AT&T charges $350 to get a plan with them, plus $60 per month. T-Mobile charges a $275 initial fee, plus $80 per month. Write an equation or inequality that can be used to determine the number of months it would take for T-Mobile to cost the same or more than AT&T.

Answers

Answer 1

Given :

AT&T charges $350 to get a plan with them, plus $60 per month.

T-Mobile charges a $275 initial fee, plus $80 per month.

To Find :

Write an equation or inequality that can be used to determine the number of months it would take for T-Mobile to cost the same or more than AT&T.

Solution :

Money-time relation of plan AT&T :

[tex]M_1 = 60x + 350[/tex]

Money-time relation of plan T-Mobile :

[tex]M_2 = 80y + 275[/tex]

( Here, x and y are number of months )

Let, after t months would take for T-Mobile to cost the same or more than AT&T.

So, [tex]M_2\ge M_1[/tex]

[tex]80t+275 \ge 60t + 350\\\\20t \ge 350 - 275\\\\20t \ge 75\\\\t \ge 3.75[/tex]

Hence, this is the required solution.


Related Questions

Olivia started her banking account with $100 and is increasing the account $20 per month. Which function is correct?

f(x) = 100 + |20x|
f(x) = 20x + 100
f(x) = 100x; f(x) = 20x; f(x) = x
None of the choices are correct

Answers

the answer is b correct setup

Carlos sold 6 cellphones every hour during the day, but in the morning he already ha $1,250 in the register. What is the expression that represents the total amount of money that he should have in the register in a given hour?

A: $1250
B: 6x
C: 6x + 1250
D: 1250x + 6

Answers

Answer: 6x+1250

Step-by-step explanation:

Amount already in the register = $1250

Number of phones sold every hour = 6

Price of the phone = x

The expression that represents the total amount of money that he should have in the register in a given hour will be:

= $1250 + $6x.

Therefore, option C that is 6x + 1250 is the correct answer.

Which of the following is a possible value for X

Answers

Answer:

E)3

Step-by-step explanation:

4/3-1=2

3+1/2=2

First, You cross multiply.

(x - 1)(x + 1) = 8

x^2 - 1 = 8

Now subtract 8 from both sides.

x^2 - 9 = 0

x^2 - 9 is a difference between 2 squares.

(x + 3)(x - 3) = 0

For an equation with only multiplying to be equal to 0, one of its factors must be 0.

So either x + 3 = 0 or x - 3 = 0.

So x could be -3 or 3.

The answer is (E).

Hope this helps!

The frequency distribution shows the number of registered motor vehicles for a random sample of 200 California households.

(a) Find the mean number of registered vehicles per California household.
Answer:
____vehicles
(b) Find the median number of registered vehicles per California household.
Answer:
___vehicles

Answers

Answer:

1). Mean = 2.275

2). Median = 2 vehicles

Step-by-step explanation:

From the given table,

Number of vehicles (x)         Frequency (f)      (f)×(x)             Cumulative freq.

                  0                                    11                  0                           11

                  1                                     52                52                        63

                  2                                    66                132                      129

                  3                                    35                105                      164

                  4                                    19                  76                       183

                  5                                    12                  60                       195

                  6                                     5                  30                       200

                                                                          [tex]\sum (f\times x) = 455[/tex]

Number of households = 200

Mean = [tex]\sum \frac{f.x}{n}[/tex]

          = [tex]\frac{455}{200}[/tex]

         = 2.275

Median = value of [tex]\frac{(n+1)}{2}th[/tex] observation

             = value of [tex]\frac{201}{2}th[/tex] observation

             = Value of 100.5th observation

             = Since 100.5th observation lies in the row of cumulative freq. = 129

             = 2

Therefore, median number of registered vehicles per California household

= 2 vehicles

IF YOU ANSWER CORRECTLY I WILL GIVE YOU BRAINLIEST. Can someone give me the answers to this: CLOSURE REVIEW CL A-98 thru CL 108
Todays the last day of the quarter and I really need to turn it in but I cant focus.

Answers

Answer:

nfw

Step-by-sntep explanation:

fwjfba

Yo can someone please help me.

Answers

Answer:

44670

Step-by-step explanation:

5.67*1000+3.9*10000

Mt. Young bought some hamburgers for his cookout. The price was $32,17, but, le found that hamburger parties were on special for $22.692. What was hubs DOcent Bio
A $3.20
B. 29.68%
OC45%
D. $87.25

Answers

B- 29.68%
A is too little
C is too much off
D is way too much
So B is your answer

banana cheese salad with cheese on top

Answers

Step-by-step explanation:

question is notcorrect

Answer:

[tex]x<-5[/tex]

Step-by-step explanation:

[tex]4-x<9[/tex]

Subtract 4 to both sides

[tex]x<-5[/tex]

Hope this helps and pls do mark me brainliest if you can:)

What’s is the absolute value of -6? use the number line to help answer the question.


Please help I’ll mark you brainliest and give you a good rating!

Answers

Answer:

6

Step-by-step explanation:

So, the absolute value of −6 will be the distance from −6 to 0 on the number line, and it is 6.

Answer:

C (6)

Step-by-step explanation:

The absolute value of -6 is 6 since it's 6 spots away from the 0 on the number line

3(7 + x) verbal expression

Answers

Answer:

21+3x

Step-by-step explanation:

multiply the 3 by everything inside the parentheses

Which of the following can x be equal to? –1 1 –2 3
plss help

Answers

Answer:

-2 I think hopefully that is right

Answer:

-2 and 3

Step-by-step explanation:

edge2020

the water park is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips
there. The senior class at High School A rented and filled 10 vans and 8 buses with 472 students. High School B rented and filled 9 vans and 8 buses
with 456 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Sort the steps in order to solve this system of equations.

Answers

Answer:

The sorted steps are;

1) Write the equations: 10·x + 8·y = 472 and 9·x + 8·y = 456

2) Multiply to get one variable to eliminate: -90·x - 72·y = -4248 and 90·x + 80·y = 4560

3) Eliminate x's: 8·y = 312

4) Solve for y: y = 39 (39 buses)

5)Plug back in to find x: 10·x + 8·(39) = 472

6) Solve for x: x = 16 (16 vans)

Step-by-step explanation:

Let x = The number of students in each van and y = The number of students in each bus

We have;

For High School A;

10·x + 8·y = 472...(1)

For High School B;

9·x + 8·y = 456...(2)

Multiply equation (1) by (-9) and equation (2) by 10 to get

(10·x + 8·y) × (-9) = 472 × (-9)

-90·x -72·y = -4,248...(3)

9·x + 8·y × (10)= 456 × (10)

90·x + 80·y = 4,560...(4)

Add equation (3) to (4) gives;

-90·x -72·y + 90·x + 80·y = -4,248 + 4,560

90·x - 90·x -72·y + 80·y = -4,248 + 4,560

8·y = 312

y = 312/8 = 39

y = 39

Substituting the value of y in equation (1), gives;

10·x + 8·y = 10·x + 8 × 39 = 472

10·x + 312 = 472

10·x  = 472 - 312 = 160

10·x  = 160

x = 160/10 = 16

x = 16

The number of students in each van = x = 16 students

The number of students in each bus = y = 39 students.

need help ASAP, failing my classes atm stuggling in math

Answers

It’s b, use Desmos it helps a lot with this types of questions

Answer:

la respuesta es—6

esperó que te sirva

show how the point at (4,5) on the graph of f(x) translates for f(x-2)+7​

Answers

Answer:

The point at (4,5) on the graph of f(x) translates for f(x-2)+7​ is (6,12)

Step-by-step explanation:

Function of graph : f(x)

Rule : f(x)→f(x-c)

When the graph shifts to right by c units

Coordinates (x,y)→(x+c,y)

Rule : f(x)→f(x)+c

When the graph shifts up by c units

Coordinates (x,y)→(x,y+c)

So, Graph f(x-2)+7

Now given graph f(x)

Shift this right by 2 units and then shift up by 7 units

So, f(x)→ f(x-2)+7

Now , Translation of point(4,5)

Using rule :

When shift by 2 units right

(4,5) →(4+2,5)=(6,5)

Now  shift up by 7 units

(6,5) →(6,5+7)=(6,12)

So, the point at (4,5) on the graph of f(x) translates for f(x-2)+7​ is (6,12)

Solve for x plz show all the work. x/3=6

Answers

Answer: x=18

Step-by-step explanation:

X/3=6

We want to get x alone so we multiply both sides by 3

X=18

I have 4 and 11/12 . how much do i need to add to get 6 and 1/2

Answers

Answer:

= 1 7/12

Step-by-step explanation:

6 1/2 - 4 11/12 =

6 6/12 - 4 11/12 =

5 18/12 - 4 11/12 =

=1 7/12

To check if the answer is right or wrong, you can add 1 7/12 to 4 11/12

4 11/12 + 1 7/12 = 5 18/12 = 6 6/12 = 6 1/2

Hope this helps and pls do mark me brainliest if you can:)

I need Help! I have 2 questions.

Answers

Answer:

[tex]g=\frac{2m+b}{k}[/tex] ⇒ 2nd answer

[tex]x=\frac{c}{(a+b)}[/tex] ⇒ 1st answer

Step-by-step explanation:

To solve any equation for one of its variable do that:

Separate the variable on one side and the other terms on the other sideMake the coefficient of the variable = 1

[tex]\frac{2m+b}{g}=k[/tex]

→ Multiply both sides by g to take g to the right side

∴ [tex]\frac{(2m+b)(g)}{g}=k(g)[/tex]

∴ 2m + b = kg

→ Divide both sides by k, to move k to the left side

∵ [tex]\frac{2m+b}{k}=\frac{kg}{k}[/tex]

∴ [tex]\frac{2m+b}{k}=g[/tex]

→ Switch the two sides

∴ [tex]g=\frac{2m+b}{k}[/tex]

ax + bx = c

→ Take x as a common factor from the both terms on the left side

x(a + b) = c

→ Divide both sides by (a + b) to move it to the right sides

∴ [tex]\frac{x(a+b)}{(a+b)}=\frac{c}{(a+b)}[/tex]

∴ [tex]x=\frac{c}{(a+b)}[/tex]

Write an equation in standard form of the line that passes through (−6,−10) and has the slope m=16.

Answers

Answer:

Y=16x+86

Step-by-step explanation:

y = 16x + 86

Work;
Y - y1 = m (x - x1)
Y + 10 = 16 (x + 6)
Y + 10 = 16x + 96
Y = 16x + 86

it’d be awesome if someone new the answer for number 6

Answers

point slope form: y-y1 = m(x-x1)
slope formula: m = y2-y1/x2-x1

substitute in for slope formula: -3 -2/0-4 = -5/-4 = 5/4
so the slope is 5/4

now pick any point (i’m using (4,2)) and plug it it in with the slope into point slope form

y-2 = 5/4(x - 4)

now solve

y-2 = 5/4x - 5
y = 5/4x - 3

ANSWER: y = 5/4x -3

Answer:

Step-by-step explanation:

3 - 2 / 0-(-4)

m= slope =1/4

y1  - Y2= m (x1- x2)

y=(1/4) x+ 3

slope intercept y=(1/4) x+3

point slope  y-3=(1/4)(x-0) or y-2=(1/4)X+4

standard form (1/4) x-y= -3

THANKS FOR EVERYBODY HELPING ME I WILL GIVE FREE ROBUX

Answers

Answer:

6 times

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

add me on discord fun54658#0871

Aubrey's dinner cost $85 She tips the waitstaff 30% for excellent service

Answers

Answer:

The total amount she paid would be $105.50.

Answer:

25.5 is the tip -- 110.50 is the total bill.

Step-by-step explanation:

You would calculate .30 (move the decimal over twice to switch from a percentage to a decimale) multiplied with 85 and this gives you 25.5.

85 * .3 = 25.5

Depending on the rest of the question, I added the tip to the amount of the dinner cost to obtain the total bill. You will need to see what the rest of the question is in order to verify which answer you are looking for.

9/25 plz help me on math i need to pass

Answers

Answer:

1) x=2

2) n=0

3) x=-7

4) a=0

5) m=-1

6) p=1

7) p=-6

8) r=3

9) x=-4

10) x=0

What is X? 3(4x−3)= -4+7

Answers

x = 1

Step-by-step explanation:

[tex]3(4x - 3) = - 4 + 7[/tex]

Expand :

[tex]3(4x - 3) = 12x - 9 \\ 12x - 9 = - 4 + 7[/tex]

Simplify : Add values

[tex]12x - 9 = 3[/tex]

Collect like terms and simplify

[tex]12x = 3 + 9 \\ 12x = 12[/tex]

Divide both sides of the equation by 12

[tex] \frac{12x}{12} = \frac{12}{12} [/tex]

Simplify

[tex]x = 1[/tex]

Answer:

x = 1

Step-by-step explanation:

Original Equation:

3(4x - 3) = -4 + 7

Use the distributive property.

3 x 4x = 12x

3 x -3 = -9

Equation:

12x - 9 = -4 + 7

Add 4 to both sides.

12x - 5 = 7

Add 5 to both sides.

12x = 12

Divide both sides by 12

x = 1

Hope I helped :)

Please consider Brainliest :)

The rent of a bowling lane is $25 for 5 minutes.
How much per minute?

Answers

Answer:

5 dollars

Step-by-step explanation:

Fatima invests a total of $29,000 in two accounts. The first account earned a rate of return of 11%. However, the second account suffered a 7% loss in the same period. At the end of one year, the total of money gained was $1,570.00. How much was invested into each account?

Answers

Step-by-step explanation:

given data:

gained = $1,570

amount invested = $29,000

0.11x – 0.07( $29,000 – x ) = 1540

0.11x – ( 2030 – 0.07x ) = 1540

0.11x + 0.07 = 1540 +2030

0.18x = 3570

divide both sides by 0.18

x = 19833.33 ( amount invested at 11%.

$29,000 – 19833.33

= $9166.7 ( amount invested at 7%)

Original
Point
Reflection Over
The y-axis
(1,4)

Answers

Step-by-step explanation:

reflection over the y-axis the values of x will change so it's going to be -1,4

A patient is placed in an elliptical tank that is 178 centimeters long and 102 centimeters wide to undergo sound wave lithotripsy treatment for kidney stones. Determine where the sound emitter and the stone should be positioned relative to the center of the tank

Answers

Complete Question

The  diagram for this question is shown on the first uploaded image

Answer:

The position of the emitter is  [tex]E =  +  72.9 \  cm\ from\ the\ center [/tex]

The position of the stone is   [tex]S =  - 72.9 \  cm\ from\ the\ center [/tex]

Step-by-step explanation:

From the question we are told that

   The  length is  l =  178 cm

    The  width is  w  =  102 cm  

Generally the position of the stone along the horizontal axis is mathematically evaluated as

         [tex]h  =  \frac{178}{2}[/tex]

=>      [tex]h  = 89 \  cm   [/tex]

Generally the position of the emitter along the vertical axis is mathematically evaluated as

         [tex]k =  \frac{102}{2}[/tex]

=>      [tex]k  = 51 \  cm   [/tex]      

Generally the  resultant position of both stone and the emitter is

       [tex]R  =  \pm \sqrt{h^ 2  - k^2}[/tex]

=>     [tex]R  = \pm  \sqrt{89^ 2  - 51^2}[/tex]

=>     [tex]R  = \pm 72.9 \  cm   [/tex]

Hence the position of the emitter is  [tex]E =  +  72.9 \  cm[/tex]

            the position of the stone is   [tex]S =  - 72.9 \  cm[/tex]

let f(x)=2x and g(x)=x-4, what is the range of (f o g)(x)?
a. y>0
b. all real numbers except y=0
c. y <= 0
d. all real numbers

Answers

Answer:

c

Step-by-step explanation:

Answer:the answer is c

Step-by-step explanation:

a swimmer swam the 50 meter freestyle in a time of 21 seconds what was his speed to the nearest tenth of a meter per second PLEASE HELP

Answers

Answer:

2.4

Step-by-step explanation:

50/21=2.380.....

          2.38

          2.4

Answer:

50/21 or 2 8/21 meters per second

Step-by-step explanation:

Well speed is the distance divided by the time, so, 50 is the distance and 21 is the time, so, you divide 50 by 21 to get the answer

This year, there were 25% fewer sunny days than last year. That’s my question.

Answers

If there were 25% fewer sunny days this year than last year, then there were 25% more sunny days last year than this year and the number of sunny days in the coming year is unknown.

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PLEASE HELP, WILL MARK BRAINLIEST!The best way to find the volume of an empty bottle is to...a) weigh the bottle and record the mass, then add the water and subtract its mass from that of the empty bottleb) fill the bottle with water and place it on a balancec) fill the bottle with water, and then empty the water into a graduated cylinder. Square ABCD has vertices A(-4.5, 4), B(3.5, 4),C(3.5, -4), and D(-4.5, -4). What is the area of square ABCD? What would happen if there were 3 protons and 0 neutrons in the nucleus of an atom? 4. Which description of the hydrologic cycle (Water Cycle) is best?A. Ice Melts and increases the ocean volume causing floodingB. Ice seeps into the ground doubling the size of aquifersC. Water dries out in certain regions but floods in othersD. Water evaporates into the atmosphere and returns as precipitation According to socialism, the government should redistribute wealth to prevent wealth inequality among its citizens.A) TrueB) False Identify the Characteristics of each Type of Plant Pine Tree MossStrawberry PlantMakes Seeds No Flowers or Cones Cones Pollination Makes Spores Flowering Choose the line from Romeo and Juliet that is the BEST example of alliteration.a. Your wit is like a tart apple: it makes very sharp sauce.b. Not in a grave, to lay one in, another out to have.C. It is some meteor that the sun exhalesd. O single-sol'd jest, soley singular for the singleness! A landscaper is shopping for landscaping materials. She wants to use materials through which water flows easily.Which two materials should she choose?clay and gravelgravel and loosely packed soilgranite and rocks with cracksrocks with cracks and clay List the order in which you should write a nonfiction summary. A toy company manufactures sealed cubes that contain a colored liquid that glows in the dark. The liquid completely fills the cubes. If 8 cubic blocks with a side length of m are needed to find the volume of each cube, how much of the liquid can each cube hold? Which of the following statements are FALSE when identifying the type of slope of a line.A Positive slope increases from left to right.B Negative slope decreases from left to right.C Undefined slope is when there is no vertical change.D No or Zero slope is a horizontal line. *30 POINTS!* Determine if each equation represents the graph below. Choose ALL correct equations. You will select more than one answer.The options are:1. y= 2x-12. x-2y =23. y= 1/2x - 14. y+3 = 1/2 (x+4)5. y-2= 1/2 (x-2) Change the sentence from passive to active voice.Street signs in unfamiliar places need to be properly read by drivers. The linear function m=55-8.5b represents the amount m (in dollars) of money that you have after buying b books. Find the domain of the function. Is the domain discrete of continuous? Explain. 10 is 6% of whatnumber? What is the mass, in grams, of 0.450 moles of Sb? The distance between point (-4,5) and another point is 10. What are the possible coordinates of the other point? An ion formed from an atom has a 1- charge. The number of electrons present in the ion is 36 and the number of neutrons is 46. Identify the element by typing the name. For example: Hydrogen or Sodium. solve the inequality p + 4 -10 You can increase the challenge of your workouts by using Newton's first law of motion. We are given the example of running on sand or biking on gravel. What are some other ways that you can use Newton's first law to create a more challenging workout? When you change the terrain, what is that force called?