John's phone company offers 2 cell phone plans, A and B. Both plans offer 450 free minutes per month, but plan A charges $40 per month and $0.35 for each additional minute, while plan B charges $45 per month and $0.30 for each additional minute. Which inequality shows the number of minutes, x, that John may use in a month in order to make plan B the better plan for that month?
A.
40 + 0.35(x − 450) 45 + 0.30(x − 450)

D.
40 + 0.35x > 45 + 0.30x

Answers

Answer 1

Answer: 45 + 0.30(x-450) > 40 + 0.35(x-450)

Step-by-step explanation:

Given: Free minutes = 450

For plan A,

Fix charge = $40

Charge per minute after free minutes  = $0.35

For plan B,

Fix charge = $45

Charge per minute after free minutes  = $0.30

Let x be the additional minutes.

Charges according to plan A = 40 + 0.35(x-450)

Charges according to plan B = 45 + 0.30(x-450)

If plan B is better than plan A.

45 + 0.30(x-450) > 40 + 0.35(x-450)

Required inequality : 45 + 0.30(x-450) > 40 + 0.35(x-450)


Related Questions

The figures below show sketches of Earl's and Dylan's flower gardens. If the perimeter of each of their gardens is the same, what is the length and width of Earl's garden?​

Answers

Answer:

[tex] length = 12 ft [/tex]

[tex] width = 8 ft [/tex]

Step-by-step explanation:

Earl's garden:

[tex] length = (x + 6) ft [/tex]

[tex] width = (x + 2) ft [/tex]

[tex] perimeter = 2(length) + 2(width) [/tex]

[tex] perimeter = 2(x + 6) + 2(x + 2) [/tex]

[tex] perimeter = 2x + 12 + 2x + 4 = (4x + 16) ft [/tex]

Dylan's garden:

[tex] length = (2x - 2) ft [/tex]

[tex] width = (x + 4) ft [/tex]

[tex] perimeter = 2(length) + 2(width) [/tex]

[tex] perimeter = 2(2x - 2) + 2(x + 4) [/tex]

[tex] perimeter = 4x - 4 + 2x + 8 = (6x + 4) ft [/tex]

Generate an equation to solve for the value of x.

Since the perimeters of both gardens are the same, therefore:

[tex] 6x + 4 = 4x + 16 [/tex]

Collect like terms

[tex] 6x - 4x = - 4 + 16 [/tex]

[tex] 2x = 12 [/tex]

Divide both sides by 2

[tex] x = 6 [/tex]

Earl's garden:

[tex] length = (x + 6) ft [/tex]

Plug in the value of x

[tex] length = 6 + 6 = 12 ft [/tex]

[tex] width = (x + 2) ft = 6 + 2 = 8 ft [/tex]

Answer:

l: 12ft

w: 8ft

Step-by-step explanation:

 

hey guys can you answer this one question real quick

Answers

Answer:

a. 1/5

b. (3, 3/5)

c. 1/5x = y

Step-by-step explanation:

Remember: (x, y)

0.5 = 1/2

(1/2, 1/10) = 1/10 ÷ 1/2 = 1/10 • 2 = 1/5, you can divide y/x = constant of proportionality. 1/10 ÷ 1/2.

1 2/5 = 7/5

(7, 7/5) = 7/5 ÷ 7 = 7/5 • 1/7 = 1/5, y/x = constant of proportionality. 7/5 ÷ 7.

a. 1/5 is the constant of proportionalityb. (3, 3/5) because 3/5 ÷ 3 or 3/5 • 1/3 = 1/5.c. 1/5x = y

69240 rounded to the nearest hundred

Answers

Answer: 692

Step-by-step explanation:

First you see the numbers and u need to see which is the ones, tens, and hundreds and when u find the hundreds u can round it

Which exponent is missing for the given expression ?
( 2x2)(x2)(3x2)3
BECOMES
54x16

Answers

Answer:

896 i think

Step-by-step explanation:

what is 0.6 repeating as a fraction
hlp im dumb

Answers

Answer:

2/3 is equal to .6 repeating

Step-by-step explanation:

also youre not dumb :)

Directions: Find each square root. Round to the nearest tenth if necessary. help?​

Answers

The square root of 289 is 17
The square root of 360 is 18.97... which would be rounded to 18
The square root of -90 is 9

Answer:

17,19,9.5

Step-by-step explanation:

hello I need help with graphing my functions it's y = 2x + 3 but I need to graph it​

Answers

The variable x is a placeholder for a number

Let's say we replace x with 0

y = 2x+3

y = 2(0)+3

y = 0+3

y = 3

This means x = 0 and y = 3 pair up together. In short, the point (0,3) is on the line.

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

Let's repeat for x = 1

y = 2x+3

y = 2(1)+3 ... replace x with 1

y = 2+3

y = 5

So (1,5) is another point on the line

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

We can keep this process going to generate as many points as we want. But to graph a linear equation like this, we only need two points at minimum.

Graph both (0,3) and (1,5). Then draw a straight line through them both. The graph is shown below.

Solve the equation given
x = - 4.
5 = x + 9

Answers

Answer:

x=-4

Step-by-step explanation:

You wrote the answer in the question, so there is really no question.

How it helps :)

anjaya is making punch. He uses 1··3c of pineapple juice for every 3··4c of orange juice. How many cups of pineapple juice does he need if he uses 3 c of orange juice? Show your work please

Answers

Answer: 11/3

Step-by-step explanation:

Answer:

He needs 1 and 1/3 cups of pinapple juice when he uses 3 cups of orange juice.

Step-by-step explanation:

Orange Juice:

3 cups / 3/4 cups = 12/3 = 4

Pineapple Juice:

1/3 × 4 = 4/3 cups= 1  1/3 cups

Last one please this is due in like 5 mins i’m gonna cry

Answers

Answer:

A:25

Step-by-step explanation:

Was gonna brute force every question with a calculator but luckily A was correct. Substituted 25 for x and found all the angles. 5x was 125, which I subtracted from 180 to find the interior angle, 55°. 3x was 75.

75+55+50=180°

Brainiest goes to the first correct answer thanks

Answers

Answer:

20

Step-by-step explanation:

we can see that there are already answers for 2 which is six 6+6=12 now we can see that a triangle look the same as the six over the 8mm so that must be six so 6+6+6=18 now there is still s little section missing over the 8mm (the half triangle half square) is missing a section we can see that the perimeter is 8 and the area is 6 and 6+2=8 so that little area is 2 so 6+6+6+2=20

Help please
And thank you so much

Answers

Answer:

$0.1 /lb.

Step-by-step explanation:

First, divide 1.99 by 19. You get 0.1047368421. To round it to the nearest hundred, look to the number 3 points away from the decimal, which is number 4. Since it is not 5 or greater, we round it down, and it would round down to 0.1.

find the value of x. PLEASE HELP

I need to show my work

Thank you!!!!!!

Answers

Answer:  x = 36

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

Work Shown:

2x+108 = 180

2x+108-108 = 180-108

2x = 72

2x/2 = 72/2

x = 36

-------

Notes:

The reason 2x and 108 add to 180 is because they form a straight angleIn step 2 above, I subtracted 108 from both sidesIn the second to last step above, I divided both sides by 2.The general steps to solving any equation is to follow PEMDAS in reverse to isolate the variable.

Given : There is a line . It is divided into two parts by another line such that it forms two angles on two sides of the angle which are 2x° and 108° .

To Find : The value of x .

Solution : Given that the two angles are 2x and 108° . So , we know that the measure of a straight line is 180° . So the sum of the two angles will be also equal to 180°. That is ;

[tex]\large\boxed{\red{\bf \angle 1 + \angle 2= 180^{\circ}}}[/tex]

Where [tex]\angle[/tex]1 and [tex]\angle[/tex]2 are two angles .

⇒ 2x° + 108° = 180° .

⇒ 2x° = 180° - 108° .

⇒2x° = 72°.

⇒ x =[tex]\sf \dfrac{72}{2}[/tex]

x = 36° .

Hence the value of x is 36° .

I have two-thirds of a square and I want to divide it by one-half. How many pieces would I have?

Answers

Answer:2 pieces or 1 1/3

Step-by-step explanation:

cause if 2/3 was 1 piece and you divide by 1/2 you have double what you had making you have 2 pieces

Why does the base matter when simplifying negative exponents?

Answers

Answer:

A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. For instance, "x–2" (pronounced as "ecks to the minus two") just means "x2, but underneath, as in 1 x 2 \frac{1}{x^2} x21 ".

Step-by-step explanation:

um help again. i’m terrible with math so an answer would really help thxs :)

Answers

Answer:

20

Step-by-step explanation:

skip count by 2

Whats the slope if this line??

Answers

Answer:

-1/4

Step-by-step explanation:

because its going up one over 4 and the lines negative!

Answer:

-1/4

Step-by-step explanation:

The slope is going down towards the right so it's negative. Rise-1 and you Run-4 so the answer is -1/4. Hope this helps :)

#6 What integers describes overdrawing your bank account by $50?​

Answers

Answer:

-50

Step-by-step explanation:

A negitive number would mean debt or owed. A positive number would be a credit of a number.

In the past month, Ashley rented 3 video games and 1 DVD. The rental price for each video game was $2.70. The rental price for the
DVD was $3.30. What is the total amount that Ashley spent on video game and DVD rentals in the past month?

Answers

Answer:

$11. 40

Step-by-step explanation:

(3×2.70)+3.30=8.10+3.30=$11.40

Answer:

11.40 dollars

Step-by-step explanation:

(2.70*3)+(3.30*1)=

8.10+3.30=

$11.40

A student worked out an equation and below is his solution. is the answer correct? If not, where was the error and what is the correct answer?
-4(6-r)=12
-24-4R=12
-4R=36
R=-9

Answers

Answer:

His answer is wrong.

Step-by-step explanation:

-4(6-R)=12  <-- Since R is negative, -4 times -R results in a positive so, 4R.

-24+4R=12

+24       +24

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

4R = 36

R= 9

can you help me with these please 30 points

Answers

Answer: 1. densities

2. i don’t have the passage but i assume it to be A or D

3. it will sink so A

Step-by-step explanation:

the density must be lower than 1 g/cm3 for it to float

PLZ HELP THIS IS URGENT I WILL MARK BRAINLIEST.
(x + 1)^2 -8 (x - 1) +16 = ?

Answers

Answer:

x^2 - 6x + 25

Step-by-step explanation:

( x + 1 ) ^2 -8( x - 1 ) + 16

undo the square

x^2 + 2x + 1 -8(x - 1) + 16

distribute

x^2 + 2x + 1 -8x + 8 + 16

simplify

x^2 - 6x + 25

You are going on a field trip and need to choose where to go, The zoo charges a $100 fee plus $10 per student. The museum charges $200 plus $5 per student. How many students have to go on the trip to make the museum a better deal

Answers

Answer:

21 kids have to go on the trip to make the museum a better deal

Step-by-step explanation:

Zoo: y=10x+100

Museum: y=5x+200

10x+100=5x+200

5x=100

x=20

When 20 kids go on trip the costs will be the same. Therefore, once 21 kids go the museum will be cheaper then the zoo as it is increasing at a rate of 5 dollars

If the circumference of a circleis 88m,find its diameter.​

Answers

Answer:

D ≈ 28 or D = [tex]\frac{88}{\pi }[/tex]

Step-by-step explanation:

D = C / [tex]\pi[/tex]

D = 88 / [tex]\pi[/tex]

OR

D = 88 / 3.14

D ≈ 28

Which of these equations is in POINT-SLOPE form?

m=(2−4)(5−3)
m is equal to the fraction with numerator open paren 2 minus 4 close paren and denominator open paren 5 minus 3 close paren

y=4x+7
y is equal to 4 x plus 7

y−3=23(x−4)
y minus 3 is equal to 2 thirds times open paren x minus 4 close paren

3 x + 5 y = 8
3 x + 5 y = 8

Answers

Y-3=23(x-4) hope this helps

HURRY!! THIS ASSIGNMENT IS DUE IN 5MIN!!! THANK YOU!!!!!!


GEOMETRY A container company wants to make a
cylindrical cardboard container with a volume of 4752 cubic inches. The formula V = roh represents the volume of a cylinder. In this formula, V represents the volume, represents the radius of the cylinder's base, and h represents the height of the cylinder. Solve for h. What height should the company make the container if the radius of the base must be 9 inches?

Answers

You have the formula... V = pi * R^2 * h

4752 in^3 = 3.14 * 9"^2 * h (with the numbers plugged in)

4752 in^3 = 3.14 * 81"^2 * h (with the squaring math completed)

4752 in^3 = 254.14"^2 * h (with the multiplication math completed)

4752 in^3 / 254.14"^2 * h / 254.14"^2 (showing the division from both sides to get "h" alone)

18.68" = h (the answer)

I’ll give brainiest

Answers

Answer:

3

Step-by-step explanation:

the answer

Please PLEASE help with these two math problems

1. 7^x ÷ 7^y =
2. z^10x^y ÷ z^5 =

Answers

Answer:

14

-25/1

Step-by-step explanation:

Through (-2,-4), slope = -1/7

Answers

Answer:

y = -1/7x -6/7

Step-by-step explanation:

y = mx +b

m = -1/7

y = -1/7x +b

-4 = -1/7(-2)

-4 = -2/7

-4 + -2/7 = b

b = -6/7

y = -1/7x -6/7

Please help me i would really appreciate it Solve (-7).(-4)

THIS GIVES 50 POINTS

Answers

Answer:

28

Step-by-step explanation:

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