a post office always charges a flat one time fee for any order. one time, michael sent 35 letters and paid 26 dollars. the next time, he sent 18 letters and paid $14.10. how much does the post office charge to send one letter? what is the flat fee?

Answers

Answer 1

Answer:

$0.70 per letter, $1.50 flat fee

Step-by-step explanation:

x+18y=14.1 -> x=-18y+14.1

x+35y=26

|

\/

(-18y+14.1)+35y=26 -> 17y=11.9 -> y=0.7

|

\/

x+35(0.7)=26 -> x+24.5=26 -> x=1.5

|

\/

y=0.7

x=1.5

Hope this helps. :)

Answer 2

The post office charges $0.70 to send one letter, and there is a flat fee of $1.50.

How to determine the the flat fee (F) charged by the post office

To find the cost of sending one letter, we need to determine the flat fee charged by the post office.

Let's denote the flat fee as 'F' and the cost per letter as 'C'.

From the given information, we can set up the following equations:

Equation 1: F + 35C = 26

Equation 2: F + 18C = 14.10

We can solve this system of equations to find the values of F and C.

First, we subtract Equation 2 from Equation 1 to eliminate F:

(F + 35C) - (F + 18C) = 26 - 14.10

17C = 11.90

Now, we divide both sides of the equation by 17 to solve for C:

C = 11.90 / 17

C ≈ 0.70

Therefore, the cost to send one letter (C) is approximately $0.70.

To find the flat fee (F), we can substitute the value of C into either Equation 1 or Equation 2. Let's use Equation 1:

F + 35(0.70) = 26

F + 24.50 = 26

F = 26 - 24.50

F = 1.50

Therefore, the flat fee (F) charged by the post office is $1.50.

Learn more about cost at https://brainly.com/question/29509552

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Related Questions

I know how to find the distance of two coordinates but not three could someone help me on this??

Answers

Find distance between R and S and then between S and T and add them together
Answer:

12 units

Step-by-step explanation:

Step 1. Find the distance between R(-1, 4) and S(5, 4)

Answer: 6

Reason: from -1 to 5, it’s 6 units.

Step 2. Find the distance between S(5, 4) and T(5, -2)

Answer: 6

Reason: from -2 to 4, it’s 6 units

Step 3. Add the distance between R to S and S to T.

Answer: 12 units

Reason: R to S = 6 units. S to T = 6 units.

6 + 6 = 12 units

Hii! Please helpppp!! This was due like 3 days ago lol

Answers

Fergus has 3 1/4 cups of oats

= 13/4 cups of oats

Oatmeal bars = 2 2/3

= 8/3 cups of oatmeal used

Therefore cups of oats left = 13/4 - 8/3

= 39/12 - 32/12

= 7/12 cups of oats left

She borrowed 1 cup of oats from neighbour

7/12 + 1/1

= 7/12 + 12/12

= 19/12 cups of oats

Blueberry oats muffin = 1 3/4 cups of oats

= 7/4 cups of oats

Total she will have now = 19/12-7/4

= 19/12 - 21/12

= - 2/12

= -1/6

Which means she needs 1/6 cup of oats more

Therefore its option 4

Must click thanks and mark brainliest

Answer:

she needs 1/6 more so the last option! looking at the pic i dont think you need to show the work :)

Step-by-step explanation:

64 is 4 times the difference between Sarah's age, a, and 44. Assume Sarah is older than 44.

Answers

Answer:

Sarah is 60 years old

Step-by-step explanation:

64 divided by 4 is 16. Add 16 to 44 to get Sarah's age, 60

Answer: She is 60 years old

Step-by-step explanation:

Please Help Me! I will give brainly!!


The distance from your front door to the mailbox is 18 4/5 meters. The distance from your front door to your basketball hoop is 13 7/10 meters. How much farther from your front door is the mailbox than the basketball hoop?

Answers

Answer:

5 1/10 meters

Step-by-step explanation:

18 4/5 can be changed to 18 8/10 so

18 8/10 - 13 7/10 = 5 1/10 meters

5 1/10 meters ahhhhhhhhhhhh

Make a list of three rates that describe things that you do. For example, you could describe how many classes you attend in a day. For each example, explain why it is a rate.​

Answers

I tried to make this as vague as possible since this is a question about your personal life.

1. sleep to hours in a day, 8:24

2. cans of soda to bottles of water, 1:2

3. meals to snacks, 3:2

Absolute Value – how far or the
[ Select ] Answer | Counter | Number | or distance
a number is from zero.

Answers

Answer:

The last answer or Distance a number is from zero

Step-by-step explanation:

It's this answer because absolute value is just how far a number is from zero for example | -1 | is equal to 1 because -1 is 1 away from zero. Hope this helps :)

Answer:

The last answer or Distance a number is from zero i think i dont know

Step-by-step explanation:

Why are the divisibility rules for 2, 3, and 5 very useful for determining prime and composite numbers

1. They are the smallest odd numbers
2. They add up to 10
3. They are prime numbers with nice divisibility rules
4. They multiply to 30
5. They can be multiplied together to make every number

Answers

Answer:

option 3.

Step-by-step explanation:

alright, ima explain each option.

1. "smallest odd numbers" 2 is an even number. that's out of the playing field.

2. "add up to 10" sure, they do add up to 10, but finding prime and composite numbers are all about division and multiplication.

3. this is true. 2, 3, and 5 are all prime numbers, and they have the nice divisibility rules. [ for 2, it has to be even, for 5, it has to end in 0 or 5, and 3 has to have the sum of its digits being divisible by 3. ]

4. they do multiply to 30, but this does not help break the composite numbers down.

5. we cannot make every number with just these. we can not multiply any other whole number to get 7 for per example, because it's a prime number.

sub to gauthmath sub reddit if ya can !

They are prime numbers with nice divisibility rules

HELPPP PLEASE I DON'T UNDERSTAND!!

Answers

Answer:

B

Step-by-step explanation:

If all the coordinates are placed in a graph, the line would be straight. This would mean it is linear.

The answer is b,d,c, because the increase in x is same and the increase in y is also same but in a the increase in x is exponential meaning it gets multiplied so that is not linear.

Hope this helps!

Write two equivalent ratios using four different types of music in the data table showing. How do you know the ratios are equivalent? ​

Answers

The ratio is equivalent because 1/20 is 5 which means 9/10 is equal
wheres the data table ?

A parking lot is 4/5 full. There are currently 80 cars in the parking lot. How many cars need to leave the parking lot to make the lot 1/5 full?

A. 100
B. 60
C. 40
D. 20
E. 10

Answers

Answer:

60

Step-by-step explanation:

60........................................

Currently, Jacob’s mother is three more than nine times as old as Jacob. In eleven years, his mother will be five more than three times his age. Write a system of linear equations that models this situation. Let j represent Jacob's age, and let m represent his mother's age.
Write an equation that relates Jacob and his mother's current ages. Solve the system of equations.
What are their ages?

Answers

Answer:

Jacob is 4 years old and his mother is 40 years old.

Step-by-step explanation:

Part 1: The linear equations are  and

Part 2: Solving the equations, we have,  and

Part 3: Jacob is 4 years old and his mother is 40 years old.

Explanation:

Part 1: Let j represent Jacob's age, and let m represent his mother's age.

It is given that, "Jacob's mother is three more than nine times as old as Jacob". Writing it as linear equation, we have,

It is also given that, "In eleven years, his mother will be five more than three times his age". Writing it as linear equation, we have,

Simplifying this, we get,

Thus, the linear equation is

The linear equations are   and

Part 2: Solving the linear equation, we get,

Substituting  in

Simplifying, we get,

Hence,

Substituting  in

Solving the equations, we have,  and

Part 3: Since, j represents jacob and m represents the jacob's mother

Thus, Jacob is 4 years old and his mother is 40 years old.

Jacob - 4 years old
The Mother - 40 years old

Gina wants to solve the following proportion.


a / 5/8 = 3/5 / 2/3


A. explain how to solve the problem.

B. solve the proportion. show your work.

Answers

Step-by-step explanation:

please don't understand the question. will be happy if you take a shot of it.

Thanks

a/5/8 = 3/5 / 2/3

We can take the reciprocal of the denominator, since the denominator itself is a fraction

The above equation can be rephrased as,
(a) / (5/8) = (3/5) / (2/3)

Taking reciprocal

8a / 5 = 3*3 / 5*2

8a / 5 = 9 / 5*2

a = 9 * 5 / 5*2*8

5’s get canceled, 2 and 8 gets multiplied in the denominator.

We will then be left with,

a = 9 / 16


I have also verified it and got the right answer.

Choose a number line to model the following situation:

The temperature outside rose 15° and then dropped 15°. (4 points)

a
A vertical number line is shown with labels at 0 and 15. A red arrow (labeled dropped 15 degrees) begins at 15 and ends at 0. A purple arrow (labeled rose 15 degrees) begins at 0 and ends at 15.

b
A vertical number line is shown with labels at negative 15, 0, and 15. A red arrow (labeled dropped 15 degrees) begins at 0 and ends at negative 15. A purple arrow (labeled rose 15 degrees) begins at 0 and ends at 15.

c
A vertical number line is shown with labels at negative 15, 0, and 15. A red arrow (labeled dropped 15 degrees) begins at 15 and ends at 0. A purple arrow (labeled rose 15 degrees) begins at negative 15 and ends at 0.

d
A vertical number line is shown with labels at 0, negative 15, and negative 30. A red arrow (labeled dropped 15 degrees) begins at 0 and ends at negative 15. A purple arrow (labeled rose 15 degrees) begins at negative 15 and ends at negative 30.

Answers

Answer: A

Step-by-step explanation: It is showing that the temp Atari is raising by 15 ( +15) then dropping by 15 (-15)

Hope this Helps :))

Hxjs sis siss is ais sis sis sisw is

This shape is made of four congruent kites meeting at a point. Calculate the size of Angle K.

Answers

Answer:

k = 115°

Step-by-step explanation:

Hope it helped.

• • •

90 + 2k + 40 = 360

2k = 360-130

2k = 230

k = 115

Angle K = 115

Answered by gauthmath pls make brainliest and comment thanks

I really need help with this

Answers

Answer:

8/5

Step-by-step explanation:

There are 8 jokers combined, and 5 decks, so the mean is 8/5.

8/5 explanation gut above me

. Emma wanted to make an origami fish for each of her 22 classmates. She takes 30 minutes to make one fish. How long will Emma take to make all the fish? A 320 minutes B 11 hours © 600 minutes D 660 hours​

Answers

Answer:

11 hours

Step-by-step explanation:

50 minutes = 1 hour

30 minutes = 1/2 hour

She takes 1/2 per fish.

1/2 * 22 = 11

Answer: 11 hours

Simply multiply 22 and 30 and your answer will be 660 minutes.

Hope this helps!

IM SO SORRY PLEASE HELP ME!!!

Answers

Answer:B,D i think that's it

Step-by-step explanation: lmk if it was right or wrong

D for sure, and maybe E

I really need help with this math question ASAP

Answers

It seems that Jenny misplaced the decimal the correct answer should be 0.45
The correct answer is 0.45

If f(x) = 3x+1, then f(a+h) - f(a) =
1. 03 h
2. h
3. 3 h + 2

Answers

Ok I’m really sorry but I’m not sure if your options are right or my answer is…
But I tried my best ! Hope you understand !!
hey bestieeee the answer is 03 h

A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

What is the total distance the monkey has traveled when she completes her 25th swing? Round your final answer to the nearest meter.

Answers

Answer:

250,000 meters (m)

Step-by-step explanation:

First swing she passed through an arc of:

10m

Each swing, she passed through an arc of :

9/10

9/10×10=10

25×10=250km

250km converted to the nearest m=

250,000 Meters (m)

Note: *This is my opinion, you can try it and see if it's correct,I'm sorry if it's not. Good luck!*

250,000 meters (m)
Explanation guy above me

12(43)

5 (88)

8 (63)

7 (28)

Please help me i tried to do this but I really don't get this can somebody help? plsssssssssssssssssssssssssssssss(sorry for spam)

Answers

I’m not entirely sure how to answer this without a word problem, but from what I see, all you have to do is multiply the two numbers.
12 x 43= 516
5 x 88 = 440
8x 63= 504
7 x 28= 196
Usually, when you see a number followed by another number in parentheses, like here, that means to multiply.
12(43)=516
5(88)=440
8(63)=504
7(28)=196

Extra points for this question if you just use me for the points I will red flag you with no regrets/ Please help me.

Answers

Answer:

Step-by-step explanation:

The answer is the 2nd one

Express each of these percentages as a fraction
158%
solution for class 7

Answers

Answer: 158% = [tex]\frac{158}{100}[/tex] = [tex]\frac{79}{50}[/tex]

Hope it helps :)

79/50!!!!!!!!!!
!! 79/50!!!!!!!!!!
!!

I need help please thank you <:

Answers

Answer:

B

Step-by-step explanation:

We have the following

- 3,210,000

- 420,000

- 1,100,000,000

Now we rearrange the numbers as asked from least to greatest.

- 420,000

- 3,210,000

- 1,100,000,000

They answer should be B

Express each of the following fractions as percentages
12/25
solution for class 7

Answers

Like we did in the previous problem, divide and multiply by 100:
12 / 25 = 0.48
As a percentage, we multiply by 10p;
0.48 *100 = 48

[tex]\\ \sf\longmapsto \dfrac{12}{25}\times 100[/tex]

[tex]\\ \sf\longmapsto \dfrac{12\times 100}{25}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1200}{25}[/tex]

[tex]\\ \sf\longmapsto 48\℅[/tex]

Are the ratios 5:4 and 8:2 equivalent? yes or no

Answers

Answer:

no

Step-by-step explanation:

no its no

Answer:

I believe no

Step-by-step explanation:

I believe it is no but I could be wrong...if I am wrong I am very sorry and hope you can forgive me

Given: UR ∥ ST ∠R, ∠T right angles Prove: ∆RSU ≅ ∆TUS
What you will get:
25 pts
Brainliest

Answers

Here

Angle R = Angle T

UR = ST

US = SU

So using RHS conguerence criteria Triangle RSU conguerent to Triangle TUS

Heres your answer
Hope it helps !

Find the surface area of the square pyramid shown below.

Answers

Answer: Area = 160 unit^2

Explanation:

Area of square:

8 x 8 = 64

Area of the 4 triangle:

4(8 x 6/2) = 96

Area of pyramid:

96 + 64 = 160

Answer:

179.38 sq.units

Step-by-step explanation:

answer is in the pic

The sum of two consecutive integers is -92. Find the integers.

Answers

Answer:

x = -46.5

x + 1 = -45.5

Step-by-step explanation:

x + x + 1 = -92

2x + 1 = -92

      -1       -1

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

   2x = -93

   ----     ----

    2        2

   x = -46.5

x + 1

(-46.5) + 1

-45.5

Answer:

No solution

Step-by-step explanation:

We can set up an equation where x is the integer and x+1 is the next one

x+x+1=-92

2x+1=-92

2x/2=-93/2

x=-46.5

-46.5+1=-45.5

The problem is that integers do no include decimals so there is no possible whole number. This problem would be possible if it was consecutive odd integers.

The figure shows a line graph and two shaded triangles that are similar:



Which statement about the slope of the line is true?

A. It is fraction 1 over 2 throughout the line.
B. It is 2 throughout the line.
C.The slope from point O to point A is fraction 1 over 2 time the slope of the line from point A to point B.
D. The slope from point O to point A is two times the slope of the line from point A to point B.

Answers

Answer:

Answer is B

just do your work and proof the work and that will give u the right answer

Answer:

it is B

Step-by-step explanation:

it is just B man, trust

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