What is 10,000 + 4,000 + 500 + 8 in standard form?

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

The equation that can be used to determine the tax rate, x is ;44.31 = 42 + (x% of 42) where x = 5.5%

= $29.5

= $42

Total = total cost + x% of total cost

44.31 = 42 + (x% of 42)

44.31 = 42 + 42x/100

44.31 - 42 = 42x/100

2.31 = 42x / 100

x = 2.31 ÷ 42/100

= 2.31 × 100 /42

= 231/42

= 5.5%

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Answer:

18

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

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:  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

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:

144 in.²

Step-by-step explanation:

To convert ft to in. multiply ft by 12.

That means that 2 ft = 2 ft × 12 = 24 in.

width = 6 in.

length = 2 ft = 24 in.

area = length × width

area = 24 in. × 6 in.

area = 144 in.²

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:

17/35 divided by 9/10=34/63

Step-by-step explanation:

Answer:

[tex] \frac{34}{63} [/tex]

Step-by-step explanation:

[tex] \frac{17}{35} \div \frac{9}{10} = \frac{17}{35} \times \frac{10}{9} = \frac{17 \times 10}{35 \times 9} = \frac{34}{63} [/tex]

Answer:The answer is 40c=25c+60

Step-by-step explanation:

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:

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.

More about the dilation link is given below.

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Answer:

A. 32 g

B. 3670 g

Step-by-step explanation:

Basket + 25 bars: 1110 g

Basket: 310 g

25 bars: 1110 g - 310 g = 800 g

1 bar: 800 g / 25 = 32 g

105 bars: 105 × 32 g = 3360 g

Basket + 105 bars: 310 g + 3360 g = 3670 g

Answer:

A. 32 g

B. 3670 g

Answer:

-6<w<8

Step-by-step explanation:

-6<w<8

then 130÷4=3.5 for the first piece and 130-3.5=9.5

Answer:

A≈1.77

Step-by-step explanation:

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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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!

#LearningDoesn'tEnd

:-)

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:

Your answer is 15

Step-by-step explanation:

12 x 3 = 36

So..

5 x 3 = 15

What u do to the bottom you do to the top.

Answer:

the answer to your question is x equals 99

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

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

  = 12x - 10 + 1/2x + 4

  = 12 1/2x - 6   => A

Answer:

Simple interest counts interest on principal amount only. The time it will take to earn $336 in interest for given scenario is 2 years.

Step-by-step explanation: