Your cell phone plan costs ​$24..99 per month plus ​$0.17 for each text message you send or receive. You have at most ​$29 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next​ month?​

Answers

Answer 1

Answer:

The maximum number of text messages you can send per month would be 23.

Step-by-step explanation:

1. First, you want to create an inequality from the word problem.  You know that $24.99 is a constant, so we won't put any variables next to it.  You also know that each text message is $0.17, so that would need a variable since it can change each month.  You also know that you can spend $29 maximum each month, so that goes on the other side of the inequality.  Your inequality will look like this:  0.17x+24.99≤29 (x is the number of text messages).

2. Second, you want to solve for x.  To do this, subtract 24.99 from each side.  After this, the equation is 0.17x≤4.01

3. Now, divide each side by 0.17.  Now your inequality is x≤23.59.  This represents how many text messages you can send per month without going over 29.

4. Finally, you have to realize that is impossible to send exactly 23.59 text messages.  So, you have to round down to 23 to get an even number of text messages, and that's your answer!

Hope this helps!  Feel free to ask any questions :)


Related Questions

Which fraction is equal a whole number ?

A. 3/6 B.7/8 C.10/4 D.8/4

Answers

Answer:

D. 8/4

Step-by-step explanation:

Actually, 8/4 is basically 8 divided by 4, which is 2. And 2 is a whole number not decimal number, so that would be your answer.

The fraction number (8/4) that is equal to the whole number is 2. Then the correct option is D.

What is a fraction number?

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

A. The fraction number is given as

[tex]\dfrac{3}{6}[/tex]

And it can be written as

[tex]\dfrac{1}{2}[/tex]

B. The fraction number is given as

[tex]\dfrac{7}{8}[/tex]

C. The fraction number is given as

[tex]\dfrac{10}{4}[/tex]

And it can be written as

[tex]\dfrac{5}{2}[/tex]

D. The fraction number is given as

[tex]\dfrac{8}{4}[/tex]

And it can be written as 2.

More about the fraction number link is given below.

https://brainly.com/question/78672

what comes next in the pattern

19, 20, 22, 25, 29, 30, 32, 35, 39, 40, 42, 45 ___

Answers

48 is the answer if you follow the pattern

3x – 1 > 4x + 7
What’s the answer

Answers

Answer:

[tex]x<-8[/tex]

Step-by-step explanation:

So we have the inequality:

[tex]3x-1>4x+7[/tex]

Add 1 to both sides. The left side cancels:

[tex]3x>4x+8[/tex]

Subtract 4x from both sides. The right side cancels:

[tex]-x>8[/tex]

Divide both sides by -1. Since we're dividing by a negative, we flip the sign:

[tex]x<-8[/tex]

And we're done!

Our solution is all numbers less than -8.

Answer:

x = -8

Step-by-step explanation:

I will be the brainliest, its hard to explain on a document, i could make you avideo how to do these problems, im a math teacher.

Gavin is analyzing the success of a newly launched game app. The game takes place on an island that's been overrun with zombies. When a player is on level one of the game, the population of zombies is 50,000. Each time the player advances to a new level, that population grows at a rate of 5%. Answer the questions that follow to continue Gavin’s analysis. Use the initial zombie population and growth rate per level to complete the table and estimate the population at level 5. Round to the nearest whole number, if necessary.
.
Game Level: 1 | 2 | 3 | 4 | 5
Population: 50,000 |

Answers

Answer:

Answer: Level 1 - 50,000

Level 2 - 52,500

Level 3 - 55,125

Level 4 - 57,881

Level 5 - 60,775

Step-by-step explanation:

Level 1 population will be  50,000

Level 2 population will be  52,500

Level 3 population will be  55,125

Level 4 population will be  57,881

Level 5 population will be  60,775

What is a product?

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. Product can meet are the quantities that are included, and the outcome of the operation, or the final response.

The zombies would be 50,000 * 5% if Gavin were level 1, and 50,000 * (5% * 2) if Gavin were level 2, which would be equivalent to 50,000 * 10%. Gavin calculates the number of zombies by multiplying the player's stage by 5%, which equals 50,000 * 5%x Initial Density of Zombie.

The population of the 2 level is

50000 + (50000 * 5%)

50000 + 2500 = 52500

The population of 3 levels is

52500 + (52500 * 5%)

= 55,125

The population of 4 levels is

55,125 + (55,125 * 5% )

=  57,881

The population of 5 level is

57,881 + ( 57,881 + 5%)

=   60,775

Learn more about product, Here:

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Laura bought 55 shares of stock for $3.50 per share last year. She paid her broker a 1% commission. She sold the stock this week for $2 per share, and paid her broker a $10 flat fee. What were Laura’s net proceeds? Round to the nearest cent. What was her capital gain or loss?

Answers

Answer:

cp of 55 shares = 3.50 * 55 = 192.5

commission amount = 1% *192.5 = 1.925

Total invest = 192.5 + 1.925 = 194.425

sp of 1 share = 2

sp of 55 share = 2*55 = 110

Earning from shares = 110

since earning is less than invest, Laura has loss of (194.425 - 110) = 84.425

Laura has a loss of $84.425 for the cost price of $192.5.

What is an expression?

Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Cost price of 55 shares = 3.50 x 55 = 192.5

Commission amount = 1% *192.5 = 1.925

Total invest = 192.5 + 1.925 = 194.425

The selling price of 1 share = 2

The selling price  of 55 share = 2*55 = 110

Earning from shares = 110

Since earnings are less than investment, Laura has a loss of (194.425 - 110) = $84.425

Therefore, Laura has a loss of $84.425 for the cost price of $192.5.

To know more about an expression follow

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16x^3
And divide
10x^1

Answers

Answer:

8x^3/5

Step-by-step explanation:

Evaluate the exponent

16x^3/10

Factor 2 out of 16x^3

2(8x^3)/10

Cancel the common factors

Factor 2 out of 10

2(8x^3)/2(5)

Cancel the common factor

(8x^3)/5

Rewrite the expression

8x^3/5

I hope this helps! :)

12 + 36 /3 × 4 + 300

Answers

360 is the answer
1. 36/3 = 12
2. 12 x 4 = 48
3. 12 + 48 + 300 = 360

please help, thanks!

Answers

Answer:

a) 10.5cm

b) 1520cm³ (3 s.f.)

c) 1270cm² (3 s.f.)

Step-by-step explanation:

Please see the attached picture for full solution.

m∠1 = 65°, what is m∠2?

Answers

Answer:

m∠2=65

Step-by-step explanation:

They are corresponding angels which means they are congruent.

A Toyota Prius and a Dodge Circuit leave an intersection at the same time. The Prius heads east at an average speed of 50 miles per hour, while the Circuit heads south at an average speed of 45 miles and hour. After 30 minutes, the two cars are about _____ miles apart. After 2 hours, the two cars are about ______ miles apart. Write an express for the distance, d (in miles) after t hours.

Answers

Answer:

33.634 ; 134.536 ; d = √[(50t)² + (45t)²]

Step-by-step explanation:

Given the following :

Toyota Prius = East at 50mph

Dodge Circuit = South at 45mph

Distance apart after 30 minutes :

Distance = speed * time

Distance moved by Prius = ( 50mph × 0.5hr) = 25 miles

Distance moved by Circuit = ( 45mph × 0.5hr) = 22.5 miles

Hence Displacement after 30 minutes :

d = √(25² + 22.5²)

d = √625 + 506.25

d = √1131.25

d = 33.634 miles

Distance apart after 2 hours :

Distance = speed * time

Distance moved by Prius = ( 50mph × 2hr) = 100 miles

Distance moved by Circuit = ( 45mph × 2hr) = 90 miles

Hence Displacement after 2 hours :

d = √(100² + 90²)

d = √10000 + 8100

d = √18100

d = 134.536 miles

Distance d in miles after t hours :

d = √[(50t)² + (45t)²]

Amy has $30 to spend she wants to buy 3 pounds of lemons at two dollars per pound a box of rice for four dollars and seven frozen dinners for three dollars each Will Amy have one dollar left over

Answers

Answer: Amy will not have one dollar left over , but she will have to add an extra dollar to buy all that stuff.

Step-by-step explanation:

First find  the cost of the items she want to buy in total.

So she wants to buy 3 pound  of lemons at two dollars per pound that will cost her $6.

Seven frozen dinners for three dollars each will cost her  $21.

The box of rice will cost her  $4.

Add the total cost together.

21 + 4 + 6 = 31  

This means she will have to spend $31 in total and that is beyond her budget which is $30  dollars. This also means that Amy will not have one dollar left over but she will need to add one dollar.

Answer:

Amy won't have 1 dollar left, she will actually need 1 dollar because all of that would be 31 dollars.

Step-by-step explanation:

3 pounds of lemons= $6

1 box of rice= $4

7 frozen diners= $21

6+4=10

10+21=31

Which of the green triangles is a reflection of the blue triangle? a Triangle D b Triangle B c Triangle C d Triangle A e None

Answers

Answer:

Triangle A

Step-by-step explanation:

Answer:

a

a

Step-by-step explanation:

a

On a coordinate plane, 2 lines are shown. Line P Q has points (negative 5, 3) and (5, 1). Line R S has points (negative 4, negative 2) and (0, negative 4).
Which statement best explains the relationship between lines PQ and RS?
They are parallel because their slopes are equal.
They are parallel because their slopes are negative reciprocals.
They are not parallel because their slopes are not equal.
They are not parallel because their slopes are negative reciprocals.

Answers

Given:

Line P Q has points (-5, 3) and (5, 1).

Line R S has points (-4, -2) and (0, -4).

To find:

The relationship between lines PQ and RS.

Solution:

If a line passing through two points, then the slope of line is

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

Line P Q has points (-5, 3) and (5, 1). So, slope of line PQ is

[tex]m_1=\dfrac{1-3}{5-(-5)}[/tex]

[tex]m_1=\dfrac{-2}{5+5}[/tex]

[tex]m_1=\dfrac{-2}{10}[/tex]

[tex]m_1=\dfrac{-1}{5}[/tex]

Line R S has points (-4, -2) and (0, -4). So, slope of line RS is

[tex]m_2=\dfrac{-4-(-2)}{0-(-4)}[/tex]

[tex]m_2=\dfrac{-4+2}{0+4}[/tex]

[tex]m_2=\dfrac{-2}{4}[/tex]

[tex]m_2=\dfrac{-1}{2}[/tex]

Slopes of two parallel lines are equal.

[tex]m_1\neq m_2[/tex]

They are not parallel because their slopes are not equal.

Therefore, the correct option is C.

Answer:

the correct answer is c

Step-by-step explanation:

Edu2020

pls help asap show work thank you so much

Answers

I hope this helps. If you need another explanation just message me

Scott got $20.00 after finishing his chores for the week. He bought a chocolate bar for $1.79 and a bag of Takis for $1.99. What was the total amount of money he spent?

Answers

Answer:

$3.78

Step-by-step explanation:

$1.79+$1.99=$3.78

Answer:

$3.78

Step-by-step explanation:

true

Metric mania
How many shoes would it take to make 1 kilometer

Answers

Answer:

Well since my shoe is 8.5 inches, you will take 4 whole shoes to make a meter. Therefore, you will have to take 4,000 shoes to make a kilometer because 1 kilometer=1000. (:

Step-by-step explanation:

Plz Helpz me, Solve the system of equations x+y=-2,\ 4y=4,\ 4x+2y-4z=-22

Answers

x=-3, y=1, z=3. Explanation: when you divide both sides of the middle equation by, you get y=1. If you put that into the first equation you get x=-3. Put these values into the last equation and you get -12+2-4z=-22. Subtract the two integers and you get -4z=-12 which means z=3

Taylor makes $8 an hour at the pizza place and she is scheduled to work six hours this afternoon. However, Brandon called and wanted to know if she could go out to the movies. Assuming the movies will cost Taylor $10, what is her opportunity cost of going out to the movies?

Answers

Answer:

58

Step-by-step explanation:

im pretty sure its saying like what she is losing by not going to work and how much she is paying for the movie so 8x6 then add the 10

Solve using 2-step equations.
You work as a salesperson at Cutco, and earn only commission. You earn 30%
commission on everything you sell. Your bills this month are $1,800 and you
also want to put $500 into your savings.
How much do you need to sell at your job to make sure you can pay your
bills and still have enough to save?

Answers

Answer:

$7666.7

Step-by-step explanation:

1800 + 500 = 2300. That means that 30% = 2300. If u divide both sides by 3 then 10% = 766.67 times that by ten and then that will equal $7666.7

Determine the measure of the angle labeled (4x + 7)
I'm very confused please help ASAP

Answers

39 degrees is the answer

Answer:

8 degrees

Step-by-step explanation:

4x+7=6x−9

Step 1: Subtract 6x from both sides.

4x+7−6x=6x−9−6x

−2x+7=−9

Step 2: Subtract 7 from both sides.

−2x+7−7=−9−7

−2x=−16

Step 3: Divide both sides by -2.

-2x/-2 =-16/-2

Equals to X=8

5t+1= 9
Please help me​

Answers

Exact Form: t = 8/5

Decimal Form: t = 1.6

Mixed Number Form: t = 1 3/5 (one and three fifths)

Answer:

t = 8/5 or t = 1.6

This will be a fraction buh can be turned into a decimal

Step-by-step explanation:

subtract 1 on both sides 5t + 1 - 1 = 9 - 1

then simplify 5t = 8 after det divide both side 5t/5 = 8/5 and den your answer is t = 8/5...

HOPE DIS HELPS YU OR IS RIGHT!!!!!

If h(x) = x2 + 3x +2. what does f(2) equal?
13
10
12
11

Answers

Answer:

Step-by-step explanation:

h(2) = (2)^2 + 3(2) + 2 = 4 + 6 + 2 = 12

12 is the answer

Given: f(x)=4x-9 and g(x)= 2x-3. What is the value of (f+g)(0)=?

A.-9
B.-10
C.-11
D.-12

Answers

Answer:

D. -12

Step-by-step explanation:

if f=4x-9, and g=2x-3, and the value is (f+g), then we have to add the equations. This is equal to 6x-12. And then, in '(f+g)(0)', it is asking what is the y-value at x=0. Plug in 0 into the equation, and the y-value equals -12.

Help needed ASAP will give BRAINLIEST

Answers

Answer:

Third one

Step-by-step explanation:

Answer:

The answer to your following question is C. I had this one and passed the test have a great day!

Step-by-step explanation:

4x3 =
A) 12
B) 35
C) 15​

Answers

Answer:

12

Step-by-step explanation:

4x3=12

The answer is A, 12.

Is 8.15 a natural number whole number integer rational irrational or real number ?

Answers

Answer:

Rational

Step-by-step explanation:

A rational number is a number expressed as a fraction. So the number could be a decimal or percent.

Hope This Helps :)

8.15 is a rational number

What are some ratios that are not equivalent to 6/9 I need this before 7 pm pacif time!

Answers

Answer:

1:8

33:8

1:1

88:99

6:7

235:9

In the neighborhood 72 families, 18 one or more cats as a fraction then express the fraction as a decimal

Answers

Answer:

poopie

Step-by-step explanation:

Please answer sorry I’m dumb

Answers

Answer:

D

Step-by-step explanation:

Hope this helped and have a great day!

(Ur not dumb)

how to find out L C M of common division method ​

Answers

Step-by-step explanation:

To find the LCM by division method, we write the given numbers in a row separately by commas, then divide the numbers by a common prime number. We stop dividing after reaching the prime numbers. The product of common and uncommon prime factor is the LCM of given numbers.

For example

2 24,12

2 12,6

2 6,3

3 2,1

2 1,1

LCM=2×2×2×3×2

=48

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