What should be added to 4c (– a + b + c) to obtain
3a (a + b + c) – 2b(a – b + c)?

Answer:

$2,000

Step-by-step explanation:

Since B sold the article to C at a gain of 20%, 2,640 must be 120% or 1.2 times the price that B paid.

To find the price that B paid, we just need to divide 2,640 by 1.2, as the original price multiplied by 1.2 = a 20% increase.

2,640/1.2= 2,200

The price B paid for it must have been 2,200.

Now we know that 2,200 was the price sold by A to gain 10%, therefore it is 110% or 1.1 times the original price A paid for it. Therefore, once again to find the original price, we just need to divide it by 1.1:

2,200/1.1 = 2,000

The original price it cost A was $2,000.

Hope this helped!

Answer:

4.5

Step-by-step explanation:

The sum of 3 and 7 is 10

then what number to you multiply 10 by to get 45

45 ÷ 10 = 4.5

so the answer is 4.5

Answer:

I have been working with

Step-by-step explanation:

pm

Reply

Answer:

Step-by-step explanation:

Cone:

radius r = 4 inches

height h = 18 inches

volume = πr²h/3 = (3.14)(4²)(18)/3 ≈ 301.44 cm³

Cylinder:

r = 4 inches

h = 3 inches

volume = πr²h = (3.14)(4²)(3) = 904.32 cm³

Volume of cylinder is three times the volume of cone.

Answer:

Cylinder volume = 150.80 in

Cone volume = 301.44 in

Step-by-step explanation:

Cylinder volume = πr²h

v= π (4)²(3)

v= π (16)(3)

v= 48π

v= 150.80 in

Cone volume: ⅓πr²h

v= ⅓π(4)²(18)

v= 96π

v= 301.44 in

Answer:

C ≈ 471.24

Step-by-step explanation:

Using the formula C= 2(pi)r we must find the radius first. Radius is half the diameter, which is 150 in this equation. We plug in c = 2(pi)75, and solve from there :)

Answer:

final cost of 3 pounds:  8 dollars  

final cost of p pounds:   3.75p - 3.25  dollars  

Step-by-step explanation:

Answer:

r = 1

Step-by-step explanation:

We need to isolate r, so first subtract 1 from both sides to get 19r = 19. Divide both sides by 19 to get r = 1

Answer:

it should be A

Step-by-step explanation:

because yes.

The given Feistel cipher's predictable key scheduling algorithm, where later round keys are derived from earlier ones, exposes a vulnerability.

The given Feistel cipher with sixteen rounds, a block length of 128 bits, and a key length of 128 bits is designed with a vulnerability that can be exploited using a chosen plaintext attack. The vulnerability lies in the key scheduling algorithm, where the later round keys are derived from the earlier ones in a predictable manner.

Here's how an attacker can decrypt a ciphertext c and determine the corresponding plaintext m using just a single oracle query, demonstrating the vulnerability to a chosen plaintext attack:

Initialization: The attacker starts by selecting a random plaintext p of 128 bits. They use an encryption oracle to obtain the corresponding ciphertext c'.

Oracle Query: Now, the attacker constructs a modified ciphertext c'' by flipping a single bit in the ciphertext c'. This effectively changes a single bit in one of the blocks after the final round of encryption.

Decryption Query: The attacker submits the modified ciphertext c'' to the encryption oracle. The oracle performs the decryption process, which involves reversing the encryption rounds.

Observation: The attacker now has two pieces of information:

The oracle's response for the modified ciphertext, which corresponds to the decrypted value of c''.

The decrypted value of c', which is equivalent to the original plaintext p.

Exploiting Vulnerability: Due to the predictable key scheduling algorithm, the attacker knows that the same round keys are used in both the decryption of c'' and the decryption of c' (which is equal to p). The attacker can observe the differences between the decrypted values of c'' and c', and from these differences, they can infer how the cipher processed the specific bit that was flipped.

Backtracking and Deriving Key Information: By analyzing the differences in the decryption results, the attacker can infer information about the round keys used in the process. Specifically, they can determine the values of the round keys used in the earlier rounds, up to round 8.

Reconstructing Decryption Process: Armed with the round key information, the attacker can reconstruct the decryption process used by the cipher. They know the round keys for rounds 1 to 8, and due to the vulnerability in the key scheduling algorithm, they can deduce the round keys for rounds 9 to 16.

Decrypting the Ciphertext: With a complete understanding of the decryption process, the attacker can decrypt the original ciphertext c to obtain the corresponding plaintext m.

This attack demonstrates that the vulnerability in the key scheduling algorithm and the predictable nature of key derivation lead to a situation where an attacker can determine the round keys with just one oracle query. This makes the cipher susceptible to chosen plaintext attacks, undermining its security.

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Answer: The price of an adult ticket = $6

The price of a student ticket = $12

Step-by-step explanation:

Let the price of an adult ticket be a

Let the price of a student ticket be b.

From the question,

5a + 14b = 198 ...... equation i

10a + 8b = 156....... equation ii

Multiply equation i by 10

Multiply equation ii by 5

50a + 140b = 1980 ...... equation iii

50a + 40b = 780 ....... equation iv

Subtract iv from iii

100b = 1200

b = 1200/100

b = 12

Put the value of b into equation ii

10a + 8b = 156

10a + 8(12) = 156

10a + 96 = 156

10a = 156-96

10a = 60

a = 6

The price of an adult ticket = $6

The price of a student ticket = $12

Answer:

30000

Step-by-step explanation:

Currently there are 5 significant figures.  Since there is a 5 after the 2, it would round it up to a 3.  Zeros aren't considered significant figures unless there is a period.  Therefore, 30000 is the answer.  3 is the 1 significant figure with four insignificant zeros.

Answer:

30000

Step-by-step explanation:

Remember non-zero numbers are significant.

Zero between non zero numbers are significant.

So 25637 to 1 significant figure is rounding it off to the nearest ten thousand in a simple way.

So 25637 to 1 significant figure simply becomes 30000.

HOPE IT HELPED.

ENJOY THE REST OF YOUR DAY OR NIGHT

Answer:

See below.

Step-by-step explanation:

-10.75(20x+15.2)

-215x-163.4

-hope it helps

The equivalent expression is,

⇒ - 215x - 163.4

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ - 10.75 (20x + 15.2)

Now, We can simplify as;

⇒ - 10.75 (20x + 15.2)

⇒ - 10.75 × 20x - 10.75 × 15.2

⇒ - 215x - 163.4

Thus, The expression is equivalent to - 215x - 163.4.

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Answer:

4

Step-by-step explanation:

I know this because if you try multiply each number there by 45 you would need to get the total of 180, but if you multiply 45 times 4 you may get 180. The answer you chose is wrong because it doesn't get to 180 with any number you try multiplying with that number you chose.  

Answer:

6.

1 table seats 5 students

2 tables seat 8 students

3 tables seat 11 students

4 tables seat 14 students

5 tables seat 17 student

Each new tables allows 3 more students to have a seat.

7.

Each additional table does not have seats for 5 students because the side of it is pressed against another table, so a student cannot sit there.

Answer:

3 cups of sugar.

Step-by-step explanation:

Divide 4.5 by 0.75(cups of flour) which gives you 6. Multiply 6 by 1/2.

Answer:

9 hours

Step-by-step explanation:

Answer:

esla  de f                     b

Step-by-step explanation:

Answer:

D (-1,3)

E (2,2)

F (2,1)

G (-1,0)

Step-by-step explanation:

Multiply each point by 1/5.

Or think of it as dividing each point by 5

D (-5,15) divide -5 by 5 get -1, divide 15 by 5 get 3

so, (-1,3)

The coordinate of the new trapezoid will be D'(-1, 3), E'(2, 2), F'(2, 1), and G'(-1, 0).

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

Trapezoid DEFG with vertices D(-5, 15), E(10, 10), F(10,5), and G(-5,0).

The scale factor will be 1/5. Then the coordinate of the new trapezoid will be given as,

D' = (-5/5, 15/5) = (-1, 3)

E' = (10/5, 10/5) = (2, 2)

F' = (10/5, 5/5) = (2, 1)

G' = (-5/5, 0/5) = (-1, 0)

The direction of the new trapezoid will be D'(- 1, 3), E'(2, 2), F'(2, 1), and G'(- 1, 0).

The diagram is given below.

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Answer:

For every 4 cars, there were 7 trucks.

Step-by-step explanation:

We go in the order it's given, if there are cars to trucks, we can assume the numerator in the ratio will be cars, and the denominator in the same ratio will be trucks.

Answer:

4, and 7

Step-by-step explanation:

if the ratio of cars to trucks is 4:7, that means there are 4 cars to every 7 trucks

Answer:

A≈1.77

Step-by-step explanation:

Answer:  y= -1/2x + 5  

Step-by-step explanation:

We will write the equation in slope-intercept form meaning that we will need to find the slope and the y-intercept.

The slope-intercept for is y=mx +b   where m is the slope and b is the y-intercept.

Find the slope by find the difference in the y coordinates and divide it by the difference in the x-coordinates.

The y-coordinates are 3 and 1  

The x coordinates are 4 and 8.

3-1 = 2  

4-8 = -4  

2/-4=   -1/2  

The slope is -1/2  

We will now use one of the points and the slope to find the y-intercept by plotting their values into the formula .

3= -1/2(4) + b

3= -2 +  b

+2  +2

b= 5

The equation will be y= -1/2x + 5

P = 2 * (6x - 5) + 2 * (1/4x + 2)

  = 12x - 10 + 1/2x + 4

  = 12 1/2x - 6   => A

Answer:

[tex]50x < 330 + 30x[/tex]

Step-by-step explanation:

Given

Helen:

[tex]Base\ Amount = \$330[/tex]

[tex]Weekly = \$30[/tex]

Vince:

[tex]Base\ Amount = \$0[/tex]

[tex]Weekly = \$50[/tex]

First, we need to determine Helen's and Vince's balance at x weeks.

[tex]Balance = Base\ Amount + Weekly\ Earnings * x[/tex]

For Helen:

[tex]Balance = 330 + 30 * x[/tex]

[tex]Balance = 330 + 30x[/tex]

For Vince:

[tex]Balance = 0 + 50 * x[/tex]

[tex]Balance = 50x[/tex]

As an inequality, we have:

[tex]Helen > Vince[/tex]

[tex]330 + 30x > 50x[/tex]

Reorder

[tex]50x < 330 + 30x[/tex]

Answer:

-4

Step-by-step explanation:

you just plug in. so, 2(6)-16

so, 2*6 is 12

12-16=-4

Answer:

g(6)= -4

Step-by-step explanation:

g(6) means x is equal to 6

g(6)= 2(6)-16

          12-16

g(6)= -4

Hope this helps!

Answer:

25

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

==>(x+3) = 16

==> x + 3 = 16

make x the subject of formula

=> x = 16 - 3

subtract 3 from 16

=> x = 13

Hey there!

Let's solve all these equations.

The first equation:

x+7=12

subtract 7 from both sides:

x=5

not 15 ;)

The second equation:

15+x=10

subtract 15 from both sides:

x=-5

not 15 ;)

13+x=38

subtract 13 from both sides:

x=38-13

x=25

not 15 ;)

let's try the last option (it has to work)

x+24=39

subtract 24 from both sides:

x=15

Yep!

Hence,

[tex]\boxed{\boxed{\bold{Option~D~is~correct.}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

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:-)