A cell phone plan charges $19.90 a month, plus $0.05 per text message

Create & solve an inequality that represents the number of texts, t, that can be

sent while still keeping the monthly bill under $25?

Answers

Answer 1

Answer:

[tex]19.9+0.05t<25[/tex]

Less than 102 text messages.

Step-by-step explanation:

Monthly charge of cell phone = $19.90

Cost of one text message = $0.05

Let number of text messages be [tex]t[/tex]

The monthly bill should be less than $25. So,

[tex]19.9+0.05t<25[/tex]

The required inequality is [tex]19.9+0.05t<25[/tex]

[tex]19.9+0.05t<25\\\Rightarrow 0.05t<25-19.9\\\Rightarrow t<\dfrac{5.1}{0.05}\\\Rightarrow t<102[/tex]

So, the number of text messages that can be sent while keeping the bill under $25 is less than 102.


Related Questions

a fruit company delivers its fruit in two typed of boxes: large and small. A delivery of 2 large boxes and 3 small boxes has a total weight of 72 kilograms. A delivery of 6 large boxes and 5 small boxes has a total weight of 162 kilograms. How much does each type of box weigh?

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A fruit company delivers its fruit in two types of boxes: large and small. A delivery of
2
large boxes and
3
small boxes has a total weight of
83
kilograms. A delivery of
4
large boxes and
8
small boxes has a total weight of
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My work is down below.download the pdf and look at it.Please answer it!

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Hmmm blank picture :/

What is the solution to the system of equations
Y=x+6
Y= -0.5x+3

Answers

Answer:

[tex]y = 4 \\ x = - 2[/tex]

Which of these statements are correct about two parallel lines in a coordinate plane? Select three that apply.

Answers

Answer:

Step-by-step explanation:

What is the area of the triangle? ​

Answers

Answer:

10

Step-by-step explanation:

1/2×(-2-(-7))×(6-(-4))

8+8+8=24 as multiplecation sentence

Answers

Answer

Hola la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

⚠️⚠️⚠️PLEASE ANSWER ASAP ILL GIVE BRAINLIEST ⚠️⚠️⚠️

Select all of the applicable transformations from the parent function y=x^2 to y=-(x+2)^2-3

reflection

vertical translation up 2

vertical translation down 3

vertical translation up 3

horizontal translation left 3

horizontal translation right 2

horizontal translation left 2

compression by a factor of 3

stretch by a factor of 2

Answers

Answer:

reflection

vertical translation down 3

horizontal translation right 2

Step-by-step explanation:

Given

[tex]y = x^2[/tex] ---> Parent function

[tex]y = -(x+2)^2-3[/tex]

Required

All possible transformations

First, the parent function is reflected across the x-axis:

This gives:

[tex]y = x^2[/tex] [tex]==>[/tex] [tex]y =-x^2[/tex]

Next, it is translated horizontally right by 2

The rule is:

[tex](x,y)==>(x+2,y)[/tex]

So:

[tex]y =-x^2[/tex] [tex]==>[/tex] [tex]y = -(x +2)^2[/tex]

Lastly: it is translated vertically down by 3

The rule is:

[tex](x,y)==>(x,y-3)[/tex]

So:

[tex]y = -(x +2)^2[/tex] [tex]==>[/tex] [tex]y = -(x +2)^2 - 3[/tex]

18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0)

Answers

Answer:

a. m = -1, y-int = 0

b. m = 2/3, y-int = -5/3

c. m = -1/2, y-int = 2

Step-by-step explanation:

-Expand equations on both sides.

-Make 'y' the subject by collecting like terms and moving everything to the right, e.g. y = ...

-Slope is the number in front of x.

-Find y-intercept by letting x = 0 and solve the equation.

what is the slope of the line through the points (-2,-1) and (4,3)

Answers

Answer:

2/3

Step-by-step explanation:

the slope is change of y divided by change of x

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

Step-by-step explanation:-

[tex]( - 2, - 1) = (x {1} ,y {1}) [/tex]

[tex](4,3) = (x{2} ,y{2} )[/tex]

BY USING SLOPE OF LINE FORMULA

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{(3 - ( - 1))}{(4 - ( - 2))} [/tex]

[tex]m = \frac{(3 + 1)}{(4 + 2)} [/tex]

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

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

An experiment consists of spinning the spinner once. a: Find the probability of landing on a 2. b: find the probability of landing on a 1. c: Is landing in each section of the spinner equally likely to occur? Explain.

Answers

Answer:

points

Step-by-step explanation:

What is the slope of the line ?(khan academy)

Answers

Answer:

The slope of the line is 2.

Step-by-step explanation:

Slope of a line:

Suppose that we have two points. The slope of the line is given by the change in y divided by the change in x.

In this question:

Points (0,0) and (1,2)

Change in y: 2 - 0 = 2

Change in x: 1 - 0 = 1

Slope: [tex]m = \frac{2}{1} = 2[/tex]

The slope of the line is 2.

Malik purchased a pair of roller blades that were originally priced at $250 for a sale price of
$180. He charged the roller blades on his credit card and made the minimum monthly
payment of $20. When he received his first statement, he read that the minimum finance
charge for each month that there was a balance on the card would be $15. How many
months will Malik need to pay off the roller blades? (Assume that a minimum finance
charge of $15 will apply to all balances of $250 or less.)

Answers

Answer:f he made a first payment of $20 shortly after the purchase, he would have a balance of $180-$20=$160, before they applied the first $15 finance charge, but he will see a balance of $180-$20+$15=$175 (with the finance charge) in that first statement.

Each month, his balance will change by -$20+$15=-$5, so it will take him, another 32 payments to reduce that $160 to $0. That month, he will pay the $20 balance to get a balance of zero, and hopefully see no more finance charges.

In all, paying the minimum $20 payment each month, Malik will make 33 such payments for a total of $660. If he saved $20 per month, he could have saved $180 in 9 months, or $260 in 13 months, and he would have saved a lot of money. He would probably have to pay the $250 regular price, and would have missed about a year of roller blading, but he would have saved $660-250=$410.

Step-by-step explanation:


1. Observa el siguiente conjunto de enteros (-1,0, 1)

A. ¿Cuál de las propiedades de los números reales son verdaderas
para el conjunto?

Answers

Answer:

no hablo espanol papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas

Step-by-step explanation:

PLS HELP WILL GIVE BRAINLESS

Answers

Answer:

1a. 3/8

1b. 4/12-1/3

Step-by-step explanation:

to get the answers you have to find a common denominator and then add them

Answer:

The answer would be

a) 3/8

b) 1/3

Find the measure of 2.
63° 117°
62 = [?]
Enter

Answers

Answer:

63°

Step-by-step explanation:

Angle <2 and the angle with measure of 63 are alternate exterior angles and has same measurement.


I need help the question is what is the are of the composite figure

Answers

Answer:

Option 4

Step-by-step explanation:

Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the bases and 'h' is the height between the bases.

Area of the composite figure = Area of two trapezoids given

                                                = [tex]\frac{1}{2}(12+12)14+\frac{1}{2}(25+31)11[/tex]

                                                = [tex]\frac{1}{2}(24)(14)+\frac{1}{2}(56)(11)[/tex]

                                                = 168 + 308

                                                = 476 square ft

Option 4 is the answer.

The following expression represents the profit made by John as he mows
lawns: P = 20L - 100
Which description correctly interprets each part of the expression?

Answers

Answer:

P is price per lawn, 20 is the money made per lawn, L is the number of lawns mowed, 100 is his initial cost.

Step-by-step explanation:

explain the answer to 481.5÷45

Answers

Its simple this is your answer
10.7

Answer:

10.7

Step-by-step explanation:

10.7

    - 45

         31

        -00

         315

        -315

          00

b + 10 = 60

Choose the answer that shows what to do in the process step, and what the solution (answer is).

Question Options:

add 10; b = 50

subtract 10; b = 50

multiply by 10; b = 50

divide by 10; b = 50

Answers

Subtract 10; b=50

If it's a sum then you need to subtract

Answer:

B

Step-by-step explanation:

taka is playing a game of darts. she scores 52 points. in the game she is playing, she gets a -3 score each time she misses the board. her final point total is 37. write and solve an equation to find out how many times she missed the board

Answers

Answer:

5

Step-by-step explanation:

52-37 is 15 . divide by 3 and u get five

Zander found these coins in his Couch

Answers

Answer:

91 cents

Step-by-step explanation:

3 quarters+3 nickel+1 penny=91 cents

Answer:

91 cents

Step-by-step explanation:

3 quarters=75c

3 nickels=15c

1 penny=1c

75c+15c+1c=91 cents

4) An arithmetic sequence has a 7th term of 54 and a 13th term of 94. Find the common difference

Please answer!!

Answers

Answer:

20/3

Step-by-step explanation:

Every nth term takes the form of  a + n*d, where a is the first  term.

So 7th term = (54 = a + 7d), 13th term = (94 = a + 13d).

equate them both:

94 - 13d = 54 - 7d

40 = 6d

d = 40/6

A rectangle has a length of 18 11/12 ft and a width of 5 1/2 ft. What is the area?​

Answers

Answer:

104.04 ft.²

Step-by-step explanation:

length times width

Answer:

104.042

Step-by-step explanation:

area of rectangle=length*width

HELPPPPPPPPP MATH PLEASE

Answers

Answer: 14

Step-by-step explanation:

Answer:

12 units^2

Step-by-step explanation:

The triangle on the left has an area of 2, the square has an area of 4 and the triangle on the right has an area of 6.

Add these up to get 2+4+6 = 12

In the cafeteria, there are 50 seats, of which, 22 seats are empty and 28 seats are occupied.
What is the ratio of occupied seats to empty seats?
14:25
a
11:25
11:14
14:11

Answers

Answer

2

Step-by-step explanation:

The local park has a circular pond with a radius of 9 feet. What is the pond's circumference?

Answers

Answer:

Using 3.14 as pi, the answer would be 56.52, and using just pi (as in the input on a calculator) would be 56.54867.

Step-by-step explanation:

The equation for circumference of a circle is C = πd, C representing the circumference and d representing the diameter. Since the equation shows the radius, the equation can also be C = 2πr, since the radius is half of the diameter. Multiply nine by two to get eighteen. 18 times 3.14 = 56.52.

This is Adeles solution for the equation x^2+8x- 9 = 0 Step 1 x^2 +8x = 9 Step 2 x^2 +8x + 16 = 9 + 16 Step 3 ( x + 4 ) ^2 = 25 Step 4 x + 4 = 25 or x + 4 = - 25 Step 5 x = 21 or x = - 29. Where did Adele make her mistake? What are the solutions to this equation? Show all of your work. 2. Which would be the best method to use to solve the following equation. Explain your reasoning. A x^2 - 49 = 0 B. x^2 - 3x - 4 = 0 C. x^2 - 2x - 6 = 0 ​

Answers

Answer:

Adeles forgot to square root 25 in step 4 therefore the solutions would be 1 and -9

Step-by-step explanation:

Equation : x² + 8x - 9 = 0

Step 1 : x² + 8x = 9

Step 2 :  x² + 8x + 16 = 9 + 16

Step 3 :  ( x + 4 )² = 25

Step 4 :  x + 4 = 25 or x + 4 = - 25

Step 5 :  x = 21 or x = - 29.

how many different ways can you find for 7 coins totaling 95 cents?​

Answers

Answer:

one way

Step-by-step explanation:

2 quarters

4 dimes

1 nickel

What is the GCF of 22 and 32?

Answers

Answer:

The GFC of 22 and 32 is 2

Step-by-step explanation:

Expand (2x - 5)4 with the help of Pascal's triangle

Answers

Answer:

8x-20

Step-by-step explanation:

8x-20

(2x-5)4 2x*4

8x- 4*5

8x-20

Answer:

Answer:(2x-5)4

Answer:(2x-5)42x=20

Answer:(2x-5)42x=20or,x=20/2

°°°x=10

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