8x+5y=-13
3x+4y=10
*4 on top
*5 on buttom
32x + 20y = - 52
15x + 20y = 50
subtraction
32x - 15x = - 52 - 50
17x = - 102
x = - 6
and then
3 * (-6) + 4y = 10
4y = 28
y = 7
the sum of 3 and 7 times a number is 45
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
Which of the following represents the perimeter of the figure below?
P = 2 * (6x - 5) + 2 * (1/4x + 2)
= 12x - 10 + 1/2x + 4
= 12 1/2x - 6 => A
Plz help i need it done fast
I'm not sure if I'm right or wrong can someone explain to me what the correct answer is asap?
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.
A cookie recipe calls for 3/4 cups of flour and 1/2 cups of sugar. If you use 4.5 cups of flour, how many cups of sugar do you need?
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.
Activity 1 Lesson 1 Patterns , Sequences and Rules
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.
The mass of a basket with 25 chocolate bars is 1110g. The mass of the empty basket is 310 g. A. What is the mass of 1 chocolate bar? b. What is the mass of the basket with 105 chocolate bars?
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
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Use π = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.
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
Driver's Delight is considering building a new circular track with a diameter of 150 feet, what is the circumference of the track
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 :)
I need this answer ASAP!! What is the area of a circle with a radius of 3/4?
Answer:
A≈1.77
Step-by-step explanation:
Which of the following are remote interior angles of 6? Check all that apply.
Answer:
esla de f b
Step-by-step explanation:
Question 12 Multiple Choice Worth 5 points)
(05.05 MC)
Shine has some money in his account. Every month, he uses the same amount of money from his account to pay for his music classes. The table below shows the amount of
money left in his account after a certain amount of time, in months
Shine's Savings
Month (x) Amount (dollars) (y)
0
190
1
145
N
100
3
55
What is the balue of the rate of change of the function for this table and what does it represent in this situation?
O S45 per month, the initial amount of money in the account
O-S190 per month, the amount of money withdrawn per month
O $190 per month, the initial amount of money in the account
0-S45 per month, the amount of money withdrawn per month
Find the equation of a line that passes through the points (4, 3) and (8,1)
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
Which expression is equivalent to −10.75(20x+15.2)?
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
What is an expression?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.
Learn more about the mathematical expression visit:
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Consider a Feistel cipher composed of sixteen rounds with a block length of 128 bits and a key length of 128 bits. Suppose that, for a given k, the key scheduling algorithm determines values for the first eight round keys, k1,k2,…k8, and then sets k9=k8, k10=k7, k11=k6,…, k16=k1 Suppose you have a ciphertext c. Explain how, with access to an encryption oracle, you can decrypt c and determine m using just a single oracle query. This shows that such a cipher is vulnerable to a chosen plaintext attack. (An encryption oracle can be thought of as a device that, when given a plaintext, returns the corresponding ciphertext. The internal details of the device are not known to you and you cannot break open the device. You can only gain information from the oracle by making queries to it and observing its responses. )
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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Annabelle went to the store to buy some apples. The price per pound of the apples is $3.75 per pound and she has a coupon for $3.25 off the final amount. With the coupon, how much would Annabelle have to pay to buy 3 pounds of apples? Also, write an expression for the cost to buy pp pounds of apples, assuming at least one pound is purchased.
Answer:
final cost of 3 pounds: 8 dollars
final cost of p pounds: 3.75p - 3.25 dollars
Step-by-step explanation:
6. Trapezoid DEFG with vertices D(-5, 15), E(10, 10), F(10,5), and G(-5,0):
k = 1/5
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).
What is dilation?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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can someone help with this problem 19r+1=20 need help
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
The ratio of cars to trucks in a parking lot was
4:7. For every _____
cars there were ______
trucks.
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
A sold an article to B at a gain of 10% ,B sold it to C at a gain of 20% .If C paid Rs.2,640 for it,what did it cost A?
Help me with this question please
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!
May you please send help for this answer?
Helen had $330 in her savings account when Vince opened a savings account with zero dollars. Helen deposited $30 into her account each week for x weeks. Vince deposited $50 into his account each week for x weeks. The accounts did not earn interest. Which inequality represents this situation when the amount of money in Helen's account was greater than the amount of money in Vince's account? A. 30x < 330 + 50x A. , 30x < 330 + 50x B. 50x > 330 + 30x B. , 50x > 330 + 30x C. 30x > 330 + 50x C. , 30x > 330 + 50x D. 50x < 330 + 30x
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]
Max lost 23 pounds while on a diet. He
now weighs 184 pounds. Write and solve
an equation to find his initial weight w.
PLEASE HELP I NEED TO PASS
“Find g(6) when g(x)=2x-16”
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!
You put $3000 in a CD (certificate of deposit) at the promotional rate of 5.6%. How long will it take to earn $336 in interest? years
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:
Which equation has a solution of x = 15?
A. X + 7 = 12
B. 15 + x = 10
C. 13 + x = 38
D. x + 24 = 39
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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:-)
Bill's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 5 adult tickets and 14 student tickets for a total of $198. The school took in $156 on the second day by selling 10 adult tickets and 8 student tickets. Find the price of an adult ticket and the price of a student ticket.
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
What are the x and y intercepts of a line described by the following equation? Please show your work for calculating the the x and y intercept:
-4x + 2y = 6
Given that (x+3)
= 16, determine the value of x2 + +without solving the equation.
.
Answer:
==>(x+3) = 16
==> x + 3 = 16
make x the subject of formula
=> x = 16 - 3
subtract 3 from 16
=> x = 13
What is 25637 to 1 significant figure
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