You are choosing between two texting plans. One plan has a monthly fee of $15 with a charge of $0.05 per text. The other plan has a monthly fee of $5 with $0.07 per text. For how many text messages will the costs for the two plans be the same?

Answers

Answer 1

Answer: 500 messages will the costs for the two plans be the same.

Step-by-step explanation:

Let x= Number of text messages .

Given: One plan has a monthly fee of $15 with a charge of $0.05 per text.

i.e. Total cost of plan = 15+0.05x

The other plan has a monthly fee of $5 with $0.07 per text.

i.e. Total cost of plan = 5+0.07x

As per given ,

[tex]5+0.07x=15+0.05x\\\\\Rightarrow\ 0.07x-0.05x=15-5\\\\\Rightarrow\ 0.02x=10\\\\\Rightarrow\ x=\dfrac{10}{0.02}\\\\\Rightarrow\ x= \dfrac{1000}{2}\\\\\Rightarrow\ x=500[/tex]

Hence, 500 messages will the costs for the two plans be the same.


Related Questions

What is the 1 million dollar math problem?

Answers

Answer:

it is join remind the class code is d394k3

join to have fun

Step-by-step explanation:

I'm not sure sorry !!

Help plz:))) I’ll mark u brainliest

Answers

Answer:

x = 4

Step-by-step explanation:

First you would add those 2 equations, which would be 43x + 8. Then you make it equal to 180, so 43x + 8 = 180. Subtract 8 from both sides, and divide 43 from both sides.

PLEASE HELP ME I WILL GIVE BRANLIEST!!!

Answers

Answer:

Step-by-step explanation:

Use the rules of exponents to evaluate or simplify. Write without negative exponents.
[tex]3. {4}^{0} [/tex]

Answers

9514 1404 393

Answer:

  1

Step-by-step explanation:

Any non-zero number to the zero power is 1.

  3.4^0 = 1

9. The Science Club needs to rent a bus for a field trip. Main Street Buses charges a $40 rental fee, plus $2 per mile. County Bus Line charges a $20 rental fee, plus $3 per mile. For what number of miles will the total charge be the same? What will that charge be?​

Answers

Answer:

20 miles $80

Step-by-step explanation:

20 miles

P%5Bc%5D%2820%29=20%2B3%2820%29=20%2B60=80

$80

Answer:

M=Main buses

C=Country buses

Step-by-step explanation:

so the charges from Main are $40 fee, then additional $2 for every mile you drive it for, so M = 40 + 2m

if your mileage is 20miles, when 2*20 is the charge

if your mileage is 50miles, when 2*50 is the charge

if your mileage is 1000miles, when 2*1000 is the charge

if your mileage is "m" miles, when 2*m is the charge

and County charges are $20 fee, then additional $3 for every mile... .so then C = 20 + 3m

if your mileage is 20miles, when 3*20 is the charge

if your mileage is 50miles, when 3*50 is the charge

if your mileage is 1000miles, when 3*1000 is the charge

if your mileage is "m" miles, when 3*m is the charge

so, their total charge is M and C respectively

when are the charges equal? well, when M = C

or

40 + 2m = 20 + 3m

solve for "m", to see at how many miles that happens

what will the charge be? plug that value for "m" on either, to get the charge

Given:18x-2(3x+1)=5x-16
Prove:x=-2

(Include statements and reasons)

Answers

Answer:

Step-by-step explanation:18x−2(3x+1)=5x−16

18x+(−2)(3x)+(−2)(1)=5x+−16

18x+−6x+−2=5x+−16

(18x+−6x)+(−2)=5x−16

12x+−2=5x−16

12x−2=5x−16

Step 2: Subtract 5x from both sides.

12x−2−5x=5x−16−5x

7x−2=−16

Step 3: Add 2 to both sides.

7x−2+2=−16+2

7x=−14

Step 4: Divide both sides by 7.

7x

7

=

−14

7

x=−2

Answer:

x=−2


Find the slope of the line that passes through (1, 7) and (10,5).


Answers

Answer:

-2/9

Step-by-step explanation:

All proofs start as ______.

A.) Constructions
B.) Conjectures
C.) Converses

Answers

Answer: Conjectures.

Step-by-step explanation: A conjecture is an opinion or conclusion formed on the basis of incomplete information. All proofs start as a conjecture until it is proven as a truth (a proof).

All proofs start as Conjectures. Then the correct option is B.

What are Conjectures?

A hypothesis in mathematics is a conclusion or a proposition made tentatively without supporting evidence.

A conjecture is an opinion or conclusion formed on the basis of incomplete information. All proofs start as a conjecture until it is proven as a truth (a proof).

Hence, the correct answer is option B.

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Farrah has 150 dimes, 250 nickels, and 400 pennies.
Complete the table to show the ratio of the number of pennies to the total number of coins.

Answers

Answer:

1:2

Step-by-step explanation:

In total, there are 800 coins. 400 of those coins are pennies. The ratio is 400 pennies to 800 coins. Since 400 is half of 800, this can be simplified down to 1 penny to 2 coins, or 1:2.

Using the graph, determine the value of the slope. y What is the slope? 4 2 What is true about the graph? -4 -2 2 4 -2 -4

quickk​

Answers

Answer: 0 and all y values are the same !

Step-by-step explanation:

HELP ME WITH THIS QUESTION PLEASE!!!!!!!!!!!!

Answers

50 maybe

Step-by-step explanation:

because 200 lollipops 4 in each bag

And 150 pencils 3 in each bag

(i dont think this is right)

The two lines represent the distance traveled by Noah and Diego. Which person is running more quickly? Explain how you know.

Answers

Answer: It Diego i think please don’t be mad at me if you get it wrong

What is the result when x^3+12x^2+23x+6 is divided by x + 2?

Answers

Answer:

i think its x^3 + 12x^2 + 23x + 6

Step-by-step explanation:

i added all of that then divied it

3. Solve for x.
(2 + 5x)"
(4x + 7)"
whats x?

Answers

(2+5x)=(4x+7)
-4x on each side
-2 in each side
x=5

PLEASE HELP ME PLEASE
A fishing adventure company rents fishing boats to tourists for day long fishing trips. Each boat can hold at most 60 people. Additionally, each boat can only carry no more than 8000 pounds of people and gear. Assume on average an adult weighs 150 pounds and a child weighs 75 pounds. Also each boat will require 200 pounds of gear plus an additional 5 pounds of gear per person. To rent a boat it cost $15 per adult and $5.50 per kid. The manager of the company has asked you to plan out an advertisement for the three most popular group combinations. Find a cost for a full maximize boat of only adults and only kids. Then find price for the perfect combination that would maximize the boat’s capacity and weight restrictions with both adults and children

Answers

Answer:6 people

Step-by-step explanation:

Someone help this is my last question

Answers

Answer:

21.40093456 or 21 miles

Step-by-step explanation:

17^2 + 13^2 is 458, and the [tex]\sqrt{458}[/tex] is 21.40093456.

Answer:

17² + 13² = c²

289 + 169 = 558

[tex]\sqrt558[/tex] = 23.62203 repeating

Step-by-step explanation:

Israel planted 4 tomato seeds in his garden. Then he planted flower seeds in each of his three neighbor's gardens. Which expression represents the number of seeds Israel planted?
A. 4s + 3
B. 4 + 3s
C. 4 – 3s
D. 3s – 4

Answers

Answer:

B. 4+3s

Step-by-step explanation:

The expression that represents the number of seeds that has been planted by Israel is 4 + 3s. Hence, Option B is correct.

What is an expression?

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression in mathematics.

Mathematical symbols can represent variables, operations, functions, brackets, punctuation, and grouping to help specify the logical syntax and order of operations.

But in contemporary mathematics, and particularly in computer algebra, formulae are seen as expressions that can be evaluated as true or false, depending on the values given to the variables present in the expressions.

In the garden, Israel sowed 4 tomato seeds. Then Israel scattered flower seeds throughout the gardens of the three neighbors. Here neighbors will be denoted as x. For this the most suitable expression will be 4 + 3s.

Therefore, Option B is correct.

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t + 1/4 = 2 7/12
what is t
plz help (6th grade)

Answers

Answer:

t = 2 1/3

Step-by-step explanation:

1/4 = 3/12

subtract 3/12 from both sides

t = 2 4/12

simplify

t = 2 1/3

Answer:

t+1/4=2 7/12

Step-by-step explanation:

t+1/4=31/21

t=31/21-1/4

t=103/84

hey. can someone look at this. i have no clue.

Answers

Answer:

Since the line has no curve (aka slope) it has an undefined slope. The slope is non existent.

Step-by-step explanation:

Point XXX is located at (3, 2)(3,2)left parenthesis, 3, comma, 2, right parenthesis. Point YYY is located at (3, -8)(3,−8)left parenthesis, 3, comma, minus, 8, right parenthesis. What is the distance from point XXX to point YYY?

Answers

Answer:

10

Step-by-step explanation:

Given that:

Point X = (3, 2)

Point Y = (3, - 8)

Distance of point X to Y:

Distance = √(x2 - x1)^2 + (y2 - y1)^2

X1 = 3 ; y1 = 2 ; x2 = 3 ; y2 = - 8

Distance = √(3 - 3)^2 + (-8 - 2)

Distance = √(0)^2 + (-10)^2

Distance = √0 + 100

Distance = √100

Distance = 10

Answer:

10

Step-by-Step Explanation:

Suppose a triangle has two sides of length 42 and 35, and that the angle
between these two sides is 120°. Which equation should you solve to find the
length of the third side of the triangle?

Answers

Answer:

you should use cosine law

it state that the third side lets name it c

c^2=a^2+b^2 -2 × a × b × cos (angle between the 2 sides)

a and b are the 2 sides given

Factor the expression completely 6x^2 + 21x - 12​

Answers

Answer:3(2−1)(+4)

Step-by-step explanation:

62+2

1−1

6x^{2}+21x-12

6x2+21x−12

3(22+7x−4)

3(2x^{2}+7x-4)

3(2x2+7x−4)

3(22+7−4)

3(2x2+7x−4)

3(22+8−−4)

3(2x2+8x−x−4)

3(22+8−−4)

3(2x^{2}+8x-x-4)

3(2x2+8x−x−4)

3(2(+4)−1(+4))

3(2x(x+4)-1(x+4))

3(2x(x+4)−1(x+4))

3(2(+4)−1(+4))

3(2x(x+4)-1(x+4))

3(2x(x+4)−1(x+4))

3(2−1)(+4)

Which function is the inverse of f(x)=x²-16 if the domain is f(x)>0?​

Answers

Answer:

[tex]f^{-1}(x)=\sqrt{x+16}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-16[/tex]

The inverse of the function [tex]f[/tex] is [tex]f^{-1}[/tex]

The Range of the inverse function [tex]f[/tex] will be the Domain of the function [tex]f[/tex]

[tex]Ran(f^{-1}) = [0, \infty)[/tex]

The inverse of

[tex]f(x)=x^2-16[/tex]

is

[tex]f^{-1}(x)=\sqrt{x+16}[/tex]

Note that if the domain of the function [tex]f[/tex] where all the Real numbers, the inverse would be

[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]

Answer:

Inverse of [tex]f(x)=x^2-16[/tex] is [tex]f^{-1}(x)=\sqrt{x+16}[/tex]

Option A is correct option.

Step-by-step explanation:

We need to find inverse of [tex]f(x)=x^2-16[/tex]

For finding inverse replace f(x) with y

[tex]y=x^2-16[/tex]

Now, solve for x

Adding 16 on both sides

[tex]y+16=x^2-16+16\\y+16=x^2\\=> x^2=y+16[/tex]

Taking square root on both sides:

[tex]x^2=y+16\\\sqrt{x^2} =\sqrt{y+16} \\x=\sqrt{y+16}[/tex]

Now replace x with f^{-1}(x) and y with x

[tex]f^{-1}(x)=\sqrt{x+16}[/tex]

So, inverse of [tex]f(x)=x^2-16[/tex] is [tex]f^{-1}(x)=\sqrt{x+16}[/tex]

Option A is correct option.

PLEASE I NEED HELP THX :) <3

Answers

Answer: 5/2

Step-by-step explanation:

Plug in two points from the table into the formula y2-y1 divided by x2-x1

I hope this helps.

PLEASE HELP! ITS DUE TOMORROW AND I HAVE NO IDEA WHAT TO DO!! T^T

Answers

Answer:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 hope it help jk dont do this i have no clue

Step-by-step explanation:

10000000000000o0000000000000000000000000000000000000000ooooooooooooooooooooooooooo0000oooo00o0o0o0oo00oooooooo0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000ooooooooooooooooooooooooooooooooooooooo

1. 2

2. 1

3. 26

4. 11

5. 1

6. 42

7. 504

8. 29

9. 46

10. 18

someone help 6th grade math i will give brainliest

Answers

Answer:

decimal 0.13

percent is 13

Step-by-step explanation:

Answer:

Decimal: 13

Percent: 13%

Step-by-step explanation:

Sorry if it wrong

Order the following numbers from least to greatest. 6.45 6 1/2 6.02 ​

Answers

Answer:

6.02, 6.45, 6 1/2

Step-by-step explanation:

to find out if they're all in order easier, you need to convert the 6 1/2 into a decimal which is 6.5, you can then order them easily by looking at the tenths place

the ratio 1mm represents 1cm is the same as 1:10 complete the following the ratio 1cm represents 1km is the same ratio as 1:

Answers

Answer: 1:100

Explanation: If 1cm is 10 and there is 1mm for every 10cm, and the unit that is after centi- is kilo- then all you’d have to do is put another zero.

What is 12x1,234+55 divided by 6

Answers

Answer:

14,817.17

Step-by-step explanation:

Answer:

12 times 1 = 12 and 234 + 55 = 289 and 289 + 12 = 301 and 301 divided by 6 = 51 Remainder 3 if you are not working with remainders then this is not correct this is a correct answer just maybe not the one you need hope it helps.

Step-by-step explanation:

How do you figure out percentages

Answers

Answer:

you multiply what you want to be a percentage divide it by 100

Answer:

Just multiply the number that you want to take a percent of by the decimal version of that percent for example;

24% of 70

70 x .24 = 16.8

24% of 70 is 16.8

(You can also ask Siri to check your answer)

Step-by-step explanation:

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