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.
What is multiplication?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
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Enter your answer in simplified fraction form
There are 4 queens in a standard deck of 52 cards. You pick one card at random. What is the probability of not picking a queen
The probability of not picking a queen i
Answer:
1/13
Step-by-step explanation:
Answer:
1/13 is the answer
Step-by-step explanation:
help plzzz...also give steps
which angles are vertical to each other ?
Answer:
Make me a Brainlist plsStep-by-step explanation:
10 and 4 I think so! it would be correct
Answer:
∠7 and ∠5
Step-by-step explanation:
What is the domain of the function y = √2x − 6
step by step pls
I NEED HELP ASAP!!!!! pls and thank you ^w^
The area of the rectangular floor in Tamara's room is 95 5/6 square
feet. The width of the room is 8 1/3 feet. What is the length of Tamara's
room?
Answer:
11 ½ feet
Step-by-step explanation:
Subtract:
3 1/8 - 1/2
Answer:
2 5/8
Step-by-step explanation:
3 1/8 - 1/2
Get a common denominator
3 1/8 - 1/2 *4/4
3 1/8 - 4/8
Borrow 1 from the 3 in the form of 8/8
2 + 8/8+1/8 - 4/8
2 9/8 - 4/4
2 5/8
Answer:
21/8 or 2 5/8
Step-by-step explanation:
Step 1: Find a common denominator for 1/2 to have the same denominator as 3 1/8:
1/2 is equal to 4/8, which has the same denominator as 3 1/8.
Step 2: Convert the mixed fraction into an improper fraction so it will be easier to subtract.
3 1/8 = 25/8
Step 3: Now subtract:
25/8 - 4/8 = 21/8 or 2 5/8 (keep the denominator the same)
Now you know that someone stole 4 pieces of your pizza :(
Hope this helps :)
-jp524
Which equation correctly models the relationship between hours passed, h, and the number of bacteria present, b, as shown in the table?
Amount of Bacteria
Hours # of
Passed Bacteria
0 1
1 2
2 4
3 8
4 16
A. b=2 to the h power
B. b=2 to the h power plus 1
C. b=2h
D. b=2h+1
sorry, it shows it a bit messed up. the number of hours is shown on the left side with the numbers directly below it. the number of bacteria is the second column.
Answer:
A. b = 2 to the h power
Step-by-step explanation:
For the table:
When:
h = 0, b = 1, so 1 = 2^0, 1 = 1
h = 1, b = 2, so 2 = 2^1, 2 = 2
h = 2, b = 4, so 4 = 2^2, 4 = 4
h = 3, b = 8, so 8 = 2^3, 8 = 8
h = 4, b = 16, so 16 = 2^4, 16 = 16
An ice cream sandwich has a length of 4 inches, width of 212 inches, and height of 34 inches.What is the volume of the ice cream sandwich?
Answer:
28832
Step-by-step explanation:
thats a big ice cream sandwich, can i have some?
Answer:
28832
Step-by-step explanation:
Formula: L x W x L
4x212x44= 28832
A mirror frame in the shape of an oval is shown below. The ends of the frame form semicircles:
An oval is formed by a rectangle with semicircles at each end. The length of the rectangle is 54 inches. The width of the rectangle is 27 inches.
Which of the following is the perimeter of the inner edge of the frame?
(π = 3.14)
192.78 inches
246.78 inches
277.56 inches
331.56 inches
please help lol
Answer:
The answer is 192.78 inches
Step-by-step explanation:
An oval is formed by a rectangle with semicircles at each end. We can visualize this easily.
The length of the rectangle is 54 inches.
The width of the rectangle is 27 inches.
The perimeter of rectangle is =
=
= 162 inches
And because there are two semicircles, we can combine them to form a circle. So, perimeter of a circle is called a circumference.
The width of the rectangle forms the diameter, so its half will be the radius.
r =
The circumference is given by :
= inches
Now as the described oval shape is a complete figure without lines inside, we will subtract the width of both sides of the rectangle from the complete perimeter.
The complete perimeter is = inches
The inner edge perimeter will be = = 192.78 inches
pls mark as brainliest
Answer:
1st option
Step-by-step explanation:
Consider the inequality -20.2 > 0y. Which of the following must be true? Check all that apply.
1.You cannot divide by zero.
2.The inequality is equivalent to -20.2 > 0, which is false.
3.The solution is y > 0.
4.The solution is 0 > y.
5.The solution is y = 0.
Answer:
Step-by-step explanation:
1 and 2
1 because indeed you can't divide -20.2 by zero to get y
2 because the inequality is basically a false situation.
which angle is supplementary to 16 ?
Answer:
Angle 13 is supplementary to angle 16
Answer: Angle 13 is supplementary to angle 16
Step-by-step explanation: I took the test
How do you convert parts per million (ppm) to meters?
Answer:
100,000 in 1
Step-by-step explanation:
which angle is adjacent to 9 ?
Answer:
its the last one 12
Step-by-step explanation:
A family went out to eat. Below is the number of corn dogs that each of the four people ate.
Answer:
What are you asking? I know the number of corn dogs but what are we suposed to figure out?
Step-by-step explanation:
3√3 / √30
step by step pls
Answer:
3√10/10
Step-by-step explanation:
see the photo
............
Please help I will make brain!!
Fracisco's game involves 3 green, 2 yellow, 4 red, and 3 black marbles. If he randomly draws three marbles from the bag, without replacement, what is the probability that he will draw yellow, and then red, and then black?
StartFraction 1 over 192 EndFraction
StartFraction 1 over 72 EndFraction
StartFraction 3 over 220 EndFraction
StartFraction 1 over 55 EndFraction
Answer:
There are 12 marble if you add them all together, (3+2+4+3=12)
the probability of drawing a yellow is 2/12 the probability of drawing a red marble is 4/11 The probability of drawing a black is 3/10Multiply them together.
2/12 times 4/11 times 3/10.
=24/1320
Step-by-step explanation:
which angles are complementary to each other select all that apply
Answer: 4 and 1
Step-by-step explanation:
Both ∠4 and ∠1 are equal angles. Both the angles are beside a right angle and you can measure it. The other answers are over 90 degrees, or below 90. This is because they either combine a 90 degree angle with another angle, or that they are too small and obvious that they are not complementary.
Answer:
<2 and <4
complimentary <s add up to 90 °
JUST READ THE ATTACHMENT
Plz help will be marked BRAINLIEST
Answer:
a-45
b-30
c-90
Step-by-step explanation:
blue shape-90 degree angle
pink is 45 since 2 make up a quadrant
aqua is 30 because half 2 quadrants equal 180.
180-(45x2)=90
90/3=30
hope this helps!
Find the mean of the set of data. Use a calculator if necessary.
1, 5, 8, 10, 11
The Mean is _____.
5
7
6
8
Answer:
7
Step-by-step explanation:
mean is average of the numbers
add all values then divide by the numbers
(1+5+8+10+11) / 5
35 / 5 = 7
which angles are supplementary to each other ? Select all that apply
Answer:
angles 3 and 1
angles 3 and 2
angles 2 and 1
Which group contains numbers that all round most closely to 0? 1/2,2/7,9/10 3/4,5/6,7/9 3/5 , 2/4,4/7 1/5 ,2/9 , 0/4
Answer:
0/4 and all the other numbers in it's group are super low, so the last group. 0/4 is 0.
Mark wants to paint a mural. He has 1 1/4
gallons of yellow paint, 1 1/5
gallons of green paint, and 7/8 gallon of blue paint. Mark plans to use 3/4
gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction.
Mark will have gallons of paint left after painting the mural.
Answer: 1 5/24
Step-by-step explanation:
Please give brainliest and a Heart
Find the volume of this prism.
Help with math 10 points
What angle is complementary to 1 ? I'll mark brainliest
Answer:
angle 2
Step-by-step explanation:
complementary angle to angle 1 is angle 2 because in complementary angle sum of two amgle is 90 degree and when we add angle 1 and angle 2 it gives us 90 degree since they are perpendicular.
Teddy wants to wrap a gift she bought for her best friends birthday. Determine how much wrapping paper she will need to cover the entire surface area of the gift box. (and yes that side is 5.3 incase you are questioning if that point is there or not.
A. 127.2 in squared
B. 24.6 in squared
C. 49.1 in squared
D. 98.2 in squared
Answer:
127.2
Step-by-step explanation: