Can someone help me with these questions on my math sheet before I fail class? Thanks

The cost of a paperback book (P) is $5 and the cost of a hardcover book (H) is $7.50.

Let's denote the cost of a paperback book as "P" and the cost of a hardcover book as "H". We can set up a system of equations based on the given information:

Equation 1: 2P + 2H = 25

Nate buys two paperbacks (2P) and two hardcovers (2H) for a total of $25.

Equation 2: 3P + H = 22.50

Tia buys three paperbacks (3P) and one hardcover (H) for a total of $22.50.

Now, we can solve this system of equations to find the values of P and H. By rearranging Equation 1, we get:

2P = 25 - 2H

P = (25 - 2H)/2

Substituting this value of P into Equation 2, we have:

3((25 - 2H)/2) + H = 22.50

Simplifying the equation, we get:

37.5 - 3H + H = 22.50

-2H = 22.50 - 37.50

-2H = -15

H = -15/(-2)

H = 7.50

Substituting this value of H back into Equation 1, we can find P:

2P + 2(7.50) = 25

2P + 15 = 25

2P = 10

P = 5

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The price of a paperback book is $5, and the price of a hardcover book is $7.50.

Let's denote the price of a paperback book as "P" and the price of a hardcover book as "H".

Nate buys two paperbacks and two hardcovers for $25:

Equation 1: 2P + 2H = 25

Tia buys three paperbacks and one hardcover for $22.50:

Equation 2: 3P + 1H = 22.50

We can solve this system of equations using any method, such as substitution or elimination. Here, we'll use the substitution method.

2P + 2H = 25

2H = 25 - 2P

H = (25 - 2P)/2

H = 12.5 - P

Now, substitute this expression for H into Equation 2:

3P + 1H = 22.50

3P + 1(12.5 - P) = 22.50

3P + 12.5 - P = 22.50

2P + 12.5 = 22.50

2P = 22.50 - 12.5

2P = 10

P = 10/2

P = 5

Now that we have the value of P, we can substitute it back into Equation 1 to find H:

2P + 2H = 25

2(5) + 2H = 25

10 + 2H = 25

2H = 25 - 10

2H = 15

H = 15/2

H = 7.5

Therefore, the price of a paperback book (P) is $5, and the price of a hardcover book (H) is $7.50.

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Answer: present age of father=42

               present age of son=14

Step-by-step explanation:

let x=present age of father

56-x=present age of son

10 yrs ago:

x-10=age of father

56-x-10=46-x=age of son
age of father=8 times age of son

x-10=8(46-x)

x-10=368-8x

9x=378

x=42

56-x=14

present age of father=42

present age of son=14

Answer:

C. 16π

Step-by-step explanation:

Well we need to find the area of the top circle which has a radius of 4cm.

π(4)^2

16π in terms of pi

Thus,

the answer is C. 16π.

Hope this helps :)

Answer:

- 3 1/4, -2 5/8, -4 1/2

Answer:

a. y=x^2

Step-by-step explanation:

desmos graphing calculator

Answer:

7 pencils

8 sweet tarts

Step-by-step explanation:

7*0.35=2.45

8*0.10=0.80

2.45+0.80=3.25

7+8=15

Answer:

inferno

Step-by-step explanation:

bb u the reason why hells so hot hell so not ohhhhhhh lallalalala

Answer:

A?

Step-by-step explanation:

Answer:

A, sandwichs

it should have an 'e' between h and s

Step-by-step explanation:

i hope this is the answer to your question, please give me brainliest

The equatiion where C is the constant of integration.To evaluate the indefinite integral ∫(3e^x + 4x^5 - x^3/4 + 1)dx, we can integrate each term separately.

∫3e^x dx = 3∫e^x dx = 3e^x + C₁

∫4x^5 dx = 4∫x^5 dx = 4 * (1/6)x^6 + C₂ = (2/3)x^6 + C₂

∫-x^3/4 dx = (-1/4)∫x^3 dx = (-1/4) * (1/4)x^4 + C₃ = (-1/16)x^4 + C₃

∫1 dx = x + C₄

Now, we can combine these results to obtain the final answer:

∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C

Therefore, the indefinite integral of (3e^x + 4x^5 - x^3/4 + 1)dx is:

∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C

where C is the constant of integration.

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Answer:

Step-by-step explanation:

1/2 = 0.5

r = d / t  (rate  = distance / time)

r = 7 / 0.5

r = 14 miles per hour.

Same formula

d = 12 miles

t = 3/4 hour = 0.75 hours.

r = 12 / 0.75

r = 16 miles / hour

Patrice's boat is faster.

Answer:

3 1/3

Step-by-step explanation:

x=10/3

Answer:

200 in²

Step-by-step explanation:

To find the area, you need to split it into two squares. The upper square would be 10 inches times 10 inches which would give you 100 inches squared. Since both are the same size, you can add both square areas together to give you 200 inches squared.

There are 55 ways to form a train consisting of tank cars, boxcars, and flatcars by using concept of combinations.

If there are t tank cars, b boxcars, and f flatcars in the train yard, then the number of ways to form a train by selecting some of these cars is the same as the number of ways to distribute n = t + b + f identical objects into three distinct boxes, such that each box may receive any number of objects (including zero). The solution is given by the combination formula:

C(n + k - 1, k - 1)

where k is the number of boxes (in this case, k = 3). Therefore, the number of ways to form a train from t tank cars, b boxcars, and f flatcars is:

C(t + b + f + 3 - 1, 3 - 1) = C(t + b + f + 2, 2) = (t + b + f + 2)! / ((t + b + f)! * 2!)

There are 4 tank cars, 3 boxcars, and 2 flatcars in the train yard, then the number of ways to form a train is:

C(4 + 3 + 2 + 2, 2) = C(11, 2) = 55

Therefore, there are 55 ways to form a train consisting of tank cars, boxcars, and flatcars

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As per the given data, the shared secret key between you and Agustín is 150.

To determine the shared secret key in the Diffie-Hellman-Merkle key exchange, we need to perform the following steps:

1. Calculate the public key:

  - Generator (g): 7

  - Prime modulus (p): 437

  - Your secret number (a): 203

  Public key = (g^a) mod p

  Public key = (7^203) mod 437

  Calculate the exponent using modular exponentiation:

  Public key ≡ 196 (mod 437)

  Therefore, your public key is 196.

2. Agustín's public key is given as 26.

3. Calculate the shared secret key:

  - Agustín's public key (B): 26

  - Your secret number (a): 203

  - Prime modulus (p): 437

  Shared secret key = (\(B^a\)) mod p

  Shared secret key = (\(26^{203\)) mod 437

  Calculate the exponent using modular exponentiation:

  Shared secret key ≡ 150 (mod 437)

Therefore, the shared secret key between you and Agustín is 150.

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Difference between the fees of Ahab and his sister is \(2.8*10^{3} -1.15*10^{3}=1.65*10^{3}\)

Review the following subtraction rules and properties:

Given: Ahab pays dollars for one year's tuition fees and his sister pays dollars fees in tuition for the first year

To find: Difference in tuition fees paid by Ahab and his sister?

Solution:

To find the difference in their fees we have to perform simply normal subtraction

Subtract the fees of his sister from Ahab's fees which is as follows:

\(2.8*10^{3} -1.15*10^{3}=1.65*10^{3}\)

Hence the difference between the fees of Ahab and his sister is \(2.8*10^{3} -1.15*10^{3}=1.65*10^{3}\)

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Answer:

13

Step-by-step explanation:

31-18=13

Answer:

Step-by-step explanation:

a.

To solve this system of equations, we can substitute the value of x from the second equation into the first equation:

x = 3y - 5

x + y = 3

Substituting x:

3y - 5 + y = 3

4y - 5 = 3

4y = 8

y = 2

Now, we can substitute y = 2 back into either equation to find x:

x + 2 = 3

x = 1

So the solution to the system of equations is (x, y) = (1, 2).

To confirm this solution, we can graph both equations on the same coordinate plane and see where they intersect:

x + y = 3 is a line with a y-intercept of 3 and a slope of -1.

x = 3y - 5 is a line with a y-intercept of -5/3 and a slope of 3.

Graphing these lines, we can see that they intersect at the point (1, 2), confirming our solution.

b.

To solve this system of equations, we can substitute the value of y from the second equation into the first equation:

y = -2x - 4

x - y = -5

Substituting y:

x - (-2x - 4) = -5

x + 2x + 4 = -5

3x = -9

x = -3

Now, we can substitute x = -3 back into either equation to find y:

y = -2(-3) - 4

y = 2

So the solution to the system of equations is (x, y) = (-3, 2).

To confirm this solution, we can graph both equations on the same coordinate plane and see where they intersect:

y = -2x - 4 is a line with a y-intercept of -4 and a slope of -2.

x - y = -5 is a line with a y-intercept of 5 and a slope of 1.

Graphing these lines, we can see that they intersect at the point (-3, 2), confirming our solution.

Answer:

36.1

Step-by-step explanation:

The speed of the train in china is 267.4 miles per hour.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A train in France can travel at a speed of 217.4 miles per hour.

A train in China can travel 1.23 times this speed to obtain the speed of the train in china we have to multiply how many times it is faster by the speed of the train in France which is,

= (217.4× 1.23) miles per hour.

= 267.4 miles per hour.

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Answer:

Independent variable = number of bub (b)

Dependent variable = total cost (c)

Equation: c = $1.25b + $10

Timothy would spend: $20

Step-by-step explanation:

Total cost = c

Number of bub = b

✔️Total cost, c, is dependent on the number of bub, b.

Therefore:

Independent variable = number of bub (b)

Dependent variable = total cost (c)

✔️Equation that describes this situation can be written as:

c = $1.25b + $10

✔️If Timorhy buys 8 bubs, he would spend the following:

Substitute b = 8 into c = $1.25b + $10, and solve for c.

c = $1.25(8) + $10

c = $10 + $10

c = $20

The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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Answer: no

Step-by-step explanation: So, the function's graph cannot intersect the vertical asymptote because in order for it to do so, the graph should contain a point on the asymptote.

Yes, it is possible for the graph of y = f(x) to intersect a vertical asymptote, and It depends on the specific behavior and properties of the function f(x).

Given that,

The graph of a function is,

y = f (x)

Now, it is possible for the graph of y = f(x) to intersect a vertical asymptote.

While vertical asymptotes typically represent values of x where the function approaches infinity or negative infinity, there may be cases where the graph intersects the asymptote as it approaches or crosses it.

Hence, It depends on the specific behavior and properties of the function f(x).

So, The given statement is true.

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Answer:

10

Step-by-step explanation:

Addition 2/9+7/9=1. 1+7+2=10

The statement which is true about Data Visualization is:

a) Data presented in charts, graphs, and maps provides an accessible way to see and understand trends, patterns, and outliers.

Data Visualization:

Data visualization is the representation of data using common graphics such as charts, diagrams, infographics, and even animations. The visual representation of this information can communicate complex data relationships and data-driven insights in an easy-to-understand manner.

Data visualization can be used for many purposes, but it's important to note that it's not just for data teams. Executives also use it to teach organizational structure and hierarchy, and data analysts and data scientists use it to discover and explain patterns and trends. Harvard Business Review (link is outside IBM) categorizes data visualization into his four main objectives: idea generation, idea expression, visual discovery, and everyday data visibility.

Importance:

Data visualization provides a quick and effective way to communicate information in a universal way using visual information. Practice also helps businesses understand the factors that influence customer behavior. Identify areas that need improvement or need more attention. Make data more memorable for stakeholders. Understand when and where to place specific products. Then, Predict sales volume.

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Answer:

you divide all the numbers so the triangle will be at -2.5x, 1x and 2y  and the rectangle is multiplied by 2 so 5x and 4y  

Step-by-step explanation:

The thickness of the film of oil is approximately 1.0315 cubic miles.

Given the total oil spilled is 250 gallons and the area covered by oil is 1.20 square miles, we need to find the thickness of oil film. We can use the formula for this, which is Thickness of oil film = Volume of oil spilled / Area covered by oil.

To find the volume of oil spilled, we first need to convert gallons to cubic miles, which is 1 gallon = 0.00495113 cubic miles. So, 250 gallons of oil is equal to 0.00495113 x 250 = 1.2377825 cubic miles. Now, we can substitute the values in the formula to find the thickness of the oil film.

Therefore, the thickness of the film of oil is approximately 1.0315 cubic miles.

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Sum of the cubes from k = 99 to k = 200 is 380,480,499.

You can use the formula for the sum of cubes of the first n natural numbers:

∑k³ = (n(n+1)/2)²

First, we need to find the sum of the cubes from 1 to 200:

n = 200
∑k³ = (200(200+1)/2)²
∑k³ = (200(201)/2)²
∑k³ = (20100)²
∑k³ = 404010000

Next, we find the sum of cubes from 1 to 98 (we subtract one as we want to start from 99):

n = 98
∑k³ = (98(98+1)/2)²
∑k³ = (98(99)/2)²
∑k³ = (4851)²
∑k³ = 23529501

Now, subtract the sum of cubes from 1 to 98 from the sum of cubes from 1 to 200:

∑²⁰⁰_k=99 k³ = 404010000 - 23529501
∑²⁰⁰_k=99 k³ = 380480499

So, the sum of the cubes from k = 99 to k = 200 is 380,480,499.

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Answer:

2.33

Step-by-step explanation:

7 divided by 3 will equal 2.33

Bianca is the first to reach the finish line with her speed.

What is speed?

Alberto runs faster in the beginning of the race.

For the first hour of the race, Alberto keeps a 50 km/h pace.

Bianca's running pace is exponential in the meantime.

Bianca is the first to reach the finish line with her speed.

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Answer:  Initially,

Alberto

Albertostart  runs faster.

Alberto maintains a speed of

20km/h during the first hour of the race.

Meanwhile, Bianca's running speed is increasing

The first person to cross the finish line is Bianca

Step-by-step explanation:

Answer:

x = -4, y = 7

Step-by-step explanation:

The two equations are:

5x + y = -13  ... (1)

-5x - 6y = -22 ...(2)

Isolate for x in (1)

5x + y = -13

5x = -13 -y

x = (-13-y)/5

Substitute this value of x into equation (1) -5x - 6y = -22

-5 · (-13-y)/5 -6y = -22

-1(-13-y) - 6y = -22

13 + y -6y = -22

y - 6y = -22 - 13

-5y = - 35

y = -35/-5 = 7

Substitute y = 7 in equation 1
5x + 7 = -13

5x = -13 - 7

5x = -20

x = 20/-5 = -4

Ans:

x = -4, y = 7