1. Two phone plans offer 500 free minutes per month. Plan A charges $29.99 per month with a charge of $0.45 for each additional minute. Plan B charges $34.99 per month with a charge of $0.40 for each additional minute. 1. Write an inequality to find the number of additional minutes, m, for which Plan A costs more than Plan B for any given month.​

Answers

Answer 1

 

Step-by-step explanation:

Answer 2

Plan A costs 100 minutes more than Plan B for the given month.​

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Plan A is $29.99 per month plus $0.45 per minute further than the allotted time. Plan B costs $34.99 per month plus $0.40 for each additional minute.

According to the given question, we can write the inequality would be as:

⇒ 29.99 + 0.45m > 34.99 + 0.40m

⇒ 0.45m - 0.40m > 34.99 - 29.99

Apply the subtraction operation, and we get

⇒ 0.05m > 5

⇒ m > 5/0.05

Apply the division operation, and we get

⇒ m > 100 minutes

Therefore, Plan A costs 100 minutes more than Plan B for the given month.​

Learn more about inequalities here :

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Related Questions

How many solutions does this equation have ?
2(2x-1)=(x+1)+3(x-1)​

Answers

Yep his right and it is shown to me good

como podria saber la cantidad de cuadros de la bandera de wiphola sin contar​

Answers

Answer: If you mean a translation, it is How could I know the number of squares of the wiphala flag without counting.

The wiphala flag has 49 squares.

Step-by-step explanation:

John ran 3 miles in 25.2 minutes. The equation y = 8.5x, where x represents the number of miles and y represents the total time in minutes, represents this situation. What is the constant of proportionality? What does the constant of proportionality represent in the context of the problem?

Answers

Step-by-step explanation:

It is given that,

John ran 3 miles in 25.2 minutes. We can find the speed of john as follows :

Speed = distance/time

v = [tex]\dfrac{3\ \text{miles}}{25.2\ \text{minutes}}=0.1190\ \text{miles/minutes}[/tex]

The equation y = 8.5x, where x represents the number of miles and y represents the total time in minutes, represents this situation. y is proportional to x with constant of proportionality 8.5.

Velocity of John is 0.1190 miles/minute. We can write it in the form of equation as :

y = 0.1190x

In this problem, the constant of proportionality is 0.1190.

What is the area of this triangle? And it's not 60, I already checked. PLEASE EXPLAIN!!!!​

Answers

Answer:

A = 4 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 b*h

The base is 4 and the height is 2

A = 1/2 ( 4*2)

A = 1/2*8

A = 4 cm^2

Answer:

4

Step-by-step explanation:

A = BH/2

or Area = Base multiplied by Hieght divided by 2.

(b)4 x (h)2 = 8

8/2 = 4

What is the measure of the missing angle?

76
166
86
156

Answers

the answer is 156. subtract 180-24 and get 156

calculate E, the amount of euros that has the same value as D U.S. dollars, using the equation E=17/20D=

Answers

The given equation is:  E=17/20 D  , where  E=amount of Euros and D= amount of U.S dollar.

Now for 1 U.S dollar, we need to plug D=1 into the above equation. So, we will get.........

E=17/20(1)

E=1/20=0.85

0.85 Euros have the same amount as 1 U.S dollar.

HOPE IT HELPS (◕‿◕✿) SMILE!!

Find the missing number?

Answers

Answer:

$4.60 and $18.40

Step-by-step explanation:

The total cost of one milk carton is $2.30. I got this by dividing $9.20 by 4. If you multiply $2.30 by 2, you get $4.60. If you multiply $2.30 by 8, you'll get $18.40.

FIRST ANSWER GETS CROWNED BRAINLIEST!!!
If the slope of a line is 1/2, find x when (-4, 12) and (x, 5) ?
Please show formula.

Answers

Answer:

x = -18

Step-by-step explanation:

Well you just have to do the this formula to find the slope

[tex]\frac{y2 - y1}{x2 - x1}[/tex]  Plug in

[tex]\frac{5 - 12}{x - -4 }[/tex] = [tex]\frac{-7}{?}[/tex]=[tex]\frac{1}{2}[/tex]

So we know x will have to be a negative to get 1/2

I would think x = -18 because -18 - -4 = -14 so it would look like this

[tex]\frac{5 - 12}{-18 - -4}[/tex] = [tex]\frac{-7}{-14}[/tex] =[tex]\frac{1}{2}[/tex]

When you further simplify -7/-14 you get 1/2

Which equation is true when X = -5?
2/5x+15-17
7+5x = 18
6- 4x = -14
0.5-2.4x = 12.5

Answers

Answer: 0.5-2.4x=12.5

Step-by-step explanation:

-2.4(-5)=12

0.5+12=12.5

Solve for n. 170-4n=120

Answers

Answer:

n = 12.5 or 25/2

Step-by-step explanation:

170-4n = 120

1. Subtract 170 from both sides to isolate -4n.

-4n = -50

2. Divide both sides by -4 to isolate the n.

n = 12.5 or 25/2

Hope this helped!

Answer:

12.5

Step-by-step explanation:

170 - 4n = 120

-170          -170

-4n         = -50

4n         =  50

  n         = 12.5

A 300-g package of pepperoni costs $4.29.

a) What is the cost per 100 g?

b) How much would 1 kg cost?

c) How much pepperoni could you buy with $20?

Answers

Answer:

a. $1.43 per 100 gram

b. $10.43 for a kilogram (1000 grams)

c. 1 kilogram and 398 grams, or 1398 grams

Step-by-step explanation:

if the first one was blurry but pls help

Answers

Answer:

400 minutes it will take

PLSS help i dont understand I found w =59 but dont know how to find the rest

Answers

Answer:

i think that Y= 59 because of it being a vertically opposite angle and X= 121 because of the line being a straight one and angles on a straight line add to 180

Step-by-step explanation:

hope this helps :))

What times 21 equals 7? Is that even possible to multiply something by 21 to get 7?

Answers

Answer:

Step-by-step explanation:

Which statements are true about the graph of the function f(x) = x2 - 8x + 5? Select three options.
The function in vertex form is f(x) = (x - 4)2 - 11.
The vertex of the function is (-8,5).
The axis of symmetry is x = 5.
The y-intercept of the function is (0.5).
The function crosses the x-axis twice

Answers

Answer:

A, D, E

Step-by-step explanation:

The statements that are true about the graph of the function are

The function in vertex form is f(x) = (x - 4)^2 - 11.The y-intercept of the function is (0,5).The function crosses the x-axis twice

Vertex and intercept of a function

The standard equation of a function in vertex form is expreseed as:

a(x-h)^2 + k

Given the quadaratic function  f(x) = x^2 - 8x + 5, the expression in vertex form is given as:
f(x) = (x^2-8x + 4^2) - 16 + 5

f(x) = (x-4)^2 - 16 + 5
f(x) = (x-4)^2 - 11

Find the y-intercept.

This is the point here x = 0
f(0) = 0^2 - 8(0) + 5
f(0) = 5

Hence the y-intercept of the function is at (0, 5)

Since the quadratic function has a leading degree of 2, hence the  function crosses the x-axis twice  

Learn more on vertex and intercepts here: https://brainly.com/question/12778829

If Vivian rides for 7 hours on a bicycle, what is her rate if she rides 84 miles?

Answers

Answer:

12

Step-by-step explanation:

84/7 is 12, so she was going 12 mph

Wade has three more quarters than dimes. The total value of the dimes and quarters together is $13. How many quarters does he have?

Answers

Answer:

38 Quarters

Step-by-step explanation:

D=number of dimes; Q=number of quarters=D+3

.

$0.10D+$0.25Q=$13

$0.10D+$0.25(D+3)=$13

$0.10D+$0.25D+$0.75=$13

$0.35D=$12.25

D=35

.

Q=D+3=35+3=38

ANSWER: He has 38 quarters.

A marathon runner travels 7/4 of a mile in 1/4 hour. What is the runner's unit rate?

Answers

Answer:

The runner's unit rate is:  7 mph

Step-by-step explanation:

The runner's unit rate is the speed of the runner used to cover a mile in one hour

Given that ;

1/4 hours covers 7/4 miles

so;

1/4 = 7/4

1 =?

Perform cross product as;

(1*7/4) / 1/4

(7/4) / (1/4)

7/4 * 4/1

7 miles/hour

What is the product of 4x - 1 and 3x + 5?

Answers

Answer:

the right answer is 7x+4

The product of the expression would be 7x+4

Find the value of x in each of the following
a) 2x/3= 8
b) 3x/2=6​

Answers

Answer:

A) X = 12

B) X = 4

Step-by-step explanation:

For both equations, the first step is the same. You must isolate x.

A) 2x/3 = 8

Multiply each side by 3 to get rid of the fraction.

2x = 24

Divide by 2.

x = 12

B) 3x/2 = 6

Multiply each side by 2 to get rid of the fraction.

3x = 12

Divide by 3.

x = 4

tell me how to solve 3 1/2 x 2 3/4

Answers

Answer:

9.625

Step-by-step explanation:

(3 1/2) x (2 3/4) = 9.625

Answer:

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

Steve stayed after school for extra activities 55% of the 180 school days this year. How many days did Steve stay after school?

Answers

Answer:

11/20 or 99/180 days

Step-by-step explanation:

55/100 converted to ?/180

180/100=1.8

so you would do the same on the numerator which is 55*1.8=99

99/180= 33/60=11/20

Answer:

125

Step-by-step explanation:

9 x 10^-9 in standard form

Answers

Answer:

[tex]9^{1000000000}[/tex]

Step-by-step explanation:

Mrs. Ryan did 121 sit-ups in 8 minutes. Estimate the number of sit-ups she did in 1 minute.

Answers

Answer:

he did 15 sit ups in 1 minute.

Step-by-step explanation:

you divide 121 and 8

Answer:

15 sit-ups per minute

Step-by-step explanation:

121÷8=15.125

15

Evaluate the piecewise defined function at the indicated values.
{x² + 4x if x <equal/greater to -1
f(x) = { x if - 1<x< equal/greater to 1
{-1 x > 1
f(-2)=
f(-3/2)=
f(-1) =
f(0) = 0
f(25) =​

Answers

Given:

Consider the piecewise function is

[tex]f(x)=\left \{\begin{matrix}x^2+4x,\text{ if } x\leq -1\\ x, \text{ if }-1<x\leq 1\\-1,\text{ if }x>1\end{Matrix}\right.[/tex]

To find:

The value of the function at indicated values.

Solution:

We know that, [tex]-2,-\dfrac{3}{2},-1[/tex] are less than or equal to -1. So, for these values the function is [tex]f(x)=x^2+4x[/tex].

For x=-2,

[tex]f(-2)=(-2)^2+4(-2)[/tex]

[tex]f(-2)=4-8[/tex]

[tex]f(-2)=-4[/tex]

Similarly,

For [tex]x=-\dfrac{3}{2}[/tex].

[tex]f(-\dfrac{3}{2})=(-\dfrac{3}{2})^2+4(-\dfrac{3}{2})=-\dfrac{15}{4}[/tex]

For [tex]x=-1[/tex].

[tex]f(-1)=(-1)^2+4(-1)=-3[/tex]

We know that, 0 is lies between -1 and 1. So, for this values the function is [tex]f(x)=x[/tex].

For x=0,

[tex]f(0)=0[/tex]

We know that, 25 is greater than 1. So, for this values the function is [tex]f(x)=-1[/tex].

For x=25,

[tex]f(25)=-1[/tex]

Therefore, the required values are, [tex]f(-2)=-4, f(-\dfrac{3}{2})=-\dfrac{15}{4},f(-1)=-3,f(0)=0,f(25)=-1[/tex].

Which of the following expressions is equivalent to 30 + 40?

A. 5(25 + 35)


B. 10(3 + 4)


C. 15(2 + 3)


D. 5(6 + 8)

Answers

The answer is B 10(3+4) since 10 times 3 is 30 and 10 times 4 is 40 and this is 30+40

Answer:D. 5(6+8)

Step-by-step explanation:First you need to distribute. Multiply 5 by both numbers inside parentheses. 5x6=30 and 5x8=40. This gives you 30+40

Line v passes through point (6, 6) and is perpendicular to the graph of y = 34x – 11. Line w is parallel to line v and passes through point (–6, 10). Which is the equation of line w in slope-intercept form?

A. y = 34x + 2
B. y = –34x + 2
C. y = 43x + 2
D. y = –43x + 2

Answers

In the correct question is ( d ) because x=-6

• Earth: $$ kilograms
• Sun: $$ kilograms

How many Earths weigh about as much as the Sun?

Use scientific notation.

Answers

The answer should be b

A person places $290 in an investment account earning an annual rate of 2.2%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 18 years.

Answers

Answer:

$430.90

Step-by-step explanation:

Given that the principal p= $290

rate r= 2.2%  2.2/100 =0.022  

time t= 18years

by applying the expression

[tex]V = Pe^{rt}[/tex]

We have

[tex]V = 290e^{0.022*18}\\\\V=290e^{0.396}\\\\V=290*1.48586931755\\\\V=$430.90[/tex]

Hence after 18years the money in the account will be $430.90

if f(x)=3^x+10 and g(x)=2x-4, find (f-g)(x)

Answers

Answer:   3^x - 2x + 14

=====================================

Work Shown:

(f - g)(x) = f(x) - g(x)

(f - g)(x) = ( f(x) ) - ( g(x) )

(f - g)(x) = ( 3^x + 10 ) - ( 2x-4 )

(f - g)(x) = 3^x + 10 - 2x+4

(f - g)(x) = 3^x - 2x + (10+4)

(f - g)(x) = 3^x - 2x + 14

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