A store sells a 33-pound bag of oranges for \$ 3.60$3.60 and a 55-pound bag of oranges for \$ 5.25$5.25. What is the difference between the price per pound for the 33-pound bag of oranges and the price per pound for the 55-pound bag of oranges? ​

Answer:

Step-by-step explanation:

gradient = 5 = [k-(-1)]/[6-2]

[k+1]/4 = 5

k+1=20

k=19

The value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5 is found to be 19 by using the formula for gradient and solving the resulting equation for k.

To find the value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5, we'll use the formula for gradient, which is (y2 - y1) / (x2 - x1).

The given points can be substituted into the formula as follows: The gradient (m) is 5. The point A(2, -1) will be x1 and y1, and point B(6, k) will be x2 and y2. Now, we set up the formula as follows: 5 = (k - (-1)) / (6 - 2).

By simplifying, the equation becomes 5 = (k + 1) / 4. To find the value of k, we just need to solve this equation for k, which is done by multiplying both sides of the equation by 4 (to get rid of the denominator on the right side) and then subtracting 1 from both sides to isolate k. So, the equation becomes: k = 5 * 4 - 1. After carrying out the multiplication and subtraction, we find that k = 20 - 1 = 19.

https://brainly.com/question/30249498

#SPJ2

when you have a point, it is a coordinate pair. in other words, it represents an x coordinate and a y coordinate that go together. it says, for (x,y), when you put x into your equation, the result will be y. thus, you can just put your point for the x and y values in the equation.

ex. (1,6)

when x = 1, y = 6

6 = m(1) + b

hope this helps <3

Answer:

Alex has 3x dollars and an extra 15 dollars in his coat pocket. He buys a new Nike shoe for 84 dollars. How much money did Alex spend that was not in his pocket.

Step-by-step explanation:

Answer:

Part A: Word problem

Maria went to the store and purchased some books for her book club. Each book cost $3, and she also bought some bookmarks at $15 each. Maria's total purchase, including tax, amounted to $84. If Maria bought x books, write an equation to represent the situation.

Part B: Solution

To solve the equation 3x + 15 = 84, we need to isolate the variable x on one side of the equation.

Step 1: Subtract 15 from both sides of the equation to eliminate the constant term on the left side:

3x + 15 - 15 = 84 - 15

3x = 69

Step 2: Divide both sides of the equation by 3 to isolate x:

3x/3 = 69/3

x = 23

So, the solution to the equation is x = 23.

Part C: Explanation

In the given equation 3x + 15 = 84, the variable x represents the number of books Maria purchased. The equation states that the cost of x books at $3 each, represented by 3x, plus the cost of $15 for bookmarks, totals to $84. Thus, the value of x represents the number of books Maria bought in this scenario. In the solution, x = 23, it means Maria purchased 23 books for her book club.

Step-by-step explanation:

There are 8,519,680 hexadecimal numbers. The result is obtained by using the multiplication principle.

Hexadecimal number system is a numbering system with the base of 16. The 16-digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. They are usually denoted by the subscript 16. For example, 429AD₍₁₆₎.

How many combination of hexadecimal numbers that can be made if:

Let's broke the problem into 3 cases.

Using the multiplication principle, we can multiply them all.

The combination of hexadecimal numbers is

= 10 × 13 × 16³

= 8,519,680

Hence, the combination that can be made is 8,519,680 hexadecimal numbers.

Learn more about hexadecimal numbers here:

brainly.com/question/13041189

#SPJ4

4:A

5:c,b

3:d

i hope this helps you have a great day

The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm

Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.

The time that school ends = 3:15 pm

The latest time for pick up after school care = 150 minutes after school ends

Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes

60 minutes = 1 hour

150 minutes = (1/60) × 150 = 2.5

The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm

Learn more on unit conversion here: https://brainly.com/question/14614674

#SPJ4

Answer: Here below I attached a picture of my work.

Step-by-step explanation:

Answer:

Benny started off with 16 comic books.

Step-by-step explanation:

x/2 + 6 = 14

solve

x/2 + 6 = 14

      -6     -6

x/2 = 8

multiply by 2

x = 16

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.

Step-by-step explanation:

We know that y - x^2 is a parabola with a vertex at (0, 0).

So if we move it 5 units to the right and 3 units down, the vertex is at (5, -3).

Since it gives you a chart, you can plug in values for x and solve for g(x), and you will eventually get a graph that looks like a parabola with vertex at (5, -3).

The given system of equations is:

{3x² - y² = 11

{1x² + 4y² = 8

To find the solutions using the elimination method, we can eliminate one variable by manipulating the equations. Let's eliminate the x² term.

First, let's multiply the second equation by 3 to make the coefficients of x² in both equations the same:

{3x² - y² = 11

{3x² + 12y² = 24

Now, subtract the first equation from the second equation:

(3x² + 12y²) - (3x² - y²) = 24 - 11

15y² = 13

Divide both sides of the equation by 15:

y² = 13/15

Taking the square root of both sides, we get:

y = ±√(13/15)

Now, substitute the value of y back into either of the original equations. Let's use the first equation:

3x² - (±√(13/15))² = 11

Simplifying, we have:

3x² - 13/15 = 11

3x² = 11 + 13/15

3x² = 176/15

Dividing both sides by 3, we get:

x² = 176/45

Taking the square root of both sides, we have:

x = ±√(176/45)

Therefore, the four solutions to the system of equations are:

1. (x, y) = (√(176/45), √(13/15))

2. (x, y) = (-√(176/45), √(13/15))

3. (x, y) = (√(176/45), -√(13/15))

4. (x, y) = (-√(176/45), -√(13/15))

In summary, the system of equations {3x² - y² = 11 and {1x² + 4y² = 8 can be solved using the elimination method. By eliminating the x² term, we obtained the value of y in terms of x. Substituting this value back into the original equations, we determined the values of x and y. The solutions to the system are four ordered pairs, each consisting of a value for x and y.

To learn more about elimination method click here : brainly.com/question/13877817

#SPJ11

Miami gets 6.12 more inches of rain.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68

While it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa.

Hence, For Miami;

= 1.61 + 2.24 + 2.99 + 3.15 + 5.35 +9.68

= 25.02

For Tampa;

= 2.24 + 2.8 + 3.03 + 2.05 + 2.09 + 6.69

= 18.90

Thus, Find difference as;

= 25.02 - 18.90

= 6.12

Therefore, Miami gets 6.12 more inches of rain.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ3

The area of the shaded segment of the circle is calculated by substracting the area of triangle from area of sector of circle So, area of shaded segment of the above circle is equals to the (12π - 9√3) cm².

Assume a sector having a radius r and a central angle of α degrees. The sector's area will be A= (α/360∘)πr². Similarly, different shapes have different area formulas. We have been provided a circle of radius 6cm. Assume that its center is O and the segment is AB. Radius of circle , r = 6 cm

Central angle,α = 120°

Area of shaded segment is calculated by the area of sector AOB of circle minus area of triangle AOB formed there. So, Area of sector AOB , A = (α/360∘)πr²

= ( 120°/360°) π6²

= (1/3) 36π = 12π cm²

As we know, OA = OB= 6cm

=> m∠OAB = m∠OBA

and m∠AOB + m∠OAB + m∠OBA = 180∘

=> 120∘ + m∠OAB + m∠OAB= 180∘

=> 2(m∠OAB) = 180∘− 120∘ = 60°

=> m∠OAB = 30° = m∠OBA

So, it is an isosceles triangle. Draw a perpendicular OC on AB then there is formed two right angled triangles. In right angled triangle OAC, 90°, 60°, 30° and OA = 6 cm then OC/6 = Sin 30°

=> OC= 3 cm and

AC = √36 - 9 = √27 = 3√3 cm

Similarly, BC = 3√3 cm so, AB = 6√3 cm. Now, area of triangle AOB = (1/2) × AB × OC = (1/2)× 6√3 ×3 = 9√3 cm²

So, required area = 12π cm² - 9√3 cm². Hence, required value is (12π - 9√3) cm².

For more information about area of sector of circle, visit :

https://brainly.com/question/22972014

#SPJ4

Complete question:

The above figure completes the question. Find the area of the shaded segment of the circle.

Answer:

1

Step-by-step explanation:

1+1=2

Click below for more info

The number of bracelets and the number of necklaces will be 10 and 5, respectively.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

A gem dealer had a proper measure of gold to make wristbands and pieces of jewelry. The amount of gold in every armband is 5 grams and the amount of gold in every accessory is 16 grams. A goldsmith utilized 130 grams.

Let 'x' be the number of Bracelets and 'y' be the number of Necklaces. Then the equation is given as,

5x + 16y = 130

The term 16y in the equation should be a multiple of 5 to get the whole value.

If the value of y is 5. Then the number of bracelets is given as,

5x + 16(5) = 130

5x + 80 = 130

5x = 50

x = 10

The number of bracelets and the number of necklaces will be 10 and 5, respectively.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Using a chi-square distribution table or calculator, locate the critical value (χ²_critical) corresponding to the degrees of freedom (df) and level of significance (α) and the rejection region is the area to the right of the critical value in the chi-square distribution.

To find the critical value(s) and rejection region(s) for a right-tailed chi-square test with a given sample size and level of significance, please follow these steps:

1. Determine the degrees of freedom (df): Subtract 1 from the sample size (n-1).

2. Identify the level of significance (α), which is typically provided in the problem.

3. Using a chi-square distribution table or calculator, locate the critical value (χ²_critical) corresponding to the degrees of freedom (df) and level of significance (α).

4. The rejection region is the area to the right of the critical value in the chi-square distribution. If the test statistic (χ²) is greater than the critical value, you will reject the null hypothesis in favor of the alternative hypothesis.

Please provide the sample size and level of significance for a specific problem, and I will help you find the critical value(s) and rejection region(s) accordingly.

Know more about critical value here:

https://brainly.com/question/15970126

#SPJ11

Answer: 79 degrees

Step-by-step explanation:

The factored form of f(x) is f(x) =  (x+2) (x+2)(x+4)      

What is a factor?

A factor is a number/expression that divides another number/expression, leaves zero remainder . In other words, if multiplying two numbers/expressions gives us a product, then the numbers/expressions we are multiplying are factors of the product because they are divisible by the product.

f(x) = x³ +8x² + 20x + 16

The value of x at which f(x) is zero, is the root

x= -2 is a root

so, ( x- (-2) ) = ( x+2) is a factor

Divide the polynomial  x³ +8x² + 20x + 16  by  ( x+2)  using long division method:

x+2)  x³ +8x² + 20x + 16  ( x² + 6x + 8

        x³ + 2x²

_______________________

               6x² + 20x + 16

                6 x² + 12x

____________________________

                            8x + 16

                            8x + 16

__________________________

                                00

f(x)= (x+2) (x² + 6x + 8 )

Factors of (x² + 6x + 8 ) are (x+2)(x+4)      

f(x) =  (x+2) (x+2)(x+4)      

Thus, the factored form of f(x) is f(x) =  (x+2) (x+2)(x+4)      

To learn more about the factor from the given link

https://brainly.com/question/25829061

#SPJ1

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

Answer:

17

Step-by-step explanation:

We can use this formula:

\(\sqrt{(x2-x1)^2 + (y2 -y1)^2}\) where x and y indicate the coordinates of the two points

\(\sqrt{4-(-4)^2 + (8-(-7)^2} = \sqrt{64 + 225} = \sqrt{289} = 17\)

Answer:

17

Step-by-step explanation:

You are given two points so you use the distance formula

\( \sqrt{( {x 2 - x1)}^{2} + ( {y2 - y1)}^{2} } \)

Substitute your points into the formula

If the property of a sample of matter depends on the amount of matter present, it is an extensive property.

Extensive properties of a substance depend on the amount or size of the substance being measured. Examples of extensive properties include mass, volume, and heat capacity.Examples of extensive properties are weight, length, volume, size, surface area, and charge. The extensive property of a substance or material varies proportionally to its size or amount. The greater the quantity or size of the substance, the greater the extent of the substance's extensive property.Therefore, it can be said that if the property of a sample of matter depends on the amount of matter present, it is an extensive property.

Learn more about  extensive property here:

https://brainly.com/question/12937142

#SPJ11

72. 43 miles is traveled in 1 hour

From the information given, we have that;

First, we convert feet to miles

1 foot = 0. 000189 miles

Then 6400 = x miles

cross multiply

x = 6400 ×  0. 000189

x = 1. 2096 miles

We have that;

1. 2096 miles is traveled in 0. 0167 hour

Then x miles is traveled in 1 hour

cross multiply

x = 1. 2096/  0. 0167

x = 72. 43 miles

Thus, 72. 43 miles is traveled in 1 hour.

Learn more about conversion here:

https://brainly.com/question/16851332

#SPJ1

Answer:

No

Step-by-step explanation: he is 3 and 1/3 feet tall. 3 feet is 36inch and 1/3 feet is 4 inches, so 36+4 is 40 inches

Answer:

The first rectangle is 3x² - 6x + 13 more square feet then the second rectangle

Step-by-step explanation:

A rule for subtracting polynomials

Steps

At the end of the expression is (7x²- 4x + 12) + -4x² - 2x + 1

At this point you combine like terms like you do with adding polynomials so ( 7x² + (-4x²) is 3x², (-4x) + (-2x) is (-6x), and 12 + 1 is 13) so the final answer would be 3x²-6x+13

In the x58 chipset (Nehalem architecture), the 64-bit Front Side Bus (FSB) was replaced with a new high-speed interconnect technology called QuickPath Interconnect (QPI).

The Front Side Bus (FSB) was a communication pathway used in older Intel processors to connect the CPU with other system components such as memory and peripherals. However, as technology advanced and the demand for faster data transfer increased, the FSB started to become a bottleneck, limiting overall system performance.

QuickPath Interconnect (QPI) was introduced with the Nehalem architecture to address this limitation. QPI is a point-to-point interconnect that provides a faster and more efficient way for the processor to communicate with other components in the system, such as other processors (in multi-socket configurations), memory, and I/O devices. Unlike the shared nature of the Front Side Bus, QPI provides dedicated pathways for data transfer between different components, reducing contention and improving overall system responsiveness.

QPI technology allowed for higher bandwidth and lower latency compared to the older FSB, enabling better performance in tasks that require efficient data exchange between different parts of the system. This architectural change contributed to improved system performance and scalability, especially in multi-socket server configurations, where multiple processors needed to work together effectively.

In summary, the 64-bit Front Side Bus in the x58 chipset was replaced with QuickPath Interconnect (QPI) in the Nehalem architecture. QPI offered faster and more efficient communication between the CPU and other system components, leading to improved overall system performance.

Learn more about QuickPath Interconnect click;

https://brainly.com/question/32252723

#SPJ12

Answer:

-1764

Step-by-step explanation:

use BODMAS rule

⇒7{-7+8[5-3(4+6)]-9(9-4)}

solve round brackets

⇒7{-7+8[5-3(10)]-9()}

multiply 3 by 10 within the square bracket

⇒7{-7+8[5-30]-9(5)}

solve square bracket

⇒7{-7+8[-25]-9(5)}

move to curly brackets and multiply first

⇒{-7-200-45}

subtract

⇒7{-252}

multiply

⇒-1764 Answer

hope that helps...

Answer:

Step-by-step explanation:

the graph is at the highest power at the top left corner because the graph shape has a even or odd chance so that is the answer

It's highest power is odd

What is graph of polynomial ?

The graph of a polynomial function will touch the x-axis at zeros with even multiplicities. The graph will cross the x-axis at zeros with odd multiplicities. The sum of the multiplicities is the degree of the polynomial function.

According to the question,

Graph of polynomial is shown in given graph,

(1) at point A graph passes linearly

(2) At point b, graph passes x-axis cubically

(3) At point c, Graph passes x-axis linearly

Hence, polynomial having degree 5

Hence, it's highest power is odd

To learn more about  graph of polynomial from here

https://brainly.in/question/17060226

#SPJ2

Answer:

16-6=10

Step-by-step explanation:

The wοrd "unabated" is used in Narrative οf the Life οf Frederick Dοuglass, An American Slave.

The wοrd "unabated" in this cοntext can be interpreted tο mean "cοntinuing withοut any reductiοn in intensity οr strength." "That cheerful eye, under the influence οf slavery, swοre red with rage; that vice, made all οf sweet accοutrement, changed tο a οne οf harsh and hοrrid discοrd; and that angelic face gave way tο that οf a demοn."

The authοr is describing hοw the slavehοlder's pοwer οver the slaves cοrrupts the wοman's character, turning her previοusly kind demeanοur intο οne οf rage and discοntent. The wοrd "unabated" emphasises hοw persistent and unyielding this transfοrmatiοn is and hοw unlikely it is that it will diminish.

By examining the surrοunding text and cοmmοn usage, I was able tο determine the definitiοn οf the wοrd "unabated." In this sentence, the authοr's descriptiοn οf the slavehοlder's transfοrmatiοn is well-suited tο the wοrd "unabated," which is generally used tο describe sοmething that cοntinues withοut any lοss οf intensity οr strength.

To know more about slavery  visit:

https://brainly.com/question/9331183

#SPJ1

The value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function f(x) = 54 sec^2 x, over the interval [-4, 4] is zero.

The Mean Value Theorem for Integrals states that if a function f(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists a number c in (a, b) such that the definite integral of f(x) from a to b is equal to f(c) times (b-a). In this case, the given function f(x) is continuous and differentiable over the interval [-4, 4]. Hence, by the Mean Value Theorem for Integrals, there exists a value c in (-4, 4) such that the integral of f(x) from -4 to 4 is equal to f(c) times (4-(-4)) = 8f(c).

As the function is periodic, its integral over the interval from 0 to π is equal to zero. Hence, the integral of the function over the interval [-4, 4] is also equal to zero. Therefore, the value(s) of c guaranteed by the Mean Value Theorem for Integrals is zero. Thus, the answer is 0.

You can learn more about Mean Value Theorem at

https://brainly.com/question/30403137

#SPJ11