To encode a message, James first replaces each letter within the message with its
corresponding number, where A = 1, B = 2, · · · , Y = 25, and Z = 26. Next, James
multiplies each number by 3 and then subtracts 5, and continues this process a total
of n times. For example, when n = 2 the letter D is encoded to the number 16.
If James encoded a four letter message to the four numbers 367 205 853 1339, what
is the value of n that he used?
(A) 2 (B) 3 (C) 4 (D) 5 (E) 6

The value of n is 4. That means, the process is applied 4 times.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

To encode a message,

James first replaces each letter within the message with its corresponding number, where A = 1, B = 2, · · ·, Y = 25, and Z = 26. Next, James multiplies each number by 3 and then subtracts 5, and continues this process a total of n times.

To find the value of n:

We use process inversely.

Let m be the given number.

For example,

m = 16

The inverse process;

add 5 and then divide by 3 until we get the whole number.

So, first time

(16 + 5)/3 = 21/3 = 7,

Second time applying process,

(7+5)/3 = 4.

And the corresponding letter is D.

And the value of n is 2.

Now, m = 367

Applying process inversely,

First time,

(367 + 5) / 3 = 124

Second time,

(124+5)/3 = 43

Third time,

(43+5)/3 = 16

Fourth time,

(16+5)/3 = 7

m = 205

Applying process inversely,

First time,

(205+ 5) / 3 = 70

Second time,

(70+5)/3 = 25

Third time,

(25+5)/3 = 10

Fourth time,

(10+5)/3 = 5

m = 853

Applying process inversely,

First time,

(853+ 5) / 3 = 286

Second time,

(286+5)/3 = 97

Third time,

(97+5)/3 = 34

Fourth time,

(34+5)/3 = 13

m = 1339

Applying process inversely,

First time,

(1339+ 5) / 3 = 448

Second time,

(448+5)/3 = 151

Third time,

(151+5)/3 = 52

Fourth time,

(52+5)/3 = 19

We applied the process 4 times.

Therefore, the value of n is 4.

To learn more about the multiplication;

https://brainly.com/question/19634536

#SPJ2

what is 6x1/2
a. 7/2
b. 7/8
c. 6/12
d. 6/2

what angles are complementary to 3 ? select all that apply

If it snows on a given day, the probability that it snows the next day is 13. If it doesn’t, the probability that it snows the next day is 16. The probability it will snow tomorrow is 25. What is the probability that it will snow the day after tomorrow?

-2 - -4 * -9 =
HELP I WILL GIVE BRAINLIEST!

How much fabric did Daria use to make this number cube?

Line segment AB is the diameter of a circle. Find the center of the circle if:

A = (-1, 7) and B = (-5, 2)

Which set of coordinates satises the system of equations y = x − 3 and y = -2x + 1? A. A B. B C. C D. D

4.Find the solution mentally.
a. 3 x -4 = a
b. b x (-3) = -12
c. -12 x c = 12
d. d x 24 = -12

Which set of values make the inequality n > -5 true?

A: {-5, -5.5, -6}

B: {-5, -4.5, -3}

C: {-6, 0, 5}

D: {-6, -7, -8}

Pls help me so I can pass my math if I don’t pass I’ll get left back

Find the difference. 7.6 - 5.88

PLEASE HELP. BRAINLEST IF CORRECT

Help please god bless you!!!!!

Find the mean, median, and mode of the data set. Round to the nearest tenth.

5, 7, 2, 6, 7, 10, 12, 7, 9, 13, 5

1.- The Tenth-grade classroom has a rectangular shape whose length measures 4m more than the width.

a) Calculate the width and length of the rectangular classroom, knowing that its perimeter is 28m.
b) Calculate the area and the number of desks that must fit in the classroom to comply with the biosecurity standards of 1.5m of social distancing.

Plz help will be marked BRAINLIEST
Thanks !

solve it asap.........

The Math Club at Dawn's school had a Math Carnival. At her booth, Dawn set up three scales with baseballs, tennis balls, and soccer balls, as shown in the picture above. Each soccer ball weighs 12 ounces.

Contestants tried to determine the weight of each kind of ball.

How much does each kind of ball weigh?

[Assume that all the soccer balls weigh the same, all the baseballs weigh the same, and all the tennis balls weigh the same.]
1.How does each ball weigh.
2.How much does each tennis ball weigh.
Answer those questions

BRAINLIEST IF CORRECT

I need some help guys

Look at the pic below for the question please help!!

HELP I REA;LLY WANNA GO TO BED Which side lengths form a right triangle?

Can I get helpppp plzz...also give steps

find surface area of the square pyramid!!! pls i need help with explaining!!!!!

What is the mean average of hours completing homework each week based on the table below:
Number of hours each week
completing homework | 1 | 2 | 3 | 4 | 5
# of students | 6 | 20 | 15 | 12 | 7

A bakery offers a sale price of $3.45 for 6 muffins. What is the price per dozen?

A circus has 15 performers, of which 6 are magicians.

What is the probability that a randomly selected performer will be a magician?

Write your answer as a fraction or whole number.

P(magician) =

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Solve the following equation.
-5 = s- 3

eight workers can clear twenty acres of a field in three days. how many workers are needed to clear fifty acres in five days

Collins has a part-time job as a dog walker. The table below shows the amount of money Collins earned for different numbers of hours of work:


Collins' Earnings from Dog Walking
Number of Hours Worked Money Earned (dollars)
5 30
6 36
8
66


Part A: What are the missing numbers in the table? Show your work. (4 points)

Part B: Collins also does part-time yard work. The ratio of the number of hours Collins works to the money he earns in dollars is 1:7. Create a table to show the money earned by Collins for 5, 6, and 8 hours of doing yard work. (3 points)

Part C: How many more dollars does Collins earn doing yard work for 5 hours than working as a dog walker for 5 hours? Show your work. (3 points)