Mr. Dixon is ordering pizzas and breadsticks for a school pizza party and has a budget of $76,
but no more. An order of breadsticks costs $10 and a pepperoni pizza costs $13.
Select the inequality in standard form that describes this situation. Use the given numbers
and the following variables.
x = the number of orders of breadsticks
y = the number of pepperoni pizzas
10 + x + 13 + y s 76
10x + 13y = 76
10 + x + 13 + y 2 76
10x + 13y > 76

Answer:

5P= 2P+21+45 ( sum of two sides is is equal to

the opposite exterior angle)

5P=2P +61

5P-2P=61

3P=61

p= 61÷3

p=2.33333

Answer:

p=22

Step-by-step explanation:

idek how i got this answer but i think its right.

The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

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Answer:

radius is 62.04

Step-by-step explanation:

use the formula V=

\( v= \frac{4}{3} \pi {r}^{3} \)

The solution for p(-2) in the function when the function p(n) = 2n is -2

From the question, we have the following equation that can be used in our computation:

p(n)=2n

To make the equation legible, we need to rewrite it

So, we have the following representation

p(n) = 2n

Also from the question, we have

p(-1)

This means that the value of n is -1, and we calculate p(n) when n = -1

Substitute the known values in the above equation, so, we have the following representation

p(-1) =  2 * -1

So, we have the following equation

p(-1) =  2 * -1

There is no constant to add or subtract to both sides of the equation

So, we have the following representation

p(-1) =  -2

Hence, the solution is -2

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One reasonable explanation for why humans have adopted the system of grouping numbers into sub-parts for telephone numbers and social security numbers is to enhance memorability and facilitate easier communication.

By grouping numbers into sub-parts or chunks, such as using hyphens or spaces, it creates a visual and cognitive separation that helps individuals remember and process the information more effectively. It allows for easier recognition and recall of the numbers when needed, especially when dealing with long sequences.

Furthermore, grouping numbers can also aid in communication and transcription. When sharing or dictating numbers, breaking them into sub-parts makes it easier to relay the information accurately, reducing the chance of errors. It enhances clarity and comprehension, particularly when transmitting important or sensitive data like social security numbers.

Overall, the adoption of grouping numbers into sub-parts for telephone numbers and social security numbers is a human-designed convention that simplifies memorization, facilitates communication, and reduces the likelihood of mistakes or misunderstandings.

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Answer:

B.(4,20)

Step-by-step explanation:

Given: \(x^2 -24x = -80\)

To solve the quadratic equation by completing the square, we follow these steps.

Step 1: Divide the coefficient of x by 2

\(-\dfrac{24}{2}=-12\)

Step 2: Square your result fro Step 1

\((-12)^2\)

Step 3: Add the result form step 2 to both sides of the equation

\(x^2 -24x+(-12)^2 = -80+(-12)^2\)

Step 4: Rewrite the Left hand side in the form \((x+k)^2\)

\((x-12)^2=-80+144\\(x-12)^2=64\)

Step 5: Take square roots of both sides

\(x-12=\pm \sqrt{64}\)

Step 6: Solve for x

\(x=12\pm \sqrt{64}\\=12\pm8\\x=12+8$ or x=12-8\\x=20 or x=4.\)

Therefore, the solution set of the equation is (4,20).

Answer:

its probably the first 1

Answer:

The value that likely Toby measures is between 1 and 2 millimetres.

Step-by-step explanation:

Answer:

x = 35, x = 27

Step-by-step explanation:

(9)

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

141° is an exterior angle, thus

x + 24 + 2x + 12 = 141 , that is

3x + 36 = 141 ( subtract 36 from both sides )

3x = 105 ( divide both sides by 3 )

x = 35

-----------------------------------------------------------

(11)

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

2x - 9 + 3x + 2x = 180

7x - 9 = 180 ( add 9 to both sides )

7x = 189 ( divide both sides by 7 )

x = 27

Answer:

Unfortunately I can't do the first one, but the second one is easy

Step-by-step explanation:

To find X in the Q) 11:

1. The triangle is an equilateral traingles meaning angles add up to 180°

2. Add the numbers - 2x - 9 + 3x + 2x = 7x -9

3. Add 9 to 180 (your adding because you changed the side of the number) - 189 = 7x

4. Divide 7 by 189

Your answer is x = 27

The drink will be F + 7.5 degrees Fahrenheit warm if left out for 30 minutes.

Let us first find the rate at which the drink is warming up.

We can use the formula,

T = T0 + k.t

where T is the temperature of the drink after time t,

T0 is the initial temperature, `

k is the rate of warming and t is the time.

Since the drink goes from F to F in 4 minutes,

we have F = F + 4k or k = 1/4.

Therefore, after 30 minutes, we have T = F + (1/4) * 30 = F + 7.5`.

Hence, the drink will be F + 7.5 degrees Fahrenheit warm if left out for 30 minutes.

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Accoding to the calculations , the correct answer is:

A) Depreciation charge 16,000; revaluation surplus £20,000

According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.

In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).

To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:

£400,000 / 25 = £16,000

Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.

Now, let's calculate the balance on the revaluation surplus as at that date.

The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).

Revaluation surplus = Fair value - Carrying amount

Revaluation surplus = £500,000 - £480,000

Revaluation surplus = £20,000

Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.

Based on the calculations above, the correct answer is:

A) Depreciation charge £16,000; revaluation surplus £20,000

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Answer: The value of sinB is b/c

Step-by-step explanation:since sinB =P/H

Here, P=perpendicular

         H=hypotenuse

so here, P=b and H=c

sinB=b/c

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The outer surface area of the ice coating on a spherical iron ball is decreasing at a rate of approximately 57.636 square centimeters per minute when the outer diameter (ball plus ice) is 146 cm.

To find the rate at which the outer surface area of the ice coating is decreasing, we need to use the concept of related rates. Let's denote the radius of the iron ball as "r" and the thickness of the ice coating as "h." The outer diameter of the ball plus ice is then given as 2r + 2h, which is equal to 146 cm in this case.

We know that the volume of the ice coating is equal to the volume of the spherical shell formed between the outer and inner surfaces of the ice coating. The volume of this shell can be expressed as V = 4/3π((r + h)^3 - r^3).

Since the ice melts at a rate of 39 ml/min, which is equivalent to 39 cm^3/min, we can differentiate the volume equation with respect to time to obtain dV/dt. This represents the rate at which the volume of the ice coating is changing.

To find the rate at which the outer surface area of the ice coating is decreasing, we need to find dA/dt, where A represents the outer surface area. We can relate dA/dt and dV/dt by using the formula for the surface area of a spherical shell: A = 4π(r + h)^2.

By substituting the given values into the equations and differentiating, we can solve for dA/dt. The resulting value will be approximately 57.636 square centimeters per minute, rounded to the nearest thousandth. This indicates the rate at which the outer surface area of the ice coating is decreasing when the outer diameter (ball plus ice) is 146 cm.

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The point N is on the same line than points M and N.

Herein we find a line segment formed by points M and L and a point N, whose location respecting to line segment ML must be checked. The point N is on the line segment ML if and only if line segment MN is a multiple of line segment ML. That is:

MN = k · ML

N(x, y) - M(x, y) = k · [L(x, y) - M(x, y)]

If we know that M(x, y) = (4, 1), L(x, y) = (7, 3) and N(x, y) = (1, - 1), then the condition is checked:

MN = N(x, y) - M(x, y)

MN = (1, - 1) - (4, 1)

MN = (- 3, - 2)

ML = L(x, y) - M(x, y)

ML = (7, 3) - (4, 1)

ML = (3, 2)

MN = - (3, 2)

MN = - ML

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Answer:

Step-by-step explanation:

so we have

8 men.........................................9 women

40 men.......................................45 women

there are 40 men in the recital

45/9=5

5*8=40 men

The value of the vector - u - w is [3 -5]

From the question, we have the following vector that can be used in our computation:

u = [-5 3], v=[4 -3] , and w=[2 2] .

Using the above as a guide, we have the following:

- u - w = -[-5 3] - [2 2]

So, we have

- u - w = [5 -3] - [2 2]

When evaluated, we have

- u - w = [3 -5]

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The equation lim(x→1) [x^2/(x-2)] / (x-1) = lim(x→1) (x^2) is correct due to the cancellation of the common factor of (x-1) in both the numerator and denominator. This cancellation allows us to simplify the expression and evaluate the limit.

In the given equation, we have the limit of the expression [x^2/(x-2)] / (x-1) as x approaches 1. We can rewrite this expression as (x^2) / [(x-2)(x-1)]. By factoring out the common factor of (x-1) in the numerator and denominator, we obtain [(x-1)(x+1)] / [(x-2)(x-1)].

Since the factor (x-1) is common in both the numerator and denominator, it cancels out, resulting in the simplified expression of (x+1) / (x-2).

Now, as x approaches 1, we can substitute the value into the simplified expression to evaluate the limit, giving us (1+1) / (1-2) = 2 / -1 = -2.

Therefore, the equation lim(x→1) [x^2/(x-2)] / (x-1) = lim(x→1) (x^2) is correct, and the value of the limit is -2.

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The right response is that the two linear equation never intersect , because the graph of these two linear equation will be two parallel lines.

How many types of solution are there for two linear equations ?

There are 2 types of solution :
Consistent :

A consistent system is said to be an independent system if it has a single solution.

A consistent system is said to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide, so the equations represent the same line. Each point on the line represents a pair of coordinates that fits the system. So there are an infinite number of solutions.

Non-consistent :

Another type of system of linear equations is the inconsistent system, in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no common points for both lines; therefore, there is no solution to the system and if we draw the graph of these equations then the graphs of both equation becomes parallel to each other.

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The two linear equations never intersect.

When a system of two linear equations in two variables has no solution, it means that there is no set of values for the variables that satisfies both equations simultaneously. Geometrically, this corresponds to the two lines represented by the equations being parallel. Since parallel lines never intersect, the statement "The two linear equations never intersect" accurately describes the situation.

If the two linear equations were graphed on a coordinate plane, they would appear as two distinct lines that run parallel to each other without ever crossing or intersecting. This indicates that there is no common point of intersection between the lines, and therefore no solution exists for the system of equations.

It is important to note that this scenario is different from the case where the two linear equations represent the same line. In that case, the equations would be equivalent, and every point on the line would satisfy both equations. However, when there is no solution, it means that the lines do not share any common points and never intersect.

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Answer:

thank you

Step-by-step explanation:

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Answer:

8 units

Step-by-step explanation:

I can count

In regression analysis, if the dependent variable is measured in dollars, the independent variable can be units.

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In general, if the rectangles are all the same width and if they are placed to the right of the curve, the Riemann sum will be an overestimate of the true area. On the other hand, if the rectangles are placed to the left of the curve, the Riemann sum will be an underestimate of the true.

Another method to determine if a Riemann sum is an overestimate or underestimate, we can compare it to the exact value of the definite integral. If the Riemann sum is larger than the definite integral, it is an overestimate. If the Riemann sum is smaller than the definite integral, it is an underestimate. Additionally, we can also check the sign of the function being integrated and the width of the rectangles. If the function is positive and the width of the rectangles is decreasing, then the Riemann sum will be "an overestimate". If the function is negative and the width of the rectangles is decreasing, then the Riemann sum will be "an underestimate".

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First, we need to draw the points on the plane to get a better idea of the problem, as shown below

We can obtain the distance between the points and then use the next formula

where a, b and c are the sides of the triangle.

In our case,

Then, the area is

Simplifying the expression,

Therefore,

Finally,

The area of the triangle is 18.5 square units, and the perimeter is

The perimeter is 20.3 units

Raw data can be calculated by using mathematical operations such as addition, subtraction, multiplication, and division.

This can be done manually or by using a calculator or a computer program .Additionally, statistical methods such as mean, median, mode, and standard deviation can be used to calculate raw data.Raw data can also be manipulated in various ways. For example, data can be sorted, filtered, and organized into categories or hierarchies. Data can also be visualized in graphs, charts, and diagrams to make patterns and trends easier to identify. Statistical methods such as correlation and regression can also be used to analyze and interpret raw data. Additionally, data can be combined with other data sets to create new insights and relationships. Finally, machine learning and predictive analytics can be used to make predictions about future outcomes based on existing data.

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Answer:

16

Step-by-step explanation:

1/2 ^(-1)=2

8×2=16

Hope that helped.

Answer:

where is the drawing l don't understand the measurements

Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

dz/dr = (∂z/∂x) * cos(!) + (∂z/∂y) * sin(!) By applying the chain rule, we can calculate the derivative dz/dr.

The derivative of z with respect to r is given by the chain rule:

dz/dr = (∂z/∂x) * (∂x/∂r) + (∂z/∂y) * (∂y/∂r)

Where (∂z/∂x) and (∂z/∂y) are the partial derivatives of z with respect to x and y respectively, and (∂x/∂r) and (∂y/∂r) are the partial derivatives of x and y with respect to r.

Since x = r cos! and y = rsin!, we can substitute these values into the above equation to get:

dz/dr = (∂z/∂x) * cos(!) + (∂z/∂y) * sin(!)

Thus, by applying the chain rule, we can calculate the derivative dz/dr if we know the partial derivatives of z with respect to x and y.

dz/dr = (∂z/∂x) * cos(!) + (∂z/∂y) * sin(!) By applying the chain rule, we can calculate the derivative dz/dr if we know the partial derivatives of z with respect to x and y.

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Answer:

division

you divide 3 into 12 getting you 4=y

Answer:

Shortest distance of first mantel should be 3 ft from left end and shortest distance of second mantel should be 3 ft from right end

Step-by-step explanation:

Length of the mantel = 12 ft

Since first vase is 1/4 of the distance from one end of the mantel, then let's choose left end;.

Distance of first vase from left end = 1/4 × 12 = 3 ft

Also, distance of second vase from left end = 3/4 × 12 = 9 ft

This second vase is 9 ft from left end. Which means it is 3 ft from right end since the mantel is 12 ft in length.

Thus,shortest distance of first mantel should be 3 ft from left end and shortest distance of second mantel should be 3 ft from right end.

The number of waffles can be made from 15 eggs are, 20 waffles.

the waffles can be calculates as follows

4 cups of fluor + 6 eggs +2 tbsp oil = 8 waffles

we need 6 eggs to make 8 waffles

So, the waffles can we make from 15 eggs = \(\frac{8}{6} X 15 = 20\) waffles

Hence, the number of waffles can be made from 15 eggs are 20 waffles.

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The properties of the parallelograms are solved

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the figure be represented as A

Now ,

a) The figure with 2 pairs of parallel sides = Square , Rectangle , Parallelogram , Rhombus

b) The figure with 1 pair of parallel sides = Trapezium

c) The figure with no right angles = Rhombus

d) The figure with 4 right angles = Square , Rectangle

e) The figure with all sides equal = Square , Rhombus

f) The figure with opposite sides equal = Square , Rectangle , Parallelogram , Rhombus

e) The figure with opposite angles equal = Square , Rectangle , Parallelogram , Rhombus

Hence , the properties of the parallelogram are solved

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