16x - 8 can be 8(2x - 1)
The distributive property is used to generate this expression.
The distributive property states that multiplying the sum of additional addends by a number yields the same outcome as multiplies each addend separately by the number and combining the resulting products.
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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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How many times does the graph of y = x2 – 8x + 12 intersect the x-axis?
A football player attempts to kick a football across a field. The path of the football can be modeled by the function h(x) = − 1/225 x^2 + 2/3 x, where x is the horizontal distance from the kick, and h(x) is the height of the football above the ground, when both are measured in feet. How far from the kicker will the football land? Please Help Me!
Answer:
too complex boy Soo hard
Pls help me so I can pass
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
Please help I will make brain!!
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:
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!
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
im failing lol help The areas of the squares adjacent to two sides of a right triangle are 29.25 units^2 and 13 units ^2
Answer and Step-by-step explanation:
To find the length of z, we need the lengths of the other 2 sides first. Simply take the square root of both areas and that will be your sides.
[tex]\sqrt{13}[/tex] and [tex]\sqrt{29.25}[/tex]
Now find z, the hypotenuse.
[tex](\sqrt{13}) ^2 + (\sqrt{29.25} )^2 =z^2\\\\13 + 29.25 = z^2\\\\42.25 = z^2\\\\\sqrt{42.25} = z\\\\6.5 = z[/tex]
6.5 is the answer.
#teamtrees #PAW (Plant And Water)
Help please?!!!!!!!!:8/8/&
Answer:
The answer is A) y =3x + 3
Step-by-step explanation:
You substitute the gradient and y intercept into the equation of y = mx +b
Consider the following 8 numbers, where one labelled x is unknown.
50, 22, 42, x, 30, 42, 9, 23
Given that the range of the numbers is 66
work out 2 values of x
this is how the answer is suppose to be written:
Step-by-step explanation:
this may be the answer
but I am not that sure
please help!!!!! find surface area of prism!!!!!!
Answer:
228cm^2
Step-by-step explanation:
Formulas we'll use: area of a rectangle is length x width, and area of a triangle = 1/2x base x height
the base is a rectangle, 10 by 3 cm. 10 x 3 = 30cm^2
the sides are also rectangles, 13 by 3 cm. 13 x 3 = 39, but there are 2 of them, 39 x 2 = 78cm^2
The top and bottom are triangles, 1/2(10)(12) = 1/2(120) = 60, but there are 2 of them, 60 x 2 = 120cm^2
Add up the areas to get your total surface area. It's in square cm
30 + 78 + 120 = 228cm^2
PLZ HELP ME ANSWER THIS NO INCORRECT PLS THANK YOU
Answer:
number 1 is A: 8<4x+10
number 2 is i: 2x+7<5
number 3 is E: 8<3x+4
number 4 is D: 2-5x<5
A livestock pen is built in the shape of a rectangle
that is 3 times as long as it is wide. The perimeter is
64 feet. If the material used to build the pen is $1.75
per foot for the longer sides and $2.25 per foot for
the shorter sides (the shorter sides have gates, which
increase the cost per foot), find the cost to build the
pen.
It costs $
to build the fence.
3√3 / √30
step by step pls
Answer:
3√10/10
Step-by-step explanation:
see the photo
............
The area of the rectangular floor in Tamara's room is 95 5/6 square
feet. The width of the room is 8 feet. What is the length of Tamara's
room?
Answer: 11 1/2 ft
Step-by-step explanation:
We know that the equation for the area of a rectangle is:
length x width = area
All we have to do is fill it in with the numbers and solve:
length x 8 1/3 = 95 5/6
length = 95 5/6 ÷ 8 1/3
length = 23/2 = 11 1/2
Thus, the length of Tamara's room is 11 1/2 feet.
help plzzz...also give steps
Answer:
392π
Step-by-step explanation:
Equation is 1/3(piR^2)*h
Radius is 7, 7 squared is 49.
1/3(49π)(24)
392π
Stock for the Jones Corporation starts with a value of $39.63 and gains $0.30 in value per month. Stock for the Overton Company starts with a value of $24.45 and gains $0.80 in value per month. When are the two stocks nearly equal in value?
A after 3 monthsafter 3 months
B after 4 monthsafter 4 months
C after 15 monthsafter 15 months
D after 30 months
The answer is D After 30 months EZ.
Please help asap or give explanation for brainliest
Answer:
Hi, I believe 1-0.25c is the correct answer.
Step-by-step explanation:
This is because 25% off would mean taking 25 off of a whole amount, which in this case would be one.
Help with math 10 points
The ratio of chickens to roosters is 10 to 2. If there are 25 chickens, how many roosters are there? Complete the ratio table to solve.
Answer:
5
Step-by-step explanation:
I hope this answer be right:)
Answer:
Step-by-step explanation:
let the roaster be x
ratio of chicken to roosters is 10 :2
chickens /rooster =chickens /rooster
10/2=25/x
do cross multiplication
2*25=x*10
50=10x
50/10=x
5=x therefore there are 5 roosters.
1.) 7+7/9x=−42 2.) 4x+1=−15 3.)−4(x−3)=−40
Answer:
1) x= -1/27
2) x=-4
3) x=13
Step-by-step explanation:
1) 7+7/9x= = -42
14/9x= = -42
14/9x X 9x= -42 X 9x
14= -378x
-378x= 14
-378x/-378= 14/-378
x= -1/27
2) 4x+1=−15
4x+1-1=-15-1
4x=-16
4x/4= -16/4
x=-4
3) −4(x−3)=−40
-4(x-3)/-4= -40/4
x-3=10
x-3+3=10+3
x=13
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?
Answer:
1/13
Step-by-step explanation:
Answer:
1/13 is the answer
Step-by-step explanation:
Plz help will be marked BRAINLIEST!!!
Answer:
m=90
Step-by-step explanation:
if you only need to do one other angle then do m. it's a right angle
Answer:
i think it's D
it's hard to explain but i'm sure it's D
Please answer asap :)
Will Give Brainliest to correct answer
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
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
which angles are supplementary to each other ? Select all that apply
Answer:
angles 3 and 1
angles 3 and 2
angles 2 and 1