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.
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answer for 10 points and brainly
Answer:
I have matched the answer in the fig hope it helped u
Step-by-step explanation:
can u mark me as brainlist plz...
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?
$18.75 to $18.60 identify the percent of change as an increase or decrease . then find the percent of change round to the nearest tenth of a percent , if necessary
Answer:
0.8%
Step-by-step explanation:
There is a decrease in percentage by 0.8%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
The given decimal numbers are $18.75 and $18.60.
We know that, percentage change = (Original price-New price)/Original price ×100
= (18.75-18.60)/18.75 ×100
= 0.15/18.75 ×100
= 0.008×100
= 0.8%
Therefore, there is a decrease in percentage by 0.8%.
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if the diameter of a disc is 50 ft, what will be the area of the disc?
Please help me on this.
i'm stuck on it.
Hey there! Your answer is:
1,963
Step-by-step explanation:
Please mark Brainliest<3
help quick please please
Pls help me so I don’t get left back.
Answer:
a) ∠ IHJ is 55° because MIJ is a straight angle
∠IHN is 125° because vertically opposite from ∠IHM
∠ NHM is 55° because it is vertically opposite from ∠ IHJ
b) Angles 4 and 6 are interior angles. They equal to 180. A similar example to that is ∠5 and ∠3.
c)Angle 1 and 5 are corresponding angles. They equal the same. Anothe example would be ∠6 and ∠2.
Hope this helped!
Aha I'm failing so if you could help that would be great :D. Find the value of x in the triangle shown below.
Answer:
8
Step-by-step explanation:
p = ?
h = 10
b = 6
Now,
p2 = h2 - b2
p2 = ( 10)2 - (6)2
p2 = 100 - 36
p2 = 64
p = root under (64)
p = 8
The radius of a circle is 4 feet. What is the circumference?
Answer:
opuion c is correct
Step-by-step explanation:
circumference=2πr
=2*3.14*4
=25.12
in terms of π circumference is 8π
Help with both answers thanks.
And no links pls
Simplify the expression. (1)/(2)(-(5)/(6)+(1)/(3))
Answer:
0.5
Step-by-step explanation:
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!
Can someone answer these for me (real answers only please) thank you!!!!!!
Answer:
5. an increase and then decrease; the spike in visitors could be because of the start of summer
6. December is around Christmas, where most people would have holiday
7. (I'm not sure)
Need help with these 2 questions ASAP, no links and a answer with an explanation will get brainly
Answer:
Yes, Fiona is correct
Step-by-step explanation:
WHen the pythagorean theorem is applied to the side lengths (2^2 + 4^2 = c^2), the result for c^2 is 20. The correct answer would be sqrt.20. But Fiona is also correct becuase sqrt of 20 can be simplified to sqrt.4 * sqrt.5; which equals 2*sqrt.5
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.
I need some help guys
Answer:752+136=888
Step-by-step explanation:
Answer:
752+136=888
Step-by-step explanation:
Using the tip, (4+5=9 is equal to 5+4=9), just switch the two numbers that add up to 888. So instead of 136+752=888, do 752+136=888 because both of those add up to the same number.
Hope this helps :)
Which value is equivalent to the expression 2 to the 3rd power + 3 to the 4th power??
a) 18
b) 72
c) 78
d) 89
Answer:
89
Step-by-step explanation:
2^3 + 3^4
=8 + 3^4
=8 + 81
=89
The mean of four numbers is 21. The range is 15. The greatest number 29.The two middle numbers differ by 3
Answer: 5
Step-by-step explanation:
Need help with math 15 points
Answer:
# candies bought and # shirts bought
Step-by-step explanation:
ABCDEFGH is a rectangular prism with CD=5, AD=6, and AE=8. Find the volume of tetrahedron ABCF.
Answer:
40
Step-by-step explanation:
the volume of tetrahedron ABCF =
⅓× ½×5×6×8 = 40
The volume of the given tetrahedron ABCF will be 40 cube units.
What is a tetrahedron?A tetrahedron is a polyhedron having four faces, six edges, and four vertices, all of which are triangles. It is also known as a triangular pyramid with a triangle base.
The ABCDEFGH is a rectangular prism given in the question, which has :
CD = 5, AD = 6, and AE = 8
We have to determine the volume of tetrahedron ABCF.
As per the question, the required solution would be as:
The volume of tetrahedron ABCF = 1/3 × 1/2 × 5 × 6 × 8
Apply the multiplication operation, and we get
The volume of tetrahedron ABCF = 40 cube units
Thus, the volume of the given tetrahedron ABCF will be 40 cube units.
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The temperature in Wisconsin is -4 degrees Fahrenheit on Friday. Use the expression 5 (F-32) over 9 to find this temperature in degrees Celsius. Then explain its meaning.
Answer:
5(-4 - 32)/9 = -20˚C
Answer:
5(-4 - 32)/9 = -20˚C
Step-by-step explanation:
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:
On a scale drawing, the height of a tree is 3 inches. If the scale of the drawing is 1 in:50 ft , how tall is the tree?
Answer:
A
Step-by-step explanation:
Please, help me with this question. It is due soon. Also have a great evening!
And remember if you don’t know the answer or don’t understand it and just want points don’t even bother to write a “ANSWER” down because it is irritating and annoying and it lastly wastes my time and has no help towards me!!!!
Answer:
Step-by-step explanation:
The point that represents the data in the fourth column has the coordinates: (13, 9)
How many points would be shown on a scatter plot of these data?: 5
Am I correct?
Tell me if I’m wrong and what is the correct answer.
Answer:
3.6 is the correct answer because it is bigger,
Step-by-step explanation:
Help please!! Will give Brainly, and 50 Points.
Answer:
c. (11,-21)
Step-by-step explanation:
to visualize this, i put it on a graph and if you graph the 2 lines you find the point they intersect, which is (11, -21) Hope this helps!
Answer:
C
Step-by-step explanation:
Lauren has a points card for a movie theater.
She receives 60 rewards points just for signing up.
She earns 5.5 points for each visit to the movie theater.
She needs 104 points for a free movie ticket.
Write and solve an equation which can be used to determine xx, the number of visits Lauren must make to earn a free movie ticket.
Multiply points per visit x number of visits, using x for the number of visits:
5.5x
Add that to the points she already has:
5.5x + 60
This needs to equal a total of 104 points:
5.5x + 60 = 104
Now solve for x
5.5x + 60 = 104
Subtract 60 from both sides
5.5x = 44
Divide both sides by 5.5
X = 8
She needs 8 more visits
***no links please:)****
Answer:
A
Step-by-step explanation:
√64 = 8
so B isn’t correct because 8.16... is greater than 8 and the same is for C
The only correct option is A: 7.5
Answer:
the answer is
A because /64= 8
and between 6⅛ and 8
its 7½
Joel scores in 80% of his games. His team is starting the playoffs, and if they make it to the state championship, they will have played 5 games. Joel wants to determine the probability that he scores in 4 of the 5 games.Which simulation design has an appropriate device and a correct trial?
A) Roll a die letting 1 represent Joel scoring and 2-6 represent Joel not scoring. Roll the die four times.
B) Roll a die letting 1 represent Joel scoring and 2-6 represent Joel not scoring. Roll the die five times.
C) Using a table of random digits select a digit between 0 and 9. Let 0-7 represent Joel scoring and 8-9 represent Joel not scoring. Select four digits.
D) Using a table of random digits select a digit between 0 and 9. Let 0-7 represent Joel scoring and 8-9 represent Joel not scoring. Select five digits.
Answer:
D
Step-by-step explanation:
4 out of 5 games is 80%:
So if we know, as a rule that "Joel scores in 80% of his games.", the probability that he will score in 80% of his games is 1 - that is, we know it for sure
100% sure
1. Select all the equations that have 2 solutions.
A. (x + 3)2 = 9
B. (x – 5)2 = -5
C.)(x + 2)2 – 6= 0
D. (x – 9)2 + 25 = 0
E. (x + 10)2 = 1
F. (x - 3)2 = 0
G.5 = (x + 1)(x + 1)
.....................
