Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of $29. For any minutes over 250, Tracy is charged $0.35 per minute. Which of the following piecewise functions represents charges based on Tracy's cell phone plan?

Answers

Answer 1

Answer:

[tex]\frac{29,x\leq 250}{29+0.35(x-250)x\geq 250}[/tex]

Step-by-step explanation:

Let x represent the total time spent calling and f(x) represent the charges.

Since Tracy is charged $29 for 250 free minutes, hence:

For x ≤ 250, f(x) = $29

Tracy is charged an extra $0.35 per minute for calls over 250 minutes, hence:

For x ≥ 250, f(x) = 29 + 0.35(x - 250)

Therefore this can be represented by the piecewise function:

f(x)=  [tex]\frac{29,x\leq 250}{29+0.35(x-250)x\geq 250}[/tex]


Related Questions

In a list of seven consecutive numbers a quarter of the smallest number is five less than a third of the largest number. If x is the smallest number, find expressions for:
a) “a quarter of the smallest number”
b) “five less than a third of the largest number”

Answers

Answer:

Please see the solution.

Step-by-step explanation:

[tex]Since\ x\ is\ the\ smavest\ number,\\ the\ Cavgent\ number\ equals\ to\ x+6.[/tex]

[tex]a)\frac{1}{4}x[/tex]

[tex]b)\frac{1}{3}(x+6)-5=\frac{1}{3}x+2-5=\frac{1}{3}x-3[/tex]

I hope this helps you

:)

is this true or false

Answers

Step-by-step explanation:

im not really sure because there is no question

I’ll give brainiest Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height.

Answers

Step-by-step explanation:

20.32cm=8in.

17.78cm=7in.

volume of cylinder=

[tex] \frac{22}{7} \times 20.32 \times 20.32 \times 17.78 = 23072.99cm ^{3} [/tex]

[tex] \frac{22}{7} \times 20.32 \times 20.32 \times 35.56 = 46145.97cm^{3}[/tex]

PLEASE HELP!! FIND THE AREA OF THE PARALLELOGRAM IN THE IMAGE ABOVE​

Answers

Answer:

36cm square

:)

Step-by-step explanation:

If 23% of "A" is 46 , then find "A"

Answers

Step-by-step explanation:

23percent *A=46

23/100*A=46

A=46*100/23

A=200

answer Is 200

plz follow me

On the track and field team, 38 of the members do the hurdles.
Of the members who do the hurdles, 45 also do the long jump.
If there are 40 members on the track team, how many do both the hurdles and the long jump?
Enter your answer in the box.

Answers

Answer:

your answer would be seven

what is y=-2/3x+5/3 in point-slope form

Answers

Answer:

This is form as y=mx+c, where m is slope line, c is y- intercept

so by comparain

m=-2/3

Find the values of x:

I don’t understand how to do this please help

Answers

Answer:

x = 8

Step-by-step explanation:

11x - 34 and 7x - 2 are vertical angles and congruent, thus

11x - 34 = 7x - 2 ( subtract 7x from both sides )

4x - 34 = - 2 ( add 34 to both sides )

4x = 32 ( divide both sides by 4 )

x = 8

-----------------------

11x - 34 = 11(8) - 34 = 88 - 34 = 54

18y and 11x - 34 are adjacent angles and supplementary , thus

18y + 54 = 180 ( subtract 54 from both sides )

18y = 126 ( divide both sides by 18 )

y = 7

Justin buys a two-quart bottle of juice for $5.12. What is the unit rate of the cost of
the juice per fluid ounce?
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces
Before you try that problem, answer the question below.
How many fluid ounces of juice did Justin buy?

Answers

Answer:

d

Step-by-step explanation:

he bought 12.5

Based on the type of equations in the system, what is the greatest possible number of solutions? StartLayout Enlarged left-brace 1st Row x squared y squared = 9 2nd row 9 x 2 y = 16 EndLayout 1 2 3 4.

Answers

The possible number of solutions to the equations in the system is 2. A solution is a collection of data designated to the unexplored variables.

What is the solution?

A solution is a set of values assigned to the unknown variables that ensure the equation's equality.

To put it another way, a solution is a value or a set of values (one for each unknown) that, when substituted for the unknowns, makes the equation equal.

The given system of equation is;

[tex]x^2+y^2=9[/tex]

The standard equation of the  circle is;

[tex](x-h)^2+(y-k)^2=r^2[/tex]

On comparing the given equation with the standard equation;

The first equation shows the center is at origin(0,0). and radius is 3.

The second equation shows the given equation is a straight line.

As we know that a straight line can only intersect a circle at a maximum of 2 points.

Hence the possible number of solutions to the equations in the system is 2.

To learn more about the solution refer to the link;

brainly.com/question/545403

Paul sat a 2 1/2 hour exam. He finished 13/15 of the way through the exam Calculate the amount of time he had spare at the end, in minutes

Answers

Answer:

20 min

Step-by-step explanation:

The zeros of a polynomial are 3/2 and 2/5. Find the polynomial.

___x²− ___x+6

Answers

Let the zeros of a polynomial be α and β.

Here,

α:- 3/2β:- 2/5

Therefore to find the equation of polynomial we have to do sum of zeros of the polynomial and the product of zeros of the polynomial.

Sum of the zeros of polynomial are :-

[tex] \sf \alpha + \beta = \frac{3}{2} + \frac{2}{5} \\ \\ : \rightarrow \: \frac{15 + 4}{10} = \frac{19}{10} [/tex]

Product of the zeros of polynomial are:-

[tex] \sf \: \alpha \beta = \frac{3}{2} \times \frac{2}{5} \\ \\ : \rightarrow \cancel\frac{6}{10} = \frac{3}{5} [/tex]

We know,

p(x) = x² - (α +β)x + αβ

putting values we get

p(x) = x² - 19/10x + 3/5

Hence, This is the required polynomial.

using the net below find the surface area of the triangular prism.

Answers

Answer:

87 sq in

Step-by-step explanation:

Surface area of the net

[tex] = 3(8) + 3(6) + (2) \frac{1}{2} (6)(5) + (5)(3) \\ \\ = 24 + 18 + 30 + 15 \\ \\ = 87 \: {in}^{2} [/tex]

7/6b + 11/4b = 235/72

Answers

Answer: b = 6/5

..........................

HELP ASAP

Very urgent! 15 points to anyone who answers!!

Answers

Well it looks like here you can’t go over 81 so if you talk the formulas make sure you import the correct numbers to solve this problem

Answer:

it's the first one your correct

What is 250 percent of 14

Answers

Answer:

35

Step-by-step explanation:

2. Describe your strategy for finding the area that needs to be painted. (2 points)
3. Find the area of each shape. Use 3.14 for π. (4 points)








4. What is the total area to be painted? (2 points)

Answers

Answer:

  2. do part 3, then subtract area not painted from the overall area

  3. triangle: 16 ft²; semicircle: 6.28 ft²; rectangle: 48 ft²

  4. 57.72 ft²

Step-by-step explanation:

2.

The area that needs to be painted can be found by determining the overall area of the shape and subtracting the area that is not painted.

__

3.

The area of the triangle is given by the formula:

  A = 1/2bh

  A = 1/2(8 ft)(4 ft) = 16 ft²

The area of the semicircle is ...

  A = 1/2πr²

  A = 1/2(3.14)(2 ft)² = 6.28 ft²

The area of the rectangle is ...

  A = bh

  A = (8 ft)(6 ft) = 48 ft²

__

4.

The triangle and rectangle are painted. They constitute the overall shape of the set piece. The semicircular window is a hole, so does not need to be painted. Then the painted area is ...

  triangle area + rectangle area - semicircle area

  = 16 ft² +48 ft² -6.28 ft² = 57.72 ft² . . . painted area

Please help gang gang

Answers

Answer:

A, a centimeter is smaller so therefore it is more accurate.

kindly need some answers

Answers

Angle A = 100 (supplementary to the 80 angle)
Angle D = 100 (same reason)
Angle I = 130 (supplementary to the 50 angle)
Angle K = 100 (supplementary to angle H, and angle H = 80 since it is corresponding to the 80 angle)
Angle E = 80 (supplementary to angle A, and angle A = 100)

Note : Supplementary angles add up to 180, and corresponding angles are equal to each other. (with the condition of 2 lines are parallel to each other.)

Answer:

Angle A = 100

Angle D = 100

Angle I = 130

Angle K = 100

Angle E = 80

Step-by-step explanation:

Maya has 120 caramel apples to sell. Each caramel is covered with one topping. 1/5 of the caramel apple are covered with peanuts 1/3 are covered with chocolate chips 3/10 are covered with coconut The rest with sprinkles How many caramel apples are covered with sprinkles

Answers

Answer:

20 caramel apples are covered with sprinkles

Step-by-step explanation:

Let the fraction representing total number of apples = 120 = 1

We are told in the question:

1/5 of the caramel apple are covered with peanuts 1/3 are covered with chocolate chips 3/10 are covered with coconut The rest with sprinkles

Hence:

1 = 1/5 + 1/3 + 3/10 + Sprinkles

Sprinkles = 1 - (1/5 + 1/3 + 3/10)

LCM = 30

1 - (6 + 10 +9/30)

1 - 25/30

1 - 5/6

Fraction of caramel apples covered sprinkles = 1/6

The number caramel apples covered with sprinkles = 1/6 of 120 caramel apples

= 1/6 × 120

= 20 caramel apples are covered with sprinkles

If the perimeter of a rectangular room of 5 m high is 26 m, what will be the area of four walls of the room?​

Answers

P=2(l+b)
Or,26=2(l+b)
Or,l+b=26/2
.
. .l+b=13
Now,
Area of 4 walls=2h(l+b)
=2*5(13)
=130

Please just answer 14 please.

Answers

Answer:

length needs to be >10

Step-by-step explanation:

If we put 10 as the length as 10 it would equate to 50 square inches

but the question asks for greater than 50

therefore the length needs to be more than 10

Make a table for the equation.

The first row is an example.

Answers

Answer:

Substitute the given values of x into the given equation to find the values of y:

when x = -8

[tex]y=\dfrac54(-8)+1=-9[/tex]

Point = (-8, -9)

when x = -4

[tex]y=\dfrac54(-4)+1=-4[/tex]

Point = (-4, -4)

when x = 0

[tex]y=\dfrac54(0)+1=1[/tex]

Point = (0, 1)

when x = 4

[tex]y=\dfrac54(4)+1=6[/tex]

Point = (4, 6)

when x = 8

[tex]y=\dfrac54(8)+1=11[/tex]

Point = (8, 11)

2.
1. Which of the following translations is needed to
carry preimage ARST to its image AR'S'T'?
Ay
5
SY
7
-5
5
R'
1
R
-
ロロロ
A (x,y) → (x +3, y + 4)
B (x,y) → (x - 4, y + 3)
C (x,y) → (x + 5, y + 3)
D (x,y) → (x-5, y - 3)
-
Need help

Answers

Answer:

B

Step-by-step explanation:

consider the coordinates of T and T'

T (1, - 2 ) and T' (- 3, 1 )

1 → - 3 in the x- direction is - 4

- 2 → 1 in the y- direction is + 3

then the translation rule is (x, y ) → (x - 4, y + 3 )

Simon is doing an obstacle course in gym class. First, he runs 500 meters and jumps over a hurdle. Then, he crawls through a 20-meter tunnel. Finally, he dribbles a soccer ball 100 meters to the finish line. How many kilometers long is the obstacle course?

Answers

It isn’t a full kilometer it is .62 of a kilometer.

What is the equation of the line that passes through the point -4, —8) and has a
slope of 4?

Answers

Answer:

y = 4x + 8

Step-by-step explanation:

A linear formula always follows by y = mx + c, where m is the gradient and c is the y-intercept or constant.

Since you know that the slope is 4, all you need to do is find the y-intercept (constant)

y = 4x + c

Sub in the points (-4, -8)

-8 = 4(-4) + c

-8 + 16 = c

c = 8

Hence, y = 4x + 8

helpp 50 points






What must be true for lines a and b to be parallel lines? Select two options.

Answers

Answer:

The two answers that you have are correct: m<1=(4x-10) and m<2=58

Step-by-step explanation:

Answer:

A & B

mAngle1 = (4 x minus 10) degrees

mAngle2 = 58Degrees

Step-by-step explanation:

I GOT ONE QUESTION WRONG ON THE QUIZ BUT IT WASNT THIS ONE SO WOO

A nonagon has angles that measure 150°, 130°, 130°, 150°, 140°, 140°, 150°, 130°, and d. What is d?

Answers

Answer:

d = 140°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a nonagon has 9 sides , then

sum = 180° × 7 = 1260°

sum the angles and equate to 1260

150° + 130° + 130° + 150° + 140° + 140° + 150° + 130° + d = 1260°, that is

1120° + d = 1260° ( subtract 1120° from both sides )

d = 140°

A triangle has sides with lengths of 11 inches, 18 inches, and 20 inches. Is it a right triangle?

Answers

yes IF

20² = 11² + 18²

20² = 400

and

11² + 18² = 121 + 324 = 445

so NOT a right triangle

There are 12 third-grade students and 15 fourth-grade students in the band.
They will travel to a concert in cars that can hold 4 students each. Which of
these can be used to find out how many cars are needed to drive the students?

Answers

Answer:

The answer is the first one (12+15) / 4

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