 1.

The vertex of the parabola is (3, 1).

Estimate the product of 2 & 4/11 and 16 & 1/5.
A. about 2 × 16 = 32
B. about 2 × 14 = 28
C. about 3 × 16 = 48
D. about 3 × 14 = 42

Answers

Answer:

a

Step-by-step explanation:

Determine what is closer to 2 4/11.

you would- 4/11 to get 2

you would +6/11 to get 3.

So 2 is closer

Do the same with 16 1/5

16 is closer

therefore, it is 2*16=32

Now let's assume that you have a newer toilet that uses 6 L per flush, but you are considering upgrading to a dual-flush toilet. If you flush the toilet four times per day, but three of those times you could use the 3 L flush, how many liters of water would you save in 1 year

Answers

Answer: 3,285 Liters

Step-by-step explanation:

In the actual case, all your flushes consume 6 L of water.

You flush 4 times per day, then you consume 4 times 6 L per day, this is:

4*6L = 24 L per day.

And in one year there are 365 days, then in one year you consume:

365*24 L = 8,760 L

Now, if you upgrade the toilet, now per day you use:

one time 6 L and 3 times 3 L

Then in day, you use:

1*6 L + 3*3 L = 6L + 9L = 15L

And in the complete year, you will use 365 times that, which is:

365*15 L = 5,475 L

The amount of water that you would save is equal to the difference between the amount that you use in one year with no upgrade (8,760 L) and the amount that you would use in a year if you upgraded your toilet ( 5,475 L)

The difference is:

D = 8,760 L - 5,475 L = 3,285 L

This means that, in this situation, you would save 3,285 liters of water per year if you upgrade your toilet.

A. 50 degrees
B. 130 degrees
C. 9 units
D.22 units
E. 13 units

Answers

Answer: all i can do hope this helps a bit 2. 130 degrees

5. 13 units

The school store sells pens for $0.70 each and pencils for $0.30 each. Anthony spent $2.70 to buy a total of 5 pens and pencils.How many pencils
did Anthony buy? ___ pencils

Answers

Answer:

Pencils=2

Step-by-step explanation:

Pencils-n

-0.70 - 0.70 = -3.5

0.70p + 0.30 = 2.7

-0.4n = -0.8

-0.4      -0.4

n=2

9 x 2/4 =
Nine times two fourths equals

Answers

Answer:

9/2

Step-by-step explanation:

9*2/4 = 9*1/2 = 9/2

Answer:

9/2

Step-by-step explanation:

Two similar polygons are shown below:

Which transformation was performed on PQRS to form P′Q′R′S′?

a. A dilation factor of 2

b. A dilation factor of 4

c. A dilation factor of 1 over 2

d. A dilation factor of 1 over 4

Answers

Answer:

a. A dilation factor of 2

Step-by-step explanation:

S'R'/SR = 2/1 = 2

whats the unit rate for 4/5 chapters in 1/4 hour​

Answers

Answer:

Unit Rate: 16/5 chapters per hour

Step-by-step explanation:

4/5 divided by 1/4 = 4:5, 4:1 = 4/5 x 4/1 = 16/5

Write the ratio 21 wins to 9 losses as a faction in simplest form.​

Answers

Answer: 7/3

Step-by-step explanation:

Divide both by 3

21/ 3 = 7

9 / 3 = 3

You get 7/3. Hope that helps!

Evaluate the expression 2 + 23 × 5 - 3.

20
39
37
47

Answers

The expression after evaluating results in the number 114.

What is BODMAS Rule?

BODMAS rule is the rule used when solving expressions involving more than one operations.

It is the abbreviation of Brackets, Order, Division, Multiplication, Addition, Subtraction, which is the order of the operations to be done.

The expression given is,

2 + 23 × 5 - 3

We have to evaluate the expression in the order of BODMAS.

There are no brackets and orders and division.

Start with the multiplication.

2 + 23 × 5 - 3 = 2 + 115 - 3

Next do the addition.

2 + 115 - 3 = 117 - 3

                  = 114

Hence the value of the expression given is 114.

To learn more about BODMAS Rule, click :

https://brainly.com/question/16738857

#SPJ2

I need help with this question plz

Answers

Answer:

y = 10/3x + 20

Step-by-step explanation:

First, we need to find the slope of the function. We can do that by using two points and inserting them into the slope formula. It can be any two but I'll just pick (3, 30) and (6, 40).

m = y₁ - y₂ / x₁ - x₂

m = 30 - 40 / 3 - 6

m = -10/-3

m = 10/3

Now we know the slope is 10/3.

In slope-intercept form, the y-intercept is the constant at the end of the equation. The table of values tells us that the y-intercept is located at (0, 20). So the equation of the linear function is y = 10/3x + 20.

Please help me with these questions FAST it's formal and I can't faillllllll!!!!!!,

Answers

A. I think it would be -40/297

Rise over run (-5,2) and (1,-2)

(4,10) and (-2,-5) slope

Answers

Answer/Step-by-step explanation:

6. Given, (-5, 2) and (1, -2):

[tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_2} [/tex]

[tex] = \frac{-2 - 2}{1 - (-5)} [/tex]

[tex] = \frac{-4}{6} [/tex]

[tex] = \frac{-2}{3} [/tex]

9. Given, (4, 10) and (-2, -5):

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_2} [/tex]

[tex] = \frac{-5 - 10}{-2 - 4} [/tex]

[tex] = \frac{-15}{-6} [/tex]

[tex] slope = \frac{5}{2} [/tex]

find the Pecimeter of the figure given below

Answers

Step-by-step explanation:

perimeter(P)=3+4+43+4+411

Answer:

perimeter= 4+4+3

11

Step-by-step explanation:

....

There are 25 students performing in the holiday concert. Of the students, 11 are boys.
What decimal represents the fraction of students that are boys?

Answers

Answer:

0.44 (44%) of the students are boys.

Step-by-step explanation:

Hope this helps!

✧◝(⁰▿⁰)◜✧

What is the slope of the line that passes through
the points (-5, -5) and (6, – 9)?

Will give brainliest pls answer immediately!

Answers

Answer:

[tex]slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } \\ = \frac{( - 9 - ( - 5))}{(6 - ( - 5))} \\ = \frac{ - 4}{11} \\ slope = - \frac{4}{11} [/tex]

Hudson wants to ride his bicycle 51 miles this week. He has already ridden 12 miles. If he rides for 6 more days, what is the average number of miles he would have to ride each day to meet his goal?​

Answers

6.5 because 51-12 is 39 and 39 divided by 6 is 6.5 so about 6.5

Sven has a mass of 135.0 grams. On Olaf’s scale, Sven weighs 139 grams. What is the percent error of Olaf’s scale?

Answers

Answer: 3% error

Explanation: First, you want to divide 135/139. That will give you 97%, however you have to do 1-0.97 and you will get 3%.

Mandi has $52 and would like to buy some magazines. Each magazine costs $8. How many magazines can Mandi buy? How much more money would she need to buy another magazine?

Answers

She can buy 6 magazines and she needs 4 more dollars to buy another

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

Answers

Answer:

Segment DO

Step-by-step explanation:

The first option is not the radius because A is going outside of the circle and it would actually be longer than the radius.

BC is too high up, and it's considered a chord, not the radius.

DE is the diameter, not the radius.

That leaves us with 1 answer remaining.

-49-X = -8x + 70
helppp

Answers

Answer:

x=17

Step-by-step explanation:Get everything to one side by using addition and subtraction and combine like terms. Once you have that set it equal to zero and put the b in Mx+b on the other side then divide it by m and you’ll have x

Other Questions
Answer the following question in 3-4 complete sentences.The Roman author Quintilian said, Art was inspired by nature, a work of art differs from nature because an artist will transform nature into art. Examine the painting below by Katsushika Hokusai entitled, The Great Wave of Kanagawa. Explain how the artwork relates to Quintilians famous quote, including the artists technique(s) and inspiration(s). SOMEONE PLEASE HELP ME!! Henry Uploaded the photos birthday to a cloud storage system. He feels that it's a safe option for data storage. His friend suggested that there Maybe a disadvantage to cloud storage. Which disadvantage is Henry's friend referring to? Is a mark that contains a direction and length in which a path is made by a pencil or stroke According to the map, Italy in the early 19th century was under the control of Austria. under the control of Spain. united as the Kingdom of Italy. split into kingdoms and city-states. What do you already know about the U.S. Constitution? DID YOU KNOW? An earthquake is the shaking that results from movement under Earth's surface. Earthquakes are caused by forces of plate movement, and they occur most commonly at transform plate boundaries. At transform plate boundaries, plates slide past each other in opposite directions.As the plates try to slide past each other, stress builds, especially along faults. If you recall, faults are cracks on Earth's surface that appear between plates. Excess stress causes rocks to break, which makes the plates release and move past each other with an abrupt movement. As a result, an earthquake begins. answers for both boxes please Lin notices that the number of cups of red paint is always 15 of the total number of cups (0.2 of the total number of cups). She writes the equation r = 15t (r = 0.2t) to describe the relationship. Which is the independent variable? Which is the dependent variable? Explain how you know. what would happen if i eat mold hi! i had to draw a picture for art. can you tell me if its good?also im qourintend rn so its digital art. (idc if i spelled something wrong How did the king keep from feeling guilty about this form of justice? *a. He did not watch the festivities.b. He made his daughter in charge of signaling judgementc. He said the criminals made their own choices, not him.d. He was barbaric and just did not feel guilty. Characteristics such as a widows peak or attached earlobes are determined by the genetic code. Which components of DNA are referred to as the genetic code?A. Phosphate groups B. Nitrogenous bases C. Deoxyribose sugars D. Hydrogen bonds PLEASE HELP!!! please asap homework help What was the issue in Milliken v. Bradley? how do you find the quadratic equation to a graph like this algebra 2!! please help im begging. i dont understand this at all. thank you! Solve for a PLS HURRY Hey, can someone help me with this question? What are three different types of folk expression? 8. Breathalyzer examines the breathexhaled from the?a. stomachb. lungsc. mouthd. None of the above