Your friend needs your help. His parents have told him that it is time for him to start paying for his own cell phone. After completing some research on the internet, you have narrowed down his options. Option 1 charges $0.30 for each cell phone call and $25 for unlimited text messaging. Option 2 charges a flat rate of $40.

Which plan is the best option?​

Answers

Answer 1

Answer:

For less than 50 calls, option 1 is the best, while for more than 50 calls, option 2 is the best.

Step-by-step explanation:

Option 1:

For n calls, the cost is given by:

[tex]C_{1}(n) = 25 + 0.3n[/tex]

Option 2:

The cost is flat of 40, so [tex]C_{2}(n) = 40[/tex]

Which plan is the best option?​

Depends on the number of calls, as for a high number, [tex]C_1[/tex] will be higher than [tex]C_2[/tex]. We have to find this number. So

[tex]C_{1}(n) > C_{2}(n)[/tex]

[tex]25 + 0.3n > 40[/tex]

[tex]0.3n > 15[/tex]

[tex]n > \frac{15}{0.3}[/tex]

[tex]n > 50[/tex]

This means that for less than 50 calls, option 1 is the best, while for more than 50 calls, option 2 is the best.


Related Questions

Work out 27 ÷ 9 + 9
Work out 4 + 5 x 3
Work out -9 + -4
) Work out 9 - -5

Answers

Answer:

1. 27/9=3+9=12

2. 4+5x3=5x3=15+4=19

3. -9+-4=-13

4. 9--5=14

Find c. Round to the nearest tenth. Laws of sines

Answers

9514 1404 393

Answer:

  c ≈ 56.3 cm

Step-by-step explanation:

I find it convenient to turn the given equations upside down. Then you just need to multiply by sin(C) to get the solution.

  c/sin(C) = b/sin(B)

  c = b·sin(C)/sin(B) = (27 cm)sin(102°)/sin(28°)

  c ≈ (27 cm)(0.978/0.469)

  c ≈ 56.3 cm

Help please!
What is the volume of a rectangular prisim with the following dimensions?
Length= 4
Width= 3
Height= 10​

Answers

Answer:

120

Step-by-step explanation:

so volume = l*w*h

= 120

if my answer helps please mark as brainliest.

Answer:

120³

Step-by-step explanation:

Hi!

This is very easy you just need to know the formula for finding the area of a rectangular prism. I attached something to help you with that but I also have an explanation.

The formula to find the area of a rectangular prism is L x W x H,

or in full words Length x Width x Height.

So now lets see what the problem has given us so we can plug things in.

Length = 4

Width = 3

Height = 10

Wow, it gives us all of it!

So now we just have to plug these numbers into the equation and solve.

So :

Length x Width x Height

   4       x     3    x     10

Now we solve it :

4 x 3 = 12

And then we take 12 and multiply it by the last 10 in the equation.

12 x 10 = 120

And that is your answer, the volume of the rectangular prism!

Make sure to add a ³ after the 120 like so :

120³

This tiny 3 represents volume in math since the shape is 3D.

And if there are units of measurement involved like feet or inches make sure to put that in there as well like so :

120 feet³

I hope this helps!

If you have any questions or concerns please comment or feel free to message me! :)

Solve for u

U/9= 4/6

Answers

the answer is 6............

Answer:

U=6

Step-by-step explanation:

U/9= 4/6

Both side multiply 9

U=4*9/6

U=36/6

U=6

Match each statement with the correct reasoning in the proof below given: AM = CM BM=DM

Answers

Answer: I think it’s cm = b, I think your image is very hard to see

Step-by-step explanation:

The given quadrilateral is a parallelogram.

What is a parallelogram?

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

The proof is as follows;

          STATEMENTS                                       REASONS

1)  AM = CM and BM = DM                                    Given

2) m ∠ AMB = m ∠ DMC and

m ∠ AMD = m ∠ BMC                          Definition of Vertical angles

3) Δ AMB ≅ Δ DMC and

Δ AMD ≅ Δ BMC                                 By SAS congruency criterion

4) AB = CD and

BC = AD                                                BY CPCTC

5) ABCD is a parallelogram                If both pairs of opposite sides of a                                      

                                                           quadrilateral are congruent then it is    

                                                                           a parallelogram.

Hence, proved, ABCD is a parallelogram.

For more references on parallelograms, click;

https://brainly.com/question/29147156

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Drag numbers to show which are closer to -3/5 and 4/5 on the number line.

Answers

Answer:

closest to -3/5 is -4/5. closest to 4/5 is 0.6

Step-by-step explanation:

Answer:

-4/5 in the first

.6 in the second

Step-by-step explanation:

it was correct

x/5 + 20 = 20.1

5x + 20 = 20.1

Answers

Answer:

No solution

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

a) The value of x in equation (a) is x = 0.5.

b) The value of x in equation (b) is x = 0.02.

Let's solve the equations for the value of x:

a. X/5 + 20 = 20.1

Step 1: Subtract 20 from both sides to isolate the term with x:

X/5 = 20.1 - 20

Step 2: Simplify the right side:

X/5 = 0.1

Step 3: To solve for x, multiply both sides by 5:

X = 0.1 * 5

X = 0.5

So, the value of x in equation (a) is x = 0.5.

b. 5x + 20 = 20.1

Step 1: Subtract 20 from both sides to isolate the term with x:

5x = 20.1 - 20

Step 2: Simplify the right side:

5x = 0.1

Step 3: To solve for x, divide both sides by 5:

x = 0.1 / 5

x = 0.02

So, the value of x in equation (b) is x = 0.02.

To know more about value:

https://brainly.com/question/15883630

#SPJ2

Complete question is:

Solve the given equations for the value of x:

a. X/5 + 20 = 20.1

b. 5x + 20 = 20.1

Davita can jog 2,000 feet in 4 mins. If she jogs at the same rate, how many feet can she jog in 8 mins?

2,000 ft.
3,000 ft.
4,000 ft.

Answers

The answer is 4,000 ft. Hope it helped you out

The sum of two numbers is -35. The difference of the two numbers is -29. What are the two numbers?

Answers

Answer:

22  on now

Step-by-step explanation:

11+11


pls help pls pls hii lol bye hahaha math fractions lol. videostar

Answers

3/15 because 3 x (5) =15

What is the complement of a 89° angle?

Answers

Answer:

the supplement of 89° is the angle that when added to 89° forms a straight angle (180° )

Step-by-step explanation:

hope this helps have a good rest of your night/day :) ❤

The complementary angle of 89° is 1°. Complementary angles are angles pairs that if are added will equal 90°.

Tatiana's book has an area of 88 square inches. what are the length and wide measurements of the book​

Answers

A= l•w

So you can make it in any way! The one I got is 44•4 because

A= l•w
A= 4•22
A= 88

So I guess it depends on the way you want it as long as it equals 88 as long as you length and width are multiplied to make the 88, if you host what I mean!

-9(x+2)=54 apply the distributive property and simplify ​

Answers

Answer:

x = -8

Step-by-step explanation:

-9 (x+2) = 54

-9x - 18 = 54

-9x = 72

x = -8

Hope this helps :)

Let me know if there are any mistakes!!

250 decreased by 35%

Answers

Answer:250, percentage decreased by 35% (percent) of its value = 162.5

if f(2)=4, then f-1(4)= what?

Answers

Answer:

12

Step-by-step explanation:

f = 2

2(2) =4

2-1(4) = 12

Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of salt does Debnil have?

Answers

Answer:

2 table spoons

Step-by-step explanation:

you have six teaspoons, and a ratio of 3:1, so if you use that, then times the three by two, and theres your six teaspoons, and then that means 2 table spoons!

what fractional part is black?

Answers

Answer:

Step-by-step explanation:

A =5/8. B=2/4. C=4/10. D= 3/6. Hope this helped!

Help ASAP!! I’m confised and need help. What is angle 1 in the picture called?? Thanks!!

Answers

Answer:

obtuse angle

Step-by-step explanation:

as it is angle 1 is greater than 90

For parallelogram ABCD, find m<1

Answers

Answer:

b

Step-by-step explanation:

the answer is

the angel m<1= 36°

The measure of angle m<1= 36°.

What is a parallelogram?

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

WE are given that angle CAD = 36 degree

So, we know that parallelogram has parallel opposite sides.

Thus according to alternate interior angle we can say that;

angle CAD = angle m<1 = 36

therefore, the measure of angle m<1= 36°

Learn more about parallelogram;

https://brainly.com/question/24224186

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(3,2), (3,5)
Find the equation in slope-intercept form of the line passing through the points with the given coordinates

Answers

Step-by-step explanation:

The equation for the slope-intercept is y =3x-4

50 POINTS PLEASE HELP! Write g (x)=2f (x) as a piecewise function f (x) is defined as follows:
SEE PICTURE

Answers

Step-by-step explanation:

Since g(x) = 2f(x), we apply scalling parallel to the y-axis by a factor of 2 onto f(x).

For x + 6 if x < 2,

It becomes 2(x + 6) if x < 2.

We have 2x + 12 if x < 2.

For x² + 4x - 15 if 2 <= x <= 5,

It becomes 2(x² + 4x - 15) if 2 <= x <= 5.

We have 2x² + 8x - 30 if 2 <= x <= 5.

For 5 - x if 5 < x,

It becomes 2(5 - x) if 5 < x.

We have 10 - 2x is 5 < x.

The answer is the 1st option.

kayla spent 1/6 of her money on clothes. She had $250 remaining. What was the cost of the clothes Kayla bought?

Answers

Answer

$50

Step-by-step explanation:

Rectangle RSTW has diagonals RT and SW that intersect at Z. If RZ=5x+8 and SW=11x−3, find the value of x.(1 point) x=13 x=19 x=116 x=11

Answers

Here’s my answer and the process of how I solved it.

what is surface area of

Answers

Answer:

27.199918 cm2

Step-by-step explanation:

Hope this helps

Reduce the ratio to its lowest form 12:30​

Answers

Answer:

2/5

Step-by-step explanation:

Reduced fraction: 25. So, 12/30 simplified to lowest terms is 2/5.

Hope this helps!

Identify the first 4 terms in the arithmetic sequence given by the explicit formula f(n) = 8+3(n-1)

Answers

This could be wrong but here is my answer:

8, 11, 14, 17

witch number is composite 5,2,11,9

Answers

Answer:

9 is the composite number.

Step-by-step explanation:

A composite number is a positive integer that can be formed by multiplying two smaller positive integers.

50 POINTS FOR THIS I WILL ALSO MARK BRAINLIEST

Points A and B have opposite x-coordinates but the same y-coordinates.

On a coordinate plane, point A is 2 units to the left and 3 units up. Point B is 2 units to the right and 3 units up.

How many units away are each of the points from the y-axis?
2
3
4
5
PLZ HURRY ITS TIMED

Answers

Answer:

I think 5

Step-by-step explanation:

A 30- foot tree broke from its base and fell against a house. If the tree touches the house at a height of 21 feet, how far is the base of the tree from the house? Leave your answer in the simplest radical form.

Answers

Oh, well if it isn’t slope! I used to do this don’t cheat kiddo figure it out


Can anyone help with expanding this?

Answers

Answer:

log(4) +3 log(x) +7 log(y)

Step-by-step explanation:

Hope it helps!

Answer:

4×6_7482&÷&&÷,geggeve

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